## Table of Contents

*Solved Examples and Worksheets are available for each section.*

**1. Whole Numbers**

1.1 Reading and Writing Whole Numbers

1.2 Adding Whole Numbers

1.3 Subtracting Whole Numbers

1.4 Multiplying Whole Numbers

1.5 Dividing Whole Numbers

1.6 Long Division

1.7 Rounding Whole Numbers

1.8 Exponents, Roots, and Order of Operations

1.9 Reading Pictographs, Bar Graphs, and Line Graphs

1.10 Solving Application Problems

**2. Fractions and Mixed Numbers**

2.1 Basics of Fractions

2.2 Mixed Numbers

2.3 Factors

2.4 Writing a Fraction in Lowest Terms

2.5 Multiplying Fractions

2.6 Applications of Multiplication

2.7 Dividing Fractions

2.8 Multiplying and Dividing Mixed Numbers

2.9 Adding and Subtracting Like Fractions

2.10 Least Common Multiples

2.11 Adding and Subtracting Unlike Fractions

2.12 Adding and Subtracting Mixed Numbers

2.13 Order Relations and the Order of Operations

**3. Decimals**

3.1 Reading and Writing Decimals

3.2 Rounding Decimals

3.3 Adding and Subtracting Decimals

3.4 Multiplying Decimals

3.5 Dividing Decimals

3.6 Writing Fractions and Decimals

**4. Ration, Proportion, and Percent**

4.1 Ratios

4.2 Rates

4.3 Proportions

4.4 Solving Proportions

4.5 Solving Application Problems with Proportions

4.6 Basics of Percent

4.7 Percents and Fractions

4.8 Using the Percent Proportion and Identifying the Components in a Percent Problem

4.9 Using Proportions to Solve Percent Problems

4.10 Using the Percent Equation

4.11 Solving Application Problems with Percent

4.12 Simple Interest

4.13 Compound Interest

**5. Geometry**

5.1 Lines and Angles

5.2 Rectangles and Squares

5.3 Parallelograms and Trapezoids

5.4 Triangles

5.5 Circles

5.6 Volume and Surface Area

5.7 Pythagorean Theorem

5.8 Congruent and Similar Triangles

**6. Statistics**

6.1 Circle Graphs

6.2 Bar Graphs and Line Graphs

6.3 Frequency Distributions and Histograms

6.4 Mean, Median and Mode

**7. The Real Number System**

7.1 Exponents, Order of Operations, and Inequality

7.2 Variables, Expressions, and Equations

7.3 Real Numbers and the Number Line

7.4 Adding Real Numbers

7.5 Subtracting Real Numbers

7.6 Multiplying and Dividing Real Numbers

7.7 Properties of Real Numbers

7.8 Simplifying Expressions

**8. Equations, Inequalities, and Applications**

8.1 The Addition Property of Equality

8.2 The Multiplication Property of Equality

8.3 More on Solving Linear Equations

8.4 An Introduction to Applications of Linear Equations

8.5 Formulas and Applications from Geometry

8.6 Solving Linear Inequalities

**9. Graphs of Linear Equations and Inequalities in Two Variables**

9.1 Reading Graphs: Linear Equations in Two Variables

9.2 Graphing Linear Equations in Two Variables

9.3 Slope of a Line

9.4 Equations of Lines

9.5 Graphing Linear Inequalities in Two Variables

**10. Exponents and Polynomials**

10.1 Adding and Subtracting Polynomials

10.2 The Product Rule and Power Rules for Exponents

10.3 Multiplying Polynomials

10.4 Special Products

10.5 Integers, Exponents, and the Quotient Rule

10.6 Dividing a Polynomial by a Monomial

10.7 Dividing a Polynomial by a Polynomial

10.8 An Application of Exponents: Scientific Notation

**11. Factoring and Applications**

11.1 The Greatest Common Factor

11.2 Factoring Trinomials

11.3 Factoring Trinomials by Grouping

11.4 Factoring Trinomials Using FOIL

11.5 Special Factoring Techniques

11.6 Solving Quadratic Equations by Factoring

11.7 Applications of Quadratic Equations

**12. Rational Expressions and Applications**

12.1 The Fundamental Property of Rational Expressions

12.2 Multiplying and Dividing Rational Expressions

12.3 Least Common Denominator

12.4 Adding and Subtracting Rational Expressions

12.5 Complex Fractions

12.6 Solving Equations with Rational Expressions

12.7 Applications of Rational Expressions

12.8 Variation

**13. Systems of Linear Equations and Inequalities**

13.1 Solving Systems of Linear Equations by Graphing

13.2 Solving Systems of Linear Equations by Substitution

13.3 Solving Systems of Linear Equations by Elimination

13.4 Applications of Linear Systems

13.5 Solving Systems of Linear Inequalities

**14. Roots and Radicals**

14.1 Evaluating Roots

14.2 Multiplying, Dividing, and Simplifying Radicals

14.3 Adding and Subtracting Radicals

14.4 Rationalizing the Denominator

14.5 More Simplifying and Operations with Radicals

14.6 Solving Equations with Radicals

**15. Quadratic Equations**

15.1 Solving Equations by the Square Root Property

15.2 Solving Quadratic Equations by Completing the Square

15.3 Solving Quadratic Equations by the Quadratic Formula

15.4 Graphing Quadratic Equations and Inequalities

15.5 Introduction to Functions

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