This manual contains completely worked-out solutions for all the odd-numbered exercises in the text exercise sets, and for all exercises in the Mid-Chapter Reviews, Chapter Summary and Review, Chapter Tests, and Cumulative Reviews.
Table of Contents:
1. Whole numbers
1.1 Standard Notation; Order
1.2 Addition and Subtraction
1.3 Multiplication and Division; Rounding and Estimating
1.4 Solving Equations
Mid-Chapter Review
1.5 Applications and Problem Solving
Translating for Success
1.6 Exponential Notation and Order of Operations
1.7 Factorizations
1.8 Divisibility
1.9 Least Common Multiples
Summary and Review
Test
2. Fraction Notation
2.1 Fraction Notation and Simplifying
2.2 Multiplication and Division
2.3 Addition and Subtraction; Order
Mid-Chapter Review
2.4 Mixed Numerals
2.5 Applications and Problem Solving
Translating for Success
2.6 Order of Operations and Estimation
Summary and Review
Test
3. Decimal Notation
3.1 Decimal Notation, Order, and Rounding
3.2 Addition and Subtraction
3.3 Multiplication
3.4 Division
Mid-Chapter Review
3.5 Converting from Fraction Notation to Decimal Notation
3.6 Estimating
3.7 Applications and Problem Solving
Translating for Success
Summary and Review
Test
4. Percent Notation
4.1 Ratio and Proportion
4.2 Percent Notation
4.3 Percent Notation and Fraction Notation
4.4 Solving Percent Problems Using Percent Equations
4.5 Solving Percent Problems Using Proportions
Mid-Chapter Review
4.6 Applications of Percent
Translation for Success
4.7 Sales Tax, Commission, and Discount
4.8 Simple Interest and Compound Interest; Credit Cards
Summary and Review
Test
5. Data, Graphs, and Statistics
5.1 Averages, Medians, and Modes
5.2 Interpreting Data from Tables and Graphs
Mid-Chapter Review
5.3 Interpreting and Drawing Bar Graphs and Line Graphs
5.4 Interpreting and Drawing Circle Graphs
Translating for Success
Summary and Review
Test
6. Geometry
6.1 Basic Geometric Figures
6.2 Perimeter
6.3 Area
6.4 Circles
Mid-Chapter Reviews
6.5 Volume and Surface Area
6.6 Relationships Between Angle Measures
6.7 Congruent Triangles and Properties of Parallelograms
6.8 Similar Triangles
Translating for Success
Summary and Review
Test
7. Introduction to Real Numbers and Algebraic Expressions
7.1 Introduction to Algebra
7.2 The Real Numbers
7.3 Addition of Real Numbers
7.4 Subtraction of Real Numbers
Mid-Chapter Review
7.5 Multiplication of Real Numbers
7.6 Division of Real Numbers
7.7 Properties of Real Numbers
7.8 Simplifying Expressions; Order of Operations
Summary and Review
Test
8. Solving Equations and Inequalities
8.1 Solving Equations: The Addition Principle
8.2 Solving Equations: The Multiplication Principle
8.3 Using the Principles Together
8.4 Formulas
Mid-Chapter Review
8.5 Applications of Percent
8.6 Applications and Problem Solving
Translating for Success
8.7 Solving Inequalities
8.8 Applications and Problem Solving with Inequalities
Summary and Review
Test
9. Graphs of Linear Equations
9.1 Graphs and Applications of Linear Equations
9.2 More with Graphing and Intercepts
Visualizing for Success
9.3 Slope and Applications
9.4 Equations of Lines
Mid-Chapter Review
9.5 Graphing Using the Slope and the y-Intercept
9.6 Parallel Lines and Perpendicular Lines
9.7 Graphing Inequalities in Two Variables
Visualizing for Success
Summary and Review
Test
10. Polynomials: Operations
10.1 Integers as Exponents
10.2 Exponents and Scientific Notation
10.3 Introduction to Polynomials
10.4 Addition and Subtraction of Polynomials
Mid-Chapter Review
10.5 Multiplication of Polynomials
10.6 Special Products
Visualizing for Success
10.7 Operations with Polynomials in Several Variables
10.8 Division of Polynomials
Summary and Review
Test
11. Polynomials: Factoring
11.1 Introduction to Factoring
11.2 Factoring Trinomials of the Type x2 + bx + c
11.3 Factoring ax2 + bx + c, a ≠ 1: the FOIL Method
11.4 Factoring ax2 + bx + c, a ≠ 1: the ac-Method
Mid-Chapter Review
11.5 Factoring Trinomial Squares and Differences of Squares
11.6 Factoring: A General Strategy
11.7 Solving Quadratic Equations by Factoring
11.8 Applications of Quadratic Equations
Translating for Success
Summary and Review
Test
12. Rational Expressions and Equations
12.1 Multiplying and Simplifying Rational Expressions
12.2 Division and Reciprocals
12.3 Least Common Multiples and Denominators
12.4 Adding Rational Expressions
12.5 Subtracting Rational Expressions
Mid-Chapter Review
12.6 Complex Rational Expressions
12.7 Solving Rational Equations
12.8 Applications Using Rational Equations and Proportions
Translating for Success
12.9 Direct Variation and Inverse Variation
Summary and Review
Test
13. Systems of Equations
13.1 Systems of Equations in Two Variables
13.2 The Substitution Method
13.3 The Elimination Method
Mid-Chapter Review
13.4 Applications and Problem Solving
13.5 Applications with Motion
Translating for Success
Summary and Review
Test
14. Radical Expressions and Equations
14.1 Introduction to Radical Expressions
14.2 Multiplying and Simplifying with Radical Expressions
14.3 Quotients Involving Radical Expressions
Mid-Chapter Review
14.4 Addition, Subtraction, and More Multiplication
14.5 Radical Equations
14.6 Applications with Right Triangles
Translating for Success
Summary and Review
Test
15. Quadratic Equations
15.1 Introduction to Quadratic Equations
15.2 Solving Quadratic Equations by Completing the Square
15.3 The Quadratic Formula
Mid-Chapter Review
15.4 Formulas
15.5 Applications and Problem Solving
Translating for Success
15.6 Graphs for Quadratic Equations
Visualizing for Success
15.7 Functions
Summary and Review
Test
Appendixes
A. Linear Measures: American Units and Metric Units
B. Weight and Mass; Medical Applications
C. Capacity; Medical Applications
D. Time and Temperature
E. Sets
F. Factoring Sums or Differences of Cubes
G. Finding Equations of Lines: Point-Slope Equation
H. Equations Involving Absolute Value
I. The Distance Formula and Midpoints
J. Higher Roots, and Rational Numbers as Exponents
K. Inequalities and Interval Notation
L. Nonlinear Inequalities
M. Systems of Linear Inequalities
N. Probability
O. The Complex Numbers
Answers
Guided Solutions
Glossary
Index
About the Author :
Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University Purdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana, with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.
Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University—Purdue University Indianapolis. In addition to her career in textbook publishing, she spends time traveling, enjoying her grandchildren, and promoting charity projects for a children's camp.
Barbara Johnson has a BS in mathematics from Bob Jones University and a MS in math from Clemson University. She has taught high school and college math for 30 years, and enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she recently earned a black belt in karate.
