CHAPTER 8 / ESSENTIAL ALGEBRA I SKILLS 319
- 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 - 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 - If for all real values of x,
(x+a)(x+1) =x^2 + 6 x+a, then a= - 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
−
−
- If a^2 +b^2 =8 and ab=−2, then (a+b)^2 =
(A) 4 (B) 6 (C) 8
(D) 9 (E) 16 - 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 - If x> 0, then
(A) (x+1)^2
(B) (x−1)^2
(C) 3x− 1
(D) 3x
(E) 3(x+1)^2
- If y= 3 pand p≠2, then
(A) 1 (B) (C)
(D) (E)
- 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 )