SAT Mc Graw Hill 2011

302 MCGRAW-HILL’S SAT

SAT Practice 1: Solving Equations

1. If 5d+ 12 =24, then 5d− 12 =
   (A) − 24 (B) − 12 (C) 0
   (D) 12 (E) 24


2. What number decreased by 7 equals 5 times the
   number?

(A) (B) (C)

(D) (E)

3. If , then y+ 5 =


4. If 2x^2 − 5 x=9, then 12x^2 − 30 x=
   (A) − 54 (B) − 6 (C) 18
   (D) 36 (E) 54

(p+2)^2 =(p−5)^2

5. The equation above is true for which of the fol-
   lowing values of p?
   (A) −2 and 5
   (B) 2 and − 5
   (C) 0 and 1
   (D) 1.5 only
   (E) 3.5 only

2

5

2

y =y 2

4

7

−

4

7

−

5

7

−

7

5

−

7

4

6. If what is the value of x?

(A) (B) −7(C)

(D) (E) 7

7. The product of xand yis 36. If both xand yare
   integers, then what is the least possible value of
   x−y?
   (A) − 37 (B) − 36 (C) − 35
   (D) −9(E)− 6


8. The graph of y = f(x) contains the points
   (−1, 7) and (1, 3). Which of the following could
   be f(x)?
   I. f(x) = 5 x− 2 
   II. f(x) =x^2 − 2 x+ 4
   III. f(x) =− 2 x+ 5

(A) I only (B) I and II only

(C) I and III only (D) II and III only

(E) I, II, and III

9. If , which of the following gives all
   possible values of x?
   (A) 9 only (B) −9 and 9
   (C) 81 only (D) 81 and − 81
   (E) 961


10. For all positive values of mand n,
    if then x=

(A) (B)

(C) (D)

(E)

3

22 mn−

2

32

m

+ n

32

2

+ n

m

23

2

m

n

22 −

3

mn−

3

2

x

mnx−

= ,

20 −=x 11

−

7

5

−

24

7

−

25

2

57

5

1

x

+=,

....

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