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Elementary Algebra 2e

A first algebra course: linear equations and inequalities, graphing, systems, polynomials and factoring, rational expressions, radicals, and quadratic equations. The exercises train the core skill everything later builds on — translating a problem into an equation and solving it methodically.

Elementary Algebra 2e

5,088 exercises71 sections

Status

Sections

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Foundations

1,040

1.1 Introduction to Whole Numbers64

1.2 Use the Language of Algebra97

1.3 Add and Subtract Integers81

1.4 Multiply and Divide Integers88

1.5 Visualize Fractions72

1.6 Add and Subtract Fractions87

1.7 Decimals101

1.8 The Real Numbers58

1.9 Properties of Real Numbers101

1.10 Systems of Measurement291

Solving Linear Equations and Inequalities

436

2.1 Solve Equations Using the Subtraction and Addition Properties of Equality67

2.2 Solve Equations using the Division and Multiplication Properties of Equality81

2.3 Solve Equations with Variables and Constants on Both Sides50

2.4 Use a General Strategy to Solve Linear Equations70

2.5 Solve Equations with Fractions or Decimals52

2.6 Solve a Formula for a Specific Variable46

2.7 Solve Linear Inequalities70

Math Models

347

3.1 Use a Problem-Solving Strategy59

3.2 Solve Percent Applications84

3.3 Solve Mixture Applications44

3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem53

3.5 Solve Uniform Motion Applications26

3.6 Solve Applications with Linear Inequalities81

Graphs

276

4.1 Use the Rectangular Coordinate System35

4.2 Graph Linear Equations in Two Variables3

4.3 Graph with Intercepts21

4.4 Understand Slope of a Line28

4.5 Use the Slope-Intercept Form of an Equation of a Line62

4.6 Find the Equation of a Line82

4.7 Graphs of Linear Inequalities45

Systems of Linear Equations

301

5.1 Solve Systems of Equations by Graphing65

5.2 Solving Systems of Equations by Substitution56

5.3 Solve Systems of Equations by Elimination53

5.4 Solve Applications with Systems of Equations53

5.5 Solve Mixture Applications with Systems of Equations33

5.6 Graphing Systems of Linear Inequalities41

Polynomials

673

6.1 Add and Subtract Polynomials87

6.2 Use Multiplication Properties of Exponents74

6.3 Multiply Polynomials105

6.4 Special Products52

6.5 Divide Monomials96

6.6 Divide Polynomials63

6.7 Integer Exponents and Scientific Notation196

Factoring

460

7.1 Greatest Common Factor and Factor by Grouping67

7.2 Factor Trinomials of the Form x 2 +bx+c74

7.3 Factor Trinomials of the Form ax 2 +bx+c73

7.4 Factor Special Products76

7.5 General Strategy for Factoring Polynomials49

7.6 Quadratic Equations121

Rational Expressions and Equations

547

8.1 Simplify Rational Expressions79

8.2 Multiply and Divide Rational Expressions65

8.3 Add and Subtract Rational Expressions with a Common Denominator44

8.4 Add and Subtract Rational Expressions with Unlike Denominators72

8.5 Simplify Complex Rational Expressions45

8.6 Solve Rational Equations58

8.7 Solve Proportion and Similar Figure Applications52

8.8 Solve Uniform Motion and Work Applications29

8.9 Use Direct and Inverse Variation103

Roots and Radicals

735

9.1 Simplify and Use Square Roots61

9.2 Simplify Square Roots98

9.3 Add and Subtract Square Roots91

9.4 Multiply Square Roots88

9.5 Divide Square Roots74

9.6 Solve Equations with Square Roots61

9.7 Higher Roots86

9.8 Rational Exponents176

Quadratic Equations

273

10.1 Solve Quadratic Equations Using the Square Root Property64

10.2 Solve Quadratic Equations by Completing the Square52

10.3 Solve Quadratic Equations Using the Quadratic Formula47

10.4 Solve Applications Modeled by Quadratic Equations22

10.5 Graphing Quadratic Equations in Two Variables88

Adapted from Elementary Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Elementary Algebra 2e. Imported at revision 77a933c.