SAT II Math.pdf

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Contents
The Importance of Subject Tests for College Admission .............................................................. 1
High Marks in School Are Not Enough ......................................................................................... 1
The SAT Program .......................................................................................................................... 1
What the Mathematics Tests Are Like ........................................................................................... 2
How to Prepare for Your Math Test ............................................................................................... 3
How to Take the Test ..................................................................................................................... 3
What Your Mathematics Test Score Means ................................................................................... 4
Applying for the Examination ....................................................................................................... 4
Rules of Conduct ........................................................................................................................... 5
Transmitting the Results ................................................................................................................ 5
Part 2
Outline of Topics
I. ARITHMETIC ...................................................................................................................... 7
II. ALGEBRA ............................................................................................................................ 8
III. GEOMETRY ....................................................................................................................... 10
IV. FUNCTIONS AND THEIR GRAPHS ............................................................................... 11
V. REAL NUMBER SYSTEM ............................................................................................... 12
VI. LOGIC ................................................................................................................................ 13
VII. SETS ................................................................................................................................... 13
VIII. TRIGONOMETRY ............................................................................................................. 14
IX. MISCELLANEOUS TOPICS ............................................................................................. 15
1. Formulas and Linear Equations .......................................................................................... 17
2. Algebraic Fractions ............................................................................................................. 19
3. Sets ...................................................................................................................................... 21
4. Functions ............................................................................................................................. 23
5. Exponents ............................................................................................................................ 26
6. Logarithms .......................................................................................................................... 29
7. Equations—Quadratic, Radical, and Exponential .............................................................. 31
8. Inequalities .......................................................................................................................... 35
9. Verbal Problems .................................................................................................................. 38
10. Geometry ............................................................................................................................. 41
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SAT II Math
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Contents
11. Trigonometry ...................................................................................................................... 61
12. Graphs and Coordinate Geometry ...................................................................................... 71
13. Number Systems and Concepts .......................................................................................... 75
14. Arithmetic and Geometric Progressions ............................................................................. 79
15. Vectors ................................................................................................................................. 82
16. Variation .............................................................................................................................. 85
1. Formulas and Linear Equations .......................................................................................... 89
2. Algebraic Fractions ............................................................................................................. 89
3. Sets ...................................................................................................................................... 90
4. Functions ............................................................................................................................. 91
5. Exponents ............................................................................................................................ 92
6. Logarithms .......................................................................................................................... 92
7. Equations—Quadratic and Radical ..................................................................................... 94
8. Inequalities .......................................................................................................................... 94
9. Verbal Problems .................................................................................................................. 95
10. Geometry ............................................................................................................................. 96
11. Trigonometry ...................................................................................................................... 98
12. Graphs and Coordinate Geometry ...................................................................................... 99
13. Number Systems and Concepts ........................................................................................ 101
14. Arithmetic and Geometric Progressions ........................................................................... 102
15. Vectors ............................................................................................................................... 102
16. Variation ............................................................................................................................ 103
Solutions to Practice Exercises .................................................................................................. 105
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