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Tables of Contents for Let's Review
Chapter/Section Title
Page #
Page Count
Preface
vii
Unit One Geometric Proofs and Circles
1
112
Proofs With Triangles
1
31
Basic Geometric Terms and Facts
1
6
Proving Traingles Congruent
7
5
Applying Congruent Triangles
12
6
The Isosceles Triangle
18
4
Using Pairs of Congruent Triangles
22
3
Indirect Proofs
25
3
Geometric Inequalities
28
4
Quadrilaterals and Coordinates
32
29
Parallel Lines
32
3
Writing Equations of Lines
35
6
Parallelograms
41
4
Special Parallelograms
45
6
Trapezoids
51
5
General Coordinate Proofs
56
5
Similar and Right Triangles
61
22
Ratio and Proportion
61
6
Proving Triangles Similar
67
3
Proving Products of Sides Equal
70
3
Proportions in a Right Triangle
73
6
Special Right Triangles
79
4
Circles and Angle Measurement
83
30
Circle Parts and Relationships
83
8
Circumference and Area
91
4
Circle Angle Measurement
95
10
Similar Triangles and Circles
105
8
Unit Two Algebraic and Graphical Representations
113
90
Algebraic Operations
113
26
Real Numbers and Exponents
113
6
Factoring Methods
119
4
Writing Equivalent Fractions
123
2
Multiplying and Dividing Algebraic Fractions
125
3
Adding and Subtracting Algebraic Fractions
128
3
Complex Fractions
131
3
Operations with Radicals
134
5
Functions and Graphing Calculators
139
30
Understanding Functions
139
6
Using a Graphing Calculator
145
8
Graphing Quadratic Functions
153
4
Solving Quadratic Equations
157
6
Applying Quadratic Functions
163
6
Equations and Inequalities
169
17
Solving Absolute-Value Equations and Inequalities
169
5
Solving Quadratic Inequalities
174
2
Solving Radical Equations
176
3
Solving Fractional Equations
179
7
Complex Numbers
186
17
The Set of Complex Numbers
186
3
Multiplying and Dividing Complex Numbers
189
3
The Quadratic Formula
192
6
Roots and Coefficients of Quadratic Equations
198
5
Unit Three Transformations, Functions, and Growth
203
56
Transformations and Functions
203
33
Reflections and Translations
203
7
Rotations and Dilations
210
2
Composite Functions
212
5
Composite Transformations
217
4
Inverses of Functions
221
6
Graphs of Quadratic Relations
227
6
Types of Variation
233
3
Exponential and Logarithmic Functions
236
23
The Exponential Functions
236
3
The Logarithmic Function
239
6
Logarithm Laws
245
5
Solving Exponential Equations
250
2
Exponential Growth and Decay
252
7
Unit Four Regression and Probability
259
46
Fitting Lines and Curves to Data
259
21
Linear Modeling
259
4
Fitting Lines to Data
263
9
Quadratic Modeling
272
2
Fitting Curves to Data
274
6
Probability and Normal Curves
280
25
Binomial Probabilities
280
7
The Binomial Theorem
287
3
Descriptive Statistics
290
8
The Normal Curve
298
7
Unit Five Trigonometric Functions and Laws
305
89
Trigonometric Functions and Their Graphs
305
47
Trigonometric Functions and Angles
305
4
Radian Measure and Arc Length
309
3
Angles in Standard Position
312
7
Working with Trigonometric Functions
319
3
Trigonometric Functions of Special Angles
322
6
Graphs of Periodic Functions
328
7
Graphing y = a sin bx and y = a cos bx
335
5
Transformations of Trigonometric Functions
340
5
Graphing the Tangent Function
345
2
Inverse Trigonometric Functions
347
5
Trigonometric Identities and Equations
352
20
Trigonometric Identities
352
3
Solving Trigonometric Equations
355
5
Sum and Difference Identities
360
5
Double-Angle Identities
365
3
Half-Angle Identities
368
4
Laws of Sines and Cosines
372
22
Area of Triangle
372
2
The Law of Sines
374
8
The Ambiguous Case
382
5
The Law of Cosines
387
4
Parallelogram of Forces
391
3
ANSWERS AND SOLUTION HINTS
394
24
GLOSSARY OF MATH B TERMS
418
9
APPENDIX THE MATH B REGENTS EXAMINATION
427
28
Recent Regents Examinations with Answers
429
26
Index
455