
CHAPTER 1 Whole Numbers and Decimals 


1  (68) 

11 Whole Numbers, Decimals, and the PlaceValue System 


2  (12) 

12 Adding Whole Numbers and Decimals 


14  (7) 

13 Subtracting Whole Numbers and Decimals 


21  (5) 

14 Multiplying Whole Numbers and Decimals 


26  (10) 

15 Dividing Whole Numbers and Decimals 


36  (10) 

16 Exponents, Roots, and Powers of 10 


46  (7) 


53  (16) 


69  (34) 

21 Natural Numbers, Whole Numbers, and Integers 


70  (7) 

22 Addition with Integers 


77  (2) 


80  (4) 


84  (4) 


88  (1) 


89  (14) 

CHAPTER 3 Fractions and Percents 


103  (72) 


104  (4) 

32 Multiples, Divisibility, and Factor Pairs 


108  (3) 

33 Prime and Composite Numbers 


111  (3) 

34 Least Common Multiple and Greatest Common Factor 


114  (2) 

35 Equivalent Fractions and Decimals 


116  (6) 

36 Improper Fractions and Mixed Numbers 


122  (2) 

37 Finding Common Denominators and Comparing Fractions and Decimals 


124  (4) 

38 Adding Fractions and Mixed Numbers 


128  (4) 

39 Subtracting Fractions and Mixed Numbers 


132  (4) 

310 Multiplying Fractions and Mixed Numbers 


136  (4) 

311 Dividing Fractions and Mixed Numbers 


140  (5) 

312 Signed Fractions and Decimals 


145  (3) 

313 Calculators with Fraction Key 


148  (2) 

314 Finding Number and Percent Equivalents 


150  (25) 

CHAPTER 4 Problem Solving with Percents 


175  (39) 

41 Percentage Proportion 


176  (4) 

42 Solving Percentage Problems 


180  (9) 

43 Increases and Decreases 


189  (5) 

44 Business Applications 


194  (20) 

CHAPTER 5 Direct Measurement 


214  (46) 

51 The U.S. Customary System of Measurement 


215  (8) 

52 Adding and Subtracting U.S. Customary Measures 


223  (2) 

53 Multiplying and Dividing U.S. Customary Measures 


225  (6) 

54 Introduction to the Metric System 


231  (12) 

55 MetricU.S. Customary Comparisons 


243  (2) 

56 Reading Instruments Used to Measure Length 


245  (15) 

CHAPTER 6 Area and Perimeter 


260  (27) 

61 Squares, Rectangles, and Parallelograms 


261  (10) 

62 Area and Circumference of a Circle 


271  (16) 

CHAPTER 7 Interpreting and Analyzing Data 


287  (30) 

71 Reading Circle, Bar, and Line Graphs 


288  (4) 

72 Frequency Distributions, Histograms, and Frequency Polygons 


292  (4) 

73 Finding Statistical Measures 


296  (4) 

74 Counting Techniques and Simple Probabilities 


300  (17) 

CHAPTER 8 Symbolic Representation 


317  (31) 


318  (4) 


322  (6) 


328  (7) 


335  (13) 

CHAPTER 9 Linear Equations 


348  (28) 

91 Solving Basic Equations 


349  (4) 

92 Isolating the Variable in Solving Equations 


353  (4) 

93 Applying the Distributive Property in Solving Equations 


357  (3) 

94 Strategies for Problem Solving 


360  (16) 

CHAPTER 10 Equations with Fractions and Decimals 


376  (39) 

101 Solving Fractional Equations by Clearing the Denominators 


377  (8) 

102 Solving Decimal Equations 


385  (5) 

103 Using Proportions to Solve Problems 


390  (25) 

CHAPTER 11 Powers and Logarithms 


415  (44) 


416  (5) 

112 Basic Operations with Algebraic Expressions Containing Powers 


421  (4) 

113 Powers of 10 and Scientific Notation 


425  (8) 


433  (4) 

115 Exponential Expressions, Equations, and Formulas 


437  (4) 

116 Logarithmic Expressions 


441  (18) 

CHAPTER 12 Roots and Radicals 


459  (28) 

121 Roots and Notation Conventions 


460  (3) 

122 Simplifying SquareRoot Expressions 


463  (3) 

123 Basic Operations with SquareRoot Radicals 


466  (6) 

124 Complex and Imaginary Numbers 


472  (3) 

125 Equations with Squares and Square Roots 


475  (12) 

CHAPTER 13 Formulas and Applications 


487  (50) 


488  (4) 

132 Formula Rearrangement 


492  (4) 

133 Temperature Formulas 


496  (5) 


501  (18) 

135 Miscellaneous Technical Formulas 


519  (18) 

CHAPTER 14 Products and Factors 


537  (30) 

141 The Distributive Property and Common Factors 


538  (2) 

142 Multiplying Polynomials 


540  (5) 

143 Factoring Special Products 


545  (3) 

144 Factoring General Trinomials 


548  (19) 

CHAPTER 15 Solving Quadratic and HigherDegree Equations 


567  (27) 


568  (2) 

152 Solving Quadratic Equations Using the Quadratic Formula 


570  (6) 

153 Solving Pure Quadratic Equations: ax(2) + c = 0 


576  (2) 

154 Solving Incomplete Quadratic Equations: ax(2) + bx = 0 


578  (3) 

155 Solving Complete Quadratic Equations by Factoring 


581  (1) 

156 Selecting an Appropriate Method for Solving Quadratic Equations 


582  (2) 

157 Solving HigherDegree Equations by Factoring 


584  (10) 

CHAPTER 16 Rational Expressions 


594  (25) 

161 Simplifying Rational Expressions 


595  (4) 

162 Multiplying and Dividing Rational Expressions 


599  (3) 

163 Adding and Subtracting Rational Expressions 


602  (4) 

164 Solving Equations with Rational Expressions 


606  (13) 

CHAPTER 17 Inequalities and Absolute Values 


619  (36) 

171 Inequalities and Sets 


620  (3) 

172 Solving Simple Linear Inequalities 


623  (4) 

173 Compound Inequalities 


627  (7) 

174 Solving Quadratic and Rational Inequalities 


634  (7) 

175 Equations Containing One AbsoluteValue Term 


641  (2) 

176 AbsoluteValue Inequalities 


643  (12) 

CHAPTER 18 Graphical Representation 


655  (39) 

181 Graphical Representation of Equations 


656  (6) 

182 Linear Equations in Two Variables and Function Notation 


662  (3) 

183 Graphing Linear Equations with Two Variables 


665  (8) 

184 Graphing Linear Inequalities with Two Variables 


673  (4) 

185 Graphing Quadratic Equations and Inequalities 


677  (17) 

CHAPTER 19 Slope and Distance 


694  (34) 


695  (4) 

192 PointSlope Form of an Equation 


699  (3) 

193 SlopeIntercept Form of an Equation 


702  (4) 


706  (3) 


709  (4) 

196 Distance and Midpoints 


713  (15) 

CHAPTER 20 Systems of Equations and Inequalities 


728  (29) 

201 Solving Systems of Equations and Inequalities Graphically 


729  (4) 

202 Solving Systems of Equations Using the Addition Method 


733  (7) 

203 Solving Systems of Equations by the Substitution Method 


740  (2) 

204 Problem Solving Using Systems of Equations 


742  (15) 

CHAPTER 21 Selected Concepts of Geometry 


757  (64) 

211 Basic Terminology and Notation 


758  (6) 


764  (5) 


769  (10) 


779  (7) 

215 Sectors and Segments of a Circle 


786  (4) 

216 Inscribed and Circumscribed Regular Polygons and Circles 


790  (31) 

CHAPTER 22 Introduction to Trigonometry 


821  (28) 


822  (6) 

222 Trigonometric Functions 


828  (6) 

223 Using a Calculator to Find Trigonometric Values 


834  (15) 

CHAPTER 23 RightTriangle Trigonometry 


849  (27) 

231 Sine, Cosine, and Tangent Functions 


850  (8) 

232 Applied Problems Using RightTriangle Trigonometry 


858  (18) 

CHAPTER 24 Oblique Triangles 


876  (44) 


877  (5) 

242 Trigonometric Functions for Any Angle 


882  (5) 


887  (8) 


895  (5) 


900  (20) 
Selected Answers to Student Exercise Material 

920  (83) 
Index 

1003  