MT 150 MidTerm Exam Study Guide Name___________________________________
12/16/2011
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Factor completely.
1) 28x4 - 63 1)
A) 7(2x2 - 3)2 B) 7(2x2 - 3)(2x2 + 3)
C) (14x2 - 21)(2x2 + 3) D) 7(4x4 - 9)
Factor the polynomial completely.
2) 81k3m - 192m4 2)
A) (9km - 12m2)(9k2 + 16m2) B) 3m(27k - 4m)(k2 + 12km + 16m2)
C) 3m(3k - 4m)(9k2 + 12km + 16m2) D) 3m(3k + 4m2)(9k2 - 12km + 16km2)
Find the product or quotient.
3) z2 + 11z + 30 z2 + 12z + 35
÷ z2 + 6z z2 + 10z + 21
3)
A) z + 3 B) z z2 + 12z + 35
C) z + 3 z2 + 7z
D) z + 3 z Perform the indicated operations.
4) 2
4r2 - 7rs - 2s2 -
6
6r2 - 13rs + 2s2 +
9
24r2 + 2rs - s2 4)
A) -3r - 14s
(4r + s)(r - 2s)(6r - s) B) -3r - 26s
(4r + s)(r - 2s)(6r - s)
C) 45r - 14s
(4r + s)(r - 2s)(6r - s) D) 45r - 26s
(4r + s)(r - 2s)(6r - s)
Simplify.
5)
4 +
2
x x4 +
18
5)
A) 16 B) 16 x C) 1 D) x
16
Simplify the expression involving rational exponents.
6) -
64
125
-2/3
6)
A) -
16
25 B) not a real number
C) 25
16 D) 16
25
1
Perform the indicated operations. Write the answer using only positive exponents. Assume all variables represent positive real numbers.
7) b-5/6 n-7/4 2 n1/3 b1/7 -3
7)
A) b44/21 n9/2 B) n9/2 b44/21 C) b26/21 n5/2 D) n5/2 b26/21 Factor, using the given factor. Assume all variables represent positive real numbers.
8) 6s1/7 - 2s-3/7; s-3/7 8)
A) s1/7(6s4/7 - 22/1) B) s1/3(6 - 2s2/1)
C) s-3/7(6s4/7 - 2s) D) s-3/7(6s4/7 - 2)
Simplify the