Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Contents
Foldables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . . 2
1-1 A Plan for Problem Solving . . . . . . . . . . . 4
1-2 Variables, Expressions, and
Properties . . . . . . . . . . . . . . . . . . . . . . . . . 6
1-3 Integers and Absolute Value . . . . . . . . . 9
1-4 Adding Integers . . . . . . . . . . . . . . . . . . . 12
1-5 Subtracting Integers . . . . . . . . . . . . . . . 16
1-6 Multiplying and Dividing
Integers . . . . . . . . . . . . . . . . . . . . . . . . . 18
1-7 Writing Equations . . . . . . . . . . . . . . . . . 21
1-8 Problem-Solving Investigation:
Work Backward . . . . . . . . . . . . . . . . . . . 23
1-9 Solving Addition and Subtraction
Equations . . . . . . . . . . . . . . . . . . . . . . . 24
1-10 Solving Multiplication and
Division Equations . . . . . . . . . . . . . . . . . 26
Study Guide . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
Foldables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . 33
2-1 Rational Numbers . . . . . . . . . . . . . . . . . 35
2-2 Comparing and Ordering
Rational Numbers . . . . . . . . . . . . . . . . . 38
2-3 Multiplying Positive and
Negative Fractions . . . . . . . . . . . . . . . . . 40
2-4 Dividing Positive and Negative
Fractions . . . . . . . . . . . . . . . . . . . . . . . . . 42
2-5 Adding and Subtracting
Like Fractions . . . . . . . . . . . . . . . . . . . . . 45
2-6 Adding and Subtracting Unlike
Fractions . . . . . . . . . . . . . . . . . . . . . . . . . 47
2-7 Solving Equations with Rational
Numbers . . . . . . . . . . . . . . . . . . . . . . . . . 49
2-8 Problem-Solving Investigation:
Look for a Pattern . . . . . . . . . . . . . . . . 51
2-9 Powers and Exponents . . . . . . . . . . . . . 52
2-10 Scientific Notation . . . . . . . . . . . . . . . . . 54
Study Guide . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
Foldables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . 62
3-1 Square Roots . . . . . . . . . . . . . . . . . . . . . 64
3-2 Estimating Square Roots . . . . . . . . . . . . 66
3-3 Problem-Solving Investigation:
Use a Venn Diagram . . . . . . . . . . . . . . . 68
3-4 The Real Number System . . . . . . . . . . . 69
3-5 The Pythagorean Theorem . . . . . . . . . . 72
3-6 Using the Pythagorean
Theorem . . . . . . . . . . . . . . . . . . . . . . . . . 75
3-7 Geometry: Distance on the
Coordinate Plane . . . . . . . . . . . . . . . . . . 77
Study Guide . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
Foldables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84
Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . 85
4-1 Ratios and Rates . . . . . . . . . . . . . . . . . . 87
4-2 Proportional and
Nonproportional Relationships . . . . . . 89
4-3 Solving Proportions . . . . . . . . . . . . . . . . 91
4-4 Problem-Solving Investigation:
Draw a Diagram . . . . . . . . . . . . . . . . . . 93
4-5 Similar Polygons . . . . . . . . . . . . . . . . . . 94
4-6 Measurement: Converting Length,
Weight/Mass, Capacity, and Time . . . . . 97
4-7 Measurement: Converting Square
Units and Cubic Units . . . . . . . . . . . . . 100
4-8 Scale Drawings and Models . . . . . . . . 102
4-9 Rate of Change . . . . . . . . . . . . . . . . . . 104
4-10 Constant Rate of Change . . . . . . . . . . 107
Study Guide . . . . . . . . . . . . . . . . . . . . . . . . . . 110
Foldables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115
Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . 116
5-1 Ratios and Percents . . . . . . . . . . . . . . . 118
5-2 Comparing Fractions, Decimals,
and Percents . . . . . . . . . . . . . . . . . . . . 120
5-3 Algebra: The Percent
Proportion . . . . . . . . . . . . . . . . . . . . . . 123
5-4 Finding Percents Mentally . . . . . . . . . 125
5-5 Problem-Solving Investigation:
Reasonable Answers . . . . . . . . . . . . . . 127
5-6 Percent and Estimation . . . . . . . . . . . . 128
5-7 Algebra: The Percent Equation . . . . . 131
5-8 Percent of Change . . . . . . . . . . . . . . . . 133
5-9 Simple Interest . . . . . . . . . . . . . . . . . . . 137
Study Guide . . . . . . . . . . . . . . . . . . . . . . . . . . 139
Foldables . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143
Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . 144
6-1 Line and Angle Relationships . . . . . . . 146
6-2 Problem-Solving Investigation:
Use Logical Reasoning . . . . . . . . . . . . . 149
6-3 Polygons and Angles . . . . . . . . . . . . . . 150
6-4 Congruent Polygons . . . . . . . . . . . . . . 152
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