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Prealgebra 2e

The arithmetic foundation for algebra: whole numbers, integers, fractions, decimals, percents, and a first look at equations, graphs, and geometry. Working these exercises builds the number fluency and step-by-step habits that a first algebra course assumes.

4,351 exercises60 sections

Status

Sections

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Whole Numbers

427

1.1 Introduction to Whole Numbers46

1.2 Add Whole Numbers64

1.3 Subtract Whole Numbers61

1.4 Multiply Whole Numbers99

1.5 Divide Whole Numbers157

The Language of Algebra

363

2.1 Use the Language of Algebra65

2.2 Evaluate, Simplify, and Translate Expressions79

2.3 Solving Equations Using the Subtraction and Addition Properties of Equality56

2.4 Find Multiples and Factors49

2.5 Prime Factorization and the Least Common Multiple114

Integers

396

3.1 Introduction to Integers62

3.2 Add Integers60

3.3 Subtract Integers68

3.4 Multiply and Divide Integers77

3.5 Solve Equations Using Integers; The Division Property of Equality129

Fractions

550

4.1 Visualize Fractions38

4.2 Multiply and Divide Fractions82

4.3 Multiply and Divide Mixed Numbers and Complex Fractions87

4.4 Add and Subtract Fractions with Common Denominators59

4.5 Add and Subtract Fractions with Different Denominators101

4.6 Add and Subtract Mixed Numbers50

4.7 Solve Equations with Fractions133

Decimals

576

5.2 Decimal Operations95

5.3 Decimals and Fractions77

5.4 Solve Equations with Decimals57

5.5 Averages and Probability49

5.6 Ratios and Rate79

5.7 Simplify and Use Square Roots154

Percents

361

6.1 Understand Percent87

6.2 Solve General Applications of Percent52

6.3 Solve Sales Tax, Commission, and Discount Applications44

6.4 Solve Simple Interest Applications44

6.5 Solve Proportions and their Applications134

The Properties of Real Numbers

375

7.1 Rational and Irrational Numbers21

7.2 Commutative and Associative Properties72

7.3 Distributive Property70

7.4 Properties of Identity, Inverses, and Zero64

7.5 Systems of Measurement148

Solving Linear Equations

272

8.1 Solve Equations Using the Subtraction and Addition Properties of Equality61

8.2 Solve Equations Using the Division and Multiplication Properties of Equality39

8.3 Solve Equations with Variables and Constants on Both Sides85

8.4 Solve Equations with Fraction or Decimal Coefficients87

Math Models and Geometry

346

9.1 Use a Problem Solving Strategy48

9.2 Solve Money Applications29

9.3 Use Properties of Angles, Triangles, and the Pythagorean Theorem28

9.4 Use Properties of Rectangles, Triangles, and Trapezoids74

9.5 Solve Geometry Applications: Circles and Irregular Figures18

9.6 Solve Geometry Applications: Volume and Surface Area44

9.7 Solve a Formula for a Specific Variable105

Polynomials

572

10.1 Add and Subtract Polynomials56

10.2 Use Multiplication Properties of Exponents90

10.3 Multiply Polynomials74

10.4 Divide Monomials102

10.5 Integer Exponents and Scientific Notation102

10.6 Introduction to Factoring Polynomials148

Graphs

113

11.1 Use the Rectangular Coordinate System28

11.2 Graphing Linear Equations4

11.3 Graphing with Intercepts35

11.4 Understand Slope of a Line46

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