Student Solutions Manual for Intermediate Algebra

John Tobey received his BA in mathematics from Wheaton College in Wheaton, Illinois, in 1965, his MA in mathematics education from Harvard University in 1966, and his PhD in mathematics education from Boston University in 1980. He has taught in the mathematics department at the United States Military Academy at West Point and served as the Mathematics Department Chairman at North Shore Community College in Danvers, Massachusetts, for five years. John has served as the president of the New England Mathematics Association of Two Year Colleges. He has received the NISOD award for outstanding teaching from the University of Texas at Austin. John is the author of seven mathematics books published by Pearson Education. John has spoken to many mathematics departments and at many professional meetings throughout the country on the topic of developmental mathematics education and distance learning in mathematics. He lives in Massachusetts. Jeffrey Slater has been a professor at North Shore Community College for thirty-eight years and received the Teacher of the Year award in 2002. Jeff travels around the country speaking on student retention and is also a consultant to the Federal Government. He lives in Lexington, Massachusetts, with his wife Shelley and his yellow lab Gracie. Jamie Blair has directed the Mathematics Learning Center at Orange Coast College for the past seventeen years. She designed, developed, and implemented the center, and as a result of this effort, has provided technical expertise related to the particulars of the Math Center to numerous other two-year colleges and at many conferences. In 2007, Jamie was appointed to the Team of Basic Skills Specialists by the California State Academic Senate. She is also currently participating on Title 3 committees on her campus. She specializes in teaching students who have never been successful in mathematics. She is an expert in the area of basic skills in relation to the learning needs of students. She lives in California. Jennifer Crawford received her BS in mathematics from the University of Minnesota–Duluth in 1995 and her MS in mathematics from the University of Minnesota–Twin Cities in 1998. She taught a wide range of courses at North Shore Community College in Danvers, Massachusetts for five years. She currently teaches at Normandale Community College in Bloomington, Minnesota, where her focus is working with developmental math students. She lives in Minneapolis, Minnesota, with her husband, two young children, and black lab.

Table of Contents



Whole Numbers

1.1 Understanding Whole Numbers
1.2 Adding Whole Numbers
1.3 Subtracting Whole Numbers
1.4 Multiplying Whole Numbers
1.5 Dividing Whole Numbers
1.6 Exponents and Order of Operations
1.7 Rounding and Estimating
1.8 Solving Applied Problems Involving Whole Numbers
Career Explorations
Chapter 1 Organizer
Chapter 1 Review Problems
Chapter 1 Test
Math Coach


Fractions

2.1 Understanding Fractions
2.2 Simplifying Fractions
2.3 Converting Between Improper Fractions and Mixed Numbers
2.4 Multiplying Fractions and Mixed Numbers
2.5 Dividing Fractions and Mixed Numbers
2.6 The Least Common Denominator and Creating Equaivalent Fractions
2.7 Adding and Subtracting Fractions
2.8 Adding and Subtracting Mixed Numbers and the Order of Operations
2.9 Solving Applied Problems Involving Fractions
Career Explorations
Chapter 2 Organizer
Chapter 2 Review Problems
Chapter 2 Test
Math Coach


Decimals

3.1 Using Decimal Notation
3.2 Comparing, Ordering, and Rounding Decimals
3.3 Adding and Subtracting Decimals
3.4 Multiplying Decimals
3.5 Dividing Decimals
3.6 Converting Fractions to Decimals and the Order of Operations
3.7 Estimating and Solving Applied Problems Involving Decimals
Career Explorations
Chapter 3 Organizer
Chapter 3 Review Problems
Chapter 3 Test
Math Coach


Ratio and Proportion

4.1 Ratios and Rates
4.2 The Concept of Proportions
4.3 Solving Proportions
4.4 Solving Applied Problems Involving Proportions
Career Explorations
Chapter 4 Organizer
Chapter 4 Review Problems
Chapter 4 Test
Math Coach


Percent

5.1 Understanding Percent
5.2 Changing Between Percents, Decimals, and Fractions
5.3A Solving Percent Problems Using Equations
5.3B Solving Percent Problems Using Proportions
5.4 Solving Applied Percent Problems
5.5 Solving Commission, Percent Increase or Decrease, and Interest Problems
Career Explorations
Chapter 5 Organizer
Chapter 5 Review Problems
Chapter 5 Test
Math Coach


Measurement

6.1 American Units
6.2 Metric Measurements: Length
6.3 Metric Measurements: Volume and Weight
6.4 Converting Units
6.5 Solving Applied Measurements Problems
Career Explorations
Chapter 6 Organizer
Chapter 6 Review Problems
Chapter 6 Test
Math Coach


Geometry

7.1 Angles
7.2 Rectangles and Squares
7.3 Parallelograms, Trapezoids, and Rhombuses
7.4 Triangles
7.5 Square Roots
7.6 The Pythagorean Theorem
7.7 Circles
7.8 Volume
7.9 Similar Geometric Features
7.10 Solving Applied Problems in Geometry
Career Explorations
Chapter 7 Organizer
Chapter 7 Review Problems
Chapter 7 Test
Math Coach


Statistics

8.1 Circle Graphs
8.2 Bar Graphs and Line Graphs
8.3 Histograms
8.4 Mean, Median, and Mode
Career Explorations
Chapter 8 Organizer
Chapter 8 Review Problems
Chapter 8 Test
Math Coach


Signed Numbers

9.1 Adding Signed Numbers
9.2 Subtracting Signed Numbers
9.3 Multiplying and Dividing Signed Numbers
9.4 Order of Operations with Signed Numbers
9.5 Scientific Notation
Career Explorations
Chapter 9 Organizer
Chapter 9 Review Problems
Chapter 9 Test
Math Coach


Introduction to Algebra

10.1 Variables and Like Terms
10.2 The Distributive Property
10.3 Solving Equations Using the Addition Property
10.4 Solving Equations Using the Division or Multiplication Property
10.5 Solving Equations Using Two Properties
10.6 Translating English to Algebra
10.7 Solving Applied Problems
Career Explorations
Chapter 10 Organizer
Chapter 10 Review Problems
Chapter 10 Test
Math Coach