## Table of Contents

**1. Whole Numbers**

1.1 Introduction to Numbers, Notation, and Rounding

1.2 Adding and Subtracting Whole Numbers; Exponents

1.3 Multiplying Whole Numbers; Solving Equations

1.4 Dividing Whole Numbers; Solving Equations

1.5 Order of Operations; Mean, Median, and Mode

1.6 More with Formulas

**2. Integers**

2.1 Introduction to Integers

2.2 Adding Integers

2.3. Subtracting Integers and Solving Equations

2.4 Multiplying and Dividing Integers; Exponents; Square Roots; Solving Equations

2.5 Order of Operations

2.6 Additional Applications and Problem Solving

**3. Expressions and Equations**

3.1 Translating and Evaluating Expressions

3.2 The Distributive Property; Combining Like Terms

3.3 Equations and their Solutions

3.4 The Addition Principle of Equality

3.5 The Multiplication Principle of Equality

3.6 Translating Word Sentences of Equations

**4. Multiplying and Dividing Fractions**

4.1 Prime Numbers and GCF

4.2 Introduction to Fractions

4.3 Simplifying Fractions

4.4 Multiplying Fractions and Mixed Numbers

4.5 Dividing Fractions and Mixed Numbers

**5. Adding and Subtracting Fractions**

5.1 Least Common Multiple

5.2 Adding and Subtracting Fractions and Mixed Numbers

5.3 Order of Operations; Evaluating and Simplifying Expressions

5.4 Solving Equations

**6. Decimals**

6.1 Introduction to Decimal Numbers

6.2 Adding and Subtracting Decimal Numbers

6.3 Multiplying Decimal Numbers; Exponents with Decimal Bases

6.4 Dividing Decimal Numbers; Square Roots with Decimals

6.5 Order of Operations and Applications in Geometry

6.6 Solving Equations and Problem Solving

6.7 Points, Lines, and Angles

**7. Ratios, Proportions and Measurement**

7.1 Ratios, Probability, and Rates

7.2 Proportions

7.3 American Measurement; Time

7.4 Metric Measurement

7.5 Converting between Systems; Temperature

7.6 Applications and Problem Solving

**8. Percents**

8.1 Introduction to Percent

8.2 Solving Basic Percent Sentences

8.3 Solving Percent Problems (Proportions)

8.4 Solving Problems Involving Percent of Increase or Decrease

8.5 Solving Problems Involving Interest

**9. Linear Equations and Inequalities in One Variable **

9.1 Linear Equations and Formulas

9.2 Solving Problems

9.3 Solving Linear Inequalities

9.4 Compound Inequalities

9.5 Equations Involving Absolute Value

9.6 Inequalities Involving Absolute Value

**10. Graphing Linear Equations and Inequalities **

10.1 The Rectangular Coordinate System

10.2 Graphing Linear Equations

10.3 Graphing Using Intercepts

10.4 Slope-Intercept Form

10.5 Point-Slope Form

10.6 Graphing Linear Inequalities

10.7 Introduction to Functions and Function Notation

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

11.1 Solving Systems of Linear Equations Graphically

11.2 Solving Systems of Linear Equations by Substitution; Application

11.3 Solving Systems of Linear Equations by Elimination; Applications

11.4 Solving Systems of Linear Equations in Three Variables; Applications

11.5 Solving Systems of Linear Equations Using Matrices

11.6 Solving Systems of Linear Inequalities

**12. Polynomials**

12.1 Exponents and Scientific Notations

12.2 Introduction to Polynomials

12.3 Adding and Subtracting Polynomials

12.4 Exponent Rules and Multiplying Monomials

12.5 Multiplying Polynomials; Special Products

12.6 Exponent Rules and Dividing Polynomials

**13. Factoring**

13.1 Greatest Common Factor and Factoring by Grouping

13.2 Factoring Trinomials of the form *x*^{2}+bx+c

13.3 Factoring Trinomials of the form *ax*^{2}+bx+c, where a≠1

13.4 Factoring Special Products

13.5 Strategies for Factoring

13.6 Solving Quadratic Equations by Factoring

13.7 Graphs of Quadratic Equations and Functions

**14. Rational Expressions and Equations**

14.1 Simplifying Rational Expressions

14.2 Multiplying and Dividing Rational Expressions

14.3 Adding and Subtracting Rational Expressions with the Same Denominator

14.4 Adding and Subtracting Rational Expressions with Different Denominators

14.5 Complex Rational Expressions

14.6 Solving Equations Containing Rational Expressions

14.7 Applications with Rational Expressions, Including Variation

**15. Rational Exponents, Radicals, and Complex Numbers**

15.1 Radical Expressions and Functions

15.2 Rational Exponents

15.3 Multiplying, Dividing, and Simplifying Radicals

15.4 Adding, Subtracting, and Multiplying Radical Expressions

15.5 Rationalizing Numerators and Denominators of Radical Expressions

15.6 Radical Equations and Problem Solving

15.7 Complex Numbers

**16. Quadratic Equations and Functions**

16.1 The Square Root Principle and Completing the Square

16.2 Solving Quadratic Equations using the Quadratic Formula

16.3 Solving Equations the are Quadratic in Form

16.4 Graphing Quadratic Functions

16.5 Solving Nonlinear Inequalities

16.6 Function Operations

**17. Exponential and Logarithmic Functions**

17.1 Composite and Inverse Functions

17.2 Exponential Functions

17.3 Logarithmic Functions

17.4 Properties of Logarithms

17.5 Common and Natural Logarithms

17.6 Exponential and Logarithmic Equations with Applications

**18. Conic Sections**

18.1 Parabolas and Circles

18.2 Ellipses and Hyperbolas

18.3 Nonlinear Systems of Equations

18.4 Nonlinear Inequalities and Systems of Inequalities