Let's review Book

	Preface	vii
Unit 1	Mathematical Reasoning	1
Chapter 1	Workings With Numbers and Variables	1
1.1	Algebraic Terms and Symbols	1
1.2	Properties of Real Numbers	7
1.3	Exponents and Scientific Notation	13
1.4	Order of Operations	17
1.5	Translating Between English and Algebra	20
Chapter 2	Linear Equations and Inequalities	24
2.1	Solving One-Step Equations	24
2.2	Solving Multistep Equations	27
2.3	Solving Equations with Like Terms	33
2.4	Solving Percent Problems	40
2.5	Working with Formulas	46
2.6	Ratio and Proportion	53
2.7	Solving Inequalities	59
Chapter 3	Problem Solving and Logical Reasoning	65
3.1	Problem-Solving Strategies	65
3.2	Solving Motion Problems	80
3.3	Solving Problems in Different Ways	84
3.4	Venn Diagrams and Counting	89
3.5	Connecting Two Statements	92
3.6	Combined Inequalities	98
Unit 2	Geometry	105
Chapter 4	Angles, Lines, and Polygons	105
4.1	Building a Geometry Vocabulary	105
4.2	Special Pairs of Angles	112
4.3	Parallel Lines	116
4.4	Classifying Polygons and Triangles	124
4.5	Triangle Angle Sum	127
4.6	Angles of a Polygon	136
Chapter 5	Congruent Triangles and Special Quadrilaterals	142
5.1	Congruent Triangles	142
5.2	Isosceles Triangles	148
5.3	Inequalities in a Triangle	152
5.4	Parallelograms and Trapezoids	157
5.5	Special Parallelograms	163
Unit 3	Algebraic Methods	171
Chapter 6	Polynomial Arithmetic and Factoring	171
6.1	Classifying and Combining Polynomials	171
6.2	Multiplying and Dividing Polynomials	174
6.3	Factoring Polynomials	180
6.4	Special Factoring Techniques	182
6.5	Solving Quadratic Equations by Factoring	188
6.6	Solving Word Problems	192
Chapter 7	Operations with Algebraic Fractions	199
7.1	Simplifying Algebraic Fractions	199
7.2	Multiplying and Dividing Algebraic Fractions	203
7.3	Converting Units of Measurement	206
7.4	Adding and Subtracting Algebraic Fractions	209
7.5	Solving Equations with Fractions	215
Chapter 8	Radicals and Right Triangles	219
8.1	Square Roots and Real Numbers	219
8.2	Arithmetic Operations with Radicals	224
8.3	The Pythagorean Theorem	228
8.4	Side Relationships in Special Right Triangles	234
Unit 4	Area, Volume, and Measurement	239
Chapter 9	Area, Circumference, and Volume	239
9.1	Areas of Triangles and Special Quadrilaterals	239
9.2	Circumference and Area of a Circle	250
9.3	Areas of Overlapping Figures	256
9.4	Volumes of Circular Solids	260
Chapter 10	Similar Triangles and Trigonometric Ratios	266
10.1	Comparing Sides of Similar Polygons	266
10.2	Right Triangle Trigonometry	272
10.3	Solving Problems Using Trigonometry	279
Unit 5	Graphs and Transformations	287
Chapter 11	Linear Equations and Their Graphs	287
11.1	Coordinates and Area	287
11.2	Midpoint and Distance Formulas	292
11.3	Slope of a Line	296
11.4	Equations of Lines	304
11.5	Graphing Linear Equations	312
11.6	Direct Variation	317
11.7	Using Graphs as Mathematical Models	321
Chapter 12	Points That Satisfy Conditions	328
12.1	Observing Symmetry	328
12.2	Types of Transformations	331
12.3	Transformations in the Coordinate Plane	337
12.4	Simple Locus	343
12.5	Satisfying More Than One Locus Condition	346
Chapter 13	Systems of Linear Equations and Inequalities	352
13.1	Solving Linear Systems Graphically	352
13.2	Solving Linear Systems by Substitution	360
13.3	Solving Linear Systems by Addition	366
Chapter 14	Quadratic Equations and Their Graphs	374
14.1	General Equation of a Circle	374
14.2	Graphing Vertical Parabolas	379
14.3	Learning More About Parabolas	388
14.4	Solving Linear-Quadratic Systems	392
Unit 6	Probability and Statistics	399
Chapter 15	Simple Probability and Statistics	399
15.1	Finding Simple Probabilities	399
15.2	Statistical Measures	405
15.3	Percentiles and Quartiles	410
15.4	Histograms and Stem-and-Leaf Plots	414
15.5	Cumulative Frequency Tables and Histograms	422
Chapter 16	Probability and Counting Methods	430
16.1	Probability of a Compound Event	430
16.2	Probability Formulas	434
16.3	Permutations	441
16.4	Combinations	447
	Answers and Solution Hints	456
	Glossary of Math a Terms	476
Appendix I	Basic Geometric Constructions	484
Appendix II	The Math a Regents Exam	492
	Recent Regents Examinations with Answers	494
	Index	523