324 MCGRAW-HILL’S SAT
- If 2 − 4 x< 20, then which of the following could
NOT be the value of x?
(A) −5(B)−4(C)− 3
(D) −2(E)− 1 - If x< 0, xy> 0, and xyz> 0, then which of the fol-
lowing expressions must be positive?
(A) x^2 yz (B) xy^2 z (C) xyz^2
(D) xy^2 (E) xz^2 - Which of the following is equivalent to the state-
ment ⏐x− 2 ⏐< 1?
(A) x< 3 (B) x< − 1
(C) 1 < x< 3 (D) −1 < x< 3
(E) −3 < x< − 1 - If ⏐m⏐> −2, then which of the following repre-
sents all possible values of m?
(A) m> −2(B)m> 2
(C) m> 2 or m< −2(D)−2 < m< 2
(E) all real numbers - If r= 5 w= 7 aand r≠0, then what is the value of
r−win terms of a?
(A) 28a (B) (C) 3a
(D) (E)
- If xis the average (arithmetic mean) of kand 10
and yis the average (arithmetic mean) of kand
4, what is the average of xand y,in terms of k?
(A) (B)
(C) k+^7 (D) 7k (E) 14k
2
k+ 14
2
k+ 14
4
a
7
7
5
a
28
5
a
7.If m= 2 x−5 and n=x+7, which of the following
expresses xin terms of mand n?
(A) m−n+2(B)m−n+ 12
(C) 2(m−n+12) (D)
(E)
- What is the only integer nsuch that
20 − 2 n> 5 and - If b= 2 a−4 and c=a+2, then which of the fol-
lowing expresses ain terms of band c?
I. b−c+ 6
II.
III. 2c−b− 8
(A) I only (B) II only
(C) I and II only (D) I and III only
(E) I, II, and III
- Which of the following is equivalent to the state-
ment “The distance from 1 to xis greater than
the distance from 3 to x?”
I. ⏐x− 1 ⏐> ⏐x− 3 ⏐
II. x> 3 or x< 1
III. x> 2
(A) I only (B) I and II only
(C) II and III only (D) I and III only
(E) I, II, and III
bc++ 2
3
2
3
4
n
>?
mn−+ 12
2
mn−+ 2
2
SAT Practice 6:
Inequalities, Absolute Values, and Plugging In
....
1 2 3 4 5 7 8 9
6
1
0 2 3 4 5 7 8 9
6
1
0 2 3 4 5 7 8 9
6
1
0 2 3 4 5 7 8 9
6