Natural Numbers, Whole Numbers, and Integers
Rational, Irrational, and Real Numbers
Properties of the Real Numbers
2 Computation with Real Numbers
Comparing Numbers and Absolute Value
Addition and Subtraction of Signed Numbers
Multiplication and Division of Signed Numbers
Squares, Square Roots, and Perfect Squares
Zero and Negative Integer Exponents
Unit Fraction and Rational Exponents
Evaluating Algebraic Expressions
8 Adding and Subtracting Polynomials
Addition and Subtraction of Monomials
Addition and Subtraction of Polynomials
Multiplying Polynomials by Monomials
10 Simplifying Polynomial Expressions
Identifying Polynomial Expressions
Simplifying Polynomial Expressions
Dividing a Polynomial by a Monomial
Dividing a Polynomial by a Polynomial
GCF with a Negative Coefficient
Factoring Quadratic Trinomials
Factoring Perfect Trinomial Squares
Reducing Algebraic Fractions to Lowest Terms
Multiplying Algebraic Fractions
Adding (or Subtracting) Algebraic Fractions, Like Denominators
Adding (or Subtracting) Algebraic Fractions, Unlike Denominators
14 Solving Linear Equations and Inequalities
Solving One-Variable Linear Equations
Solving Two-Variable Linear Equations for a Specific Variable
Solving One-Variable Linear Inequalities
15 Solving Quadratic Equations
Solving Quadratic Equations of the Form ax2 + c = 0
Solving Quadratic Equations by Factoring
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Using the Quadratic Formula
16 The Cartesian Coordinate Plane
Finding the Distance Between Two Points in the Plane
Finding the Midpoint Between Two Points in the Plane
Finding the Slope of a Line Through Two Points in the Plane
Slopes of Parallel and Perpendicular Lines
Graphing a Linear Equation That Is in Standard Form
Graphing a Linear Equation That Is in Slope-y-Intercept Form
Determining the Equation of a Line Given the Slope and y-Intercept
Determining the Equation of a Line Given the Slope and One Point on the Line
Determining the Equation of a Line Given Two Distinct Points on the Line
Solutions to a System of Equations
Solving a System of Equations by Substitution
Solving a System of Equations by Elimination
Solving a System of Equations by Graphing
Common Signal Words and Phrases for Addition
Common Signal Words and Phrases for Subtraction
Common Signal Words and Phrases for Multiplication
Common Signal Words and Phrases for Division
Common Signal Words and Phrases for Equality
Algebraic Problem-Solving Process