# New SAT Math Multiple Choice Practice Test 45

### Test Information

15 questions

22 minutes

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1. If and 2a + 4b = 20, what is the value of b?

• A. 2.5
• B. 4
• C. 5
• D. 15

2.

The spinner for a board game has 10 sectors, numbered 1 through 10. It is spun 20 times and the results summarized in the table above. What is the median value of these 20 spins?

• A. 2
• B. 4
• C. 5
• D. 6

3. A 48-gram serving of breakfast cereal contains 8 grams of sugar. How many grams of sugar are there in a 57-gram serving of the same cereal?

• A. 9.5
• B. 10.5
• C. 11.5
• D. 12.5

4.

The graph above shows the number of applicants and finalists for a statewide college scholarship program over four consecutive years. For which year was the ratio of finalists to applicants the greatest?

• A. 2010
• B. 2011
• C. 2012
• D. 2013

5. If y3 = 20 and z2 = 10, what is the value of (yz)6?

• A. 2 × 105
• B. 4 × 104
• C. 2 × 105
• D. 4 × 105

6. If the sum of a, b, and c is three times the sum of a and b, which of the following expresses the value of a in terms of b and c?

• A.
• B.
• C.
• D.

7.

Note: Figure not drawn to scale.

In the figure above, BCDE is a rectangle, AC = 14, BC = 12, and EC = 13. What is the value of tan x?

• A. 0.4
• B. 0.6
• C. 1.3
• D. 2.5

8. Which of the following binomials is a factor of x2 - 6x + 8?

• A. x - 4
• B. x + 4
• C. x + 2
• D. x - 8

9.

The pie graph above represents the monthly ad sales for four salespeople-Maria, Eli, Georgia, and Zoe-at a social media website. For the month, Maria's sales accounted for 25% of the total, Eli had \$3,000 in sales, Georgia had \$5,000 in sales, and Zoe had \$10,000 in sales.

Which sector represents Georgia's sales for the month?

• A. Sector A
• B. Sector B
• C. Sector C
• D. Sector D

10.

The pie graph above represents the monthly ad sales for four salespeople-Maria, Eli, Georgia, and Zoe-at a social media website. For the month, Maria's sales accounted for 25% of the total, Eli had \$3,000 in sales, Georgia had \$5,000 in sales, and Zoe had \$10,000 in sales.

What is the sum of the monthly sales for all four salespeople?

• A. \$22,500
• B. \$24,000
• C. \$25,000
• D. \$27,000

11.

The pie graph above represents the monthly ad sales for four salespeople-Maria, Eli, Georgia, and Zoe-at a social media website. For the month, Maria's sales accounted for 25% of the total, Eli had \$3,000 in sales, Georgia had \$5,000 in sales, and Zoe had \$10,000 in sales.

If Eli and Georgia both earn 10% commission on their sales, and Maria and Zoe both earn 15% commission on their sales, how much more did Maria earn in monthly commissions than Georgia?

• A. \$300
• B. \$360
• C. \$375
• D. \$400

12. Let the function f be defined by f(x) = 2 - |x - 4| for all real values of x. What is the greatest value of f?

• A. -2
• B. 2
• C. 4
• D. 6

13. If , what is the value of b?

• A.
• B.
• C.
• D. 5

14. For the function f, f (1) = 4 and f (2) = 13. Which of the following equations could describe f?

• A. f(x) = x2 + 3
• B. f(x) = x2 + 9
• C. f(x) = 2x2 + 2
• D. f(x) = 3x2 + 1

15. Which of the following is NOT equivalent to 12b2?

• A. (6b)(6b)
• B. 12b(b)
• C.
• D. 6b2 + 6b2