# SAT Subject Test Math Level 2: Full-Length Practice Test 4 Part A

### Test Information

25 questions

30 minutes

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1. The slope of a line that is perpendicular to 3x + 2y = 7 is

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

2. What is the remainder when 3x4 - 2x3 - 20x2 - 12 is divided by x + 2?

A. -60
B. -36
C. -28
D. -6
E. -4

3. If , then

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

4. If f(x) = 2 ln x + 3 and g(x) = ex, then f(g(3)) =

A. 9
B. 11
C. 43.17
D. 47.13
E. 180.77

5. The domain of f(x) = log10 (sin x) contains which of the following intervals?

A.
B.
C.
D.
E.

6. Which of the following is the ratio of the surface area of the sphere with radius r to its volume?

A.
B.
C.
D.
E.

7. If the two solutions of x2- 9x + c = 0 are complex conjugates, which of the following describes all possible values of c ?

A. c =0
B. c 0
C. c < 9
D.
E. c > 81

8. If tan x = 3, the numerical value of is

A. 0.32
B. 0.97
C. 1.03
D. 1.78
E. 3.16

9.

In the figure above, the graph of y = f(x) has two transformations performed on it. First it is rotated 180° about the origin, and then it is reflected about the x-axis. Which of the following is the equation of the resulting curve?

A. y = -f(x)
B. y = f(x + 2)
C. x = f(y)
D. y = f(x)
E. none of the above

10.

A. 0
B.
C. 1
D. 3
E.

11. The set of points (x, y, z) such that x = 5 is

A. a point
B. a line
C. a plane
D. a circle
E. a cube

12. The vertical distance between the minimum and maximum values of the function is

A. 1.414
B. 1.732
C. 2.094
D. 2.828
E. 3.464

13. If the domain of f(x) = -|x | + 2 is {x : -1 x 3}, f(x) has a minimum value when x equals

A. -1
B. 0
C. 1
D. 3
E. There is no minimum value.

14. What is the range of the function f(x) = x2 - 14x + 43?

A. x 7
B. x 0
C. y -6
D. y -6
E. all real numbers

15. A positive rational root of the equation 4x3 - x2 + 16x - 4 = 0 is

A.
B.
C.
D. 1
E. 2

16. The norm of vector is

A. 4.24
B. 3.61
C. 3.32
D. 2.45
E. 1.59

17. If five coins are flipped and all the different ways they could fall are listed, how many elements of this list will contain more than three heads?

A. 5
B. 6
C. 10
D. 16
E. 32

18. The seventh term of an arithmetic sequence is 5 and the twelfth term is -15. The first term of this sequence is

A. 28
B. 29
C. 30
D. 31
E. 32

19. The graph of the curve represented by is

A. a line
B. a hyperbola
C. an ellipse
D. a line segment
E. a portion of a hyperbola

20. Point (3,2) lies on the graph of the inverse of f(x) = 2x3 + x + A. The value of A is

A. -54
B. -15
C. 15
D. 18
E. 54

21. If f(x) = ax2 + bx + c and f (1) = 3 and f (-1) = 3, then a + c equals

A. -3
B. 0
C. 2
D. 3
E. 6

22. In ABC, B = 42°, C = 30°, and AB = 100. The length of BC is

A. 47.6
B. 66.9
C. 133.8
D. 190.2
E. 193.7

23. If 4 sin x + 3 = 0 on 0 x < 2, then x =

A. –0.848
B. 0.848
C. 5.435
D. 0.848 or 5.435
E. 3.990 or 5.435

24. What is the sum of the infinite geometric series ?

A. 18
B. 36
C. 45
D. 60
E. There is no sum.

25. In a + bi form, the reciprocal of 2 + 6i is

A.
B.
C.
D.
E.

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