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Prime Factorization Least Common Multiples Greatest Common Factors Real Numbers Adding & Subtracting Integers Multiplying & Dividing Integers Adding & Subtracting Rational Numbers Multiplying & Dividing Rational Numbers The Percent Proportions Perimeter Area Volume Surface Area Simple Probability and Odds Mean, Median, Mode, Range and Quartiles Representing Data |
1. Expressions, Equations, and Functions
Variables and Expressions
Order of Operations
Properties of Numbers
The Distributive Property
Equations
Relations
Functions
Logical Reasoning and Counterexamples
Writing Equations
Solving One-Step Equations
Solving Multi-Step Equations
Solving Equations with the Variable on Each Side
Solving Equations Involving Absolute Value
Ratios and Proportions
Percent of Change
Literal Equations and Dimensional Analysis
Weighted Averages
Graphing Linear Equations
Solving Linear Equations by Graphing
Rates of Change and Slope
Direct Variation
Arithmetic Sequences as Linear Functions
Proportional and Nonproportional Relationships
4. Linear Functions and Relations
Graphing Equations in Slope-Intercept Form
Writing Equations in Slope-Intercept Form
Writing Equations in Point-Slope Form
Parallel and Perpendicular Lines
Scatter Plots and Lines of Fit
Regression and Median-fit Lines
Special Functions
Solving Inequalities by Addition and Subtraction
Solving Inequalities by Multiplication and Division
Solving Multi-Step Inequalities
Solving Compound Inequalities
Inequalities Involving Absolute Value
Graphing Inequalities in Two Variables
6. Systems of Linear Equations and Inequalities
Solving Systems of Equations by Graphing
Solving Systems of Equations by Substitution
Solving Systems of Equations by Elimination
Applying Systems of Linear Functions
Systems of Inequalities
7. Polynomials
Multiplying Monomials
Dividing Monomials
Scientific Notation
Polynomials
Adding and Subtracting Polynomials
Multiplying a Polynomial by a Monomial
Multiplying Polynomials
Special Products
8. Factoring and Quadratic Equations
Monomials and Factoring
Using the Distributive Property
Quadratic Equations: x2 + bx + c
Quadratic Equations: ax2 + bx + c
Quadratic Equations: Difference of Squares
Quadratic Equations: Perfect Squares
9. Quadratic and Exponential Functions
Graphing Quadratic Functions
Solving Quadratic Equations by Graphing
Transformations of Quadratic Functions
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Using the Quadratic Formula
Exponential Functions
Growth and Decay
Geometric Sequences as Exponential Functions
Analyzing Functions with Successive Difference and Ratios
10. Radical Functions and Geometry
Square Root Functions
Simplifying Radical Expressions
Operations with Radical Expressions
Radical Equations
The Pythagorean Theorem
The Distance and Midpoint Formulas
Similar Triangles
Trigonometric Ratios
11. Rational Functions and Equations
Inverse Variation
Rational Functions
Simplifying Rational Expressions
Multiplying and Dividing Polynomials
Adding and Subtracting Rational Expressions
Mixed Expressions and Complex Fractions
Rational Equations