1-1: Variables and Expressions
1-2: Order of Operations and Evaluating Expressions
- Simplifying Expressions with the Order of Operations
1-3: Real Numbers and the Number Line
1-4: Properties of Real Numbers
1-5: Adding and Subtracting Real Numbers
1-6: Multiplying and Dividing Real Numbers
1-7: The Distributive Property
1-8: An Introduction to Equations
1-9: Patterns, Equations, and Graphs
2-1: Solving One-Step Equations
2-2: Solving Two-Step Equations
2-3: Solving Multi-Step Equations
2-4: Solving Equations With Variables on Both Sides
- Solving Equations with Variables on Both Sides of the Equation
- Identifying Equations that have no Solution
2-5: Literal Equations and Formulas
2-6: Ratios, Rates, and Conversions
2-7: Solving Proportions
2-8: Proportions and Similar Figures
2-9: Percents
2-10: Change Expressed as a Percent
3-1: Inequalities and Their Graphs
3-2: Solving Inequalities Using Addition and Subtraction
3-3: Solving Inequalities Using Multiplication and Division
3-4: Solving Multi-Step Inequalities
3-5: Working With Sets
3-6: Compound Inequalities
3-7: Absolute Value Equations and Inequalities
3-8: Unions and Intersections of Sets
4-1: Using Graphs to Relate Two Quantities
4-2: Patterns and Linear Functions
4-3: Patterns and Nonlinear Functions
4-4: Graphing a Function Rule
4-5: Writing a Function Rule
4-6: Formalizing Relations and Functions
4-7: Arithmetic Sequences
5-1: Rate of Change and Slope
5-2: Direct Variation
5-3: Slope-Intercept Form
5-4: Point-Slope Form
5-5: Standard Form
5-6: Parallel and Perpendicular Lines
- Determining Whether Lines are Parallel, Perpendicular, or Neither
- Writing Equations of Parallel and Perpendicular Lines
5-7: Scatter Plots and Trend Lines
5-8: Graphing Absolute Value Functions
6-1: Solving Systems by Graphing
6-2: Solving Systems Using Substitution
6-3: Solving Systems Using Elimination
6-4: Applications of Linear Systems
6-5: Linear Inequalities
6-6: Systems of Linear Inequalities
7-1: Zero and Negative Exponents
7-2: Multiplying Powers With the Same Base
7-3: More Multiplication Properties of Exponents
7-4: Division Properties of Exponents
7-5: Rational Exponents and Radicals
7-6: Exponential Functions
7-7: Exponential Growth and Decay
7-8: Geometric Sequences
8-1: Adding and Subtracting Polynomials
8-2: Multiplying and Factoring
8-3: Multiplying Binomials
8-4: Multiplying Special Cases
8-5: Factoring x^2 + bx +c
8-6: Factoring ax^2 + bx + c
8-7: Factoring Special Cases
8-8: Factoring by Grouping
9-1: Quadratic Graphs and Their Properties
9-2: Quadratic Functions
9-3: Solving Quadratic Equations
9-4: Factoring to Solve Quadratic Equations
9-5: Completing the Square
9-6: The Quadratic Formula and the Discriminant
- Solving Quadratic Equations using the Quadratic Formula
- Finding the Number of Solutions of a Quadratic Equation
9-7: Linear, Quadratic, and Exponential Models
9-8: Systems of Linear and Quadratic Equations
10-1: Pythagorean Theorem
10-2: Simplifying Radicals
10-3: Operations With Radical Expressions
- Simplifying Sums and Differences of Radical Expressions
- Simplifying Products and Quotients of Radical Expressions
10-4: Solving Radical Equations
10-5: Graphing Square Root Functions
- Graphing Square Root Functions
- Translating Graphs of Square Root Functions
10-6: Trigonometric Ratios
11-1: Simplifying Rational Expressions
11-2: Multiplying and Dividing Rational Expressions
11-3: Dividing Polynomials
11-4: Adding and Subtracting Rational Expressions
11-5: Solving Rational Equations
11-6: Inverse Variation
11-7: Graphing Rational Functions
12-1: Organizing Data Using Matrices
- Making and Interpreting Fequency Tables and Histograms
- Adding and Substracting Matrices
- Multiplying a Matrix by a Scalar