SAT Subject Test Math Level 2: Full-Length Practice Test 1 Part A

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Question 25 questions

Time 30 minutes

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1. A linear function, f, has a slope of -2. f(1) = 2 and f(2) = q. Find q.

A. 0
B.
C.
D. 3
E. 4

2. A function is said to be even if f(x) = f(-x). Which of the following is not an even function?

A. y = | x |
B. y = sec x
C. y = log x2
D. y = x2 + sin x
E. y = 3x4 - 2x2 + 17

3. What is the radius of a sphere, with center at the origin, that passes through point (2,3,4)?

A. 3
B. 3.31
C. 3.32
D. 5.38
E. 5.39

4. If a point (x,y) is in the second quadrant, which of the following must be true?

I. x < y

II. x + y > 0

III.

A. only I
B. only II
C. only III
D. only I and II
E. only I and III

5. If f(x) = x2 - ax, then f(a) =

A. a
B. a2 - a
C. 0
D. 1
E. a - 1

6. The average of your first three test grades is 78. What grade must you get on your fourth and final test to make your average 80?

A. 80
B. 82
C. 84
D. 86
E. 88

7. log7 9 =

A. 0.89
B. 0.95
C. 1.13
D. 1.21
E. 7.61

8. If log2m = x and log2n = y, then mn =

A. 2x+y
B. 2xy
C. 4xy
D. 4x+y
E. cannot be determined

9. How many integers are there in the solution set of | x - 2 | ≤ 5?

A. 0
B. 7
C. 9
D. 11
E. an infinite number

10. If , then f(x) can also be expressed as

A. x
B. -x
C. ± x
D. | x |
E. f (x) cannot be determined because x is unknown.

11. The graph of (x2 - 1)y = x2 - 4 has

A. one horizontal and one vertical asymptote
B. two vertical but no horizontal asymptotes
C. one horizontal and two vertical asymptotes
D. two horizontal and two vertical asymptotes
E. neither a horizontal nor a vertical asymptote

12.

A. -5
B.
C.
D. 1
E. This expression is undefined.

13. A linear function has an x-intercept of and a y-intercept of . The graph of the function has a slope of

A. -1.29
B. -0.77
C. 0.77
D. 1.29
E. 2.24

14. If f(x) = 2x - 1, find the value of x that makes f(f(x)) = 9.

A. 2
B. 3
C. 4
D. 5
E. 6

15. The plane 2x + 3y - 4z = 5 intersects the x-axis at (a,0,0), the y-axis at (0,b,0), and the z-axis at (0,0,c). The value of a + b + c is

A. 1
B.
C. 5
D.
E. 9

16. Given the set of data 1, 1, 2, 2, 2, 3, 3, 4, which one of the following statements is true?

A. mean ≤ median ≤ mode
B. median ≤ mean ≤ mode
C. median ≤ mode ≤ mean
D. mode ≤ mean ≤ median
E. The relationship cannot be determined because the median cannot be calculated.

17. If , what is the value of ?

A.
B. -2
C.
D.
E. 2

18. Find all values of x that make .

A. 0
B. ±1.43
C. ±3
D. ±4.47
E. 5.34

19. Suppose for -4 ≤ x ≤ 4, then the maximum value of the graph of | f (x) | is

A. -8
B. 0
C. 2
D. 4
E. 8

20. If tan , then sin =

A. ±0.55
B. ±0.4
C. 0.55
D. 0.83
E. 0.89

21. If a and b are the domain of a function and f(b) < f(a), which of the following must be true?

A. a < b
B. b < a
C. a = b
D. a b
E. a = 0 or b = 0

22. Which of the following is perpendicular to the line y = - 3x + 7 ?

A.
B. y = 7x - 3
C.
D.
E. y = 3x - 7

23. The statistics below provide a summary of IQ scores of 100 children.

Mean: 100
Median: 102
Standard Deviation: 10
First Quartile: 84
Third Quartile: 110
About 50 of the children in this sample have IQ scores that are

A. less than 84
B. less than 110
C. between 84 and 110
D. between 64 and 130
E. more than 100

24. If , then

A. f(x) = f(-x)
B.
C. f(-x) = -f(x)
D.
E.

25. The polar coordinates of a point P are (2,240°). The Cartesian (rectangular) coordinates of P are

A.
B.
C.
D.
E.