## Table of Contents

**Chapter 1: The Whole Numbers**

1.1 Tips for Success in Mathematics

1.2 Place Value, Names for Numbers, and Reading Tables

1.3 Adding Whole Numbers and Perimeter

1.4 Subtracting Whole Numbers

1.5 Rounding and Estimating

1.6 Multiplying Whole Numbers and Area

1.7 Dividing Whole Numbers

*Integrated Review–Operations on Whole Numbers*

1.8 An Introduction to Problem Solving

1.9 Exponents, Square Roots, and Order of operations

** **

**Chapter 2: Multiplying and Dividing Fractions**

2.1 Introduction to Fractions and Mixed Numbers

2.2 Factors and Prime Factorization

2.3 Simplest Form of a Fraction

*Integrated Review–Summary on Fractions, Mixed Numbers, and Factors*

2.4 Multiplying Fractions and Mixed Numbers

2.5 Dividing Fractions and Mixed Numbers

** **

**Chapter 3: Adding and Subtracting Fractions**

3.1 Adding and Subtracting Like Fractions

3.2 Least Common Multiple

3.3 Adding and Subtracting Unlike Fractions

*Integrated Review–Operations on Fractions and Mixed Numbers*

3.4 Adding and Subtracting Mixed Numbers

3.5 Order, Exponents, and the Order of Operations

3.6 Fractions and Problem Solving

** **

**Chapter 4: Decimals**

4.1 Introduction to Decimals

4.2 Order and Rounding

4.3 Adding and Subtracting Decimals

4.4 Multiplying Decimals and Circumference of a Circle

*Integrated Review–Operations on Decimals*

4.5 Dividing Decimals and Order of Operations

4.6 Fractions and Decimals

** **

**Chapter 5 Percent**

5.1 Ratio and Proportion

5.2 Introduction to Percent

5.3 Percents and Fractions

5.4 Solving Percent Problems Using Equations

5.5 Solving Percent Problems Using Proportions

*Integrated Review-Ratio, Proportion, and Percent*

5.6 Applications of Percent

5.7 Percent and Problem Solving: Sales Tax, Commission, and Discount

5.8 Percent and Problem Solving: Interest

** **

**Chapter 6 Geometry**

6.1 Lines and Angles

6.2 Plane Figures and Solids

6.3 Perimeter

6.4 Area

6.5 Volume

*Integrated Review-Geometry Concepts*

6.6 Square Roots and the Pythagorean Theorem

6.7 Congruent and Similar Triangles

** **

**Chapter 7 Statistics and Probability**

7.1 Reading Pictographs, Bar Graphs, Histograms, and Line Graphs

7.2 Reading Circle Graphs

*Integrated Review-Reading Graphs*

7.3 Mean, Median, and Mode

7.4 Counting and Introduction to Probability

** **

**Chapter 8 Real Numbers and Introduction to Algebra**

8.1 Symbols and Sets of Numbers

8.2 Exponents, Order of Operations, and Variable Expressions

8.3 Adding Real Numbers

8.4 Subtracting Real Numbers

*Integrated Review-Operations on Real Numbers*

8.5 Multiplying and Dividing Real Numbers

8.6 Properties of Real Numbers

8.7 Simplifying Expressions

** **

**Chapter 9 Equations, Inequalities, and Problem Solving**

9.1 The Addition Property of Equality

9.2 The Multiplication Property of Equality

9.3 Further Solving Linear Equations

*Integrated Review-Solving Linear Equations*

9.4 An Introduction to Problem Solving

9.5 Formulas and Problem Solving

9.6 Percent and Mixture Problem Solving

9.7 Linear Inequalities and Problem Solving

** **

**Chapter 10 Graphing Equations and Inequalities**

10.1 The Rectangular Coordinate System

10.2 Graphing Linear Equations

10.3 Intercepts

10.4 Slope and Rate of Change

10.5 Equations of Lines

*Integrated Review-Summary on Linear Equations*

10.6 Introduction to Functions

10.76 Graphing Linear Inequalities in Two Variables

10.8 Direct and Inverse Variation

** **

**Chapter 11 Systems of Equations**

11.1 Solving Systems of Linear Equations by Graphing

11.2 solving Systems of Linear Equations by Substitution

11.3 Solving Systems of Linear Equations by Addition

*Integrated Review-Summary on Solving Systems of Equations*

11.4 Systems of Linear Equations and Problem Solving

Chapter 12 Exponents and Polynomials

12.1 Exponents

12.2 Negative Exponents and Scientific Notation

12.3 Introduction to Polynomials

12.4 Adding and Subtracting Polynomials

12.5 Multiplying Polynomials

12.6 Special Products

*Integrated Review- Exponents and Operations on Polynomials*

12.7 Dividing Polynomials

** **

**Chapter 13 Factoring Polynomials**

13.1 The Greatest Common Factor

13.2 Factoring Trinomials of the Form x² + bx + c

13.3 Factoring Trinomials of the Form ax² + bx + c

13.4 Factoring Trinomials of the Form ax² + bx + c by Grouping

13.5 Factoring Perfect Square Trinomials and the Difference of Two Squares

*Integrated Review-Choosing a Factoring Strategy*

13.6 Solving Quadratic Equations by Factoring

13.7 Quadratic Equations and Problem Solving

** **

**Chapter 14 Rational Expressions**

14.1 Simplifying Rational Expressions

14.2 Multiplying and Dividing Rational Expressions

14.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator

14.4 Adding and Subtracting Rational Expressions with Different Denominators

14.5 Solving Equations Containing Rational Expressions

*Integrated Review-Summary on Rational Expression*

14.6 Rational Equations and Problem Solving

14.7 Simplifying Complex Fractions

** **

**Chapter 15 Roots and Radicals**

15.1 Introduction to Radicals

15.2 Simplifying Radicals

15.3 Adding and Subtracting Radicals

15.4 Multiplying and Dividing Radicals

*Integrated Review-Simplifying Radicals*

15.5 Solving Equations Containing Radicals

15.6 Radical Equation and Problem Solving

** **

**Chapter 16 Quadratic Equations**

16.1 Solving Quadratic Equations by the Square Root Property

16.2 Solving Quadratic Equations by Completing the Square

16.3 Solving Quadratic Equations by the Quadratic Formula

*Integrated Review-Summary Solving Quadratic Equations*

16.4 Graphing Quadratic Equations in Two Variables

16.5 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise —Defined Functions.

** **

**Appendices**

**Appendix A Further Algebraic Topics**

A.1 Factoring Sums and Differences of Cubes

A.2 Sets and Compound Inequalities

A.3 Absolute Value Equations and Inequalities

A.4 The Distance and Midpoint Formulas

A.5 Writing Equations of Parallel and Perpendicular Lines

A.6 Nonlinear Inequalities in One Variable

A.7 Rational Exponents

A.8 Systems of Linear Inequalities

** **

**Appendix B Tables**

B.1 Percent, Decimal, and Fraction Equivalents

B.2 Table of Squares and Square Roots

B.3 Compound Interest

**Student Resources**

Study Skills Builders

Bigger Picture–Study Guide Outline

Practice Final Exam

Answers to Selected Exercises