1-1: Variables and Expressions
1-2: Order of Operations
- Simplifying Expressions with the Order of Operations
1-3: Open Sentences
1-4: Identity and Equality Properties
1-5: The Distributive Property
1-6: Commutative and Associative Properties
1-7: Logical Reasoning and Counterexamples
1-8: Number Systems
1-9: Functions and Graphs
2-1: Writing Equations
2-2: Solving Equations by Using Addition and Subtraction
2-3: Solving Equations by Using Multiplication and Division
2-4: Solving Multi-Step Equations
2-5: Solving Equations with the Variable on Each Side
- Solving Equations with Variables on Both Sides of the Equation
- Identifying Equations that have no Solution
2-6: Ratios and Proportions
2-7: Percent of Change
2-8: Solving Equations and Formulas
2-9: Weighted Averages
3-1: Representing Relations
3-2: Representing Functions
3-3: Linear Functions
3-4: Arithmetic Sequences
3-5: Proportional and Nonproportional Relationships
4-1: Rate of Change and Slope
4-2: Slope and Direct Variation
4-3: Graphing Equations in Slope-Intercept Form
4-4: Writing Equations in Slope-Intercept Form
4-5: Writing Equations in Point-Slope Form
4-6: Statistics: Scatter Plots and Lines of Fit
4-7: Geometry: Parallel and Perpendicular Lines
- Determining Whether Lines are Parallel, Perpendicular, or Neither
- Writing Equations of Parallel and Perpendicular Lines
5-1: Graphing Systems of Equations
5-2: Substitution
5-3: Elimination Using Addition and Subtraction
5-4: Elimination Using Multiplication
5-5: Applying Systems of Linear Equations
6-1: Solving Inequalities by Addition and Subtraction
6-2: Solving Inequalities by Multiplication and Division
6-3: Solving Multi-Step Inequalities
6-4: Solving Compound Inequalities
6-5: Solving Open Sentences Involving Absolute Value
6-6: Solving Inequalities Involving Absolute Value
6-7: Graphing Inequalities in Two Variables
6-8: Graphing Systems of Inequalities
7-1: Multiplying Monomials
7-2: Dividing Monomials
7-3: Polynomials
7-4: Adding and Subtracting Polynomials
7-5: Multiplying a Polynomial by a Monomial
7-6: Multiplying Polynomials
7-7: Special Products
8-1: Monomials and Factoring
8-2: Factoring Using the Distributive Property
8-3: Factoring Trinomials x2 + bx + c
8-4: Factoring Trinomials ax2 + bx + c
8-5: Factoring Differences of Squares
8-6: Perfect Squares and Factoring
9-1: Graphing Quadratic Functions
9-2: Solving Quadratic Equations by Graphing
- Graphing a Quadratic Function of the Form ax2 and ax2+c
- Graphing Quadratic Functions of the Form ax2+bx+c
9-3: Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
9-4: Solving Quadratic Equations by Using the Quadratic Formula
- Solving Quadratic Equations using the Quadratic Formula
- Finding the Number of Solutions of a Quadratic Equation
9-5: Exponential Functions
9-6: Growth and Decay
10-1: Simplifying Radical Expressions
10-2: Operations with Radical Expressions
- Simplifying Sums and Differences of Radical Expressions
- Simplifying Products and Quotients of Radical Expressions
10-3: Radical Equations
10-4: The Pythagorean Theorem
10-5: The Distance Formula
10-6: Similar Triangles
11-1: Inverse Variation
11-2: Rational Expressions
11-3: Multiplying Rational Expressions
11-4: Dividing Rational Expressions
11-5: Dividing Polynomials
11-6: Rational Expressions with Like Denominators
11-7: Rational Expressions with Unlike Denominators
11-8: Mixed Expressions and Complex Fractions
11-9: Solving Rational Equations
Solving Rational Equations and Proportions
12-1: Sampling and Bias
12-2: Counting Outcomes
12-3: Permutations and Combinations
Finding Theoretical and Experimental Probabilities
12-4: Probability of Compound Events
- Finding Probabilities of Mutually Exclusive Events
- Finding Probabilities of Independent and Dependent Events