Download MAT 120 Homework 10

MAT 120
Homework 10
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the square roots.
1) 169
A) 26, -26
B) 14, -14
C) 15, -15
For the given function, find the indicated function value.
2) For f(x) = 4x - 14, find f(5).
A) 7
B) 2 5
1)
2)
5
C)
6
D)
Find the following. Assume that the letter can represent any real number.
3) z 2 - 20z + 100
A) (z - 10)2
D) 13, -13
B) z - 10
C) z - 10
D) (z - 10)2
B) -2
C) -3
D) -24
3)
Simplify.
4) -
3
8
A) -4
Rewrite without rational exponents, and simplify, if possible..
5) (mn)1/7
A) (mn)-7
B)
1
7
5)
11z 11/12
x11/10
B)
(mn)7
C)
z11/12
(11x 10/11)
C)
11z 11/12
x10/11
Use the laws of exponents to simplify. Write the answer with positive exponents.
7) (b7 )4/7
A) b1/7
D)
7
mn
mn
Rewrite with positive exponents, and simplify, if possible.
6) 11x-10/11z 11/12
A)
4)
B) b4/49
C) b4
Use rational exponents to write a single radical expression.
5
8) x x - 10
10
(x 10 - 20x5 + 100x)
A)
7
C) (x10 - 20x5 + 100x)
D)
11z 1/12
x10
D) b11/7
6)
7)
8)
B)
D)
1
10
7
(x 7 - 20x6 + 100x5)
(x7 - 20x6 + 100x5 )
Simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers.
9) 448x2
A) 8 7x
C) 448x
B) 8x 7
D) 7x2 8
Multiply and simplify. Assume that all expressions under radicals represent nonnegative numbers.
10) 14m5 7m7
A) 7m6 2
B) 7m5 2
C) 14m3 7
D) 7m7
Divide and simplify. Assume that all expressions under radicals represent nonnegative numbers.
1536fg
11)
4 3
A) 4 8fg
B) 4fg 2
C)
512fg
4
9)
10)
11)
D) 4 2fg
Simplify.
12)
128r2 y
x4
A)
8 2r2y
x2
12)
B)
8r 2y
x2
C)
64r 2y
x2
Add or subtract. Then simplify by collecting like radical terms, if possible.
13) 6 5 - 2 5
A) 8 5
B) -12 10
C) 4 5
D)
r 128y
x2
13)
D) 4 10
Add or subtract. Then simplify by collecting like radical terms, if possible. Assume that all expressions under radicals
represent nonnegative numbers.
3
3
14) 8y - 54y
14)
3
3
3
3
3
3
A) 5 y
B) 3 2y - 2 y
C) 2 - 3 2
D) 2 y - 3 2y
15)
2 + 7 32 + 2 50
A) 39 2
15)
B) 9 84
C) 39 84
Multiply. Assume that all expressions under radicals represent nonnegative numbers.
16) ( 7 + z)( 7 - z)
A) 7 - 2 7z
B) 7 - 2 z
C) 7z
D) 9 2
16)
D) 7 - z
Rationalize the denominator. Assume that all expressions under radicals represent positive numbers.
49x
17)
20
A)
7 5x
10
C) 7 5x
B) -20x
2
D)
7 5x
5
17)
18)
245x3
y5
A)
19)
B)
7x
y2
5x
y
C)
x 245xy
y3
D)
7x3 5
y5
6
7+5
A)
20)
7x 5xy
y3
18)
19)
42 - 5 6
12
B)
42 + 5 6
-18
C)
42 - 5 6
-18
D)
3 42 + 7 6
35
6-5 7
3-2 5
20)
A)
3 2 + 2 30 - 5 21 - 10 35
-17
B)
3 2 - 2 30 - 5 21 + 10 35
-17
C)
3 2 - 2 30 - 5 21 - 10 35
-17
D)
-3 2 + 2 30 - 5 21 - 10 35
7
3