# New SAT Math Multiple Choice Practice Test 38

### Test Information

15 questions

22 minutes

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1. If 8x + 6 = 6m, what is the value of 4x + 3 in terms of m?

• A. 2m - 3
• B. 2m
• C. 3m - 3
• D. 3m

2. 3x+ 4y = 18

Which of the following ordered pairs (x, y) is a solution of the system of equations above?

• A. (2, 3)
• B. (3, 2.25)
• C. (4, 1.5)
• D. (4, 6)

3. Which of the following is equivalent to

• A.
• B.
• C.
• D.

4. If x - 3 is a factor of the expression x2 + kx + 12, what is the value of k?

• A. -7
• B. -5
• C. 5
• D. 7

5.

Note: Figure not drawn to scale.

In the figure above, P is the center of a circle and AC is its diameter. What is the value of x?

• A. 60
• B. 50
• C. 40
• D. 30

6. The nth term of a sequence is given by the expression bn + 4, where b is a positive constant. Which of the following is necessarily equal to b?

• A. the value of the first term
• B. the difference between the fourth term and the third term
• C. the average (arithmetic mean) of the first three terms
• D. the ratio of the second term to the first term

7. If , where n > 0, what is the value of m in terms of n?

• A.
• B.
• C.
• D.

8. One bag of grass seed can cover 5,000 square feet of new lawn. If each bag costs p dollars, which of the following expressions gives the cost, in dollars, to cover a new rectangular lawn that measures a feet by b feet?

• A.
• B.
• C.
• D. 5,000abp

9. If , where m > 0, what is the least possible value of m?

• A. 6.5
• B. 7
• C. 7.5
• D. 8

10. If f (x) = 3x + n, where n is a constant, and f(2) = 0, then f(n) =

• A. -24
• B. -18
• C. -12
• D. 12

11.

If s, t, u, and v are the coordinates of the indicated points on the number line above, which of the following is greatest?

• A. |s - v|
• B. |s - t |
• C. |s + v|
• D. |u + v|

12. How many solutions to the equation 4 cos x = 1 lie between x = 0 and x = 3π?

• A. Two
• B. Three
• C. Four
• D. Six

13. If , which of the following is NOT equal to i3 + i?

• A. (2i)2 + 4
• B. 2 - 2i4
• C. 2i2 - 2
• D. i4 - 1

14. If m > 1, which of the following could be the graph of y = - (x + m)2 + m in the xy-plane?

• A.

• B.

• C.

• D.

15. x - 3y = -2

The values of x that satisfy the system of equations above also satisfy which of the following equations?

• A. (x - 5)(x + 3) = 0
• B. (x - 3)(x + 5) = 0
• C. (x - 2)(x - 5) = 0
• D. (x + 2)(x + 5) = 0