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Table of Contents

Chapter R

Prealgebra Review

R.1 Factors and the Least Common Multiple

R.2 Fractions

R.3 Decimals and Percents

Chapters R Group Activity: Interpreting Survey Results

Chapter R Vocabulary Check

Chapter R Highlights

Chapter R Review

Chapter R Test

Chapter 1 Real Numbers and Introduction to Algebra

1.1Â Â Â Â Tips for Success in Mathematics

1.2Â Â Â Â Symbols and Sets of Numbers

1.3Â Â Â Â Exponents, Order of Operations, and VariTable Expressions

1.4Â Â Â Â Adding Real Numbers

1.5Â Â Â Â Subtracting Real Numbers

1.6Â Â Â Â Multiplying and Dividing Real Numbers

1.7Â Â Â Â Properties of Real Numbers

1.8Â Â Â Â Simplifying Expressions

Chapter 2 Equations, Inequalities, and Problem Solving

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 Further Solving Linear Equations

2.4 An Introduction to Problem Solving

2.5 Formulas and Problem Solving

2.6 Percent and Mixture Problem Solving

2.7 Linear Inequalities and Problem Solving

Chapter 3 Exponents and Polynomials

3.1 Exponents

3.2 Negative Exponents and Scientific Notation

3.3 Introduction to Polynomials

3.4 Adding and Subtracting Polynomials

3.5 Multiplying Polynomials

3.6 Special Products

3.7 Dividing Polynomials

Chapter 4 Factoring Polynomials

4.1 The Greatest Common Factor

4.2 Factoring Trinomials of the Form x^2 + bx + c

4.3 Factoring Trinomials of the Form ax^2 + bx + c

4.4 Factoring Trinomials of the Form ax^2 + bx + c by Grouping

4.5 Factoring Perfect Square Trinomials and the Difference of Two Square

4.6 Solving Quadratic Equations by Factoring

4.7 Quadratic Equations and Problem Solving

Chapter 5 Rational Expressions

5.1 Simplifying Rational Expressions

5.2 Multiplying and Dividing Rational Expressions

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

5.4 Adding and Subtracting Rational Expressions with Different Denominators

5.5 Solving Equations Containing Rational Expressions

5.6 Proportions and Problem Solving with Rational Equations

5.7 Simplifying Complex Fractions

Chapter 6 Graphing Equations and Inequalities

6.1 Reading Graphs and the Rectangular Coordinate System

6.2 Graphing Linear Equations

6.3 Intercepts

6.4 Slope and Rate of Change

6.5 Equations of Lines

6.6 Introduction to Functions

6.7 Graphing Linear Inequalities in Two VariTables

6.8 Direct and Inverse Variation

Chapter 7 Systems of Equations

7.1 Solving Systems of Linear Equations by Graphing

7.2 Solving Systems of Linear Equations by Substitution

7.3 Solving Systems of Linear Equations by Addition

7.4 Systems of Linear Equations and Problem Solving

Chapter 8 Roots and Radicals

8.1 Introduction to Radicals

8.2 Simplifying Radicals

8.3 Adding and Subtracting Radicals

8.4 Multiplying and Dividng Radicals

8.5 Solving Equations Containing Radicals

8.6 Radical Equations and Problem Solving

Chapter 9 Quadratic Equations

9.1 Solving Quadratic Equations by the Square Root Property

9.2 Solving Quadratic Equations by Completing the Square

9.3 Solving Quadratic Equations by the Quadratic Formula

9.4 Graphing Quadratic Equations in Two VariTables

Appendix A Factoring Sums and Differences of Cubes

Appendix B Mean, Median, and Mode

Appendix C Sets

Appendix D Review of Angles, Lines, and Special Triangles

Appendix E TTables

Student Resources