# New SAT Math Multiple Choice Practice Test 40

### Test Information

15 questions

22 minutes

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1. If 2x - 3y = 9 and y = 3, then what is the value of x?

• A. 0
• B. 3
• C. 6
• D. 9

2. x - y = -4

x - 2y = -6

Which of the following ordered pairs (x, y) satisfies the system of equations above?

• A. (22, 2)
• B. (22, 4)
• C. (4, 8)
• D. (4, 28)

3. An information technology company estimates the cost of a project, in dollars, using the expression 240 1 3nt, where n is the number of computer servers working on the project and t is the total time, in hours, the project will take using n servers. Which of the following is the best interpretation of the number 3 in the expression?

• A. Each server costs the company \$3 per hour to run.
• B. A minimum of 3 servers will work on the project.
• C. The price of the project increases by \$3 every hour.
• D. Each server can work 3 hours per day.

4. If , what is the value of x?

• A.
• B.
• C.
• D.

5. a4 - 6a2 + 10

Which of the following is equivalent to the expression shown above?

• A. (a2 - 2)(a2 - 5)
• B. (a2 - 1)(a2 - 10)
• C. (a2 + 3)2 + 1
• D. (a2 - 3)2 + 1

6. In triangle ABC, angle C has a measure of 90°. If sin A 5 0.6, what is the value of cos B?

• A. 0.3
• B. 0.4
• C. 0.6
• D. 0.8

7.

If m, 0 and x 5 6 in the equation above, what is the value of m?

• A. -13
• B. -10
• C. -7
• D. -3

8. If and , what is the value of b - a?

• A. -2
• B. 2
• C. 4
• D. 8

9.

The table above shows ordered pairs that satisfy the function f. Which of the following could define f?

• A. f(b) = 3b2 - 2
• B. f(b) = 3b2 - 4
• C. f(b) = 2b2 - 7
• D. f(b) = 2b2

10. The equation y = kx - 1, where k is a constant, describes a line in the xy-plane. If the graph of this line contains the point (a, b), where a and b are nonzero, what is the value of k in terms of a and b?

• A.
• B.
• C.
• D.

11. The equation is true for all values of , where b is a constant. What is the value of b?

• A. -12
• B. -6
• C. 4
• D. 6

12. If h and k are functions such that h(x) = x + 3 and h(g(2)) = 9, which of the following could describe g(x)?

• A. x2 + 2
• B. x2 + 3
• C. x2 + 4
• D. x2 + 5

13. y = a(x + 3)(x - 1)

In the quadratic function above, a is a nonzero constant. The graph of the equation in the xy-plane is a parabola with vertex (m, n). Which of the following is equal to n?

• A. 0
• B. -a
• C. -2a
• D. -4a

14. x2 - 2ax + b = 0

In the equation above, a and b are constants. If this equation is solved for x, there are two solutions. What is the sum of these two solutions?

• A. 2a
• B. -2a
• C. b
• D. -b

15. Which of the following can represent the graph in the xy-plane of y = a(x - b)(x + c)2, where a, b, and c are all positive constants?

• A.
• B.
• C.
• D.

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