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Math 105: Precalculus Algebra

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Course Summary

Math 105: Precalculus Algebra has been evaluated and recommended for up to 4 semester hours and may be transferred to over 2,000 colleges and universities. This self-paced math course helps you review math concepts and practice solving precalculus algebra problems. Complete the course to get a head start on your degree!
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14 chapters in Math 105: Precalculus Algebra

Week {{::cp.getGoalWeekForTopic(0, 14)}}
Ch 1. Mathematical Modeling {{cp.topicAssetIdToProgress[13790].percentComplete}}% complete
Week {{::cp.getGoalWeekForTopic(1, 14)}}
Course Progress Best Score
Lesson 1 - What is a Linear Equation? Score: {{cp.lessonAssetIdToProgress[553].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[553].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Linear Equations: Intercepts, Standard Form and Graphing Score: {{cp.lessonAssetIdToProgress[554].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[554].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Abstract Algebraic Examples and Going from a Graph to a Rule Score: {{cp.lessonAssetIdToProgress[555].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[555].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Graphing Undefined Slope, Zero Slope and More Score: {{cp.lessonAssetIdToProgress[556].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[556].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - How to Write a Linear Equation Score: {{cp.lessonAssetIdToProgress[557].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[557].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Equation of a Line Using Point-Slope Formula Score: {{cp.lessonAssetIdToProgress[164].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[164].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - What is an Inequality? Score: {{cp.lessonAssetIdToProgress[571].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[571].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - How to Graph 1- and 2-Variable Inequalities Score: {{cp.lessonAssetIdToProgress[572].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[572].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Graphing Inequalities: Practice Problems Score: {{cp.lessonAssetIdToProgress[574].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[574].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - What is a System of Equations? Score: {{cp.lessonAssetIdToProgress[559].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[559].bestScoreQuestions}}  Take Quiz Optional
Lesson 11 - How Do I Use a System of Equations? Score: {{cp.lessonAssetIdToProgress[560].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[560].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(2, 14)}}
Course Progress Best Score
Lesson 1 - What is a Parabola? Score: {{cp.lessonAssetIdToProgress[578].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[578].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Parabolas in Standard, Intercept, and Vertex Form Score: {{cp.lessonAssetIdToProgress[579].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[579].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Factor Quadratic Equations: FOIL in Reverse Score: {{cp.lessonAssetIdToProgress[584].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[584].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient Score: {{cp.lessonAssetIdToProgress[585].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[585].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - How to Complete the Square Score: {{cp.lessonAssetIdToProgress[586].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[586].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Completing the Square Practice Problems Score: {{cp.lessonAssetIdToProgress[587].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[587].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - How to Solve a Quadratic Equation by Factoring Score: {{cp.lessonAssetIdToProgress[589].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[589].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - How to Use the Quadratic Formula to Solve a Quadratic Equation Score: {{cp.lessonAssetIdToProgress[590].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[590].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Graphing & Solving Quadratic Inequalities: Examples & Process Score: {{cp.lessonAssetIdToProgress[14829].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14829].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Graphing a System of Quadratic Inequalities: Examples & Process Score: {{cp.lessonAssetIdToProgress[14830].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14830].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(3, 14)}}
Course Progress Best Score
Lesson 1 - How to Multiply and Divide Rational Expressions Score: {{cp.lessonAssetIdToProgress[611].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[611].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Multiplying and Dividing Rational Expressions: Practice Problems Score: {{cp.lessonAssetIdToProgress[612].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[612].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Add and Subtract Rational Expressions Score: {{cp.lessonAssetIdToProgress[613].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[613].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Practice Adding and Subtracting Rational Expressions Score: {{cp.lessonAssetIdToProgress[614].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[614].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - How to Solve a Rational Equation Score: {{cp.lessonAssetIdToProgress[615].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[615].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Horizontal and Vertical Asymptotes Score: {{cp.lessonAssetIdToProgress[165].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[165].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Graphing Rational Functions That Have Linear Polynomials: Steps & Examples Score: {{cp.lessonAssetIdToProgress[14782].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14782].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Graphing Rational Functions That Have Polynomials of Various Degrees: Steps & Examples Score: {{cp.lessonAssetIdToProgress[14783].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14783].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Analyzing the Graph of a Rational Function: Asymptotes, Domain, and Range Score: {{cp.lessonAssetIdToProgress[14784].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14784].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(4, 14)}}
Course Progress Best Score
Lesson 1 - How to Add, Subtract and Multiply Polynomials Score: {{cp.lessonAssetIdToProgress[606].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[606].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Factoring Polynomials Using Quadratic Form: Steps, Rules & Examples Score: {{cp.lessonAssetIdToProgress[14769].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14769].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Divide Polynomials with Long Division Score: {{cp.lessonAssetIdToProgress[607].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[607].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - How to Use Synthetic Division to Divide Polynomials Score: {{cp.lessonAssetIdToProgress[608].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[608].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Remainder Theorem & Factor Theorem: Definition & Examples Score: {{cp.lessonAssetIdToProgress[14770].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14770].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Dividing Polynomials with Long and Synthetic Division: Practice Problems Score: {{cp.lessonAssetIdToProgress[609].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[609].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Finding Rational Zeros Using the Rational Zeros Theorem & Synthetic Division Score: {{cp.lessonAssetIdToProgress[14771].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14771].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Fundamental Theorem of Algebra: Explanation and Example Score: {{cp.lessonAssetIdToProgress[14772].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14772].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Using Rational & Complex Zeros to Write Polynomial Equations Score: {{cp.lessonAssetIdToProgress[14773].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14773].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(5, 14)}}
Course Progress Best Score
Lesson 1 - What is an Absolute Value? Score: {{cp.lessonAssetIdToProgress[564].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[564].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - How to Evaluate Absolute Value Expressions Score: {{cp.lessonAssetIdToProgress[565].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[565].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Solve an Absolute Value Equation Score: {{cp.lessonAssetIdToProgress[566].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[566].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Solving Absolute Value Practice Problems Score: {{cp.lessonAssetIdToProgress[567].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[567].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - How to Graph an Absolute Value and Do Transformations Score: {{cp.lessonAssetIdToProgress[568].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[568].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Graphing Absolute Value Equations: Dilations & Reflections Score: {{cp.lessonAssetIdToProgress[569].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[569].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - How to Solve and Graph an Absolute Value Inequality Score: {{cp.lessonAssetIdToProgress[575].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[575].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Solving and Graphing Absolute Value Inequalities: Practice Problems Score: {{cp.lessonAssetIdToProgress[576].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[576].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(8, 14)}}
Course Progress Best Score
Lesson 1 - What is a Function: Basics and Key Terms Score: {{cp.lessonAssetIdToProgress[154].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[154].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Functions: Identification, Notation & Practice Problems Score: {{cp.lessonAssetIdToProgress[648].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[648].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Graphing Basic Functions Score: {{cp.lessonAssetIdToProgress[162].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[162].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - What Is Domain and Range in a Function? Score: {{cp.lessonAssetIdToProgress[651].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[651].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - What is a Power Function? - Definition, Equations, Graphs & Examples Score: {{cp.lessonAssetIdToProgress[14778].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14778].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - What is a Radical Function? - Definition, Equations & Graphs Score: {{cp.lessonAssetIdToProgress[14779].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14779].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Discontinuities in Functions and Graphs Score: {{cp.lessonAssetIdToProgress[168].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[168].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - How to Graph Piecewise Functions Score: {{cp.lessonAssetIdToProgress[3423].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3423].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - How to Find the Domain of Piecewise Functions Score: {{cp.lessonAssetIdToProgress[3422].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3422].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Transformations: How to Shift Graphs on a Plane Score: {{cp.lessonAssetIdToProgress[649].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[649].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(9, 14)}}
Course Progress Best Score
Lesson 1 - How to Add, Subtract, Multiply and Divide Functions Score: {{cp.lessonAssetIdToProgress[650].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[650].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - How to Compose Functions Score: {{cp.lessonAssetIdToProgress[652].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[652].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Applying Function Operations Practice Problems Score: {{cp.lessonAssetIdToProgress[654].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[654].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Compounding Functions and Graphing Functions of Functions Score: {{cp.lessonAssetIdToProgress[155].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[155].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Domain & Range of Composite Functions: Definition & Examples Score: {{cp.lessonAssetIdToProgress[14780].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14780].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Inverse Functions Score: {{cp.lessonAssetIdToProgress[653].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[653].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Understanding and Graphing the Inverse Function Score: {{cp.lessonAssetIdToProgress[156].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[156].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - One-to-One Functions: Definitions and Examples Score: {{cp.lessonAssetIdToProgress[14781].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14781].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(11, 14)}}
Course Progress Best Score
Lesson 1 - What Is an Exponential Function? Score: {{cp.lessonAssetIdToProgress[618].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[618].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Exponential Growth vs. Decay Score: {{cp.lessonAssetIdToProgress[619].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[619].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Transformation of Exponential Functions: Examples & Summary Score: {{cp.lessonAssetIdToProgress[14678].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14678].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Using the Natural Base e: Definition & Overview Score: {{cp.lessonAssetIdToProgress[14677].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14677].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - What is a Logarithm? Score: {{cp.lessonAssetIdToProgress[621].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[621].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - How to Evaluate Logarithms Score: {{cp.lessonAssetIdToProgress[622].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[622].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Writing the Inverse of Logarithmic Functions Score: {{cp.lessonAssetIdToProgress[14679].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14679].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Exponentials, Logarithms & the Natural Log Score: {{cp.lessonAssetIdToProgress[159].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[159].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Basic Graphs & Shifted Graphs of Logarithmic Functions: Definition & Examples Score: {{cp.lessonAssetIdToProgress[14680].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14680].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Logarithmic Properties Score: {{cp.lessonAssetIdToProgress[623].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[623].bestScoreQuestions}}  Take Quiz Optional
Lesson 11 - Practice Problems for Logarithmic Properties Score: {{cp.lessonAssetIdToProgress[624].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[624].bestScoreQuestions}}  Take Quiz Optional
Lesson 12 - How to Solve Logarithmic Equations Score: {{cp.lessonAssetIdToProgress[626].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[626].bestScoreQuestions}}  Take Quiz Optional
Lesson 13 - Using the Change-of-Base Formula for Logarithms: Definition & Example Score: {{cp.lessonAssetIdToProgress[14681].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14681].bestScoreQuestions}}  Take Quiz Optional
Lesson 14 - How to Solve Exponential Equations Score: {{cp.lessonAssetIdToProgress[625].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[625].bestScoreQuestions}}  Take Quiz Optional
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