SAT MATHEMATICS LEVEL 2 PRACTICE TEST 17 WITH ANSWER KEYS AT THE END

# 24

1. The product of a positive number, its reciprocal, and
its square is 15,129. What is the number?

(A) 103
(B) 117
(C) 121
(D) 123
(E) 127


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2. If 𝑓(𝑥) = 𝑥 2 + 2𝑥 + 𝑐, and if 𝑓 (2) = 1, then c =

1
(A) − 2
1
(B) − 4

(C) 0
1
(D) 4
1
(E) 2




3. Which of the following intervals contains only those
values of x that satisfy |2x + 5| < 5?

(A) −10 < 𝑥 < −5
(B) −5 < 𝑥 < 0
(C) −5 < 𝑥 < 5
(D) −5 < 𝑥 < 10
(E) 0 < 𝑥 < 5




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,# 24

ENROLLMENT AT PACIFIC HIGH SCHOOL
Class Female Male

Freshman 150 150
Sophomore 150 100
Junior 200 125
Senior 100 125
Total 600 500

4. Based on the enrollment figures shown in the table
above, what is the probability that a student chosen at
random is a freshman?

(A) 0.14
(B) 0.25
(C) 0.27
(D) 0.55
(E) 1.00




5. For the triangle above, which of the following is an
expression for x, in terms of a and 𝜃?

(A) 𝑎 𝑠𝑖𝑛 𝜃
(B) 𝑎 𝑐𝑜𝑠 𝜃
𝑐𝑜𝑠 𝜃
(C) 𝑎

(D) 𝑎 𝑡𝑎𝑛 𝜃
𝑡𝑎𝑛 𝜃
(E) 𝑎




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, # 24

6. Which of the following is a root of the equation
𝑥 3 −5.5𝑥 2 + 8𝑥 − 3.5 = 0?

(A) 2.7
(B) 1.0
(C) 0
(D) –1.0
(E) –3.5


7. If (𝑥 − 𝑦)2 = 4, which of the following could be a
value of 3(x – y)?

(A) 6
(B) 12
(C) 18
(D) 24
(E) 48


𝑥+8
8. If 𝑔(𝑥) = 2𝑥, 𝑓(𝑥) = 6, and ℎ(𝑥) = , what is the
2
value of ℎ(𝑓(𝑔(4)))?

(A) 6
(B) 7
(C) 8
(D) 10
(E) 11


9. In the xy-plane, the graph of which of the following
lines is tangent to the graph of 𝑦 = 𝑥 2 + 4?

(A) 𝑦 = 2𝑥 + 2
(B) 𝑦 = 2𝑥 + 3
(C) 𝑦 = 2𝑥 + 4
(D) 𝑦 = 2𝑥 + 5
(E) 𝑦 = 2𝑥 + 6




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