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Course

# Algebra I Worked Examples

180 Worked Algebra I examples (problems written by the Monterey Institute of Technology and Education). You should look at the "Algebra" playlist if you've never seen algebra before or if you want instruction on topics in Algebra II. Use this playlist to see a ton of example problems in every topic in the California Algebra I Standards. If you can do all of these problems on your own, you should probably test out of Algebra I (seriously).

Home > Mathematics > Algebra > Algebra I Worked ExamplesLectures:
• ### Solving Equations 1

00:03:04Salman Khan

U02_L1_T1_we1: Solving Equations 1.

• ### Solving Equations 2

00:04:06Salman Khan

U02_L1_T1_we2: Solving Equations 2.

• ### Solving Equations with the Distributive Property

00:06:04Salman Khan

U02_L1_T2_we1 : Solving Equations with the Distributive Property.

• ### Solving Equations with the Distributive Property 2

00:04:50Salman Khan

U02_L1_T2_we2: Solving equations with the distributive property 2.

• ### Algebraic Word Problem

00:08:02Salman Khan

U02_L1_T3_we1 : Algebraic Word Problem.

• ### Sum of Consecutive Odd Integers

00:04:33Salman Khan

U02_L1_T3_we2 : Sum of Consecutive Odd Integers.

• ### Example of Solving for a Variable

00:06:58Salman Khan

U02_L1_T4_we1 : Example of solving for a variable.

• ### Solving for a Variable 2

00:02:41Salman Khan

U02_L1_T4_we2 : Solving for a Variable 2.

• ### Absolute Value 1

00:03:22Salman Khan

U02_L2_T1_we2 : Absolute Value 1.

• ### Absolute Value and Number Lines

00:05:39Salman Khan

Absolute Value and Number Lines.

• ### Absolute Value Equations 1

00:02:36Salman Khan

U02_L2_T2_we1 : Absolute Value Equations 1.

• ### Absolute Value Equations 2

00:06:32Salman Khan

U02_L2_T2_we2 : Example of solving an absolute value equation.

• ### Patterns in Sequences 1

00:02:32Salman Khan

U03_L1_T1_we1 : Patterns in Sequences 1.

• ### Patterns in Sequences 2

00:04:54Salman Khan

U03_L1_T1_we2 : Patterns in Sequences 2.

• ### Equations of Sequence Patterns

00:08:36Salman Khan

U03_L1_T2_we1 : Equations of Sequence Patterns.

• ### Finding the 100th Term in a Sequence

00:05:57Salman Khan

U03_L1_T2_we2 : Finding the 100th Term in a Sequence.

• ### Functional Relationships 1

00:04:40Salman Khan

U03_L2_T1_we1 : Functional Relationships 1.

• ### Testing if a Relationship is a Function

00:02:23Salman Khan

U03_L2_T1_we2 : Testing if a relationship is a function.

• ### Domain and Range 1

00:03:36Salman Khan

U03_L2_T2_we1 : Domain and Range 1.

• ### Domain and Range 2

00:03:08Salman Khan

U03_L2_T2_we2 : Domain and Range 2.

• ### Direct Variation 1

00:03:39Salman Khan

U03_L2_T3_we1 : Direct Variation 1.

• ### Basic Rate Problem

00:04:08Salman Khan

U03_L2_T3_we2 : Basic Rate Problem.

• ### Basic Linear Function

00:02:42Salman Khan

U03_L2_T4_we1 : Basic Linear Function.

• ### Exploring Linear Relationships

00:04:58Salman Khan

U03_L2_T4_we2 : Exploring linear relationships.

• ### Recognizing Linear Functions

00:04:01Salman Khan

U03_L2_T5_we1 : Recognizing Linear Functions.

• ### Exploring Nonlinear Relationships

00:04:09Salman Khan

U03_L2_T5_we2 : Exploring nonlinear relationships.

• ### Slope of a Line

00:04:40Salman Khan

U04_L1_T1_we1 : Slope of a line.

• ### Slope Example

00:04:03Salman Khan

U04_L1_T1_we2 : Slope Example.

• ### X and Y Intercepts

00:04:08Salman Khan

U04_L1_T2_we1 : X and Y intercepts.

• ### X and Y Intercepts 2

00:03:25Salman Khan

U04_L1_T2_we2 : X and Y intercepts 2.

• ### Graphing a Line in Slope Intercept Form

00:03:01Salman Khan

U04_L1_T3_we1 : Graphing a line in slope intercept form.

• ### Equation of a Line

00:02:37Salman Khan

U04_L1_T3_we2 : Equation of a line.

• ### Converting to Slope Intercept Form

00:05:07Salman Khan

U04_L1_T4_we1 : Converting to slope-intercept form.

• ### Point-slope and Standard Form

00:07:56Salman Khan

U04_L1_T4_we2 : Point-slope and standard form.

• ### Parallel Lines 1

00:03:48Salman Khan

U04_L2_T1_we1 : Parallel Lines.

• ### Parallel Lines 2

00:03:03Salman Khan

U04_L2_T1_we2 : Parallel Lines 2.

• ### Parallel Lines 3

00:02:42Salman Khan

U04_L2_T1_we3 : Parallel lines 3.

• ### Perpendicular Lines 1

00:03:29Salman Khan

U04_L2_T2_we1 : Perpendicular Lines.

• ### Perpendicular Lines 2

00:03:01Salman Khan

U04_L2_T2_we2 : Perpendicular lines 2.

• ### Interpreting Inequalities

00:06:39Salman Khan

U05_L1_T1_we1 : Interpreting Inequalities.

• ### Solving Inequalities

00:04:32Salman Khan

U05_L1_T1_we2 : Solving Inequalities.

• ### Inequalities

00:02:09Salman Khan

U05_L1_T1_we3 : Inequalities.

• ### Absolute Value Inequalities

00:03:27Salman Khan

U05_L1_T2_we1 : Absolute value inequalities.

• ### Absolute Inequalites 2

00:07:30Salman Khan

U05_L1_T2_we2 : Absolute Inequalities 2.

• ### Absolute Value Inequalities 3

00:02:35Salman Khan

U05_L1_T2_we3 : Absolute value inequalities 3.

• ### Writing and Using Inequalities 1

00:04:38Salman Khan

U05_L1_T3_we1 : Writing and using inequalities.

• ### Writing and Using Inequalities 2

00:06:40Salman Khan

U05_L1_T3_we2 : Writing and using inequalities 2.

• ### Writing and Using Inequalities 3

00:02:01Salman Khan

U05_L1_T3_we3 : Writing and using inequalities 3.

• ### Solving and Graphing Linear Inequalities in Two Variables

00:02:15Salman Khan

U05_L2_T1_we1 : Solving and graphing linear inequalities in two variables.

• ### Graphing Linear Inequalities in Two Variables 1

00:02:42Salman Khan

U05_L2_T1_we2 : Graphing linear inequalities in two variables.

• ### Graphing Linear Inequalities in Two Variables 2

00:03:20Salman Khan

U05_L2_T1_we3 : Graphing linear inequalities in two variables.

• ### Solving Systems By Graphing 1

00:05:54Salman Khan

U06_L1_T1_we1 Solving systems by graphing.

• ### Solving Systems By Graphing 2

00:03:26Salman Khan

U06_L1_T1_we2 Solving systems by graphing 2.

• ### Solving Systems By Graphing 3

00:05:08Salman Khan

U06_L1_T1_we3 Solving systems by graphing 3.

• ### Solving Systems By Substitution 1

00:03:44Salman Khan

U06_L1_T2_we1 Solving systems by substitution 1.

• ### Solving Systems By Substitution 2

00:04:06Salman Khan

U06_L1_T1_we2 Solving systems by substitution 2.

• ### Solving Systems By Substitution 3

00:06:04Salman Khan

U06_L1_T2_we3 Solving systems by substitution 3.

• ### Solving Systems By Elimination 1

00:05:51Salman Khan

U06_L1_T3_we1 Solving systems by elimination.

• ### Solving Systems By Elimination 2

00:03:45Salman Khan

U06_L1_T3_we2 Solving systems by elimination 2.

• ### Solving Systems By Elimination 3

00:04:57Salman Khan

U06_L1_T3_we3 Solving systems by elimination 3.

• ### Systems and Rate Problems 1

00:05:59Salman Khan

U06_L2_T1_we1 Systems and rate problems.

• ### Systems and Rate Problems 2

00:10:04Salman Khan

U06_L2_T1_we2 Systems and rate problems 2.

• ### Systems and Rate Problems 3

00:04:56Salman Khan

U06_L2_T1_we3 Systems and rate problems 3.

• ### Mixture Problems 1

00:02:45Salman Khan

U06_L2_T2_we1 Mixture problems 1.

• ### Mixture Problems 2

00:06:43Salman Khan

U06_L2_T2_we2 Mixture problems 2.

• ### Mixture Problems 3

00:04:07Salman Khan

U06_L2_T2_we3 Mixture problems 3.

• ### Graphing Systems of Inequalities 1

00:04:56Salman Khan

U06_L3_T1_we1 Graphing systems of inequalities.

• ### Graphing Systems of Inequalities 2

00:03:24Salman Khan

U06_L3_T1_we2 Graphing systems of inequalities 2.

• ### Graphing Systems of Inequalities 3

00:07:36Salman Khan

U06_L3_T1_we3 Graphing systems of inequalities 3.

• ### Exponent Rules 1

00:02:29Salman Khan

U07_L1_T1_we1 Exponent Rules 1.

• ### Exponent Rules 2

00:03:58Salman Khan

U07_L1_T1_we2 Exponent Rules 2.

• ### Exponent Rules 3

00:04:53Salman Khan

U07_L1_T1_we3 Exponent Rules 3.

• ### Scientific Notation 1

00:05:33Salman Khan

U07_L1_T2_we1 Scientific notation 1.

• ### Scientific Notation 2

00:03:59Salman Khan

U07_L1_T2_we2 Scientific notation 2.

• ### Scientific Notation 3

00:06:21Salman Khan

U07_L1_T2_we3 Scientific notation 3.

• ### Simplifying Expressions with Exponents 1

00:02:10Salman Khan

U07_L1_T3_we1 Simplifying Expressions with Exponents.

• ### Simplifying Expressions with Exponents 2

00:03:35Salman Khan

U07_L1_T3_we2 Simplifying Expressions with Exponents 2.

• ### Simplifying Expressions with Exponents 3

00:02:31Salman Khan

U07_L1_T3_we3 Simplifying Expressions with Exponents 3.

• ### Pythagorean Theorem 1

00:04:32Salman Khan

U07_L2_T1_we1 Pythagorean Theorem 1.

• ### Pythagorean Theorem 2

00:04:17Salman Khan

U07_L2_T1_we2 Pythagorean Theorem 2.

• ### Simplifying Radical Expressions 1

00:03:25Salman Khan

• ### Simplifying Radical Expressions 2

00:02:49Salman Khan

• ### Simplifying Radical Expressions 3

00:03:09Salman Khan

• ### Solving Radical Expressions 1

00:02:15Salman Khan

• ### Solving Radical Expressions 2

00:03:34Salman Khan

• ### Solving Radical Expressions 3

00:04:22Salman Khan

• ### Applying Radical Equations 1

00:05:24Salman Khan

• ### Applying Radical Equations 2

00:06:55Salman Khan

• ### Applying Radical Equations 3

00:03:19Salman Khan

• ### Fractional Exponent Expressions 1

00:02:02Salman Khan

U07_L3_T4_we1 Fractional Exponent Expressions 1.

• ### Fractional Exponent Expressions 2

00:07:31Salman Khan

U07_L3_T4_we2 Fractional Exponent Expressions 2.

• ### Multiplying and Dividing Monomials 1

00:01:52Salman Khan

U08_L1_T1_we1 Multiplying and Dividing Monomials 1.

• ### Multiplying and Dividing Monomials 2

00:04:05Salman Khan

U08_L1_T1_we2 Multiplying and Dividing Monomials 2.

• ### Multiplying and Dividing Monomials 3

00:02:23Salman Khan

U08_L1_T1_we3 Multiplying and Dividing Monomials 3.

• ### Polynomials 1

00:03:10Salman Khan

U08_L2_T1_we1 Polynomials 1.

• ### Polynomials 2

00:01:24Salman Khan

U08_L2_T1_we2 Polynomials 2.

• ### Adding and Subtracting 1

00:02:01Salman Khan

U08_L2_T2_we1 Adding and Subtracting Polynomials 1.

• ### Adding and Subtracting 2

00:01:44Salman Khan

U08_L2_T2_we2 Adding and Subtracting Polynomials 2.

• ### Adding and Subtracting 3

00:02:27Salman Khan

U08_L2_T2_we3 Adding and Subtracting Polynomials 3.

• ### Multiplying Polynomials 1

00:05:28Salman Khan

U08_L2_T3_we1 Multiplying Polynomials 1.

• ### Multiplying Polynomials 2

00:04:48Salman Khan

U08_L2_T3_we2 Multiplying Polynomials 2.

• ### Multiplying Polynomials 3

00:04:19Salman Khan

U08_L2_T3_we3 Multiplying Polynomials 3.

• ### Special Products of Polynomials 1

00:03:19Salman Khan

U08_L2_T4_we1 Special Products of Polynomials 1.

• ### Special Products of Polynomials 2

00:02:41Salman Khan

U08_L2_T4_we2 Special Products of Polynomials 2.

• ### Special Products of Polynomials 3

00:02:34Salman Khan

U08_L2_T4_we3 Special Products of Polynomials 3.

• ### Bay Area CBS Station with Slaman Khan

00:02:06Salman Khan

Bay Area CBS Station with Salman Khan.

• ### Factoring and the Distributive Property 1

00:03:05Salman Khan

U09_L1_T1_we1 Factoring and the Distributive Property.

• ### Factoring and the Distributive Property 2

00:04:46Salman Khan

U09_L1_T1_we2 Factoring and the Distributive Property 2.

• ### Factoring and the Distributive Property 3

00:05:54Salman Khan

U09_L1_T1_we3 Factoring and the Distributive Property 3.

• ### Factoring Trinomials By Grouping 1

00:03:46Salman Khan

U09_L1_T2_we1 Factoring Trinomials by Grouping 1.

• ### Factoring Trinomials By Grouping 2

00:05:07Salman Khan

U09_L1_T2_we2 Factoring Trinomials by Grouping 2.

• ### Factoring Trinomials By Grouping 3

00:03:11Salman Khan

U09_L1_T2_we3 Factoring Trinomials by Grouping 3.

• ### Factoring Trinomials By Grouping 4

00:03:55Salman Khan

U09_L1_T3_we1 Factoring Trinomials by Grouping 4.

• ### Factoring Trinomials By Grouping 5

00:04:46Salman Khan

U09_L1_T3_we2 Factoring Trinomials by Grouping 5.

• ### Factoring Trinomials by Grouping 6

00:05:17Salman Khan

U09_L1_T3_we3 Factoring Trinomials by Grouping 6.

• ### Factoring Special Products 1

00:03:52Salman Khan

U09_L2_T1_we1 Factoring Special Products 1.

• ### Factoring Special Products 2

00:02:25Salman Khan

U09_L2_T1_we2 Factoring Special Products 2.

• ### Factoring Special Products 3

00:02:30Salman Khan

U09_L2_T1_we3 Factoring Special Products 3.

• ### Solving Quadratic Equations By Factoring 1

00:06:22Salman Khan

U09_L2_T2_we1 Solving Quadratic Equations by Factoring.

• ### Solving Quadratic Equations By Factoring 2

00:03:19Salman Khan

U09_L2_T2_we2 Solving Quadratic Equations by Factoring 2.

• ### Solving Quadratic Equations By Factoring 3

00:05:54Salman Khan

U09_L2_T2_we3 Solving Quadratic Equations by Factoring 3.

00:04:04Salman Khan

00:07:22Salman Khan

00:06:24Salman Khan

• ### Completing the Square 1

00:03:22Salman Khan

U10_L1_T2_we1 Completing the Square 1.

• ### Completing the Square 2

00:05:24Salman Khan

U10_L1_T2_we2 Completing the Square 2.

• ### Completing the Square 3

00:06:14Salman Khan

U10_L1_T2_we3 Completing the Square 3.

• ### Completing the Square 4

00:09:31Salman Khan

U10_L1_T2_we4 Completing the Square 4.

00:05:34Salman Khan

00:06:40Salman Khan

00:04:59Salman Khan

• ### Applying Quadratic Functions 1

00:04:39Salman Khan

• ### Applying Quadratic Functions 2

00:09:43Salman Khan

• ### Applying Quadratic Functions 3

00:09:53Salman Khan

• ### Non-Linear Systems of Equations 1

00:05:44Salman Khan

U10_L2_T2_we1 Non-Linear Systems of Equations 1.

• ### Non-Linear Systems of Equations 2

00:08:21Salman Khan

U10_L2_T2_we2 Non-Linear Systems of Equations 2.

• ### Non-Linear Systems of Equations 3

00:06:56Salman Khan

U10_L2_T2_we3 Non-Linear Systems of Equations 3.

• ### Simplifying Rational Expressions 1

00:03:39Salman Khan

U11_L1_T1_we1 Simplifying Rational Expressions 1.

• ### Simplifying Rational Expressions 2

00:06:42Salman Khan

U11_L1_T1_we2 Simplifying Rational Expressions 2.

• ### Simplifying Rational Expressions 3

00:03:53Salman Khan

U11_L1_T1_we3 Simplifying Rational Expressions 3.

• ### Multiplying and Dividing Rational Expressions 1

00:03:38Salman Khan

U11_L1_T2_we1 Multiplying and Dividing Rational Expressions 1.

• ### Multiplying and Dividing Rational Expressions 2

00:04:52Salman Khan

U11_L1_T2_we2 Multiplying and Dividing Rational Expressions 2.

• ### Multiplying and Dividing Rational Expressions 3

00:04:10Salman Khan

U11_L1_T2_we3 Multiplying and Dividing Rational Expressions 3.

• ### Adding and Subtracting Rational Expressions 1

00:03:07Salman Khan

U11_L1_T3_we1 Adding and Subtracting Rational Expressions 1.

• ### Adding and Subtracting Rational Expressions 2

00:02:56Salman Khan

U11_L1_T3_we2 Adding and Subtracting Rational Expressions 2.

• ### Adding and Subtracting Rational Expressions 3

00:04:36Salman Khan

U11_L1_T3_we3 Adding and Subtracting Rational Expressions 3.

• ### Solving Rational Equations 1

00:04:12Salman Khan

U11_L2_T1_we1 Solving Rational Equations 1.

• ### Solving Rational Equations 2

00:04:08Salman Khan

U11_L2_T1_we2 Solving Rational Equations 2.

• ### Solving Rational Equations 3

00:04:32Salman Khan

U11_L2_T1_we3 Solving Rational Equations 3.

• ### Applying Rational Equations 1

00:04:22Salman Khan

U11_L2_T2_we1 Applying Rational Equations 1.

• ### Applying Rational Equations 1 Extra

00:04:27Salman Khan

U11_L2_T2_we1 Applying Rational Equations 1 extra commentary.

• ### Applying Rational Equations 2

00:06:00Salman Khan

U11_L2_T2_we2 Applying Rational Equations 2.

• ### Applying Rational Equations 3

00:07:59Salman Khan

U11_L2_T2_we3 Applying Rational Equations 3.

• ### Number Sets 1

00:06:06Salman Khan

U12_L1_T1_we1 Number Sets 1.

• ### Number Sets 2

00:06:52Salman Khan

U12_L1_T1_we2 Number Sets 2.

• ### Number Sets 3

00:02:52Salman Khan

U12_L1_T1_we3 Number Sets 3.

• ### Understanding Logical Statements 1

00:03:53Salman Khan

U12_L1_T2_we1 Understanding Logical Statements 1.

• ### Understanding Logical Statements 2

00:06:43Salman Khan

U12_L1_T2_we2 Understanding Logical Statements 2.

• ### Understanding Logical Statements 3

00:03:12Salman Khan

U12_L1_T2_we3 Understanding Logical Statements 3.

• ### Understanding Logical Statements 4

00:01:49Salman Khan

U12_L1_T2_we4 Understanding Logical Statements 4.

• ### Understanding Logical Statements 5

00:03:29Salman Khan

Understanding Logical Statements Commentary 5.

• ### Inductive Reasoning 1

00:02:07Salman Khan

U12_L1_T3_we1 Inductive Reasoning 1.

• ### Inductive Reasoning 2

00:02:21Salman Khan

U12_L1_T3_we2 Inductive Reasoning 2.

• ### Inductive Reasoning 3

00:03:03Salman Khan

U12_L1_T3_we3 Inductive Reasoning 3.

• ### Deductive Reasoning 1

00:02:00Salman Khan

U12_L1_T4_we1 Deductive Reasoning 1.

• ### Deductive Reasoning 2

00:03:57Salman Khan

U12_L1_T4_we2 Deductive Reasoning 2.

• ### Deductive Reasoning 3

00:04:11Salman Khan

U12_L1_T4_we3 Deductive Reasoning 3.

• ### Events and Outcomes 1

00:02:11Salman Khan

U12_L2_T1_we1 Events and Outcomes 1.

• ### Events and Outcomes 2

00:04:43Salman Khan

U12_L2_T1_we2 Events and Outcomes 2.

• ### Events and Outcomes 3

00:02:09Salman Khan

U12_L2_T1_we3 Events and Outcomes 3.

• ### Independent Events 1

00:02:39Salman Khan

U12_L2_T2_we1 Independent Events 1.

• ### Independent Events 2

00:04:44Salman Khan

U12_L2_T2_we2 Independent Events 2.

• ### Independent Events 3

00:02:28Salman Khan

U12_L2_T2_we3 Independent Events 3.

• ### Permutations and Combinations 1

00:03:45Salman Khan

U12_L2_T3_we1 Permutations and Combinations 1.

• ### Permutations and Combinations 2

00:02:19Salman Khan

U12_L2_T3_we2 Permutations and Combinations 2.

• ### Permutations and Combinations 3

00:07:42Salman Khan

U12_L2_T3_we3 Permutations and Combinations 3.

• ### Permutations and Combinations 4

00:05:10Salman Khan

U12_L2_T4_we1 Permutations and Combinations 4.

• ### Probability of Dependent Events 1

00:02:23Salman Khan

U12_L2_T4_we2 Probability of Dependent Events.

• ### Probability of Dependent Events 2

00:10:51Salman Khan

U12_L2_T4_we3 Probability of Dependent Events 2.

• ### Absolute Value Equations

00:01:47Salman Khan

U02_L2_T2_we1 Absolute Value Equations.

• ### Graphing Systems of Inequalities

00:09:45Salman Khan

U06_L3_T1_we3 Graphing Systems of Inequalities.

• ### Solving Systems By Graphing

00:03:01Salman Khan

U06_L1_T1_we1 Solving Systems by Graphing.

• ### Graphing Linear Inequalities in Two Variables

00:03:03Salman Khan

U05_L2_T1_WE2 Graphing Linear Inequalities in Two Variables.

• ### Representing Functions as Graphs

00:03:19Salman Khan

U03_L2_T1_we2 Representing Functions as Graphs.

• ### Inductive Patterns

00:06:34Salman Khan

U03_L1_T1_we2 Inductive Patterns.