SAT Math For Dummies (2010)
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Mark Zegarelli
SAT-SET math
wiley publishing
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SAT Math For Dummies (2010)
Preparing book pages
1
Entries
238
Introduction
Other
Page 17
About This Book
Other
Page 17
Conventions Used in This Book
Other
Page 18
Common Assumptions
Other
Page 18
How This Book Is Organized
Other
Page 18
Part I Overview: SAT Math
Other
Page 18
Part II Overview: Math Skills Review
Other
Page 19
Part III Overview: SAT Problem-Solving
Other
Page 19
Part IV Overview: SAT Math Practice Tests
Other
Page 19
Part V Overview: Ten Tips
Other
Page 19
Icons Used in This Book
Other
Page 20
Where to Go from Here
Other
Page 20
Part I. SAT Math Overview and Planning
Other
Page 21
Chapter 1. SAT Math Basics
Theory
Page 23
1.1 Overview of SAT Math Sections
Theory
Page 23
1.2 Math You Need for the SAT
Theory
Page 24
1.2A Arithmetic Questions
Theory
Page 24
1.2B Algebra Problems
Theory
Page 25
1.2C Geometry Problems
Theory
Page 28
1.2D Functions and Coordinate Geometry
Theory
Page 30
1.2E Rounding Skills
Theory
Page 32
1.3 Advanced Topics Not Covered on the SAT
Theory
Page 34
1.4 Building Problem-Solving Skills
Theory
Page 35
1.4A Solving Word Problems
Theory
Page 35
1.4B Choosing the Right Tools
Theory
Page 35
Chapter 2. SAT Math Test-Taking Skills
Theory
Page 37
2.1 Two Types of SAT Math Questions
Theory
Page 37
2.1A Multiple-Choice Questions
Theory
Page 37
2.1B Grid-In Questions
Theory
Page 38
2.2 Important Fine Print
Theory
Page 41
2.2A General SAT Assumptions
Theory
Page 41
2.2B Reference Facts and Formulas
Theory
Page 43
2.3 Time Management
Theory
Page 43
2.4 Calculator Strategy
Theory
Page 44
2.4A Choosing a Calculator
Theory
Page 44
2.4B Essential Calculator Skills
Theory
Page 45
2.4C Other Useful Calculator Features
Theory
Page 45
2.4D Step-by-Step Calculations
Theory
Page 46
2.4E Knowing When to Use a Calculator
Theory
Page 47
2.5 Using Flash Cards
Theory
Page 47
2.5A Effective Flash-Card Use
Theory
Page 47
2.5B Choosing What to Put on Flash Cards
Theory
Page 48
Part II. Math Skills Review
Other
Page 49
Chapter 3. Numbers and Arithmetic Review
Theory
Page 51
3.1 Working with Integers
Theory
Page 51
3.2 Digit Computation
Theory
Page 52
3.3 Number Lines
Theory
Page 53
3.4 Divisibility, Factors, and Multiples
Theory
Page 54
3.4A Testing Divisibility
Theory
Page 55
3.4B Finding Factors
Theory
Page 56
3.4C Working with Multiples
Theory
Page 58
3.5 Understanding Percents
Theory
Page 59
3.5A Converting Percents and Decimals
Theory
Page 59
3.5B Percent Increase and Decrease
Theory
Page 61
3.6 Ratios and Comparisons
Theory
Page 63
3.6A Ratios as Fractions
Theory
Page 64
3.6B Proportions
Theory
Page 65
3.7 Exponents and Roots
Theory
Page 66
3.7A Squares and Square Roots
Theory
Page 66
3.7B Expressions with Exponents and Roots
Theory
Page 67
3.7C Fractional Bases
Theory
Page 68
3.7D Fractional Exponents
Theory
Page 69
Chapter 3 Practice Problems
Problem
Page 70
Chapter 3 Practice Solutions
Answer
Page 73
Chapter 4. Algebra Review
Theory
Page 79
4.1 Core Algebra Concepts
Theory
Page 79
4.1A Algebra Vocabulary
Theory
Page 80
4.1B Translating Words into Algebra
Theory
Page 81
4.2 Algebraic Expressions
Theory
Page 82
4.2A Evaluating Expressions
Theory
Page 82
4.2B Simplifying Expressions
Theory
Page 83
4.2C Factoring
Theory
Page 86
4.3 Solving Algebraic Equations
Theory
Page 88
4.3A Isolating a Variable
Theory
Page 89
4.3B Equations with Fractions
Theory
Page 89
4.3C Factoring Quadratic Equations
Theory
Page 90
4.3D Equations with Two Exponential Variables
Theory
Page 91
4.3E Equations with Radicals
Theory
Page 91
4.3F Absolute-Value Equations
Theory
Page 92
4.4 Problems with More Than One Variable
Theory
Page 93
4.4A Solving for Other Variables
Theory
Page 93
4.4B Equations with Extra Variables
Theory
Page 94
4.4C Systems of Equations
Theory
Page 94
4.5 Solving Inequalities
Theory
Page 96
4.5A Basic Inequalities
Theory
Page 96
4.5B Absolute-Value Inequalities
Theory
Page 97
4.6 New Math Notation
Theory
Page 99
Chapter 4 Practice Problems
Problem
Page 100
Chapter 4 Practice Solutions
Answer
Page 103
Chapter 5. Geometry Review
Theory
Page 109
5.1 Working with Angles
Theory
Page 109
5.1A Vertical Angles
Theory
Page 109
5.1B Supplementary Angles
Theory
Page 110
5.1C Right and Complementary Angles
Theory
Page 111
5.1D Parallel Lines and Corresponding Angles
Theory
Page 112
5.1E Triangle Angle Sum
Theory
Page 113
5.2 Triangles
Theory
Page 114
5.2A Triangle Area
Theory
Page 115
5.2B Right Triangles
Theory
Page 115
5.2C Triangle Inequality
Theory
Page 119
5.2D Congruent and Similar Triangles
Theory
Page 120
5.3 Quadrilaterals
Theory
Page 123
5.3A Squares
Theory
Page 123
5.3B Rectangles
Theory
Page 124
5.3C Parallelograms
Theory
Page 125
5.4 Circles
Theory
Page 127
5.4A Radius and Diameter
Theory
Page 127
5.4B Circle Area
Theory
Page 128
5.4C Circumference
Theory
Page 128
5.4D Angles in a Circle
Theory
Page 129
5.4E Tangent Lines
Theory
Page 130
5.5 Solid Geometry
Theory
Page 131
5.5A Rectangular-Solid Volume
Theory
Page 131
5.5B Cylinder Volume
Theory
Page 132
5.5C Pyramids and Cones
Theory
Page 133
5.6 Geometric Visualization
Theory
Page 135
5.6A Rotations
Theory
Page 135
5.6B Views of 3-D Objects
Theory
Page 137
5.6C Surface Information
Theory
Page 138
Chapter 5 Practice Problems
Problem
Page 140
Chapter 5 Practice Solutions
Answer
Page 148
Chapter 6. Functions and Coordinate Geometry
Theory
Page 155
6.1 Understanding Mathematical Functions
Theory
Page 155
6.1A Basic Idea of a Function
Theory
Page 155
6.1B Input-Output Tables
Theory
Page 156
6.1C Function Notation
Theory
Page 156
6.1D Domain and Range
Theory
Page 158
6.2 Coordinate Geometry
Theory
Page 160
6.2A Plotting Points
Theory
Page 160
6.2B Collinear Points
Theory
Page 161
6.2C Slope
Theory
Page 164
6.3 Graphing Linear Functions
Theory
Page 167
6.4 Quadratic Functions
Theory
Page 170
6.4A Solving Quadratic Equations
Theory
Page 170
6.4B Graphing Quadratic Functions
Theory
Page 173
6.5 Graph Transformations
Theory
Page 176
6.5A Graph Reflections
Theory
Page 177
6.5B Graph Shifts
Theory
Page 178
Chapter 6 Practice Problems
Problem
Page 179
Chapter 6 Practice Solutions
Answer
Page 186
Chapter 7. Other SAT Math Skills
Theory
Page 191
7.1 Sequences
Theory
Page 191
7.2 Set Theory
Theory
Page 192
7.2A Union and Intersection
Theory
Page 193
7.2B Important Sets
Theory
Page 194
7.2C Venn Diagrams
Theory
Page 195
7.3 Logic Questions
Theory
Page 196
7.4 Averages and Statistics
Theory
Page 198
7.4A Mean, Median, and Mode
Theory
Page 198
7.4B Weighted Averages
Theory
Page 200
7.4C Mean of Algebraic Expressions
Theory
Page 201
7.5 Probability Problems
Theory
Page 202
7.5A Possible Outcomes
Theory
Page 203
7.5B Calculating Probability
Theory
Page 205
7.5C Geometric Probability
Theory
Page 206
7.6 Interpreting Data from Graphs
Theory
Page 207
7.6A Bar Graphs
Theory
Page 208
7.6B Pictograms
Theory
Page 208
7.6C Pie Charts
Theory
Page 209
7.6D Line Graphs
Theory
Page 210
7.6E Scatterplots
Theory
Page 211
Chapter 7 Practice Problems
Problem
Page 214
Chapter 7 Practice Solutions
Answer
Page 220
Part III. SAT Problem-Solving Strategies
Other
Page 225
Chapter 8. SAT Word Problems
Theory
Page 227
8.1 Solving Word Problems with Equations
Theory
Page 227
8.1A Translating Grouped Expressions
Theory
Page 228
8.1B Translating Fraction Equations
Theory
Page 229
8.1C Choosing a Convenient Variable
Theory
Page 230
8.1D Systems with More Than One Variable
Theory
Page 231
8.2 Using Charts for Word Problems
Theory
Page 233
8.3 Sketching Word Problems
Theory
Page 236
8.3A Distance Diagrams
Theory
Page 236
8.3B Timelines
Theory
Page 238
8.3C Uncovering Hidden Geometry
Theory
Page 239
Chapter 8 Practice Problems
Problem
Page 241
Chapter 8 Practice Solutions
Answer
Page 244
Chapter 9. SAT Math Strategy
Theory
Page 253
9.1 Quickly Assessing Problem Difficulty
Theory
Page 253
9.2 Working with Math Formulas
Theory
Page 254
9.2A Knowing the Right Formulas
Theory
Page 254
9.2B Answering Formula Questions
Theory
Page 256
9.3 Planning Tough Questions
Theory
Page 258
9.4 SAT Problem-Solving Tips
Theory
Page 259
9.4A Using Five Available Resources
Theory
Page 259
9.4B Putting Your Brain to Work
Theory
Page 261
Part IV. SAT Math Practice Tests
Other
Page 265
Chapter 10. Practice Test 1
Test
Page 267
Practice Test 1 — Section 1
Test
Page 271
Practice Test 1 — Section 2
Test
Page 276
Practice Test 1 — Section 3
Test
Page 280
Chapter 11. Practice Test 1 Answers and Explanations
Answer
Page 285
Practice Test 1 Section 1 Solutions
Answer
Page 285
Practice Test 1 Section 2 Solutions
Answer
Page 289
Practice Test 1 Section 3 Solutions
Answer
Page 294
Practice Test 1 Answer Key
Answer
Page 297
Chapter 12. Practice Test 2
Test
Page 299
Practice Test 2 — Section 1
Test
Page 303
Practice Test 2 — Section 2
Test
Page 308
Practice Test 2 — Section 3
Test
Page 314
Chapter 13. Practice Test 2 Answers and Explanations
Answer
Page 319
Practice Test 2 Section 1 Solutions
Answer
Page 319
Practice Test 2 Section 2 Solutions
Answer
Page 323
Practice Test 2 Section 3 Solutions
Answer
Page 327
Practice Test 2 Answer Key
Answer
Page 331
Chapter 14. Practice Test 3
Test
Page 333
Practice Test 3 — Section 1
Test
Page 337
Practice Test 3 — Section 2
Test
Page 342
Practice Test 3 — Section 3
Test
Page 347
Chapter 15. Practice Test 3 Answers and Explanations
Answer
Page 351
Practice Test 3 Section 1 Solutions
Answer
Page 351
Practice Test 3 Section 2 Solutions
Answer
Page 356
Practice Test 3 Section 3 Solutions
Answer
Page 360
Practice Test 3 Answer Key
Answer
Page 365
Part V. Ten Tips
Other
Page 367
Chapter 16. Ten Tips to Improve Your SAT Math Score
Other
Page 369
16.1 Study Diligently in Math Class
Other
Page 369
16.2 Improve Mental Arithmetic
Other
Page 369
16.3 Master Your Calculator
Other
Page 370
16.4 Study SAT-Specific Math Skills
Other
Page 370
16.5 Study SAT Problem-Solving Skills
Other
Page 370
16.6 Become Comfortable Turning Words into Numbers
Other
Page 370
16.7 Take Timed Practice Tests
Other
Page 371
16.8 Review Timed Practice Tests
Other
Page 371
16.9 Retake Timed Practice Tests
Other
Page 371
16.10 Take the SAT More Than Once
Other
Page 371
Chapter 17. Ten Tips for Doing Your Best on the SAT
Other
Page 373
17.1 Relax the Day Before the Test
Other
Page 373
17.2 Avoid Overstudying the Night Before
Other
Page 373
17.3 Pack What You Need the Night Before
Other
Page 374
17.4 Eat Well Before the Test
Other
Page 374
17.5 Get a Good Night’s Sleep
Other
Page 374
17.6 Wear Layers
Other
Page 374
17.7 Arrive Early
Other
Page 375
17.8 Use Pre-Test Time as You Prefer
Other
Page 375
17.9 Remember to Breathe
Other
Page 375
17.10 Skip Questions That Stump You
Other
Page 375
Index
Other
Page 377
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