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Elementary Algebra-- Table of Contents
Chapter 1: A Review of Beginning Algebra
Preview: Use this list of problems to determine any weaknesses
Unit 1: Basic Terminology
Unit 2: System of Counting Numbers
Unit 3: System of Integers
Unit 4: The System of Rational Numbers
Unit 5: Solving Linear Equations
Unit 6: Applications
Mastery Test: Use these problems to confirm that all weaknesses have been overcome
Chapter 2: Graphing Equations with Two Variables
Preview: Use this list of problems to determine any weaknesses
Unit 1: Solutions of Two-Variable Equations
Unit 2: Finding Ordered-Pair Solutions
Unit 3: The xy-Plane
Unit 4:
Graph of an Equation
Unit 5: Graphing Lines on the xy-Plane
Unit 6: Common Solutions
Unit 7: Applications
Mastery Test: Use these problems to confirm that all weaknesses have been overcome
Chapter 3: Solving Pairs of Equations
Preview: Use this list of problems to determine any weaknesses
Unit 1: "Adding" Pairs of Equations
Unit 2: Finding Common Solutions by Addition
Unit 3: Generating Equivalent Pairs of Equations
Unit 4:
Finding Common Solutions by Substitution
Unit 5: Pairs of Equations with No Common Solutions
Unit 6: Applications
Mastery Test: Use these problems to confirm that all weaknesses have been overcome
Chapter 4: Exponents
Preview: Use this list of problems to determine any weaknesses
Unit 1: Evaluating Exponent Expressions
Unit 2: Multiplying Like Bases
Unit 3: Multiplication of Power Expressions
Unit 4:
Raising a Power to a Power
Unit 5: Division Using Exponents
Unit 6: Integer Exponents
Unit 7: Simplifying with Negative Exponents
Unit 8: Applications
Mastery Test: Use these problems to confirm that all weaknesses have been overcome
Chapter 5: An Introduction to Polynomials
Preview: Use this list of problems to determine any weaknesses
Unit 1: Monomials, Binomials, Trinomials, and Polynomials
Unit 2: Multiplying Polynomials
Unit 3: Adding Polynomial Fractions
Unit 4:
Subtracting Polynomials and Polynomial Fractions
Unit 5: Long Division of Polynomials
Unit 6: Applications
Mastery Test: Use these problems to confirm that all weaknesses have been overcome
Chapter 6: Factoring Polynomials
Preview: Use this list of problems to determine any weaknesses
Unit 1: Factors, Common Factors, and Highest Common Factor
Unit 2: The Common Factor Method
Unit 3: Factoring Trinomials with 1 as the Leading Coefficient
Unit 4:
Factoring Differences of Two Squares
Unit 5: Polynomials with More Than Two Factors
Unit 6: Factoring Trinomials
Unit 7: Polynomials Requiring Repeated Factoring
Unit 8: Applications
Mastery Test: Use these problems to confirm that all weaknesses have been overcome
Chapter 7: Polynomial Fractions
Preview: Use this list of problems to determine any weaknesses
Unit 1: Polynomial Fractions Equal to 1 and -1
Unit 2: Simplifying Polynomial Fractions
Unit 3: Multiplying Polynomial Fractions
Unit 4:
Adding Polynomial Fractions with a Common Denominator
Unit 5: The LCM of Two Polynomials
Unit 6: Adding Fractions with Monomial Denominators
Unit 7: Adding Polynomial Fractions
Unit 8: Applications
Mastery Test: Use these problems to confirm that all weaknesses have been overcome
Chapter 8: Extending Equation solving Skills
Preview: Use this list of problems to determine any weaknesses
Unit 1: Reviewing the Solution of Linear Equations
Unit 2: Solving Equations Using Opposites and Reciprocals
Unit 3: Generating Simpler Equations Using the LCM of the Denominators
Unit 4:
Equations with Polynomial Denominators
Unit 5: Solving Equations Containing Polynomial Fractions
Unit 6: Applications
Mastery Test: Use these problems to confirm that all weaknesses have been overcome
Chapter 9: Quadratic Equations with Rational Solutions
Preview: Use this list of problems to determine any weaknesses
Unit 1: Linear and Quadratic Equations
Unit 2: Zero as an Important Product of Two Factors
Unit 3: Solving Quadratic Equations by Factoring
Unit 4:
Preparing Quadratic Equations for Factored Solutions
Unit 5: Checking Solutions for Quadratic Equations
Unit 6: Applications
Mastery Test: Use these problems to confirm that all weaknesses have been overcome
Chapter 10: Simplifying Radical Expressions
Preview: Use this list of problems to determine any weaknesses
Unit 1: Perfect Square Integers
Unit 2: Square Roots, Radical Signs, and Irrational Numbers
Unit 3: Simplifying Radical Expressions
Unit 4:
Reducing a Division of Radical Expressions
Unit 5: Rationalizing Denominators
Unit 6: Simplifying Addition Expressions
Unit 7: Applications
Mastery Test: Use these problems to confirm that all weaknesses have been overcome
Chapter 11: Solving Quadratic Equations with Irrational Solutions
Preview: Use this list of problems to determine any weaknesses
Unit 1: Solving Simple Quadratic Equations
Unit 2: Extending Skills for Solving Quadratic Equations
Unit 3: Completing the Square
Unit 4:
The Quadratic Formula
Unit 5: Truth Sets of Quadratic Equations
Unit 6: Checking Solutions of Quadratic Equations
Unit 7: Applications
Mastery Test: Use these problems to confirm that all weaknesses have been overcome
Answers for All Tests and Feedback Exercises
Index
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