1. Expressions, Equations, and Functions

    1. Variable Expressions
    2. Expressions with One or More Variables
    3. PEMDAS
    4. Algebra Expressions with Fraction Bars
    5. Patterns and Expressions
    6. Words that Describe Patterns
    7. Equations that Describe Patterns
    8. Inequalities that Describe Patterns
    9. Function Notation
    10. Domain and Range of a Function
    11. Functions that Describe Situations
    12. Functions on a Cartesian Plane
    13. Vertical Line Test
    14. Problem-Solving Models
    15. Trends in Data

  2. Properties of Real Numbers

    1. Properties of Rational Numbers
    2. Additive Inverses and Absolute Values
    3. Addition of Integers
    4. Addition of Rational Numbers
    5. Subtraction of Rational Numbers
    6. Multiplication of Rational Numbers
    7. Mixed Numbers in Applications
    8. Expressions and the Distributive Property
    9. When to Use the Distributive Property
    10. Division of Rational Numbers
    11. Applications of Reciprocals
    12. Square Roots and Irrational Numbers
    13. Order of Real Numbers
    14. Guess and Check, Work Backward

  3. Linear Equations

    1. One-Step Equations and Inverse Operations
    2. Applications of One-Step Equations
    3. Two-Step Equations and Properties of Equality
    4. Multi-Step Equations with Like Terms
    5. Distributive Property for Multi-Step Equations
    6. Equations with Variables on Both Sides
    7. Equations with Ratios and Proportions
    8. Scale and Indirect Measurement Applications
    9. Conversion of Decimals, Fractions, and Percent
    10. Percent Equations
    11. Percent of Change
    12. Formulas for Problem Solving

  4. Graphs of Linear Equations and Functions

    1. Graphs in the Coordinate Plane
    2. Graphs of Linear Equations
    3. Horizontal and Vertical Line Graphs
    4. Applications of Linear Graphs
    5. Intercepts by Substitution
    6. Intercepts and the Cover-Up Method
    7. Slope
    8. Rates of Change
    9. Slope-Intercept Form
    10. Graphs Using Slope-Intercept Form
    11. Direct Variation
    12. Applications Using Direct Variation
    13. Function Notation and Linear Functions
    14. Graphs of Linear Functions
    15. Problem Solving with Linear Graphs

  5. Forms of Linear Equations

    1. Write an Equation Given the Slope and a Point
    2. Write an Equation Given Two Points
    3. Write a Function in Slope-Intercept Form
    4. Linear Equations in Point-Slope Form
    5. Forms of Linear Equations
    6. Applications Using Linear Models
    7. Equations of Parallel Lines
    8. Equations of Perpendicular Lines
    9. Families of Lines
    10. Fitting Lines to Data
    11. Linear Interpolation and Extrapolation
    12. Problem Solving with Linear Models
    13. Dimensional Analysis

  6. Linear Inequalities and Absolute Value

    1. Inequality Expressions
    2. Inequalities with Addition and Subtraction
    3. Inequalities with Multiplication and Division
    4. Multi-Step Inequalities
    5. Compound Inequalities
    6. Applications with Inequalities
    7. Absolute Value
    8. Absolute Value Equations
    9. Graphs of Absolute Value Equations
    10. Absolute Value Inequalities
    11. Linear Inequalities in Two Variables
    12. Theoretical and Experimental Probability

  7. Systems of Equations and Inequalities

    1. Graphs of Linear Systems
    2. Systems Using Substitution
    3. Mixture Problems
    4. Linear Systems with Addition or Subtraction
    5. Linear Systems with Multiplication
    6. Consistent and Inconsistent Linear Systems
    7. Linear Programming
    8. Probability and Permutations
    9. Probability and Combinations

  8. Exponents and Exponential Functions

    1. Exponential Properties Involving Products
    2. Exponential Properties Involving Quotients
    3. Negative Exponents
    4. Fractional Exponents
    5. Scientific Notation
    6. Scientific Notation with a Calculator
    7. Exponential Growth
    8. Exponential Decay
    9. Geometric Sequences and Exponential Functions
    10. Applications of Exponential Functions

  9. Polynomials and Factoring

    1. Polynomials in Standard Form
    2. Addition and Subtraction of Polynomials
    3. Multiplication of Monomials by Polynomials
    4. Multiplication of Polynomials by Binomials
    5. Special Products of Polynomials
    6. Monomial Factors of Polynomials
    7. Zero Product Principle
    8. Factorization of Quadratic Expressions
    9. Factor Polynomials Using Special Products
    10. Factoring by Grouping
    11. Factoring Completely
    12. Probability of Compound Events

  10. Quadratic Equations and Functions

    1. Quadratic Functions and Their Graphs
    2. Vertical Shifts of Quadratic Functions
    3. Use Graphs to Solve Quadratic Equations
    4. Use Square Roots to Solve Quadratic Equations
    5. Completing the Square
    6. Vertex Form of a Quadratic Equation
    7. Quadratic Formula
    8. Comparing Methods for Solving Quadratics
    9. Solutions Using the Discriminant
    10. Linear, Exponential, and Quadratic Models
    11. Applications of Function Models

  11. Radicals and Geometry Connections

    1. Graphs of Square Root Functions
    2. Simplification of Radical Expressions
    3. Addition and Subtraction of Radicals
    4. Multiplication and Division of Radicals
    5. Radical Equations
    6. Pythagorean Theorem and its Converse
    7. Distance Formula
    8. Midpoint Formula
    9. Measures of Central Tendency and Dispersion
    10. Stem-and-Leaf Plots
    11. Box-and-Whisker Plots

  12. Rational Equations and Functions

    1. Inverse Variation Models
    2. Graphs of Rational Functions
    3. Division of Polynomials
    4. Excluded Values for Rational Expressions
    5. Multiplication of Rational Expressions
    6. Division of Rational Expressions
    7. Addition and Subtraction of Rational Expressions
    8. Rational Equations Using Proportions
    9. Clearing Denominators in Rational Equations
    10. Surveys and Samples