# New SAT Math Multiple Choice Practice Test 4

### Test Information

15 questions

22 minutes

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1. If two times a number is equal to that number minus 4, what is the number?

• A. -7
• B. -6
• C. -4
• D. -3

2. The number of soil samples, s, that Sonal needs for an experiment must be greater than 6 but less than or equal to 13. Which of the following represents an acceptable number of soil samples for Sonal's experiment?

• A. 6 < s < 13
• B. 6 ≤ s < 13
• C. 6 < s ≤ 13
• D. 6 ≤ s ≤ 13

3.

In the figure above, the graph of y = f(x) is shown. Which of the following could be the equation of f(x) ?

• A. f(x) = - x + 3
• B. f(x) = - x - 3
• C. f(x) = x - 3
• D. f(x) = x + 3

4. If x + y = 0, which of the following must be equivalent to x - y ?

• A. -2y
• B.
• C. x
• D. x2

5. Which of the following is equivalent to 2x2 - 6x - 8 ?

• A. 2(x - 4)(x + 1)
• B. 3(x + 4)(x - 1)
• C. 2(x - 3)(x + 2)
• D. 3(x - 4)(x - 2)

6. Ryan and Allison build a ramp to help their elderly cat, Simms, walk up to their bed. They need the ramp to make a 35° angle with their bedroom floor. How long must the ramp be to reach the top of their bed that is exactly three feet off the ground?

• A.
• B.
• C.
• D.

7. If 3a + 2b = 24 and 4a + 5b = 53, what is the value of a + b ?

• A. 2
• B. 7
• C. 9
• D. 11

8. Given the equation y = 3x2 + 4, what is the function of the coefficient of 3 ?

• A. It moves the graph of y = 3x2 + 4 three units higher than the graph of y = x2 + 4.
• B. It moves the graph of y = 3x2 + 4 three units lower than the graph of y = x2 + 4.
• C. It makes the graph of y = 3x2 + 4 wider than the graph of y = x2 + 4.
• D. It makes the graph of y = 3x2 + 4 narrower than the graph of y = x2 + 4.

9. Steven needs to buy t theme park tickets for himself and his family. Each ticket costs \$80, and the number of tickets he needs to buy can be modeled by the expression t2 - 4t - 90 = 6 when t > 0. What is the total cost of the theme park tickets that Steven purchased?

• A. \$640
• B. \$800
• C. \$960
• D. \$1,120

10. 2c + 3d = 17
6c + 5d = 39

In the system of linear equations above, what is the value of 4c - 4d ?

• A. -4
• B. 1
• C. 4
• D. 13

11. If x2 + 2xy + y2 = 64 and y - x = 12, which of the following could be the value of x ?

• A. -10
• B. -4
• C. 2
• D. 10

12. Samantha offers two different packages of yoga classes at her yoga studio. She offers two hot yoga sessions and three zero gravity yoga sessions at a total cost of \$400. She also offers four hot yoga sessions and two zero gravity sessions at a price of \$440. Samantha wants to offer a larger package for long-time clients in which the cost must exceed \$800. If Samantha does not wish to include more than 13 sessions for the long-time client package, will she be able to create this package for her clients?

• A. No, because the closest package that she can offer consists of three hot yoga and three zero gravity yoga sessions.
• B. No, because the closest package that she can offer consists of four hot yoga and four zero gravity yoga sessions.
• C. Yes, because she can offer five hot yoga and five zero gravity yoga sessions.
• D. Yes, because she can offer six hot yoga and six zero gravity yoga sessions.

13. Cuthbert is conducting a chemistry experiment that calls for a number of chemicals to be mixed in various quantities. The one amount of which he is unsure is grams of potassium, p . If Cuthbert is certain that (3p2 + 14p + 24) - 2(p2 + 7p + 20) = 0, what is one possible value of 3p + 6, the exact number of grams of potassium that Cuthbert would like to use for this experiment?

• A. 20
• B. 18
• C. 12
• D. 10

14. What is the value of (2 + 8i)(1 - 4i) - (3 - 2i)(6 + 4i) ?
(Note: i = )

• A. 8
• B. 26
• C. 34
• D. 50

15. If 2 = x - 3, which of the following is the solution set for x ?

• A. {-1, 9}
• B. {1, -9}
• C. {9}
• D. {1, 9}

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