New SAT Math Multiple Choice Practice Test 38

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Question 15 questions

Time 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

Images

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 Images

  • A. Images
  • B. Images
  • C. Images
  • D. Images

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. Images

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 Images, where n > 0, what is the value of m in terms of n?

  • A. Images
  • B. Images
  • C. Images
  • D. Images

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. Images
  • B. Images
  • C. Images
  • D. 5,000abp

9. If Images, 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. Images

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 Images, 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.

    Images

  • B.

    Images

  • C.

    Images

  • D.

    Images

15. x - 3y = -2

Images

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