SAT Mc Graw Hill 2011

CHAPTER 8 / ESSENTIAL ALGEBRA I SKILLS 319

1. Chime Aand chime Bring simultaneously at
   noon. Afterwards, chime Arings every 72 min-
   utes and chime Brings every 54 minutes. What time
   is it when they next ring simultaneously?
   (A) 3:18 pm (B) 3:24 pm
   (C) 3:36 pm (D) 3:54 pm
   (E) 4:16 pm


2. For all real numbers xand y,if xy=7, then
   (x−y)^2 −(x+y)^2 =
   (A) y^2 (B) 0 (C) − 7
   (D) − 14 (E) − 28


3. If for all real values of x,
   (x+a)(x+1) =x^2 + 6 x+a, then a=


4. In the figure above, if m≠n,what is the slope of
   the line segment?
   (A) m+n (B) m−n

(C) (D)

(E)

1

mn−

1

mn+

mm

nn

2

2

−

−

5. If a^2 +b^2 =8 and ab=−2, then (a+b)^2 =
   (A) 4 (B) 6 (C) 8
   (D) 9 (E) 16


6. If f^2 −g^2 =−10 and f+g=2, then what is the value
   of f−g?
   (A) − 20 (B) − 12 (C) − 8
   (D) − 5 (E) 0


7. If x> 0, then

(A) (x+1)^2

(B) (x−1)^2

(C) 3x− 1

(D) 3x

(E) 3(x+1)^2

8. If y= 3 pand p≠2, then

(A) 1 (B) (C)

(D) (E)

9. If , then what is in terms of x?

(A) x^2 − 2

(B) x^2 − 1

(C) x^2

(D) x^2 + 1

(E) x^2 + 2

n

n

2

2

1

n +

n

−=x

1

936

936

2

2

p

p

+

−

32

3

p

p

+

32

32

p

p

+

−

p

p

+

−

2

2

y

y

2

2

36

6

−

()−

=

x

x

x

x

x

x

2 1 22

1

11

2

21

3

−

+

+

()+ −

+

+

()+ −

+

=

SAT Practice 5: Factoring

....

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

O

x

y

(n, n^2 )

(m, m^2 )