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
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
3.1Reading, Writing, and Rounding Decimal Numbers
3.2Addition and Subtraction with Decimal Numbers
3.3Multiplication and Division with Decimal Numbers
3.4Measures of Center
3.5Decimals, Fractions, and Scientific Notation
3.6Basics of Percent
3.7Applications of Percent
3.8Simple and Compound Interest
3.9Square 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
7.1c Scientific Notation
7.2 Introduction to Polynomials
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
8.1Systems of Equations: Solutions by Graphing
8.2Systems of Equations: Solutions by Substitution
8.3Systems of Equations: Solutions by Addition
8.4Applications: Distance - Rate - Time, Number Problems, Amounts and Costs
8.5Applications: Interest and Mixture
8.6Systems of Linear Equations: Three Variables
8.7Matrices and Gaussian Elimination
8.8Systems 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