Prealgebra and Introductory Algebra

1.1 Introduction to Whole Numbers

1.2 Addition and Subtraction with Whole Numbers

1.3 Multiplication and Division with Whole Numbers

1.4 Problem Solving with Whole Numbers

1.5 Solving Equations with Whole Numbers (x + b = c and ax = c)

1.6 Exponents and Order of Operations

1.7 Introduction to Polynomials I

1.8 Introduction to Integers

1.9 Addition with Integers

1.10 Subtraction with Integers

1.11 Multiplication and Division with Integers, Order of Operations

1.12 Applications: Change in Value and Mean

1.13 Introduction to Like Terms and Polynomials

1.14 Solving Equations with Integers (x + b = c and ax = c)

2.1 Tests for Divisibility

2.2 Prime Numbers

2.3 Prime Factorization

2.4 Least Common Multiple (LCM)

2.5 Reducing and Multiplication with Fractions

2.6 Division with Fractions

2.7 Addition and Subtraction with Fractions

2.8 Introduction to Mixed Numbers

2.9 Multiplication and Division with Mixed Numbers

2.10 Addition and Subtraction with Mixed Numbers

2.11 Complex Fractions and Order of Operations

2.12 Solving Equations with Fractions (ax + b = c)

2.13a Ratios and Price per Unit

2.13b Proportions

2.13c Finding the Unknown Term in a Proportion

3.1 Reading, Writing, and Rounding Decimal Numbers

3.2 Addition and Subtraction with Decimal Numbers

3.3 Multiplication and Division with Decimal Numbers

3.4 Measures of Center

3.5 Decimals, Fractions, and Scientific Notation

3.6 Basics of Percent

3.7 Applications of Percent

3.8 Simple and Compound Interest

3.9 Square Roots

4.1a Metric System: Length and Area

4.1b Metric System: Weight and Volume

4.2 U.S. Customary Measurements and Metric Equivalents

4.3 Introduction to Geometry

4.4 Formulas for Perimeter

4.5 Formulas for Area

4.6 Formulas for Volume

4.7 Similarity

4.8 The Pythagorean Theorem

4.9 Reading Graphs

5.1a Variables and Algebraic Expressions

5.1b Simplifying Expressions

5.1c Evaluating Algebraic Expressions

5.2 Translating English Phrases and Algebraic Expressions

5.3a Solving Linear Equations Using Addition and Subtraction

5.3b Solving Linear Equations Using Multiplication and Division

5.4 Solving Linear Equations: ax + b = c

5.5 Solving Linear Equations: ax + b = cx + d

5.6 Introduction to Problem Solving

5.7 Applications with Percent

5.8 Working with Formulas

5.9 Applications: Distance-Rate-Time, Interest, Mean

6.1 The Cartesian Coordinate System

6.2 Graphing Linear Equations in Two Variables: ax + by = c

6.3 The Slope - Intercept Form: y = mx + b

6.4a Finding the Equation of a Line

6.4b Graphing Linear Equations in Point - Slope Form

6.5a Solving Linear Inequalities

6.5b Graphing Linear Inequalities

6.6 Introduction to Functions and Function Notation

7.1a Simplifying Integer Exponents I

7.1b Simplifying Integer Exponents II

7.2 Introduction to Polynomials II

7.3 Addition and Subtraction with Polynomials

7.4 Multiplication with Polynomials

7.5a The FOIL Method

7.5b Special Products

7.6a Division by a Monomial

7.6b Greatest Common Factor of Two or More Terms

7.6c Greatest Common Factor of a Polynomial

7.6d Factoring Expressions by Grouping

7.7 Factoring Trinomials: x^2 + bx + c

7.8a Factoring Trinomials by Trial and Error

7.8b Factoring Trinomials by Grouping

7.9a Special Factorizations - Squares

7.9b Special Factorizations - Cubes

7.10 Solving Quadratic Equations by Factoring

7.11 Applications of Quadratic Equations

8.1 Systems of Equations: Solutions by Graphing

8.2 Systems of Equations: Solutions by Substitution

8.3 Systems of Equations: Solutions by Addition

8.4 Applications: Distance - Rate - Time, Number Problems, Amounts and Costs

8.5 Applications: Interest and Mixture

8.6 Systems of Linear Equations: Three Variables

8.7 Matrices and Gaussian Elimination

8.8 Systems of Linear Inequalities

9.1 Evaluating Radicals

9.2 Simplifying Radicals

9.3 Rational Exponents

9.4a Addition and Subtraction with Radicals

9.4b Multiplication with Radicals

9.4c Rationalizing Denominators

9.5 Solving Radical Equations

9.6 Functions with Radicals

10.1 Algebra of Functions

10.2 Composite and Inverse Functions

10.3 Exponential Functions

10.4 Logarithmic Functions

10.5 Properties of Logarithms

10.6 Common Logarithms and Natural Logarithms

10.7 Exponential and Logarithmic Equations

11.1a Defining Rational Expressions

11.1b Multiplication and Division with Rational Expressions

11.2 Addition and Subtraction with Rational Expressions

11.3 Complex Fractions

11.4 Solving Equations with Rational Expressions

11.5 Applications: Rational Expressions

11.6 Applications: Variation

11.7a The Division Algorithm

11.7b Synthetic Division

12.1a Complex Numbers

12.1b Multiplication and Division with Complex Numbers

12.2a Quadratic Equations: The Square Root Method

12.2b Quadratic Equations: Completing the Square

12.3 Quadratic Equations: The Quadratic Formula

12.4 Applications: Quadratic Equations

12.5 Graphing Parabolas