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Tables of Contents for Let's Review
Chapter/Section Title
Page #
Page Count
Preface
vii
Unit One Mathematical Reasoning
1
104
Working with Numbers and Variables
1
23
Algebraic Terms and Symbols
1
6
Properties of Real Numbers
7
6
Exponents and Scientific Notation
13
4
Order of Operations
17
3
Translating Between English and Algebra
20
4
Linear Equations and Inequalities
24
41
Solving One-Step Equations
24
3
Solving Multistep Equations
27
6
Solving Equations with Like Terms
33
7
Solving Percent Problems
40
6
Working with Formulas
46
7
Ratio and Proportion
53
6
Solving Inequalities
59
6
Problem Solving and Logical Reasoning
65
40
Problem-Solving Strategies
65
15
Solving Motion Problems
80
4
Solving Problems in Different Ways
84
5
Venn Diagrams and Counting
89
3
Connecting Two Statements
92
6
Combined Inequalities
98
7
Unit Two Geometry
105
66
Angles, Lines, and Polygons
105
37
Building a Geometry Vocabulary
105
7
Special Pairs of Angles
112
4
Parallel Lines
116
8
Classifying Polygons and Triangles
124
3
Triangle Angle Sum
127
9
Angles of a Polygon
136
6
Congruent Triangles and Special Quadrilaterals
142
29
Congruent Triangles
142
6
Isosceles Triangles
148
4
Inequalities in a Triangle
152
5
Parallelograms and Trapezoids
157
6
Special Parallelograms
163
8
Unit Three Algebraic Methods
171
68
Polynomial Arithmetic and Factoring
171
28
Classifying and Combining Polynomials
171
3
Multiplying and Dividing Polynomials
174
6
Factoring Polynomials
180
2
Special Factoring Techniques
182
6
Solving Quadratic Equations by Factoring
188
4
Solving Word Problems
192
7
Operations with Algebraic Fractions
199
20
Simplifying Algebraic Fractions
199
4
Multiplying and Dividing Algebraic Fractions
203
3
Converting Units of Measurement
206
3
Adding and Subtracting Algebraic Fractions
209
6
Solving Equations with Fractions
215
4
Radicals and Right Triangles
219
20
Square Roots and Real Numbers
219
5
Arithmetic Operations with Radicals
224
4
The Pythagorean Theorem
228
6
Side Relationships in Special Right Triangles
234
5
Unit Four Areas, Volume, and Measurement
239
48
Area, Circumference, and Volume
239
27
Areas of Triangles and Special Quadrilaterals
239
11
Circumference and Area of a Circle
250
6
Areas of Overlapping Figures
256
4
Volumes of Circular Solids
260
6
Similar Triangles and Trigonometric Ratios
266
21
Comparing Sides of Similar Polygons
266
6
Right Triangle Trigonometry
272
7
Solving Problems Using Trigonometry
279
8
Unit Five Graphs and Transformations
287
112
Linear Equations and Their Graphs
287
41
Coordinates and Area
287
5
Midpoint and Distance Formulas
292
4
Slope of a Line
296
8
Equations of Lines
304
8
Graphing Linear Equations
312
5
Direct Variation
317
4
Using Graphs as Mathematical Models
321
7
Points that Satisfy Conditions
328
24
Observing Symmetry
328
3
Types of Transformations
331
6
Transformations in the Coordinate Plane
337
6
Simple Locus
343
3
Satisfying More Than One Locus Condition
346
6
Systems of Linear Equations and Inequalities
352
22
Solving Linear Systems Graphically
352
8
Solving Linear Systems by Substitution
360
6
Solving Linear Systems by Addition
366
8
Quadratic Equations and their Graphs
374
25
General Equation of a Circle
374
5
Graphing Vertical Parabolas
379
9
Learning More About Parabolas
388
4
Solving Linear-Quadratic Systems
392
7
Unit Six Probability and Statistics
399
57
Simple Probability and Statistics
399
31
Finding Simple Probabilities
399
6
Statistical Measures
405
5
Percentiles and Quartiles
410
4
Histograms and Stem-and-Leaf Plots
414
8
Cumulative Frequency Tables and Histograms
422
8
Probability and Counting Methods
430
26
Probability of a Compound Event
430
4
Probability Formulas
434
7
Permutations
441
6
Combinations
447
9
ANSWERS AND SOLUTION HINTS
456
20
GLOSSARY OF MATH A TERMS
476
8
APPENDIX I BASIC GEOMETRIC CONSTRUCTIONS
484
8
APPENDIX II THE MATH A REGENTS EXAM
492
31
Recent Regents Examinations with Answers
494
29
Index
523