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Factors, Products, and Exponents

The Language of Algebra

Variables and Expressions
Order of Operations
Open Sentences
Identity and Equality Properties
The Distributive Property
The Commutative and Associative Properties
Logical Reasoning
Graphs and Functions
Statistics: Analyzing Data by Using Tables and Graphs

Real Numbers

Rational Numbers on the Number Line
Adding and Subtracting Rational Numbers
Multiplying Rational Numbers
Dividing Rational Numbers
Statistics: Displaying and Analyzing Data
Probability: Simple Probability and Odds
Square Roots and Real Numbers

Solving Linear Equations

Writing Equations
Solving Equations by Using Addition and Subtraction
Solving Equations by Using Multiplication and Division
Solving Multi-Step Equations
Solving Equations with Variables on Each Side
Ratios and Proportions
Percent of Change
Solving Equations and Formulas
Weighted Averages

Graphing Relations and Functions

The Coordinate Plane
Transformations on the Coordinate Plane
Relations
Equations as Relations
Graphing Linear Equations
Functions
Arithmetic Sequences
Writing Equations from Patterns

Analyzing Linear Equations

Slope
Slope and Direct Variation
Slope Intercept Form
Writing Equations in Slope-Intercept Form
Writing Equations in Point-Slope Form
Geometry: Parallel and Perpendicular Lines
Statistics: Scatter Plots and Lines of Fit

Solving Linear Inequalities

Solving Inequalities By Addition and Subtraction
Solving Inequalities By Multiplication and Division
Solving Multi-Step Inequalities
Solving Compound Inequalities
Solving Open Sentences Involving Absolute Value
Graphing Inequalities in Two Variables

Solving Systems of Linear Equations and Inequalities

Graphing Systems of Equations
Substitution
Elimanation Using Addition and Subraction
Elimination Using Multiplication
Graphing Systems of Inequalities

Polynomials

Multiplying Monomials
Dividing Monomials
Scientific Notation
Polynomials
Adding and Subtracting Polynomials
Multiplying a Polynomial by a Monomial
Multiplying Polynomials
Special Products

Factors and Greatest Common Factors
Factoring Using the Distributive Property
Factoring Trinomials {$ x^2+bx+c $}
Factoring Trinomials {$ ax^2+bx+c $}
Factoring Differences of Squares
Perfect Squares and Factoring

Quadratic and Exponential Functions

Graphing Quadratic Functions
Solving Quadratic Functions By Graphing
Solving Quadratic Functions by Completing the Square
Solving Quadratic Functions by using the Quadratic Formula
Exponential Functions
Growth and Decay
Geometric Sequences

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