PreAlgebra Student Edition
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7  9
April 8, 2011
9780078957734
PreAlgebra Student Edition
Grade Levels: 7  9
By McGrawHill
McGrawHill
Copyright: 2012
Publication Date: April 8, 2011
Publication Date: April 8, 2011
MHID: 0078957737
ISBN 13: 9780078957734
ISBN 13: 9780078957734
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Language: English
Page Count: 1152
Dimension: 8.8 x 11.3 IN
Page Count: 1152
Dimension: 8.8 x 11.3 IN

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PreAlgebra Student Edition
Chapter 0 Preparing for PreAlgebra
01 A Plan for Problem Solving
02 ProblemSolving Strategies
03 Number and Operations
04 Algebra
05 Geometry
06 Measurement
07 Data Analysis
Unit 1 Rational Numbers and Equations
Chapter 1 The Tools of Algebra
11 Words and Expressions
Explore 12 Algebra Lab: Rules and Expressions
12 Variable and Expressions
Extend 12 Spreadsheet Lab: Expressions and Spreadsheets
13 Properties
14 Ordered Pairs and Relations
Explore 15 Algebra Lab: Relations and Functions
15 Words, Equations, Tables, and Graphs
Explore 16 Algebra Lab: Scatter Plots
16 Scatter Plots
Extend 16 Graphing Technology Lab: Scatter Plots
Chapter 2 Operations with Integers
21 Integers and Absolute Value
Explore 22 algebra Lab: Adding Integers
22 Adding Integers
Explore 23 Algebra Lab: Subtracting Integers
23 Subtracting Integers
Extend 23 More About: Adding and Subtracting with Matrices
Explore 24 Algebra Lab: Multiplying Integers
24 Multiplying Integers
Explore 25 Algebra Lab: Dividing Integers
25 Dividing Integers
26 Graphing in Four Quadrants
27 Translations and Reflections on the Coordinate Plane
Chapter 3 Operations with Rational Numbers
Explore 31 Algebra Lab: Fractions and Decimals on the Number Line
31 Fractions and Decimals
32 Rational Numbers
33 Multiplying and Rational Numbers
34 Dividing Rational Numbers
35 Adding and Subtracting Like Fractions
36 Adding and Subtracting Unlike Fractions
Chapter 4 Expressions and Equations
41 The Distributive Property
Explore 42 Algebra Lab: Simplifying Algebraic Expressions
42 Simplifying Algebraic Expressions
43 Solving Equations by Adding and Subtracting
44 Solving Equations by Multiplying or Dividing
Explore 45 Algebra Lab: Solving TwoStep Equations Using Algebra Tiles
45 Solving TwoStep Equations
46 Writing Equations
Chapter 5 MultiStep Equations and Inequalities
51 Perimeter and Area
Extend 51 Spreadsheet Lab: Perimeter and Area
52 Solving Equations with Variables on Each Side
53 Inequalities
54 Solving Inequalities
55 Solving MultiStep Equations and Inequalities
Unit 2 Proportions and Similarity
Chapter 6 Ratio, Proportion, and Similar Figures
61 Ratios
62 Unit Rates
63 Converting Rates and Measurements
Extend 63 Geometry Lab: Accuracy and Precision
64 Proportional and Nonproportional Relationships
65 Solving Proportions
Extend 65 Algebra Lab: Inverse Proportions
66 Scale Drawings and Models
Explore 67 Geometry Lab: Similar Figures
67 Similar Figures
68 Dilations
69 Indirect Measurement
Chapter 7 Percent
71 Fractions and Percents
72 Fractions, Decimals, and Percents
Explore 73 Algebra Lab: Using a Percent Model
73 Using the Percent Proportion
74 Find a Percent of a Number Mentally
75 Using Percent Equations
Explore 76 Algebra Lab: Modeling Percents and Change
76 Percent of Change
77 Simple and Compound Interest
Extend 77 Spreadsheet Lab: Compound Interest
78 Circle Graphs
Unit 3 Linear and Nonlinear Functions
Chapter 8 Linear Functions and Graphing
81 Functions
82 Sequences and Equations
83 Representing Linear Functions
Extend 83 More About: Representing Linear Inequalities
84 Rate of Change
85 Constant Rate of Change and Direct Variation
Explore 86 Graphing Technology Lab: Scope and Rate of Change
86 Slope
Explore 87 Algebra Lab: Proportional and Nonproportional Linear Relationships
87 SlopeIntercept Form
Extend 87 Graphing Technology Lab: Family of Linear Graphs
88 Writing Linear Equations
89 Prediction equations
Extend 89 Graphing Technology Lab: Linear Regression
810 Systems of Equations
Chapter 9 Powers and Nonlinear Functions
Explore 91 More About: Factors
91 Powers and Exponents
92 Prime Factorization
Extend 92 More About: Applying Prime Factorization
93 Multiplying and Dividing Monomials
94 negative Exponents
95 Scientific Notation
Extend 95 More About: Computation with Scientific Notation
96 Powers of Monomials
97 Linear and Nonlinear Functions
Extend 97 More About: Geometric Sequences
98 Quadratic Functions
Extend Graphing Technology Lab: Family of Quadratic Functions
99 Cubic and Exponential Functions
Extend Algebra Lab: A HalfLife Simulation
Unit 4 Two and ThreeDimensional Space
Chapter 10 Real Numbers and Right Triangles
Explore 101 Algebra Lab: Squares and Square Roots
101 Squares and Square Roots
Extend 101 More About: Cube Roots
Explore 102 More About: Sets
102 The Real Number System
Explore 103 Geometry Lab: Angles in a Triangle
103 Triangles
Extend 103 Geometry Lab: The Triangle Inequality Theorem
Explore 104 Algebra Lab: The Pythagorean Theorem
104 The Pythagorean Theorem
Extend 104 Algebra Lab: Graphing Irrational Numbers
105 The Distance Formula
106 Special Right Angles
Extend 106 More About: Trigonometric Ratios
Chapter 11 Distance and Angle
Explore 111 More About: Measuring and Drawing Angles
111 Angle and Line Relationships
Extend 111 Geometry Lab: Constructing Angles and Lines
112 Congruent Triangles
113 Rotations
Explore 114 Geometry Lab: Angles in Polygons
114 Quadrilaterals
115 Polygons
Extend 115 Geometry Lab: Constructing Congruent and Similar Polygons
116 Area of Parallelograms, Triangles, and Trapezoids
Extend 116 More About: Perimeter and Area of Similar Figures
117 Circles and Circumference
Extend 117 Geometry Lab; Intersections of Geometric Figures
118 Area of Circles
119 Area of Composite Figures
Extend 119 Spreadsheet Lab: Changes in Scale
Chapter 12 Surface Area and Volume
Explore 121 Geometry Lab: Drawing ThreeDimensional Figures
121 ThreeDimensional Figures
Explore 122 Geometry Lab: Volume
122 Volume of Prisms
123 Volume of Cylinders
Explore 124 Geometry Lab: Volume of a Pyramid
124 Volume of Pyramids, Cones, and Spheres
Explore 125 Geometry Lab: Surface Area of Prisms
125 Surface Area of Prisms
Explore 126 Geometry Lab: Surface Area of Cylinders
126 Surface Area of Cylinders
127 Surface Area of Pyramids and Cones
Extend 127 Geometry Lab: Surface Area of Spheres
Explore 128 Geometry Lab: Similar Solids
128 Similar Solids
Unit 5 Data Sets
Chapter 13 Statistics and Probability
Explore 131 Algebra Lab: Analyzing Data
131 Measures of Central Tendency
Extend 131 Graphing Technology Lab: Mean and Median
Explore 132 More About: Statistical Displays
132 StemandLeaf Plots
133 Measures of Variation
134 Boxand Whisker Plots
Extend 134 Graphing Technology Lab: Boxand Whisker Plots
135 Histograms
Extend 135 Graphing Technology Lab: Histograms
136 Theoretical and Experimental Probability
Extend 136 More About: Geometric Probability
137 Using Sampling to Predict
138 Counting Outcomes
Extend 138 Algebra Lab: Probability and Pascal’s Triangle
139 Permutations and Combinations
Explore 1310 Graphing Technology Lab: Probability Simulation
1310 Probability of Compound Events
Extend 1310 Algebra Lab: Simulations
Chapter 14 Looking Ahead to Algebra 1
141 Polynomials
142 Adding Polynomials
143 Subtracting Polynomials
144 Multiply a Binomial by a Monomial
145 Multiply Two Binomials
146 dividing a Polynomial by a Monomial
147 Using GCF to Factor Polynomials
148 Factoring Trinomials
About the Author
McGrawHill
McGrawHill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide
PreAlgebra Student Edition
Chapter 0 Preparing for PreAlgebra
01 A Plan for Problem Solving
02 ProblemSolving Strategies
03 Number and Operations
04 Algebra
05 Geometry
06 Measurement
07 Data Analysis
Unit 1 Rational Numbers and Equations
Chapter 1 The Tools of Algebra
11 Words and Expressions
Explore 12 Algebra Lab: Rules and Expressions
12 Variable and Expressions
Extend 12 Spreadsheet Lab: Expressions and Spreadsheets
13 Properties
14 Ordered Pairs and Relations
Explore 15 Algebra Lab: Relations and Functions
15 Words, Equations, Tables, and Graphs
Explore 16 Algebra Lab: Scatter Plots
16 Scatter Plots
Extend 16 Graphing Technology Lab: Scatter Plots
Chapter 2 Operations with Integers
21 Integers and Absolute Value
Explore 22 algebra Lab: Adding Integers
22 Adding Integers
Explore 23 Algebra Lab: Subtracting Integers
23 Subtracting Integers
Extend 23 More About: Adding and Subtracting with Matrices
Explore 24 Algebra Lab: Multiplying Integers
24 Multiplying Integers
Explore 25 Algebra Lab: Dividing Integers
25 Dividing Integers
26 Graphing in Four Quadrants
27 Translations and Reflections on the Coordinate Plane
Chapter 3 Operations with Rational Numbers
Explore 31 Algebra Lab: Fractions and Decimals on the Number Line
31 Fractions and Decimals
32 Rational Numbers
33 Multiplying and Rational Numbers
34 Dividing Rational Numbers
35 Adding and Subtracting Like Fractions
36 Adding and Subtracting Unlike Fractions
Chapter 4 Expressions and Equations
41 The Distributive Property
Explore 42 Algebra Lab: Simplifying Algebraic Expressions
42 Simplifying Algebraic Expressions
43 Solving Equations by Adding and Subtracting
44 Solving Equations by Multiplying or Dividing
Explore 45 Algebra Lab: Solving TwoStep Equations Using Algebra Tiles
45 Solving TwoStep Equations
46 Writing Equations
Chapter 5 MultiStep Equations and Inequalities
51 Perimeter and Area
Extend 51 Spreadsheet Lab: Perimeter and Area
52 Solving Equations with Variables on Each Side
53 Inequalities
54 Solving Inequalities
55 Solving MultiStep Equations and Inequalities
Unit 2 Proportions and Similarity
Chapter 6 Ratio, Proportion, and Similar Figures
61 Ratios
62 Unit Rates
63 Converting Rates and Measurements
Extend 63 Geometry Lab: Accuracy and Precision
64 Proportional and Nonproportional Relationships
65 Solving Proportions
Extend 65 Algebra Lab: Inverse Proportions
66 Scale Drawings and Models
Explore 67 Geometry Lab: Similar Figures
67 Similar Figures
68 Dilations
69 Indirect Measurement
Chapter 7 Percent
71 Fractions and Percents
72 Fractions, Decimals, and Percents
Explore 73 Algebra Lab: Using a Percent Model
73 Using the Percent Proportion
74 Find a Percent of a Number Mentally
75 Using Percent Equations
Explore 76 Algebra Lab: Modeling Percents and Change
76 Percent of Change
77 Simple and Compound Interest
Extend 77 Spreadsheet Lab: Compound Interest
78 Circle Graphs
Unit 3 Linear and Nonlinear Functions
Chapter 8 Linear Functions and Graphing
81 Functions
82 Sequences and Equations
83 Representing Linear Functions
Extend 83 More About: Representing Linear Inequalities
84 Rate of Change
85 Constant Rate of Change and Direct Variation
Explore 86 Graphing Technology Lab: Scope and Rate of Change
86 Slope
Explore 87 Algebra Lab: Proportional and Nonproportional Linear Relationships
87 SlopeIntercept Form
Extend 87 Graphing Technology Lab: Family of Linear Graphs
88 Writing Linear Equations
89 Prediction equations
Extend 89 Graphing Technology Lab: Linear Regression
810 Systems of Equations
Chapter 9 Powers and Nonlinear Functions
Explore 91 More About: Factors
91 Powers and Exponents
92 Prime Factorization
Extend 92 More About: Applying Prime Factorization
93 Multiplying and Dividing Monomials
94 negative Exponents
95 Scientific Notation
Extend 95 More About: Computation with Scientific Notation
96 Powers of Monomials
97 Linear and Nonlinear Functions
Extend 97 More About: Geometric Sequences
98 Quadratic Functions
Extend Graphing Technology Lab: Family of Quadratic Functions
99 Cubic and Exponential Functions
Extend Algebra Lab: A HalfLife Simulation
Unit 4 Two and ThreeDimensional Space
Chapter 10 Real Numbers and Right Triangles
Explore 101 Algebra Lab: Squares and Square Roots
101 Squares and Square Roots
Extend 101 More About: Cube Roots
Explore 102 More About: Sets
102 The Real Number System
Explore 103 Geometry Lab: Angles in a Triangle
103 Triangles
Extend 103 Geometry Lab: The Triangle Inequality Theorem
Explore 104 Algebra Lab: The Pythagorean Theorem
104 The Pythagorean Theorem
Extend 104 Algebra Lab: Graphing Irrational Numbers
105 The Distance Formula
106 Special Right Angles
Extend 106 More About: Trigonometric Ratios
Chapter 11 Distance and Angle
Explore 111 More About: Measuring and Drawing Angles
111 Angle and Line Relationships
Extend 111 Geometry Lab: Constructing Angles and Lines
112 Congruent Triangles
113 Rotations
Explore 114 Geometry Lab: Angles in Polygons
114 Quadrilaterals
115 Polygons
Extend 115 Geometry Lab: Constructing Congruent and Similar Polygons
116 Area of Parallelograms, Triangles, and Trapezoids
Extend 116 More About: Perimeter and Area of Similar Figures
117 Circles and Circumference
Extend 117 Geometry Lab; Intersections of Geometric Figures
118 Area of Circles
119 Area of Composite Figures
Extend 119 Spreadsheet Lab: Changes in Scale
Chapter 12 Surface Area and Volume
Explore 121 Geometry Lab: Drawing ThreeDimensional Figures
121 ThreeDimensional Figures
Explore 122 Geometry Lab: Volume
122 Volume of Prisms
123 Volume of Cylinders
Explore 124 Geometry Lab: Volume of a Pyramid
124 Volume of Pyramids, Cones, and Spheres
Explore 125 Geometry Lab: Surface Area of Prisms
125 Surface Area of Prisms
Explore 126 Geometry Lab: Surface Area of Cylinders
126 Surface Area of Cylinders
127 Surface Area of Pyramids and Cones
Extend 127 Geometry Lab: Surface Area of Spheres
Explore 128 Geometry Lab: Similar Solids
128 Similar Solids
Unit 5 Data Sets
Chapter 13 Statistics and Probability
Explore 131 Algebra Lab: Analyzing Data
131 Measures of Central Tendency
Extend 131 Graphing Technology Lab: Mean and Median
Explore 132 More About: Statistical Displays
132 StemandLeaf Plots
133 Measures of Variation
134 Boxand Whisker Plots
Extend 134 Graphing Technology Lab: Boxand Whisker Plots
135 Histograms
Extend 135 Graphing Technology Lab: Histograms
136 Theoretical and Experimental Probability
Extend 136 More About: Geometric Probability
137 Using Sampling to Predict
138 Counting Outcomes
Extend 138 Algebra Lab: Probability and Pascal’s Triangle
139 Permutations and Combinations
Explore 1310 Graphing Technology Lab: Probability Simulation
1310 Probability of Compound Events
Extend 1310 Algebra Lab: Simulations
Chapter 14 Looking Ahead to Algebra 1
141 Polynomials
142 Adding Polynomials
143 Subtracting Polynomials
144 Multiply a Binomial by a Monomial
145 Multiply Two Binomials
146 dividing a Polynomial by a Monomial
147 Using GCF to Factor Polynomials
148 Factoring Trinomials
About the Author
McGrawHill
McGrawHill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide