# Algebra I Worked Examples with Sal Khan

## Video Lectures

Displaying all 187 video lectures.

Lecture 1Play Video |
Example: two-step equation with numerator x | Linear equations | Khan AcademSolve 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 2Play Video |
Example 2: Variables on both sides | Linear equationsSolving 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 3Play Video |
Solving equations with the distributive property | Linear equationsSolving 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 4Play Video |
A clever application of the distributive property to solve a multi-step equationSal 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 5Play Video |
Linear systems word problem with substitution | Systems of equations | 8th gradeAlgebraic 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 6Play Video |
Challenge example: Sum of integers | Linear equationsSum 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 7Play Video |
Example: Solving for a variable | Linear equationsExample 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 8Play Video |
Solving for F in terms of C | Linear equationsSolving 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 9Play Video |
Absolute value smallest to biggest | Pre-AlgebraNot 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 10Play Video |
Absolute value and number lines | Negative numbers and absolute value | Pre-AlgebraOne 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 11Play Video |
Absolute value equations 1 | Linear equationsAbsolute 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 12Play Video |
Absolute value equation example 2 | Linear equationsExample 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 13Play Video |
Patterns in sequences 1 | Linear equationsPatterns 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 14Play Video |
Patterns in sequences 2 | Linear equationsPatterns 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 15Play Video |
Equations of sequence patterns | Sequences, series and induction | PrecalculusEquations 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 16Play Video |
Finding the 100th term in a sequence | Sequences, series and induction | PrecalculusFinding 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 17Play Video |
Recognize functions from tables | Functions and their graphs IFunctional 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 18Play Video |
Testing if a relationship is a function | Functions and their graphs ITesting 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 19Play Video |
Domain of modeling functions | Functions and their graphs IDomain 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 20Play Video |
Domain and range 2 | Functions and their graphs IDomain 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 21Play Video |
Direct variation 1 | Rational expressions IDirect 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 22Play Video |
Basic rate problem | Linear equationsBasic 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 23Play Video |
Basic Linear FunctionU03_L2_T4_we1 : Basic Linear Function Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |

Lecture 24Play Video |
Modeling with linear equations example 1 | Linear equations and functions | 8th gradeExploring 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 25Play Video |
Recognizing linear functions | Linear equations and functions | 8th gradeRecognizing 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 26Play Video |
Exploring nonlinear relationshipsU03_L2_T5_we2 : Exploring nonlinear relationships |

Lecture 27Play Video |
Finding the slope of a line from its graphSlope 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 28Play Video |
Interpreting linear tables word problems example 1Slope 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 29Play Video |
Finding intercepts from an equationX 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 30Play Video |
x- and y-intercepts 2 | Linear equations and functions | 8th gradeX 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 31Play Video |
Graph from slope-intercept equation exampleGraphing 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 32Play Video |
Equation of a line 2U04_L1_T3_we2 : Equation of a line |

Lecture 33Play Video |
Converting linear equations to slope-intercept form | 8th gradeConverting 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 34Play Video |
Writing equations in all formsPoint-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 35Play Video |
Parallel LinesU04_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 36Play Video |
Parallel Lines 2U04_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 37Play Video |
Parallel lines 3U04_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 38Play Video |
Perpendicular LinesU04_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 39Play Video |
Perpendicular lines 2U04_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 40Play Video |
Constructing and solving a two-step inequality | Linear inequalitiesWe'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 41Play Video |
Solving a two-step inequality | Linear inequalitiesWe'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 42Play Video |
Constructing and solving a one-step inequality | Linear inequalitiesInequalities 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 43Play Video |
Absolute value inequalities example 1 | Linear equationsAbsolute 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 44Play Video |
Absolute inequalities 2 | Linear equationsAbsolute 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 45Play Video |
Absolute value inequalities example 3 | Linear equationsAbsolute 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 46Play Video |
Writing and using inequalities | Linear inequalitiesWriting 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 47Play Video |
Constructing and solving a multi-step inequality exampleLearn 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 48Play Video |
Constructing, solving two-step inequality example | Linear inequalitiesLet'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 49Play Video |
Solving and graphing linear inequalities in two variables 1 | Algebra BasicsSolving 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 50Play 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 51Play Video |
Graphing inequalities and checking solutions exampleLearn 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 52Play Video |
Solving systems by graphingU06_L1_T1_we1 Solving systems by graphing |

Lecture 53Play Video |
Analyzing solutions to linear systems graphically 1Practice 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 54Play Video |
Example 3: Graphically solving systems | Systems of equations | 8th gradeSolving 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 55Play Video |
Analyzing solutions to linear systems algebraicallyPractice 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 56Play Video |
Example 2: Solving systems by substitution | Systems of equations | 8th gradeSolving 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 57Play Video |
Example 3: Solving systems by substitution | Systems of equations | 8th gradeSolving 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 58Play Video |
Systems of equations word problems example 1Practice 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 59Play Video |
Example 2: Solving systems by elimination | Systems of equations | 8th gradeSolving 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 60Play Video |
Example 3: Solving systems by elimination | Systems of equations | 8th gradeSolving 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 61Play Video |
Systems and rate problemsU06_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 62Play Video |
Systems and rate problems 2U06_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 63Play Video |
Systems and rate problems 3U06_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 64Play Video |
Mixture problems 1U06_L2_T2_we1 Mixture problems 1 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |

Lecture 65Play Video |
Mixture problems 2 | Linear equationsMixture 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 66Play Video |
Mixture problems 3 | Linear equationsMixture 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 67Play Video |
Graphing systems of inequalitiesU06_L3_T1_we1 Graphing systems of inequalities |

Lecture 68Play Video |
Graphing systems of inequalities and checking solutions example ILearn 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 69Play Video |
Graphing systems of inequalities 3U06_L3_T1_we3 Graphing systems of inequalities 3 |

Lecture 70Play Video |
Exponent Rules 1U07_L1_T1_we1 Exponent Rules 1 |

Lecture 71Play Video |
Exponent Rules 2U07_L1_T1_we2 Exponent Rules 2 |

Lecture 72Play Video |
Exponent Rules 3U07_L1_T1_we3 Exponent Rules 3 |

Lecture 73Play Video |
Scientific notation 1U07_L1_T2_we1 Scientific notation 1 |

Lecture 74Play Video |
Scientific notation 2U07_L1_T2_we2 Scientific notation 2 |

Lecture 75Play Video |
U.S. national debt (scientific notation word problem) | Pre-AlgebraEver 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 76Play Video |
Simplifying expressions with exponentsSimplifying 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 77Play Video |
Simplifying expressions with exponents 2Simplifying 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 78Play Video |
Simplifying expressions with exponents 3Simplifying 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 79Play Video |
Pythagorean theorem 1 | Right triangles and trigonometry | GeometryPythagorean 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 80Play Video |
Pythagorean theorem 2 | Right triangles and trigonometry | GeometryPythagorean 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 81Play Video |
Pythagorean theorem 3 | Right triangles and trigonometry | GeometryPythagorean 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 82Play Video |
Simplifying a cube root | Exponents, radicals, and scientific notation | Pre-AlgebraPractice 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 83Play Video |
Simplifying Radical Expressions 2U07_L3_T1_we2 Simplifying Radical Expressions 2 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |

Lecture 84Play Video |
Simplifying Radical Expressions 3U07_L3_T1_we3 Simplifying Radical Expressions 3 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |

Lecture 85Play Video |
Solving radical equations 1 | Exponent expressions and equationsSolving 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 86Play Video |
Solving radical equations 2 | Exponent expressions and equationsSolving 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 87Play Video |
Solving radical equations 3 | Exponent expressions and equationsSolving 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 88Play Video |
Applying radical equations 1 | Exponent expressions and equationsApplying 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 89Play Video |
Applying radical equations 2 | Exponent expressions and equationsApplying 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 90Play Video |
Applying radical equations 3 | Exponent expressions and equationsApplying 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 91Play Video |
Fractional exponent expressions 1 | Exponent expressions and equationsFractional 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 92Play Video |
Fractional exponent expressions 2 | Exponent expressions and equationsFractional 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 93Play Video |
Fractional exponent expressions 3 | Exponent expressions and equationsFractional 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 94Play Video |
Example 2: Multiplying two monomials with two variablesExpress 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 95Play Video |
Multiplying and dividing monomials 2 | Rational expressions IMultiplying 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 96Play Video |
Multiplying and dividing monomials 3 | Rational expressions IMultiplying 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 97Play Video |
Example 1: Modeling with polynomialsWrite 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 98Play Video |
Example 2: Modeling with polynomialsWrite 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 99Play Video |
Example 2: Adding polynomialsSimplify (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 100Play Video |
Adding and subtracting polynomials | Algebra BasicsAdd (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 101Play Video |
Example 4: Adding and subtracting polynomialsSimplify (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 102Play Video |
Multiplying Polynomials1U08_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 103Play Video |
Example 3: Modeling with polynomialsWrite 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 104Play Video |
Example 3: Multiplying a binomial by a polynomial word problem IFind 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 105Play Video |
Squaring a binomial | Quadratics and polynomials | Algebra BasicsSquaring 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 106Play Video |
Example 3: Finding the square of a binomial with two variablesFind 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 107Play Video |
U08_L2_T4_we3 Special Products of Polynomials 3U08_L2_T4_we3 Special Products of Polynomials 3 |

Lecture 108Play Video |
Bay Area CBS Station with Salman KhanBay Area CBS Station with Salman Khan Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |

Lecture 109Play Video |
Factoring and the Distributive PropertyU09_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 110Play Video |
Example 2: Factor a quadratic binomial with two variables by taking a common factorFactor 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 111Play Video |
Example 4: Factor a polynomial with two variables by taking a common factorFactor 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 112Play Video |
Example 7: Factor a polynomial with two variables by groupingU09_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 113Play Video |
Factoring Trinomials by Grouping 2U09_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 114Play Video |
U09_L1_T2_we3 Factoring Trinomials by Grouping 3U09_L1_T2_we3 Factoring Trinomials by Grouping 3 More free lessons at: http://www.khanacademy.org/video?v=fVIZmOQBS5M |

Lecture 115Play Video |
Example 2: Factoring quadratics by groupingFactor 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 116Play Video |
Example 3: Factoring quadratics by taking a common factor and grouping IFactor 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 117Play Video |
Example 4: Factoring quadratics by taking a negative common factor and groupingFactor -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 118Play Video |
Example 3: Factoring quadratics as a perfect square of a sum: (a+b)^2Factor -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 119Play Video |
Example 5: Factoring a fourth degree polynomial using the "perfect square” formFactor 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 120Play Video |
Example 6: Factoring a difference of squares with two variables IFactor 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 121Play Video |
Solving a quadratic equation by factoring IPractice 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 122Play Video |
Recognizing a perfect square quadratic IPractice 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 123Play Video |
Dimensions from volume of box | Quadratic equationsSolving 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 124Play Video |
Quadratic Functions 1U10_L1_T1_we1 Quadratic Functions 1 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |

Lecture 125Play Video |
Parabola vertex and axis of symmetry | Quadratic equationsParabola 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 126Play Video |
Graphing a parabola by finding the roots and vertex | Quadratic equationsGraphing 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 127Play Video |
Example 1: Completing the square | Quadratic equationsCompleting 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 128Play Video |
Example 2: Completing the square | Quadratic equationsCompleting 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 129Play Video |
Completing the square for vertex form | Quadratic equationsCompleting 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 130Play Video |
Completing the square for quadratic formula | Quadratic equationsCompleting 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 131Play Video |
Example 1: Using the quadratic formula | Quadratic equationsQuadratic 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 132Play Video |
Example 2: Using the quadratic formula | Quadratic equationsQuadratic 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 133Play Video |
Example 3: Using the quadratic formula | Quadratic equationsQuadratic 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 134Play Video |
Applying Quadratic Functions 1U10_L2_T1_we1 Applying Quadratic Functions 1 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |

Lecture 135Play Video |
Applying Quadratic Functions 2U10_L2_T1_we2 Applying Quadratic Functions 2 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |

Lecture 136Play Video |
Applying Quadratic Functions 3U10_L2_T1_we3 Applying Quadratic Functions 3 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education |

Lecture 137Play Video |
Non-linear systems of equations 1 INon-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 138Play Video |
Non-linear systems of equations 2 INon-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 139Play Video |
Non-linear systems of equations 3 INon-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 140Play Video |
Simplifying rational expressions 1 | Polynomial and rational functions ISimplifying 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 141Play Video |
Simplifying rational expressions 2 | Polynomial and rational functions ISimplifying 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 142Play Video |
Simplifying rational expressions 3 | Polynomial and rational functions ISimplifying 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 143Play Video |
Multiplying and dividing rational expressions 1 IMultiplying 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 144Play Video |
Multiplying and dividing rational expressions 2 IMultiplying 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 145Play Video |
Multiplying and dividing rational expressions 3 IMultiplying 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 146Play Video |
Adding and Subtracting Rational Expressions 1U11_L1_T3_we1 Adding and Subtracting Rational Expressions 1 |

Lecture 147Play Video |
Adding and subtracting rational expressions 2 IAdding 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 148Play Video |
Adding and subtracting rational expressions 3 IAdding 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 149Play Video |
Solving rational equations 1 | Polynomial and rational functions ISolving 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 150Play Video |
Solving rational equations 2 | Polynomial and rational functions ISolving 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 151Play Video |
Solving rational equations 3 | Polynomial and rational functions ISolving 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 152Play Video |
Applying rational equations 1 | Polynomial and rational functions IApplying 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 153Play Video |
Applying rational equations 2 | Polynomial and rational functions IApplying 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 154Play Video |
Applying rational equations 3 | Polynomial and rational functions IApplying 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 155Play Video |
Number sets 1 | Fractions | Pre-AlgebraNumber 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 156Play Video |
Number sets 2 | Fractions | Pre-AlgebraNumber 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 157Play Video |
Number sets 3 | Fractions | Pre-AlgebraNumber 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 158Play Video |
Understanding Logical Statements 1U12_L1_T2_we1 Understanding Logical Statements 1 |

Lecture 159Play Video |
Understanding Logical Statements 2U12_L1_T2_we2 Understanding Logical Statements 2 |

Lecture 160Play Video |
Understanding Logical Statements 3U12_L1_T2_we3 Understanding Logical Statements 3 |

Lecture 161Play Video |
Understanding Logical Statements 4U12_L1_T2_we4 Understanding Logical Statements 4 |

Lecture 162Play Video |
Understanding Logical Statements CommentaryUnderstanding Logical Statements Commentary |

Lecture 163Play Video |
Inductive reasoning 1 | Sequences, series and induction | PrecalculusInductive 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 164Play Video |
Inductive reasoning 2 | Sequences, series and induction | PrecalculusInductive 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 165Play Video |
Inductive reasoning 3 | Sequences, series and induction | PrecalculusInductive 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 166Play Video |
Difference between inductive and deductive reasoning | PrecalculusDeductive 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 167Play Video |
Deductive reasoning 2 | Sequences, series and induction | PrecalculusDeductive 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 168Play Video |
Deductive reasoning 3 | Sequences, series and induction | PrecalculusDeductive 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 169Play Video |
Finding probability example 3 | Probability and combinatorics | PrecalculusNow 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 170Play Video |
Events and Outcomes 2U12_L2_T1_we2 Events and Outcomes 2 |

Lecture 171Play Video |
Example: Probability through counting outcomes | PrecalculusThe 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 172Play Video |
Independent or dependent probability event? | PrecalculusThis 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 173Play Video |
Test taking probability and independent events | PrecalculusHave 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 174Play Video |
Die rolling probability with independent events | PrecalculusWe 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 175Play Video |
Example: Ways to arrange colors | Probability and combinatorics | PrecalculusThinking 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 176Play Video |
Example: Ways to pick officers | Probability and combinatorics | PrecalculusHow 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 177Play Video |
Example: 9 card hands | Probability and combinatorics | PrecalculusThinking 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 178Play Video |
Example: Lottery probability | Probability and combinatorics | PrecalculusWhat 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 179Play Video |
Example: Different ways to pick officers | PrecalculusThinking 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 180Play Video |
Example: Combinatorics and probability | Probability and combinatorics | PrecalculusProbability 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 181Play Video |
Absolute value equations | Linear equationsAbsolute 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 182Play Video |
Systems of linear inequalities word problems example ISal 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 183Play Video |
U06_L1_T1_we1 Solving Systems by GraphingU06_L1_T1_we1 Solving Systems by Graphing |

Lecture 184Play Video |
Finding the inequality representing the graph exampleLearn 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 185Play Video |
U03_L2_T1_we2 Representing Functions as GraphsU03_L2_T1_we2 Representing Functions as Graphs |

Lecture 186Play Video |
Inductive patterns | Sequences, series and induction | PrecalculusInductive 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 187Play Video |
Multiplying monomialsLearn 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... |