Preface
Diagnostic Pretest
0. A Brief Review of Arithmetic Skills
0.1 Simplifying Fractions
0.2 Adding and Subtracting Fractions
0.3 Multiplying and Dividing Fractions
0.4 Using Decimals
How Am I Doing? Sections 0.1—0.4
0.5 Percents, Rounding, and Estimating
0.6 Using the Mathematics Blueprint for Problem Solving
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Chapter 0 Organizer
Chapter 0 Review Problems
How Am I Doing? Chapter 0 Test
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1. Real Numbers and Variables
1.1 Adding Real Numbers
1.2 Subtracting Real Numbers
1.3 Multiplying and Dividing Real Numbers
1.4 Exponents
1.5 The Order of Operations
How Am I Doing? Sections 1.1—1.5
1.6 Using the Distributive Property to Simplify Algebraic Expressions
1.7 Combining Like Terms
1.8 Using Substitution to Evaluate Algebraic Expressions and Formulas
1.9 Grouping Symbols
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Chapter 1 Organizer
Chapter 1 Review Problems
How Am I Doing? Chapter 1 Test
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2. Equations and Inequalities
2.1 The Addition Principle of Equality
2.2 The Multiplication Principle of Equality
2.3 Using the Addition and Multiplication Principles Together
2.4 Solving Equations with Fractions
How Am I Doing? Sections 2.1—2.4
2.5 Formulas
2.6 Solving Inequalities in One Variable
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Chapter 2 Organizer
Chapter 2 Review Problems
How Am I Doing? Chapter 2 Test
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3. Solving Applied Problems
3.1 Translating English Phrases into Algebraic Expressions
3.2 Using Equations to Solve Word Problems
3.3 Solving Word Problems: Comparisons
How Am I Doing? Sections 3.1—3.3
3.4 Solving Word Problems: The Value of Money and Percents
3.5 Solving Word Problems Using Geometric Formulas
3.6 Using Inequalities to Solve Word Problems
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Chapter 3 Organizer
Chapter 3 Review Problems
How Am I Doing? Chapter 3 Test
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Cumulative Test for Chapters 0—3
4. Exponents and Polynomials
4.1 The Rules of Exponents
4.2 Negative Exponents and Scientific Notation
4.3 Fundamental Polynomial Operations
How Am I Doing? Sections 4.1—4.3
4.4 Multiplying Polynomials
4.5 Multiplication: Special Cases
4.6 Dividing Polynomials
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Chapter 4 Organizer
Chapter 4 Review Problems
How Am I Doing? Chapter 4 Test
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5. Factoring
5.1 Removing a Common Factor
5.2 Factoring by Grouping
5.3 Factoring Trinomials of the Form x2 + bx + c
5.4 Factoring Trinomials of the Form ax2 + bx + c
How Am I Doing? Sections 5.1—5.4
5.5 Special Cases of Factoring
5.6 A Brief Review of Factoring
5.7 Solving Quadratic Equations by Factoring
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Chapter 5 Organizer
Chapter 5 Review Problems
How Am I Doing? Chapter 5 Test
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6. Rational Expressions and Equations
6.1 Simplifying Rational Expressions
6.2
