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- Introduction to Variables
- Algebraic Expressions and Equations
- Writing Algebraic Expressions and Equations
- Exponents Defined
- Order of Operations
- Evaluating Expressions
- Real Numbers
- Venn Diagram of Real Numbers
- Introduction to Inequalities
- Comparing Two Fractions
- Absolute Value of a Number
- Coordinate Plane Overview
- Midpoint Formula
- Scatter Plot and Correlation
- Measures of Central Tendency (Mean, Median, and Mode)
- Stem-and-Leaf Plots

- Additive Identity and Additive Inverse Properties
- Adding Integers with the Same Sign
- Adding Integers with Different Signs
- Subtracting Integers
- Multiplicative Identity and Multiplicative Inverse
- The Reciprocal of a Number
- Multiplicative Properties of 0 and -1
- Multiplying and Dividing Integers
- Distributive Property
- Combining Like Terms
- Reflexive, Symmetric, Transitive, and Substitution Properties
- Commutative and Associative Properties

- Properties of Equality
- Solving One-Step Equations with Addition and Subtraction
- Solving One-Step Equations with Multiplication and Division
- Dividing by a Fraction or Multiplying by the Reciprocal
- Solving Two-Step Equations
- Solving Multi-Step Equations
- Solving Equations with Variables on Both Sides
- Solving Equations with Fractions
- Solving Equations with Decimals
- Identity Statements and No Solution Statements
- Solving Travel Problems
- Solving Word Problems
- Solving Equations and Formulas for Different Variables
- Consecutive Integer Problems
- Solving Mixture Problems

- Introduction to Inequalities
- Solving One-Step Inequalities with Addition and Subtraction
- Solving One-Step Inequalities with Multiplication and Division
- Solving Mult-Step Inequalities
- Solving Compound Inequalities Involving And
- Solving Compound Inequalities Involving Or
- Solving Absolute Value Equations
- Solving Absolute Value Inequalities
- Determining the Absolute Value Inequality from Graph

- The Coordinate Plane
- Relations
- Relations as Functions - Vertical Line Test
- Function Notation and Evaluating Functions
- Finding the Range of Functions Given Domain Values
- Graphing Functions by Plotting Points (Line, Absolute Value, Quadratic)
- Determining the Equation (Function Rule) of a Function
- Direct Variation
- Inverse Variation
- Combining Direct and Inverse Variation

- Rate of Change and Slope of a Line
- Finding the Slope between Two Points
- Writing Linear Equations in Slope-Intercept Form
- Graphing Linear Equations in Slope-Intercept Form
- Writing Linear Equations in Point-Slope Form
- Graphing Linear Equations in Point-Slope Form
- Standard Form of a Line
- Graphing Linear Equations in Standard Form
- Determining the Equations of Horizontal and Vertical Lines
- Graphing Horizontal and Vertical Lines
- Determining the Equation of a Line Given Two Points
- Parallel and Perpendicular Lines
- Scatter Plots and Lines of Best Fit
- Graphing Absolute Value Equations Using Translations
- Graphing Absolute Value Equations with a?1
- Graphing Absolute Value Equations

- Solving a System of Equations by Graphing
- Solving a System of Equations by Substitution
- Solving a System of Equations by Elimination
- Solving a System by Elimination by Multiplying First
- Solving Mixture Problems Using a System of Equations
- Solving Word Problems with a System of Equations
- Graphing Linear Inequalitites
- Solving a System of Linear Inequalities
- Writing a System of Linear Inequalities for a Graph

- Zero and Negative Exponents Property
- Product of Powers (Multiplying Like Bases)
- Quotient of Powers (Dividing Like Bases)
- Powers of a Power (Raising a Power to a Power)
- Powers of a Product (Raising a Product to a Power)
- Powers of a Quotient (Raising a Quotient to a Power)
- Scientific Notation Exponential Problems
- Exponential Functions
- Graphing Exponential Functions
- Graphing Exponential Functions Using Translations
- Exponential Growth
- Compound Interest
- Exponential Decay

- Factors and Prime Factorization of Numbers
- Finding the GCF Using Prime Factorization
- Factoring out the GCF
- Factoring by Grouping
- Factoring Trinomials in the form x2 ± bx + c
- Factoring Trinomials in the form x2 ± bx - c
- Factoring Trinomials (ax2 ± bx + c)
- Factoring Trinomials (ax2 ± bx - c)
- Factoring Trinomials in the form ax2 + bxy + cy2
- Factoring the Difference of Two Perfect Squares
- Factoring Polynomials Completely
- Perfect Square Trinomials (a = 1)
- Perfect Square Trinomials (a ? 1)

- Quadratic Equations Introduction
- Introduction to Graphing Quadratic Functions
- Finding the Vertex and Axis of Symmetry for a Quadratic Function
- Graphing Quadratic Functions
- The Zeros and Roots of a Quadratic Function
- Solving Quadratics by Taking the Square Root
- Solving Quadratic Equations by Factoring (Zero Product Rule)
- Solving Quadratic Equations by Using the Quadratic Formula
- The Discriminant
- Completing the Square by Creating a Perfect Square Trinomial
- Solving Quadratic Equations by Completing the Square
- Graphing Quadratic Fuctions Using Translations
- Graphing Quadratic Functions with a ? 1
- Graphing Quadratic Functions
- Graphing Quadratic Inequalities

- Simplifying Rational Expressions - Opposite Factors
- Excluded Values of Rational Expressions
- Multiplying Rational Expressions
- Dividing Rational Expressions
- Dividing Polynomials Using Distributive Property
- Dividing Polynomials Using Long Division
- Adding and Subtracting Rational Expressions with Like Denominators
- Finding the LCD of Rational Expressions
- Adding and Subtracting Rational Expressions with Unlike Denominators
- Solving Rational Equations
- Graphing Rational Functions Using Horizontal and Vertical Asymptotes

- Simplifying Radical (Square Root) Expressions (Product Property)
- Multiplying Radical (Square Root) Expressions
- Dividing Radical (Square Root) Expressions (Quotient Property)
- Rationalizing the Denominator and Conjugate Pairs
- Adding and Subtracting Radicals (Square Roots)
- Distributing and FOILing with Radicals (Square Roots)
- Solving Radical (Square Root) Equations
- Solving Radical (Square Root) Equations with Radicals on Both Sides
- Finding the Domain of Radical (Square Root) Functions
- Graphing Radical (Square Root) Functions Using Translations
- Graphing Radical (Square Root) Functions with a ? 1
- Graphing Radical (Square Root) Functions
- Distance Formula
- Pythagorean Theorem