Exam (elaborations)
SAT MATHEMATICS LEVEL 2 PRACTICE TEST 4 WITH ANSWER KEYS AT THE END
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1. xm x–2m = (A) xm (B) 1
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실전 51. xm x–2m =
(A) xm
1
(B) 𝑥𝑚
1
(C) 𝑥 −𝑚
(D) x–3m
2
(E) 𝑥 −2𝑚
2. All of the following numbers satisfy the
inequality (2x + 1)(x – 5) < 0 EXCEPT
(A) -1
(B) 0
(C) 1
(D) 2
(E) 3
3. For all real numbers m, the equation
y = mx + 3 represents which of the following
in the xy-plane?
(A) Lines whose x-intercept is 3
(B) Lines whose y-intercept is 3
(C) Lines whose slope is 3
(D) Vertical lines through (3,0)
(E) Horizontal lines through (0,3)
4. If 2a = 4b = 64, what is the value of a + b?
(A) 3
(B) 8
(C) 9
(D) 18
(E) 48
5. What is the domain of the function f defined
𝑥2
by f (x) = 𝑥 2 +1?
(A) –1 < x ≤ 1
(B) 0 ≤ x < 1
(C) x ≥ 0
(D) All real numbers except –1
(E) All real numbers
1
,실전 5
6. If y = 2x3 + x2, what is the value of |y| when
x = –2?
(A) –20
(B) 8
(C) 12
(D) 20
(E) 60
7. If f (x) = (x – 3)2, what is the greatest value
of x for which f (x) = 5?
(A) –0.76
(B) 0.76
(C) 3.74
(D) 4.00
(E) 5.24
8. The stem-and-leaf plot shows the 2 6
mathematics scores on a national test for a 3 2 7
group of juniors at Pacific High School. 4 5 5
What is the median score for this group? 5 6 8 8
(A) 45 6 1 3 6
(B) 49.7
(C) 50.5 2 | 6 represents 26.
(D) 56
(E) 58
1
9. If f (x) = 2x + 1 and g (x) = 𝑥 − 2, for what
value of x is g (f (x)) equal to 0?
(A) –1
1
(B) − 4
1
(C) 4
1
(D) 2
2
(E) 3
2
, 실전 5
10. Let a be a nonzero constant. If 2x2 – 4 = a,
then x2 – 2 =
1
(A) 2
𝑎
(B) 2
2
(C) 𝑎
(D) 2
(E) 2a
11. The table shows the profit made by a new
company. Of the following functions, which Number
best models the relationship between the of months
x 0 1 2 3 4 5
company’s profit and the number of months in
business
in business?
Profit (in
(A) P(x) = 2x – 1
P(x) thousands 0 1 4.2 9.1 15.8 25.3
(B) P(x) = 5x – 2 of dollars)
(C) P(x) = x2
(D) P(x) = 2x2 – 1
(E) P(x) = x3
12. If yn = 1 – (–1)n, where n = 1,2,3,…, which
of the following statements is true?
(A) For all n, yn = 0 only.
(B) For all n, yn = 0 or yn = 2.
(C) For all n, yn = or yn = 1.
(D) For n ≥ 1,000, yn > 0.
(E) For n ≥ 1,000, yn < 0.
3
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