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| Subject: | Mathematics |
| Topic: | Algebra |
| Views: | 176,483 |
Algebra I Worked Examples with Sal Khan
Video Lectures
Displaying all 187 video lectures.
Lecture 1 Play Video |
Example: two-step equation with numerator x | Linear equations | Khan Academ Solve the equation by isolating the term with numerator x. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equa... Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 2 Play Video |
Example 2: Variables on both sides | Linear equations Solving Equations 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equa... Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 3 Play Video |
Solving equations with the distributive property | Linear equations Solving Equations with the Distributive Property Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equa... Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 4 Play Video |
A clever application of the distributive property to solve a multi-step equation Sal solves the equation (3/4)x + 2 = (3/8)x - 4 using the distributive property Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equa... Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 5 Play Video |
Linear systems word problem with substitution | Systems of equations | 8th grade Algebraic Word Problem Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub... |
Lecture 6 Play Video |
Challenge example: Sum of integers | Linear equations Sum of Consecutive Odd Integers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equa... Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 7 Play Video |
Example: Solving for a variable | Linear equations Example of solving for a variable Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equa... Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 8 Play Video |
Solving for F in terms of C | Linear equations Solving for a Variable 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equa... Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 9 Play Video |
Absolute value smallest to biggest | Pre-Algebra Not only will we identify several absolute values in this example, but we will order them from smallest to largest. Content provided by The NROC Project - ©Monterey Institute for Technology and Education Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/absolute-value/a... Watch the next lesson: https://www.khanacademy.org/math/arithmetic/absolute-value/a... Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/absolute-value/a... Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub... Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanaca... |
Lecture 10 Play Video |
Absolute value and number lines | Negative numbers and absolute value | Pre-Algebra One easy way to think of absolute value is the distance it is from zero. To do that, a number line comes in handy. Watch and learn. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/absolute-value/a... Watch the next lesson: https://www.khanacademy.org/math/arithmetic/absolute-value/a... Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/negatives-absol... Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub... Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanaca... |
Lecture 11 Play Video |
Absolute value equations 1 | Linear equations Absolute Value Equations 1 Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 12 Play Video |
Absolute value equation example 2 | Linear equations Example of solving an absolute value equation Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 13 Play Video |
Patterns in sequences 1 | Linear equations Patterns in Sequences 1 Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 14 Play Video |
Patterns in sequences 2 | Linear equations Patterns in Sequences 2 Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 15 Play Video |
Equations of sequence patterns | Sequences, series and induction | Precalculus Equations of Sequence Patterns Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/s... Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/s... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/s... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 16 Play Video |
Finding the 100th term in a sequence | Sequences, series and induction | Precalculus Finding the 100th Term in a Sequence Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/s... Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/s... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/s... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 17 Play Video |
Recognize functions from tables | Functions and their graphs I Functional Relationships 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_grap... Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_grap... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_grap... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 18 Play Video |
Testing if a relationship is a function | Functions and their graphs I Testing if a relationship is a function Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_grap... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_grap... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 19 Play Video |
Domain of modeling functions | Functions and their graphs I Domain of modeling functions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_grap... Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_grap... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_grap... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 20 Play Video |
Domain and range 2 | Functions and their graphs I Domain and Range 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_grap... Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_grap... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_grap... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 21 Play Video |
Direct variation 1 | Rational expressions I Direct Variation 1 Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressio... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressio... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 22 Play Video |
Basic rate problem | Linear equations Basic Rate Problem Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 23 Play Video |
Basic Linear Function U03_L2_T4_we1 : Basic Linear Function Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 24 Play Video |
Modeling with linear equations example 1 | Linear equations and functions | 8th grade Exploring linear relationships Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub... |
Lecture 25 Play Video |
Recognizing linear functions | Linear equations and functions | 8th grade Recognizing Linear Functions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub... |
Lecture 26 Play Video |
Exploring nonlinear relationships U03_L2_T5_we2 : Exploring nonlinear relationships |
Lecture 27 Play Video |
Finding the slope of a line from its graph Slope of a line Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equa... Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equa... |
Lecture 28 Play Video |
Interpreting linear tables word problems example 1 Slope Example Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equa... Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equa... |
Lecture 29 Play Video |
Finding intercepts from an equation X and Y intercepts Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equa... Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equa... |
Lecture 30 Play Video |
x- and y-intercepts 2 | Linear equations and functions | 8th grade X and Y intercepts 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub... |
Lecture 31 Play Video |
Graph from slope-intercept equation example Graphing a line in slope intercept form Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equa... Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equa... |
Lecture 32 Play Video |
Equation of a line 2 U04_L1_T3_we2 : Equation of a line |
Lecture 33 Play Video |
Converting linear equations to slope-intercept form | 8th grade Converting to slope-intercept form Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub... |
Lecture 34 Play Video |
Writing equations in all forms Point-slope and standard form Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equa... Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equa... |
Lecture 35 Play Video |
Parallel Lines U04_L2_T1_we1 : Parallel Lines More free lessons at: http://www.khanacademy.org/video?v=T-aCweuimis Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 36 Play Video |
Parallel Lines 2 U04_L2_T1_we2 : Parallel Lines 2 More free lessons at: http://www.khanacademy.org/video?v=lOWXZFP8Vuc Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 37 Play Video |
Parallel lines 3 U04_L2_T1_we3 : Parallel lines 3 More free lessons at: http://www.khanacademy.org/video?v=y5yNi08cr6I Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 38 Play Video |
Perpendicular Lines U04_L2_T2_we1 : Perpendicular Lines More free lessons at: http://www.khanacademy.org/video?v=0671cRNjeKI Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 39 Play Video |
Perpendicular lines 2 U04_L2_T2_we2 : Perpendicular lines 2 More free lessons at: http://www.khanacademy.org/video?v=TsEhZRT16LU Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 40 Play Video |
Constructing and solving a two-step inequality | Linear inequalities We'll talk you through this fun and challenging inequality problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities... Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities... Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities... |
Lecture 41 Play Video |
Solving a two-step inequality | Linear inequalities We're turning up the heat a little and asking you to help us solve a multi-step inequality problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities... Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities... Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities... |
Lecture 42 Play Video |
Constructing and solving a one-step inequality | Linear inequalities Inequalities are more than abstract concepts and exercises. They help solve real life problems. Here's an example. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities... Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities... Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities... |
Lecture 43 Play Video |
Absolute value inequalities example 1 | Linear equations Absolute value inequalities, graph solution on number line Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 44 Play Video |
Absolute inequalities 2 | Linear equations Absolute Inequalities 2 Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 45 Play Video |
Absolute value inequalities example 3 | Linear equations Absolute value inequalities 3 Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 46 Play Video |
Writing and using inequalities | Linear inequalities Writing and using inequalities Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities... Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities... |
Lecture 47 Play Video |
Constructing and solving a multi-step inequality example Learn how to solve an inequality word problem about cell phone texting plans. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities... Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities... Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities... |
Lecture 48 Play Video |
Constructing, solving two-step inequality example | Linear inequalities Let's tackle this word problem together. We'll interpret the information and then construct a linear inequality to solve it. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities... Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities... Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities... |
Lecture 49 Play Video |
Solving and graphing linear inequalities in two variables 1 | Algebra Basics Solving and graphing linear inequalities in two variables. Created by Sal Khan and Monterey Institute for Technology and Education. Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/core-algebra... Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/core-algebra... Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg |
Lecture 50 Play Video |
Graphing linear inequalities in two variables 2 (old and redone in newer video) U05_L2_T1_we2 : Graphing linear inequalities in two variables |
Lecture 51 Play Video |
Graphing inequalities and checking solutions example Learn how to graph two-variable linear inequalities and check a solution using the graph. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-variable-linear... Watch the next lesson: https://www.khanacademy.org/math/algebra/two-variable-linear... Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-variable-linear... |
Lecture 52 Play Video |
Solving systems by graphing U06_L1_T1_we1 Solving systems by graphing |
Lecture 53 Play Video |
Analyzing solutions to linear systems graphically 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/systems-of-linear-e... Watch the next lesson: https://www.khanacademy.org/math/algebra/systems-of-linear-e... Missed the previous lesson? https://www.khanacademy.org/math/algebra/systems-of-linear-e... |
Lecture 54 Play Video |
Example 3: Graphically solving systems | Systems of equations | 8th grade Solving systems by graphing 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub... |
Lecture 55 Play Video |
Analyzing solutions to linear systems algebraically Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/systems-of-linear-e... Watch the next lesson: https://www.khanacademy.org/math/algebra/systems-of-linear-e... Missed the previous lesson? https://www.khanacademy.org/math/algebra/systems-of-linear-e... |
Lecture 56 Play Video |
Example 2: Solving systems by substitution | Systems of equations | 8th grade Solving systems by substitution 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub... |
Lecture 57 Play Video |
Example 3: Solving systems by substitution | Systems of equations | 8th grade Solving systems by substitution 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub... |
Lecture 58 Play Video |
Systems of equations word problems example 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/systems-of-linear-e... Watch the next lesson: https://www.khanacademy.org/math/algebra/systems-of-linear-e... Missed the previous lesson? https://www.khanacademy.org/math/algebra/systems-of-linear-e... |
Lecture 59 Play Video |
Example 2: Solving systems by elimination | Systems of equations | 8th grade Solving systems by elimination 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub... |
Lecture 60 Play Video |
Example 3: Solving systems by elimination | Systems of equations | 8th grade Solving systems by elimination 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th... 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub... |
Lecture 61 Play Video |
Systems and rate problems U06_L2_T1_we1 Systems and rate problems More free lessons at: http://www.khanacademy.org/video?v=at4T4n4JYNc Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 62 Play Video |
Systems and rate problems 2 U06_L2_T1_we2 Systems and rate problems 2 More free lessons at: http://www.khanacademy.org/video?v=H5w55UbIZTw Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 63 Play Video |
Systems and rate problems 3 U06_L2_T1_we3 Systems and rate problems 3 More free lessons at: http://www.khanacademy.org/video?v=hTBQUibtnBk Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 64 Play Video |
Mixture problems 1 U06_L2_T2_we1 Mixture problems 1 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 65 Play Video |
Mixture problems 2 | Linear equations Mixture problems 2 Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 66 Play Video |
Mixture problems 3 | Linear equations Mixture problems 3 Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 67 Play Video |
Graphing systems of inequalities U06_L3_T1_we1 Graphing systems of inequalities |
Lecture 68 Play Video |
Graphing systems of inequalities and checking solutions example I Learn how to graph systems of two-variable linear inequalities and check a solution using the graph. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/sy... Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/sy... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/sy... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 69 Play Video |
Graphing systems of inequalities 3 U06_L3_T1_we3 Graphing systems of inequalities 3 |
Lecture 70 Play Video |
Exponent Rules 1 U07_L1_T1_we1 Exponent Rules 1 |
Lecture 71 Play Video |
Exponent Rules 2 U07_L1_T1_we2 Exponent Rules 2 |
Lecture 72 Play Video |
Exponent Rules 3 U07_L1_T1_we3 Exponent Rules 3 |
Lecture 73 Play Video |
Scientific notation 1 U07_L1_T2_we1 Scientific notation 1 |
Lecture 74 Play Video |
Scientific notation 2 U07_L1_T2_we2 Scientific notation 2 |
Lecture 75 Play Video |
U.S. national debt (scientific notation word problem) | Pre-Algebra Ever wonder what your part of the national debt is? It might surprise you. What isn't surprising is that you can use scientific notation and division to figure out the answer. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radic... Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radic... Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radic... Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub... Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanaca... |
Lecture 76 Play Video |
Simplifying expressions with exponents Simplifying Expressions with Exponents Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/... Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/... Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/... |
Lecture 77 Play Video |
Simplifying expressions with exponents 2 Simplifying Expressions with Exponents 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/... Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/... Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/... |
Lecture 78 Play Video |
Simplifying expressions with exponents 3 Simplifying Expressions with Exponents 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/... Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/... Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/... |
Lecture 79 Play Video |
Pythagorean theorem 1 | Right triangles and trigonometry | Geometry Pythagorean Theorem 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/right_triangles_to... Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_to... Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_to... Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub... |
Lecture 80 Play Video |
Pythagorean theorem 2 | Right triangles and trigonometry | Geometry Pythagorean Theorem 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/right_triangles_to... Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_to... Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_to... Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub... |
Lecture 81 Play Video |
Pythagorean theorem 3 | Right triangles and trigonometry | Geometry Pythagorean Theorem 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/right_triangles_to... Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_to... Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_to... Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub... |
Lecture 82 Play Video |
Simplifying a cube root | Exponents, radicals, and scientific notation | Pre-Algebra Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radic... Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radic... Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radic... Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub... Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanaca... |
Lecture 83 Play Video |
Simplifying Radical Expressions 2 U07_L3_T1_we2 Simplifying Radical Expressions 2 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 84 Play Video |
Simplifying Radical Expressions 3 U07_L3_T1_we3 Simplifying Radical Expressions 3 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 85 Play Video |
Solving radical equations 1 | Exponent expressions and equations Solving Radical Equations 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/... Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/... Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/... |
Lecture 86 Play Video |
Solving radical equations 2 | Exponent expressions and equations Solving Radical Equations 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/... Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/... Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/... |
Lecture 87 Play Video |
Solving radical equations 3 | Exponent expressions and equations Solving Radical Equations 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/... Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/... Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/... |
Lecture 88 Play Video |
Applying radical equations 1 | Exponent expressions and equations Applying Radical Equations 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/... Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/... Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/... |
Lecture 89 Play Video |
Applying radical equations 2 | Exponent expressions and equations Applying Radical Equations 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/... Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/... Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/... |
Lecture 90 Play Video |
Applying radical equations 3 | Exponent expressions and equations Applying Radical Equations 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/... Watch the next lesson: https://www.khanacademy.org/math/algebra/rational-and-irrati... Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/... |
Lecture 91 Play Video |
Fractional exponent expressions 1 | Exponent expressions and equations Fractional Exponent Expressions 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/... Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/... Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/... |
Lecture 92 Play Video |
Fractional exponent expressions 2 | Exponent expressions and equations Fractional Exponent Expressions 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/... Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/... Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/... |
Lecture 93 Play Video |
Fractional exponent expressions 3 | Exponent expressions and equations Fractional Exponent Expressions 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/... Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/... Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/... |
Lecture 94 Play Video |
Example 2: Multiplying two monomials with two variables Express the area of a rectangle with length 4xy and width 2y as a monomial. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-pol... Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-pol... Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-pol... |
Lecture 95 Play Video |
Multiplying and dividing monomials 2 | Rational expressions I Multiplying and Dividing Monomials 2 Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressio... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressio... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 96 Play Video |
Multiplying and dividing monomials 3 | Rational expressions I Multiplying and Dividing Monomials 3 Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressio... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressio... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 97 Play Video |
Example 1: Modeling with polynomials Write a binomial to express the difference between the area of a rectangle and the area of a circle. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-pol... Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-pol... |
Lecture 98 Play Video |
Example 2: Modeling with polynomials Write a polynomial to express the total value of p twenty dollar bills, q ten dollar bills, and r five dollar bills. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-pol... Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-pol... |
Lecture 99 Play Video |
Example 2: Adding polynomials Simplify (5x^2 + 8x - 3) + (2x^2 - 7x + 13x) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-pol... Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-pol... Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-pol... |
Lecture 100 Play Video |
Adding and subtracting polynomials | Algebra Basics Add (5x^2+8x-3) + (2x^2 - 7x + 13x). Created by Sal Khan and Monterey Institute for Technology and Education. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/algebra-basics/quadratics-p... Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/quadratics-p... Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/quadratics-p... Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg |
Lecture 101 Play Video |
Example 4: Adding and subtracting polynomials Simplify (x^3 + 3x - 6) + (-2x^2 + x - 2) - (3x - 4) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-pol... Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-pol... Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-pol... |
Lecture 102 Play Video |
Multiplying Polynomials1 U08_L2_T3_we1 Multiplying Polynomials1 More free lessons at: http://www.khanacademy.org/video?v=HB48COey2O8 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 103 Play Video |
Example 3: Modeling with polynomials Write a polynomial expression that represents the total area of a window made of wood and glass. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-pol... Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-pol... |
Lecture 104 Play Video |
Example 3: Multiplying a binomial by a polynomial word problem I Find the volume of a tank whose base has an area of 3x^2 + 30x + 5 square feet and whose height is 8x - 5 feet. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 105 Play Video |
Squaring a binomial | Quadratics and polynomials | Algebra Basics Squaring a binomial. Created by Sal Khan and Monterey Institute for Technology and Education. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/algebra-basics/quadratics-p... Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/quadratics-p... Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/quadratics-p... Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg |
Lecture 106 Play Video |
Example 3: Finding the square of a binomial with two variables Find the area of a square with side (6x-5y). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-pol... Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-pol... Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-pol... |
Lecture 107 Play Video |
U08_L2_T4_we3 Special Products of Polynomials 3 U08_L2_T4_we3 Special Products of Polynomials 3 |
Lecture 108 Play Video |
Bay Area CBS Station with Salman Khan Bay Area CBS Station with Salman Khan Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 109 Play Video |
Factoring and the Distributive Property U09_L1_T1_we1 Factoring and the Distributive Property More free lessons at: http://www.khanacademy.org/video?v=auQU-9KNG74 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 110 Play Video |
Example 2: Factor a quadratic binomial with two variables by taking a common factor Factor 20u^2v - 10uv^2 as 10uv(2u-v). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-pol... Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-pol... Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-pol... |
Lecture 111 Play Video |
Example 4: Factor a polynomial with two variables by taking a common factor Factor 4x^4y-8x^3y-2x^2 as 2x^2(2x^2y-4xy). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-pol... Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-pol... Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-pol... |
Lecture 112 Play Video |
Example 7: Factor a polynomial with two variables by grouping U09_L1_T2_we1 Factoring Trinomials by Grouping 1 More free lessons at: http://www.khanacademy.org/video?v=HXIj16mjfgk Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 113 Play Video |
Factoring Trinomials by Grouping 2 U09_L1_T2_we2 Factoring Trinomials by Grouping 2 More free lessons at: http://www.khanacademy.org/video?v=QQhkEGp-YQQ Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 114 Play Video |
U09_L1_T2_we3 Factoring Trinomials by Grouping 3 U09_L1_T2_we3 Factoring Trinomials by Grouping 3 More free lessons at: http://www.khanacademy.org/video?v=fVIZmOQBS5M |
Lecture 115 Play Video |
Example 2: Factoring quadratics by grouping Factor 4y^2+4y-15 as (2y-3)(2y+5) by grouping. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-pol... Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-pol... Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-pol... |
Lecture 116 Play Video |
Example 3: Factoring quadratics by taking a common factor and grouping I Factor 35k^2+100k-15 as 5(k+3)(7k-1) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 117 Play Video |
Example 4: Factoring quadratics by taking a negative common factor and grouping Factor -12f^2-38f+22 as -2(2f-1)(3f+11). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 118 Play Video |
Example 3: Factoring quadratics as a perfect square of a sum: (a+b)^2 Factor -4t^2-12t-9 as -1(2t+3)(2t+3), or -(2t+3)^2. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-pol... Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-pol... Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-pol... |
Lecture 119 Play Video |
Example 5: Factoring a fourth degree polynomial using the "perfect square” form Factor 25x^4-30x^2+9 as (5x^2-3)^2. Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 120 Play Video |
Example 6: Factoring a difference of squares with two variables I Factor 49x^2-49y^2 as (7x+7y)(7x-7y) or as 49(x+y)(x-y). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 121 Play Video |
Solving a quadratic equation by factoring I Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 122 Play Video |
Recognizing a perfect square quadratic I Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 123 Play Video |
Dimensions from volume of box | Quadratic equations Solving Quadratic Equations by Factoring 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/factorin... Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/completi... Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/factorin... |
Lecture 124 Play Video |
Quadratic Functions 1 U10_L1_T1_we1 Quadratic Functions 1 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 125 Play Video |
Parabola vertex and axis of symmetry | Quadratic equations Parabola vertex and axis of symmetry Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/solving_... Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/solving_... Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/solving_... |
Lecture 126 Play Video |
Graphing a parabola by finding the roots and vertex | Quadratic equations Graphing a parabola by finding the roots and vertex Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/solving_... Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/solving_... Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/solving_... |
Lecture 127 Play Video |
Example 1: Completing the square | Quadratic equations Completing the Square 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/completi... Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/completi... Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/completi... |
Lecture 128 Play Video |
Example 2: Completing the square | Quadratic equations Completing the Square 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/completi... Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/completi... Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/completi... |
Lecture 129 Play Video |
Completing the square for vertex form | Quadratic equations Completing the Square 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/exercise/rewriting-expressions-t... Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/features... Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadrati... |
Lecture 130 Play Video |
Completing the square for quadratic formula | Quadratic equations Completing the Square 4 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/completi... Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadrati... Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/completi... |
Lecture 131 Play Video |
Example 1: Using the quadratic formula | Quadratic equations Quadratic Formula 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadrati... Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadrati... |
Lecture 132 Play Video |
Example 2: Using the quadratic formula | Quadratic equations Quadratic Formula 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadrati... Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadrati... |
Lecture 133 Play Video |
Example 3: Using the quadratic formula | Quadratic equations Quadratic Formula 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadrati... Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadrati... |
Lecture 134 Play Video |
Applying Quadratic Functions 1 U10_L2_T1_we1 Applying Quadratic Functions 1 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 135 Play Video |
Applying Quadratic Functions 2 U10_L2_T1_we2 Applying Quadratic Functions 2 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 136 Play Video |
Applying Quadratic Functions 3 U10_L2_T1_we3 Applying Quadratic Functions 3 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |
Lecture 137 Play Video |
Non-linear systems of equations 1 I Non-Linear Systems of Equations 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/no... Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/no... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/no... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 138 Play Video |
Non-linear systems of equations 2 I Non-Linear Systems of Equations 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/no... Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/no... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/no... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 139 Play Video |
Non-linear systems of equations 3 I Non-Linear Systems of Equations 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/no... Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/no... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/no... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 140 Play Video |
Simplifying rational expressions 1 | Polynomial and rational functions I Simplifying Rational Expressions 1 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 141 Play Video |
Simplifying rational expressions 2 | Polynomial and rational functions I Simplifying Rational Expressions 2 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 142 Play Video |
Simplifying rational expressions 3 | Polynomial and rational functions I Simplifying Rational Expressions 3 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 143 Play Video |
Multiplying and dividing rational expressions 1 I Multiplying and Dividing Rational Expressions 1 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 144 Play Video |
Multiplying and dividing rational expressions 2 I Multiplying and Dividing Rational Expressions 2 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 145 Play Video |
Multiplying and dividing rational expressions 3 I Multiplying and Dividing Rational Expressions 3 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 146 Play Video |
Adding and Subtracting Rational Expressions 1 U11_L1_T3_we1 Adding and Subtracting Rational Expressions 1 |
Lecture 147 Play Video |
Adding and subtracting rational expressions 2 I Adding and Subtracting Rational Expressions 2 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 148 Play Video |
Adding and subtracting rational expressions 3 I Adding and Subtracting Rational Expressions 3 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 149 Play Video |
Solving rational equations 1 | Polynomial and rational functions I Solving Rational Equations 1 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 150 Play Video |
Solving rational equations 2 | Polynomial and rational functions I Solving Rational Equations 2 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 151 Play Video |
Solving rational equations 3 | Polynomial and rational functions I Solving Rational Equations 3 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 152 Play Video |
Applying rational equations 1 | Polynomial and rational functions I Applying Rational Equations 1 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 153 Play Video |
Applying rational equations 2 | Polynomial and rational functions I Applying Rational Equations 2 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 154 Play Video |
Applying rational equations 3 | Polynomial and rational functions I Applying Rational Equations 3 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rat... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 155 Play Video |
Number sets 1 | Fractions | Pre-Algebra Number Sets 1 Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-a... Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-a... Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub... Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanaca... |
Lecture 156 Play Video |
Number sets 2 | Fractions | Pre-Algebra Number Sets 2 Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-a... Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-a... Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub... Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanaca... |
Lecture 157 Play Video |
Number sets 3 | Fractions | Pre-Algebra Number Sets 3 Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratio... Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-a... Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub... Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanaca... |
Lecture 158 Play Video |
Understanding Logical Statements 1 U12_L1_T2_we1 Understanding Logical Statements 1 |
Lecture 159 Play Video |
Understanding Logical Statements 2 U12_L1_T2_we2 Understanding Logical Statements 2 |
Lecture 160 Play Video |
Understanding Logical Statements 3 U12_L1_T2_we3 Understanding Logical Statements 3 |
Lecture 161 Play Video |
Understanding Logical Statements 4 U12_L1_T2_we4 Understanding Logical Statements 4 |
Lecture 162 Play Video |
Understanding Logical Statements Commentary Understanding Logical Statements Commentary |
Lecture 163 Play Video |
Inductive reasoning 1 | Sequences, series and induction | Precalculus Inductive Reasoning 1 Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/d... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/d... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 164 Play Video |
Inductive reasoning 2 | Sequences, series and induction | Precalculus Inductive Reasoning 2 Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/d... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/d... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 165 Play Video |
Inductive reasoning 3 | Sequences, series and induction | Precalculus Inductive Reasoning 3 Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/d... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/d... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 166 Play Video |
Difference between inductive and deductive reasoning | Precalculus Deductive Reasoning 1 Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/d... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/a... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 167 Play Video |
Deductive reasoning 2 | Sequences, series and induction | Precalculus Deductive Reasoning 2 Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/d... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/d... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 168 Play Video |
Deductive reasoning 3 | Sequences, series and induction | Precalculus Deductive Reasoning 3 Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/d... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/d... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 169 Play Video |
Finding probability example 3 | Probability and combinatorics | Precalculus Now we're working out the probability of randomly selecting a yellow marble from a bag of multi-colored marbles. Let's practice together. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/basic... Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/addit... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/basic... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 170 Play Video |
Events and Outcomes 2 U12_L2_T1_we2 Events and Outcomes 2 |
Lecture 171 Play Video |
Example: Probability through counting outcomes | Precalculus The probability of getting exactly 2 heads when flipping three coins. Thinking about this by visualy depicting all of the outcomes. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/prob_... Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/prob_... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/combi... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 172 Play Video |
Independent or dependent probability event? | Precalculus This time around we're not going to tell you whether we're working on a dependent or independent probability event problem. You tell us! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/depen... Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/depen... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/depen... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 173 Play Video |
Test taking probability and independent events | Precalculus Have you ever taken a test and discovered you have no choice but to guess on a couple of problems? In this example problem, we are considering the probability of two independent events occurring. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/indep... Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/indep... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/indep... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 174 Play Video |
Die rolling probability with independent events | Precalculus We hope you're not a gambler, but if you had to bet on whether you can roll even numbers three times in a row, you might want to figure this probability first. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/indep... Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/depen... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/indep... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 175 Play Video |
Example: Ways to arrange colors | Probability and combinatorics | Precalculus Thinking about how many ways you can pick four colors from a group of 6 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/combi... Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/combi... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/combi... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 176 Play Video |
Example: Ways to pick officers | Probability and combinatorics | Precalculus How many ways can we pick officers for our organization? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/combi... Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/combi... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/combi... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 177 Play Video |
Example: 9 card hands | Probability and combinatorics | Precalculus Thinking about how many ways we can construct a hand of 9 cards Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/combi... Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/prob_... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/combi... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 178 Play Video |
Example: Lottery probability | Probability and combinatorics | Precalculus What is the probability of winning a 4-number lottery? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/prob_... Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/prob_... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/prob_... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 179 Play Video |
Example: Different ways to pick officers | Precalculus Thinking about the different ways we can pick officers in order to find the probability of one situation in particular. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/prob_... Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/prob_... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/prob_... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 180 Play Video |
Example: Combinatorics and probability | Probability and combinatorics | Precalculus Probability of getting a set of cards Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/prob_... Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/prob_... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/prob_... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 181 Play Video |
Absolute value equations | Linear equations Absolute Value Equations Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equa... Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equa... |
Lecture 182 Play Video |
Systems of linear inequalities word problems example I Sal models a real-world context into an algebraic system of linear inequalities and graphs it. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/sy... Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/fa... Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/sy... Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub... |
Lecture 183 Play Video |
U06_L1_T1_we1 Solving Systems by Graphing U06_L1_T1_we1 Solving Systems by Graphing |
Lecture 184 Play Video |
Finding the inequality representing the graph example Learn how to fit an algebraic inequality to its appropriate graph. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-variable-linear... Watch the next lesson: https://www.khanacademy.org/math/algebra/two-variable-linear... Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-variable-linear... |
Lecture 185 Play Video |
U03_L2_T1_we2 Representing Functions as Graphs U03_L2_T1_we2 Representing Functions as Graphs |
Lecture 186 Play Video |
Inductive patterns | Sequences, series and induction | Precalculus Inductive Patterns Watch the next lesson: https://www.khanacademy.org/math/precalculus/hyperbolic_trig... Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/d... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub... |
Lecture 187 Play Video |
Multiplying monomials Learn how to multiply monomials like 5x² * 4x⁶ or 4p³ * p. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-pol... Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-pol... Missed the previous lesson? https://www.khanacademy.org/math/algebra-home/algebra/introd... |
