SAT Mc Graw Hill 2011

324 MCGRAW-HILL’S SAT

1. 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


2. 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


3. 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


4. 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


5. 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)

6. 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)

8. What is the only integer nsuch that
   20 − 2 n> 5 and


9. 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

10. 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