Preface

Chapter 1: The Whole Numbers

1.1: Introduction to the Interactive Assignment

1.2: Place Value, Names for Numbers, and Reading Tables

1.3: Adding and Subtracting Whole Numbers, and Perimeter

1.4: Rounding and Estimating

1.5: Multiplying Whole Number and Area

1.6: Dividing Whole Numbers

1.7: Exponents and Order of Operations

1.8: Introduction to Variables, Algebraic Expressions, and Equations

Chapter 1 Review and Practice

Chapter 2: Integers and Introduction to Solving Equations

2.1: Introduction to Integers

2.2: Adding Integers

2.3: Subtracting Integers

2.4: Multiplying and Dividing Integers

2.5: Order of Operations

2.6: Solving Equations: The Addition and Multiplication Properties

Chapter 2 Review and Practice

Chapter 3: Solving Equations and Problem Solving

3.1: Simplifying Algebraic Expressions

3.2: Solving Equations: Review of the Addition and Multiplication Properties

3.3: Solving Linear Equations in One Variable

3.4: Linear Equations in One Variable and Problem Solving

Chapter 3 Review and Practice

Chapter 4: Fractions and Mixed Numbers

4.1: Introductions to Fractions and Mixed Numbers

4.2: Factors and Simplest Form

4.3: Multiplying and Dividing Fractions

4.4: Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent

Fractions

4.5: Adding and Subtracting Unlike Fractions

4.6: Complex Fractions and Review of Order of Operations

4.7: Operations and Mixed Numbers

4.8: Solving Equations Containing Fractions

Chapter 4 Review and Practice

Chapter 5: Decimals

5.1: Introduction to Decimals

5.2: Adding and Subtracting Decimals

5.3: Multiplying Decimals and Circumference of a Circle

5.4: Dividing Decimals

5.5: Fractions, Decimals, and Order of Operations

5.6: Solving Equations Containing Decimals

5.7: Decimal Applications: Mean, Median, and Mode

Chapter 5 Review and Practice

Chapter 6: Ratio, Proportion, and Percent

6.1: Ratio and Proportion

6.2: Percents, Decimals, and Fractions

6.3: Solving Percent Problems with Equations

6.4: Solving Percent Problems with Proportions

6.5: Applications of Percent

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

6.7: Percent and Problem Solving: Interest

Chapter 6 Review and Practice

Chapter 7: Graphs, Triangle Applications, and Introduction to Statistics and Probability

7.1: Pictographs, Bar Graphs, Histograms, Line Graphs, and Introduction to Statistics

7.2: Circle Graphs

7.3: Square Roots and the Pythagorean Theorem

7.4: Congruent and Similar Triangles

7.5: Counting and Introduction to Probability

Chapter 7 Review and Practice

Chapter 8: Geometry and Measurement

8.1: Lines and Angles

8.2: Perimeter

8.3: Area, Volume, and Surface Area

8.4: Linear Measurement

8.5: Weight and Mass

8.6: Capacity

8.7: Temperature and Conversions Between the U.S. and Metric System

Chapter 8 Review and Practice

Chapter 9: Equations, Inequalities, and Problem Solving

9.1: Symbols and Sets of Numbers

9.2: Properties of Real Numbers

9.3: Further Solving Linear Equations

9.4: Further Problem Solving

9.5: Formulas and Problem Solving

9.6: Linear Inequalities and Problem Solving

Chapter 9 Review and Practice

Chapter 10: Graphing

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

10.6 Functions

Chapter 10 Review and Practice

Chapter 11: Solving Systems of Linear 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

11.4: Solving Systems of Linear Equations by Three Variables

11.5: Systems of Linear Equations and Problem Solving

Chapter 11 Review and Practice

Chapter 12: Exponents and Polynomials

12.1: Exponents

12.2: Polynomial Functions and Adding and Subtracting Polynomials

12.3: Multiplying Polynomials

12.4: Special Products

12.5: Negative Exponents and Scientific Notation

12.6: Dividing Polynomials

12.7: Synthetic Division and the Remainder Theorem

Chapter 12 Review and Practice

Chapter 13: Factoring Polynomials

13.1: The Greatest Common Factor and Factoring by Grouping

13.2: Factoring Trinomials of the Form x² + bx + c

13.3: Factoring Trinomials of the Form x² + bx + c and Perfect Square Trinomials

13.4: Factoring Trinomials of the Form x² + bx + c by Grouping

13.5: Factoring Binomials

13.6: Solving Quadratic Equations by Factoring

13.7: Quadratic Equations and Problem Solving

Chapter 13 Review and Practice

Chapter 14: Rational Expressions

14.1: Rational Functions and Simplifying Rational Expressions

14.2: Multiplying and Dividing Rational Expressions

14.3: Adding and Subtracting Rational Expressions with Common Denominators and Least

Common Denominator

14.4: Adding and Subtracting Rational Expressions with Unlike Denominators

14.5: Solving Equations Containing Rational Expressions

14.6: Problem Solving with Proportions and Rational Equations

14.7: Simplifying Complex Fractions

Chapter 14 Review and Practice

Chapter 15: More on Functions and Graphs

15.1: Graphing and Writing Linear Functions

15.2: Reviewing Function Notation and Graphing Nonlinear Functions

15.3: Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions

15.4: Variation and Problem Solving

Chapter 15 Review and Practice

Chapter 16: Inequalities and Absolute Value

16.1: Compound Inequalities

16.2: Absolute Value Equations

16.3: Absolute Value Inequalities

16.4: Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities

Chapter 16 Review and Practice

Chapter 17: Rational Exponents, Radicals, and Complex Numbers

17.1 Radicals and Radical Functions

17.2 Rational Exponents

17.3 Simplifying Radical Expressions

17.4 Adding, Subtracting, and Multiplying Radical Expressions

17.5 Rationalizing Denominators and Numerators of Radical Expressions

17.6 Radical Equations and Problem Solving

17.7 Complex Numbers

Chapter 17 Review and Practice

Chapter 18: Quadratic Equations and Functions

18.1 Solving Quadratic Equations by Completing the Square

18.2 Solving Quadratic Equations by the Quadratic Formula

18.3 Solving Equations by Using Quadratic Methods

18.4 Nonlinear Inequalities in One Variable

18.5 Quadratic Functions and Their Graphs

18.6 Further Graphing of Quadratic Functions

Chapter 18 Review and Practice

Chapter 19: Exponential and Logarithmic Functions

19.1 The Algebra of Functions; Composite Functions

19.2 Inverse Functions

19.3 Exponential Functions

19.4 Exponential Growth and Decay Functions

19.5 Logarithmic Functions

19.6 Properties of Logarithms

19.7 Common Logarithms, Natural Logarithms, and Change of Base

19.8 Exponential and Logarithmic Equations and Problem Solving

Chapter 19 Review and Practice

Chapter 20: Conic Sections

20.1 The Parabola and the Circle

20.2 The Ellipse and the Hyperbola

20.3 Solving Nonlinear Systems of Equations

20.4 Nonlinear Inequalities and Systems of Inequalities

Chapter 20 Review and Practice

Chapter 21: Sequence, Series, and the Binomial Theorem

21.1 Sequences

21.2 Arithmetic and Geometric Sequences

21.3 Series

21.4 Partial Sums of Arithmetic and Geometric Sequences

21.5 The Binomial Theorem

Chapter 21 Review and Practice

Appendices:

A. Tables

A.1 Table of Geometric Figures

A.2 Table of Percents, Decimals, and Fraction Equivalents

A.3 Table on Finding Common Percents of a Number

A.4 Table of Squares and Square Roots

A.5 Geometric Formulas

B. Review of Algebra Topics

B.1 Equations (Linear and Quadratic Solved by Factoring)

B.2 Mixture and Uniform Motion Problem Solving

B.3 Graphing

B.4 Polynomials and Factoring

B.5 Rational Expressions

C. Stretching and Compressing Graphs of Absolute Value Functions

D. An Introduction to Using a Graphing Utility

E. Solving Systems of Equations by Matrices

F. Solving Systems of Equations by Determinants

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