The Commutative, Associative, and Distributive Laws
Fraction Notation
Positive and Negative Real Numbers
Addition of Real Numbers
Subtraction of Real Numbers
Multiplication and Division of Real Numbers
Exponential Notation and Order of Operations
Equations, Inequalities, and Problem Solving
Solving Equations
Using the Principles Together
Formulas
Applications with Percent
Problem Solving
Solving Inequalities
Solving Applications with Inequalities
Graphs and Linear Equations
Reading Graphs, Plotting Points, and Estimating Values
Graphing Equations
Solving Equations by Graphing
Graphing and Intercepts
Rates and Models
Slope
Slope-Intercept Form
Point-Slope Form
Systems of Equations and Problem Solving
Systems of Equations and Graphing
Systems of Equations and Substitution
Systems of Equations and Elimination
More Applications Using Systems
Linear Inequalities in Two Variables
Systems of Linear Inequalities
Polynomials
Exponents and Their Properties
Polynomials
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Special Products
Polynomials in Several Variables
Division of Polynomials
Negative Exponents and Scientific Notation
Polynomials and Factoring
Introduction to Factoring
Factoring Trinomials of the Type x sup2; + bx + c
Factoring Trinomials of the Type axsup2; + bx + c
Factoring Perfect-Square Trinomials and Differences of Squares
Factoring: A General Strategy
Solving Quadratic Equations by Factoring
Solving Applications
Rational Expressions and Equations
Rational Expressions
Multiplication and Division
Addition, Subtraction, and Least Common Denominators
Addition and Subtraction with Unlike Denominators
Complex Rational Expressions
Solving Rational Equations
Applications Using Rational Equations and Proportions
Direct and Inverse Variation
Radical Expressions and Equations
Introduction to Square Roots and Radical Expressions
Multiplying and Simplifying Radical Expressions
Quotients Involving Square Roots
Radical Expressions with Several Terms
Radical Equations
Applications Using Right Triangles
Higher Roots and Rational Exponents
Quadratic Equations
Solving Quadratic Equations: The Principle of Square Roots
Solving Quadratic Equations: Completing the Square
The Quadratic Formula and Applications
Formulas and Equations
Complex Numbers as Solutions of Quadratic Equations
Graphs of Quadratic Equations
Functions
Sets
Factoring Sums or Differences of Cubes
Fractional and Decimal Equivalents
Squares and Square Roots
Geometric Formulas
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