## Table of Contents

**1. The Whole Numbers**

1.1 Place Value and Understanding Whole Numbers

1.2 Adding and Subtracting Whole Numbers

1.3 Rounding and Estimating

1.4 Multiplying Whole Numbers

1.5 Dividing Whole Numbers

1.6 Exponents and Order of Operations

1.7 Prealgebra with Whole Numbers

1.8 Applications of Whole Numbers: Perimeter, Area, Money, and More

**2. Integers**

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 Prealgebra with Integers

2.7 Applications of Integers: Money, Temperature, and More

**3. Solving Linear Equations**

3.1 Simplifying Algebraic Expressions

3.2 Solving Linear Equations: The Addition Property of Equality

3.3 Solving Linear Equations: The Multiplication Property of Equality

3.4 Solving Linear Equations: Several Steps and Using Formulas

3.5 Applications of Linear Equations: Numbers, Geometry Formulas, and More

**4. Fractions and Mixed Numbers**

4.1 Understanding Fractions and Mixed Numbers

4.2 Simplifying Fractions

4.3 Multiplying and Dividing Fractions

4.4 Adding and Subtracting Fractions with the Same Denominator; and Least Common Denominator

4.5 Adding and Subtracting Fractions with Different Denominators

4.6 Operations on Mixed Numbers

4.7 Order of Operations and Complex Fractions

4.8 Prealgebra with Fractions: Expressions

4.9 Prealgebra with Fractions: Equations

4.10 Applications of Fractions: Numbers, Geometry, and More

**5. Decimals**

5.1 Introduction to Decimals

5.2 Adding and Subtracting Decimals

5.3 Multiplying Decimals

5.4 Dividing Decimals and Order of Operations

5.5 Fractions and Decimals

5.6 Prealgebra with Decimals

5.7 Applications of Decimals: Money, Geometry, and More

**6. Ratios, Proportions, and Line/Angle/Triangle Relationship**

6.1 Applications of Fractions: Numbers, Geometry, and More

6.2 Proportions

6.3 Lines and Angles

6.4 Square Roots and the Pythagorean Theorem

6.5 Congruent and Similar Triangles

6.6 Applications of Ratios, Rates, Proportions, and Triangle Relationships

**7. Percent**

7.1 Percents, Decimals, and Fractions

7.2 Solving Percent Problems: Proportions

7.3 Solving Percent Problems: Equations

7.4 Applications of Percent: Translating and Percent Increase/Decrease

7.5 Applications of Percent: Discount, Markup, Tip, and Simple Interest

**8. Units of Measure**

8.1 U.S. System Units of Measure

8.2 Metric System Units of Measure

8.3 Metric - U.S. Conversions and Temperature

8.4 Applications of Measurement

**9. Introduction to Graphing, Statistics, and Probability**

9.1 Pictographs, Bar Graphs, Histograms, and Line Graphs

9.2 Circle Graphs

9.3 Introduction to Statistics

9.4 Introduction to Probability

**10. Real Numbers, Equations, and Inequalities**

10.1 Real Numbers and the Number Line

10.2 Properties of Real Numbers

10.3 Solving Linear Equations: Fractions, Decimals, and More

10.4 Further Algebraic Skills With Formulas

10.5 Further Algebraic Skills with Formulas

10.6 Solving Linear Inequalities

10.7 Applications of Linear Inequalities

**11. Graphing Equations and Inequalities**

11.1 Linear Equations in Two Variables: *Ax* + *By* = *C*

11.2 Graphing Linear Equations

11.3 Slope of a Line

11.4 Equations of Lines

11.5 Graphing Linear Inequalities in Two Variables

11.6 Applications of Linear Equations and Inequalities and Their Graphs

11.7 Introduction to Functions

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

12.1 Solving Systems of Linear Equations: Graphing Method

12.2 Solving Systems of Linear Equations: Substitution Method

12.3 Solving Systems of Linear Equations: Addition Method

12.4 Solving Systems of Linear Inequalities

12.5 Applying Systems of Linear Equations

**13. Exponents and Polynomials**

13.1 The Product Rule and Power Rules for Exponents

13.2 Integer Exponents and the Quotient Rule

13.3 Introduction to Polynomials

13.4 Adding and Subtracting Polynomials

13.5 Multiplying Polynomials

13.6 Special Products

13.7 Dividing Polynomials

13.8 Applying Exponents: Scientific Notation

13.9 Applying Polynomials

**14. Factoring Polynomials**

14.1 The Greatest Common Factor

14.2 Factoring Trinomials of the Form *x*^{2} + bx + c

14.3 Factoring Trinomials of the Form *ax*^{2} + bx + c

14.4 Special Factoring Techniques

14.5 A General Strategy for Factoring Polynomials

14.6 Solving Quadratic Equations by Factoring

14.7 Applying Quadratic Equations

**15. Rational Expressions and Applications**

15.1 Simplifying Rational Expressions

15.2 Multiplying and Dividing Rational Expressions

15.3 Adding and Subtracting Rational Expressions with the Same Denominator

15.4 Adding and Subtracting Rational Expressions with Different Denominators

15.5 Simplifying Complex Fractions

15.6 Solving Equations Containing Rational Expressions

15.7 Applying Rational Equations: Numbers, Rates, and Work

15.8 Applying Rational Equations: Variation

**16. Roots and Radicals**

16.1 Introduction to Radicals

16.2 Simplifying Radicals

16.3 Adding and Subtracting Radicals

16.4 Multiplying and Dividing Radicals

16.5 Rational Exponents

16.6 Solving Equations Containing Radicals

16.7 Applying Radicals

16.8 Complex Numbers

**17. Quadratic Equations**

17.1 Solving Quadratic Equations Using the Square Root Property

17.2 Solving Quadratic Equations by Completing the Square

17.3 Solving Quadratic Equations Usingthe Quadratic Formula

17.4 Graphing Quadratic Equations in Two Variables

17.5 Applying Quadratic Equations

**18. Exponential and Logarithmic Functions**

18.1 Functions: Algebra and Compostion

18.2 Inverse Functions

18.3 Exponential Functions

18.4 Logarithmic Functions

18.5 Properties of Logarithms

18.6 Common Logarithms, Natural Logarithms, and Change of Base of Logarithms

18.7 Exponential and Logarithmic Equations and Applications

**19. Conic Sections and Further Algebraic Topics**

19.1 The Distance Formula and the Circle

19.2 The Parabola, Ellipse, and Hyperbola

19.3 Compound Inequalities

19.4 Absolute Value Equations and Inequalities

19.5 Solving Nonlinear Systems of Equations