  # Algebra I Worked Examples with Sal Khan

### Course Description

Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. Not yet rated

### Video Lectures & Study Materials

Visit the official course website for more study materials: https://www.khanacademy.org/math/algebra

# Lecture Play Lecture
1 Example: two-step equation with numerator x | Linear equations | Khan Academ Play Video
2 Example 2: Variables on both sides | Linear equations Play Video
3 Solving equations with the distributive property | Linear equations Play Video
4 A clever application of the distributive property to solve a multi-step equation Play Video
5 Linear systems word problem with substitution | Systems of equations | 8th grade Play Video
6 Challenge example: Sum of integers | Linear equations Play Video
7 Example: Solving for a variable | Linear equations Play Video
8 Solving for F in terms of C | Linear equations Play Video
9 Absolute value smallest to biggest | Pre-Algebra Play Video
10 Absolute value and number lines | Negative numbers and absolute value | Pre-Algebra Play Video
11 Absolute value equations 1 | Linear equations Play Video
12 Absolute value equation example 2 | Linear equations Play Video
13 Patterns in sequences 1 | Linear equations Play Video
14 Patterns in sequences 2 | Linear equations Play Video
15 Equations of sequence patterns | Sequences, series and induction | Precalculus Play Video
16 Finding the 100th term in a sequence | Sequences, series and induction | Precalculus Play Video
17 Recognize functions from tables | Functions and their graphs I Play Video
18 Testing if a relationship is a function | Functions and their graphs I Play Video
19 Domain of modeling functions | Functions and their graphs I Play Video
20 Domain and range 2 | Functions and their graphs I Play Video
21 Direct variation 1 | Rational expressions I Play Video
22 Basic rate problem | Linear equations Play Video
23 Basic Linear Function Play Video
24 Modeling with linear equations example 1 | Linear equations and functions | 8th grade Play Video
25 Recognizing linear functions | Linear equations and functions | 8th grade Play Video
26 Exploring nonlinear relationships Play Video
27 Finding the slope of a line from its graph Play Video
28 Interpreting linear tables word problems example 1 Play Video
29 Finding intercepts from an equation Play Video
30 x- and y-intercepts 2 | Linear equations and functions | 8th grade Play Video
31 Graph from slope-intercept equation example Play Video
32 Equation of a line 2 Play Video
33 Converting linear equations to slope-intercept form | 8th grade Play Video
34 Writing equations in all forms Play Video
35 Parallel Lines Play Video
36 Parallel Lines 2 Play Video
37 Parallel lines 3 Play Video
38 Perpendicular Lines Play Video
39 Perpendicular lines 2 Play Video
40 Constructing and solving a two-step inequality | Linear inequalities Play Video
41 Solving a two-step inequality | Linear inequalities Play Video
42 Constructing and solving a one-step inequality | Linear inequalities Play Video
43 Absolute value inequalities example 1 | Linear equations Play Video
44 Absolute inequalities 2 | Linear equations Play Video
45 Absolute value inequalities example 3 | Linear equations Play Video
46 Writing and using inequalities | Linear inequalities Play Video
47 Constructing and solving a multi-step inequality example Play Video
48 Constructing, solving two-step inequality example | Linear inequalities Play Video
49 Solving and graphing linear inequalities in two variables 1 | Algebra Basics Play Video
50 Graphing linear inequalities in two variables 2 (old and redone in newer video) Play Video
51 Graphing inequalities and checking solutions example Play Video
52 Solving systems by graphing Play Video
53 Analyzing solutions to linear systems graphically 1 Play Video
54 Example 3: Graphically solving systems | Systems of equations | 8th grade Play Video
55 Analyzing solutions to linear systems algebraically Play Video
56 Example 2: Solving systems by substitution | Systems of equations | 8th grade Play Video
57 Example 3: Solving systems by substitution | Systems of equations | 8th grade Play Video
58 Systems of equations word problems example 1 Play Video
59 Example 2: Solving systems by elimination | Systems of equations | 8th grade Play Video
60 Example 3: Solving systems by elimination | Systems of equations | 8th grade Play Video
61 Systems and rate problems Play Video
62 Systems and rate problems 2 Play Video
63 Systems and rate problems 3 Play Video
64 Mixture problems 1 Play Video
65 Mixture problems 2 | Linear equations Play Video
66 Mixture problems 3 | Linear equations Play Video
67 Graphing systems of inequalities Play Video
68 Graphing systems of inequalities and checking solutions example I Play Video
69 Graphing systems of inequalities 3 Play Video
70 Exponent Rules 1 Play Video
71 Exponent Rules 2 Play Video
72 Exponent Rules 3 Play Video
73 Scientific notation 1 Play Video
74 Scientific notation 2 Play Video
75 U.S. national debt (scientific notation word problem) | Pre-Algebra Play Video
76 Simplifying expressions with exponents Play Video
77 Simplifying expressions with exponents 2 Play Video
78 Simplifying expressions with exponents 3 Play Video
79 Pythagorean theorem 1 | Right triangles and trigonometry | Geometry Play Video
80 Pythagorean theorem 2 | Right triangles and trigonometry | Geometry Play Video
81 Pythagorean theorem 3 | Right triangles and trigonometry | Geometry Play Video
82 Simplifying a cube root | Exponents, radicals, and scientific notation | Pre-Algebra Play Video
83 Simplifying Radical Expressions 2 Play Video
84 Simplifying Radical Expressions 3 Play Video
85 Solving radical equations 1 | Exponent expressions and equations Play Video
86 Solving radical equations 2 | Exponent expressions and equations Play Video
87 Solving radical equations 3 | Exponent expressions and equations Play Video
88 Applying radical equations 1 | Exponent expressions and equations Play Video
89 Applying radical equations 2 | Exponent expressions and equations Play Video
90 Applying radical equations 3 | Exponent expressions and equations Play Video
91 Fractional exponent expressions 1 | Exponent expressions and equations Play Video
92 Fractional exponent expressions 2 | Exponent expressions and equations Play Video
93 Fractional exponent expressions 3 | Exponent expressions and equations Play Video
94 Example 2: Multiplying two monomials with two variables Play Video
95 Multiplying and dividing monomials 2 | Rational expressions I Play Video
96 Multiplying and dividing monomials 3 | Rational expressions I Play Video
97 Example 1: Modeling with polynomials Play Video
98 Example 2: Modeling with polynomials Play Video
99 Example 2: Adding polynomials Play Video
100 Adding and subtracting polynomials | Algebra Basics Play Video
101 Example 4: Adding and subtracting polynomials Play Video
102 Multiplying Polynomials1 Play Video
103 Example 3: Modeling with polynomials Play Video
104 Example 3: Multiplying a binomial by a polynomial word problem I Play Video
105 Squaring a binomial | Quadratics and polynomials | Algebra Basics Play Video
106 Example 3: Finding the square of a binomial with two variables Play Video
107 U08_L2_T4_we3 Special Products of Polynomials 3 Play Video
108 Bay Area CBS Station with Salman Khan Play Video
109 Factoring and the Distributive Property Play Video
110 Example 2: Factor a quadratic binomial with two variables by taking a common factor Play Video
111 Example 4: Factor a polynomial with two variables by taking a common factor Play Video
112 Example 7: Factor a polynomial with two variables by grouping Play Video
113 Factoring Trinomials by Grouping 2 Play Video
114 U09_L1_T2_we3 Factoring Trinomials by Grouping 3 Play Video
115 Example 2: Factoring quadratics by grouping Play Video
116 Example 3: Factoring quadratics by taking a common factor and grouping I Play Video
117 Example 4: Factoring quadratics by taking a negative common factor and grouping Play Video
118 Example 3: Factoring quadratics as a perfect square of a sum: (a+b)^2 Play Video
119 Example 5: Factoring a fourth degree polynomial using the "perfect square” form Play Video
120 Example 6: Factoring a difference of squares with two variables I Play Video
121 Solving a quadratic equation by factoring I Play Video
122 Recognizing a perfect square quadratic I Play Video
123 Dimensions from volume of box | Quadratic equations Play Video
124 Quadratic Functions 1 Play Video
125 Parabola vertex and axis of symmetry | Quadratic equations Play Video
126 Graphing a parabola by finding the roots and vertex | Quadratic equations Play Video
127 Example 1: Completing the square | Quadratic equations Play Video
128 Example 2: Completing the square | Quadratic equations Play Video
129 Completing the square for vertex form | Quadratic equations Play Video
130 Completing the square for quadratic formula | Quadratic equations Play Video
131 Example 1: Using the quadratic formula | Quadratic equations Play Video
132 Example 2: Using the quadratic formula | Quadratic equations Play Video
133 Example 3: Using the quadratic formula | Quadratic equations Play Video
134 Applying Quadratic Functions 1 Play Video
135 Applying Quadratic Functions 2 Play Video
136 Applying Quadratic Functions 3 Play Video
137 Non-linear systems of equations 1 I Play Video
138 Non-linear systems of equations 2 I Play Video
139 Non-linear systems of equations 3 I Play Video
140 Simplifying rational expressions 1 | Polynomial and rational functions I Play Video
141 Simplifying rational expressions 2 | Polynomial and rational functions I Play Video
142 Simplifying rational expressions 3 | Polynomial and rational functions I Play Video
143 Multiplying and dividing rational expressions 1 I Play Video
144 Multiplying and dividing rational expressions 2 I Play Video
145 Multiplying and dividing rational expressions 3 I Play Video
146 Adding and Subtracting Rational Expressions 1 Play Video
147 Adding and subtracting rational expressions 2 I Play Video
148 Adding and subtracting rational expressions 3 I Play Video
149 Solving rational equations 1 | Polynomial and rational functions I Play Video
150 Solving rational equations 2 | Polynomial and rational functions I Play Video
151 Solving rational equations 3 | Polynomial and rational functions I Play Video
152 Applying rational equations 1 | Polynomial and rational functions I Play Video
153 Applying rational equations 2 | Polynomial and rational functions I Play Video
154 Applying rational equations 3 | Polynomial and rational functions I Play Video
155 Number sets 1 | Fractions | Pre-Algebra Play Video
156 Number sets 2 | Fractions | Pre-Algebra Play Video
157 Number sets 3 | Fractions | Pre-Algebra Play Video
158 Understanding Logical Statements 1 Play Video
159 Understanding Logical Statements 2 Play Video
160 Understanding Logical Statements 3 Play Video
161 Understanding Logical Statements 4 Play Video
162 Understanding Logical Statements Commentary Play Video
163 Inductive reasoning 1 | Sequences, series and induction | Precalculus Play Video
164 Inductive reasoning 2 | Sequences, series and induction | Precalculus Play Video
165 Inductive reasoning 3 | Sequences, series and induction | Precalculus Play Video
166 Difference between inductive and deductive reasoning | Precalculus Play Video
167 Deductive reasoning 2 | Sequences, series and induction | Precalculus Play Video
168 Deductive reasoning 3 | Sequences, series and induction | Precalculus Play Video
169 Finding probability example 3 | Probability and combinatorics | Precalculus Play Video
170 Events and Outcomes 2 Play Video
171 Example: Probability through counting outcomes | Precalculus Play Video
172 Independent or dependent probability event? | Precalculus Play Video
173 Test taking probability and independent events | Precalculus Play Video
174 Die rolling probability with independent events | Precalculus Play Video
175 Example: Ways to arrange colors | Probability and combinatorics | Precalculus Play Video
176 Example: Ways to pick officers | Probability and combinatorics | Precalculus Play Video
177 Example: 9 card hands | Probability and combinatorics | Precalculus Play Video
178 Example: Lottery probability | Probability and combinatorics | Precalculus Play Video
179 Example: Different ways to pick officers | Precalculus Play Video
180 Example: Combinatorics and probability | Probability and combinatorics | Precalculus Play Video
181 Absolute value equations | Linear equations Play Video
182 Systems of linear inequalities word problems example I Play Video
183 U06_L1_T1_we1 Solving Systems by Graphing Play Video
184 Finding the inequality representing the graph example Play Video
185 U03_L2_T1_we2 Representing Functions as Graphs Play Video
186 Inductive patterns | Sequences, series and induction | Precalculus Play Video
187 Multiplying monomials Play Video