Developmental Mathematics: Prealgebra, Beginning Algebra, and Intermediate Algebra, 1st edition
Published by Pearson (April 22, 2014) © 2014
- John Tobey North Shore Community College
- Jeffrey Slater North Shore Community College
- Jamie Blair Orange Coast College
- Jennifer Crawford Normandale Community College
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- Loose-leaf, 3-hole-punched pages
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Developmental Mathematics: Prealgebra, Beginning Algebra, and Intermediate Algebra, 1st Edition is with you every step of the way in your math course. It offers everything needed for the full developmental math sequence in one flexible, modularized solution, including Use Math to Save Money Animations. The topic-based modules build essential skills one at a time by breaking the mathematics down into manageable pieces, and guide you as you progress through the material in all course environments, including hybrid, self-paced and online.
Module 1: Whole Numbers and Introduction to Algebra
1.1: Understanding Whole Numbers
1.2: Adding Whole Number Expressions
1.3: Subtracting Whole Number Expressions
1.4: Multiplying Whole Number Expressions
1.5: Dividing Whole Number Expressions
1.6: Exponents and the Order of Operations
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How Am I Doing? Topics 1.1–1.6
1.7: More on Algebraic Expressions
1.8: Introduction to Solving Linear Equations
1.9: Solving Applied Problems Using Several Operations
Module 1 Organizer
Module 1 Review Problems
How Am I Doing? Module 1 Test
Math Coach
Module 2: Integers
2.1: Understanding Integers
2.2: Adding Integers
2.3: Subtracting Integers
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How Am I Doing? Topics 2.1–2.3
2.4: Multiplying and Dividing Integers
2.5: The Order of Operations and Applications Involving Integers
2.6: Simplifying and Evaluating Algebraic Expressions
Module 2 Organizer
Module 2 Review Problems
How Am I Doing? Module 2 Test
Math Coach
Module 3: Introduction to Equations and Algebraic Expressions
3.1: Equations of the form x + a = c and x - a = c
3.2: Equations of the form ax = c
How Am I Doing? Topics 3.1–3.2
3.3: Equations and Geometric Formulas
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3.4: Performing Operations with Exponents
Module 3 Organizer
Module 3 Review Problems
How Am I Doing? Module 3 Test
Math Coach
Module 4: Fractions, Ratio, and Proportions
4.1: Factoring Whole Numbers
4.2: Understanding Fractions
4.3: Simplifying Fractional Expressions
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How Am I Doing? Topics 4.1–4.3
4.4: Simplifying Fractional Expressions with Exponents
4.5: Ratios and Rates
4.6: Proportions and Applications
Module 4 Organizer
Module 4 Review Problems
How Am I Doing? Module 4 Test
Math Coach
Module 5: Operations on Fractional Expressions
5.1: Multiplying and Dividing Fractional Expressions
5.2: Least Common Multiples of Algebraic Expressions
5.3: Adding and Subtracting Fractional Expressions
5.4: Operations with Mixed Numbers
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How Am I Doing? Topics 5.1–5.4
5.5: Order of Operations and Complex Fractions
5.6: Solving Applied Problems Involving Fractions
5.7: The Multiplication Principle of Equality
Module 5 Organizer
Module 5 Review Problems
How Am I Doing? Module 5 Test
Math Coach
Module 6: Decimals and Percents
6.1: Understanding Decimal Fractions
6.2: Adding and Subtracting Decimal Expressions
6.3: Multiplying and Dividing Decimal Expressions
How Am I Doing? Topics 6.1–6.3
6.4: Estimating with Percents
6.5: Percents
6.6: Solving Percent Problems Using Equations
6.7: Solving Percent Problems Using Proportions
6.8: Solving Applied Problems Involving Percents
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Module 6 Organizer
Module 6 Review Problems
How Am I Doing? Module 6 Test
Math Coach
Module 7: Measurement and Geometric Figures
7.1: Using Unit Fractions with U.S. and Metric Units
7.2: Converting Between the U.S. and Metric Systems
7.3: Angles
How Am I Doing? Topics 7.1–7.3
7.4: The Circle
7.5: Volume
7.6: Similar Geometric Figures
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Module 7 Organizer
Module 7 Review Problems
How Am I Doing? Module 7 Test
Math Coach
Module 8: Introduction to Polynomials
8.1: Adding and Subtracting Polynomials
8.2: Multiplying Polynomials
How Am I Doing? Topics 8.1–8.2
8.3: Translate from English to Algebra
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8.4: Factoring Using the Greatest Common Factor
Module 8 Organizer
Module 8 Review Problems
How Am I Doing? Module 8 Test
Math Coach
Module 9: Equations, Inequalities, and Applications
9.1: Addition and Multiplication Principles of Equality
9.2: Using Both Principles of Equality Together
9.3: Solving Equations with Fractions
How Am I Doing? Topics 9.1–9.3
9.4: Formulas
9.5: Using Equations to Solve Word Problems
9.6: Solving Word Problems Involving Money and Percents
9.7: Solving Inequalities in One Variable
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Module 9 Organizer
Module 9 Review Problems
How Am I Doing? Module 9 Test
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Module 10: Graphing and Functions
10.1: The Rectangular Coordinate System
10.2: Graphing Linear Equations
10.3: The Slope of a Line
How Am I Doing? Topics 10.1–10.3
10.4: Writing the Equation of a Line
10.5: Graphing Linear Inequalities
10.6: Functions
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Module 10 Organizer
Module 10 Review Problems
How Am I Doing? Module 10 Test
Math Coach
Module 11: Systems of Linear Equations and Inequalities
11.1: Systems of Linear Equations in Two Variables
11.2: Systems of Linear Equations in Three Variables
How Am I Doing? Topics 11.1–11.2
11.3: Applications of Systems of Linear Equations
11.4: Systems of Linear Inequalities
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Module 11 Organizer
Module 11 Review Problems
How Am I Doing? Module 11 Test
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Module 12: Exponents and Polynomials
12.1: The Rules of Exponents
12.2: Negative Exponents and Scientific Notation
12.3: Fundamental Polynomial Operations
How Am I Doing? Topics 12.1–12.3
12.4: Multiplying Polynomials
12.5: Multiplication -Special Cases
12.6: Dividing Polynomials
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Module 12 Organizer
Module 12 Review Problems
How Am I Doing? Module 12 Test
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Module 13: Factoring
13.1: Removing a Common Factor
13.2: Factoring by Grouping
13.3: Factoring Trinomials When a = 1
13.4: Factoring Trinomials When a ≠ 1
How Am I Doing? Topics 13.1–13.4
13.5: Special Cases of Factoring
13.6: A Brief Review of Factoring
13.7: Solving Quadratic Equations by Factoring
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Module 13 Organizer
Module 13 Review Problems
How Am I Doing? Module 13 Test
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Module 14: Rational Expressions and Equations
14.1: Simplifying Rational Expressions
14.2: Multiplying and Dividing Rational Expressions
14.3: Adding and Subtracting Rational Expressions
How Am I Doing? Topics 14.1–14.3
14.4: Simplifying Complex Rational Expressions
14.5: Solving Equations Involving Rational Expressions
14.6: Ratio, Proportion, and Other Applied Problems
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Module 14 Organizer
Module 14 Review Problems
How Am I Doing? Module 14 Test
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Module 15: Rational Exponents and Radicals
15.1: Rational Exponents
15.2: Radical Expressions and Functions
15.3: Simplifying, Adding, and Subtracting Radicals
15.4: Multiplying and Dividing Radicals
How Am I Doing? Topics 15.1–15.3
15.5: Radical Equations
15.6: Complex Numbers
15.7: Variation
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Module 15 Organizer
Module 15 Review Problems
How Am I Doing? Module 15 Test
Math Coach
Module 16: Quadratic Equations
16.1: Quadratic Equations
16.2: Solutions to Quadratic Equations-Quadratic Formula
16.3: Solving Equations That Are Quadratic in Form
How Am I Doing? Topics 16.1–16.3
16.4: Formulas and Applications
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Module 16 Organizer
Module 16 Review Problems
How Am I Doing? Module 16 Test
Math Coach
Module 17: The Conic Sections
17.1: The Distance Formula and the Circle
17.2: The Parabola
17.3: The Ellipse
How Am I Doing? Topics 17.1–17.3
17.4: The Hyperbola
17.5: Nonlinear Systems of Equations
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Module 17 Organizer
Module 17 Review Problems
How Am I Doing? Module 17 Test
Math Coach
Module 18: Additional Properties of Functions
18.1: Function Notation
18.2: General Graphing Procedures for Functions
How Am I Doing? Topics 18.1–18.2
18.3: Algebraic Operations on Functions
18.4: Inverse of a Function
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Module 18 Organizer
Module 18 Review Problems
How Am I Doing? Module 18 Test
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Module 19: Logarithmic and Exponential Functions
19.1: The Exponential Function
19.2: The Logarithmic Function
19.3: Properties of Logarithms
How Am I Doing? Topics 19.1–19.3
19.4: Common and Natural Logarithms; Change of Base
19.5: Exponential and Logarithmic Equations
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Module 19 Organizer
Module 19 Review Problems
How Am I Doing? Module 19 Test
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Module 20: Additional Topics
20.1: Quadratic Functions
20.2: Compound and Quadratic Inequalities
20.3: Absolute Value Equations and Inequalities
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Module 20 Organizer
Module 20 Review Problems
How Am I Doing? Module 20 Test
Math Coach
Appendices
Appendix A: Consumer Finance Applications
Appendix B: Introduction to U.S. and Metric Units of Measurement
Appendix C: Additional Arithmetic Practice
Appendix D: Foundations for Intermediate Algebra: A Transition from Beginning to Intermediate Algebra
Appendix E: Determinants and Cramer's Rule
Appendix F: Solving Systems of Linear Equations Using Matrices
Appendix G: Sets
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