SAT Subject Test Math Level 2: Full-Length Practice Test 3 Part A

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Question 25 questions

Time 30 minutes

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1. If , for what value(s) of x does the graph of f(x ) have a vertical asymptote?

A. -2, 0, and 2
B. -2 and 2
C. 2
D. 0
E. -2

2. What is the distance between the points with coordinates (-3,4,1) and (2,7,-4)?

A. 5.24
B. 7.68
C. 11.45
D. 13
E. 19.26

3. Log (a2 - b2) =

A. log a2 - log b2
B.
C.
D. 2 · log a - 2 · log b
E. log (a + b ) + log (a - b )

4. The sum of the roots of the equation

A. 1.9
B. 2.2
C. 2.5
D. 3.3
E. 6.8

5. If the graph of x + 2y + 3 = 0 is perpendicular to the graph of ax + 3y + 2 = 0, then a equals

A. -6
B. -
C.
D.
E. 6

6. The maximum value of 6 sin x cos x is

A.
B. 1
C. 2.6
D. 3
E. 6

7. If f(r ,) = r cos, then f(2,3)=

A. -3
B. -1.98
C. 0.1
D. 1.25
E. 2

8. If 5 and -1 are both zeros of the polynomial P(x), then a factor of P(x) is

A. x2 - 5
B. x2 - 4x + 5
C. x2 + 4x - 5
D. x2 + 5
E. x2 - 4x - 5

9. i14 + i15 + i16 + i17=

A. 0
B. 1
C. 2i
D. 1 - i
E. 2 + 2i

10. When the graph of y = sin 2x is drawn for all values of x between 10° and 350°, it crosses the x-axis

A. zero times
B. one time
C. two times
D. three times
E. six times

11. The third term of an arithmetic sequence is 15, and the seventh term is 23. What is the first term?

A. 1
B. 6
C. 9
D. 11
E. 13

12. A particular sphere has the property that its surface area has the same numerical value as its volume. What is the length of the radius of this sphere?

A. 1
B. 2
C. 3
D. 4
E. 6

13.

A.
B.
C.
D.
E.

14. The pendulum on a clock swings through an angle of 1 radian, and the tip sweeps out an arc of 12 inches. How long is the pendulum?

A. 3.8 inches
B. 6 inches
C. 7.6 inches
D. 12 inches
E. 35 inches

15. What is the domain of the function

A. x 1.33
B. x 1.53
C. x 2.33
D. x -1.33 or x 1.33
E. x -2.33 or x 2.33

16. If x + y = 90°, which of the following must be true?

A. cos x = cos y
B. sin x = -sin y
C. tan x = cot y
D. sin x + cos y = 1
E. tan x + cot y = 1

17. The graph of the equation y = x3 + 5x + 1

A. does not intersect the x-axis
B. intersects the x-axis at one and only one point
C. intersects the x-axis at exactly three points
D. intersects the x-axis at more than three points
E. intersects the x-axis at exactly two points

18. The length of the radius of the sphere x2 + y2 + z2 + 2x - 4y = 10 is

A. 3.16
B. 3.38
C. 3.46
D. 3.74
E. 3.87

19.

The graph of y = x4 + 11x3 + 9x2 - 97x + c is shown above with the window shown below it. Which of the following values could be c ?

A. -2820
B. -80
C. 80
D. 250
E. 2820

20. Which of the following is the solution set for x (x - 3)(x + 2) > 0?

A. x < -2
B. -2 < x < 3
C. -2 < x < 3 or x > 3
D. x < -2 or 0 < x < 3
E. -2 < x < 0 or x > 3

21. Which of the following is the equation of the circle that has its center at the origin and is tangent to the line with equation 3x - 4y = 10?

A. x2 + y2 = 2
B. x2 + y2 = 4
C. x2 + y2 = 3
D. x2 + y2 = 5
E. x2 + y2 = 10

22. If f(x) = 3 - 2x + x2, then

A. t2 + 2xt - 2t
B. x2t2 - 2xt + 3
C. t + 2x - 2
D. 2x - 2
E. none of the above

23. If f(x) = x3 and g(x) = x2 + 1, which of the following is an odd function (are odd functions)?

I.f(x) g(x)

II.f(g(x))

III.g(f(x))

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

24. In how many ways can a committee of four be selected from nine men so as to always include a particular man?

A. 48
B. 56
C. 70
D. 84
E. 126

25.

The figure above shows a portion of the graph of y = 2x. What is the sum of the areas of the three inscribed rectangles shown?

A. 14
B. 28
C. 128
D. 256
E. 384