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MAT 055 Practice Test Chapter 14
All test answers are to be in simplest form. A calculator may be used.
Cell phones, iPads, and other electronic devices with scanning or photo ability may NOT be used.
No notes, no books, no homework may be used while taking this test.
If possible, evaluate the expression
at the given value of the variable.
5 x2 + 8 x
1)
, x = -3
3x
2)
x
, x = -6
x+6
Find any values of the variable that make
the expression undefined.
8
3)
r+ 4
4)
5)
m-8
4
x2 - 16
2
x + 17x + 72
Write the expression in lowest terms.
4x + 2
6)
2
20x + 18x + 4
7)
8)
9)
10)
y2 + 8y + 16
y2 + 11y + 28
a 2 - 49
Simplify. Write your answer in lowest terms and leave the
answer in factored form.
4p - 4 7p2
11)
·
p
9p - 9
12)
k2 + 15k + 56
k2 + 8k
·
k2 + 16k + 64 k2 + 13k + 42
13)
z2- 9 z + 3
÷
z
z-8
14)
y3 - 3y y2 + 4y + 4
÷
y2 - 9
y2 + 5y + 6
15)
2m
12
m- 6 m- 6
16)
5x
7x - 8
4x
+
x+ 4
x+ 4
x+ 4
17)
18)
12
7
+
x
4x
8
(x + 5)2
+
6
x+5
a 2 + 10a + 21
19)
2
4
15x 21x2
7-m
m-7
20)
4x
16
2
2
x - 5x + 6 x - 6x + 8
m 2 - s2
s- m
Page 1
MAT 055 Practice Test Ch 14
Simplify the complex fraction.
21)
22)
23)
24)
x8
7y7
26)
x 7
=
4 8
27)
x 7x
=
4
8
28)
x+1 x+2
=
2
3
29)
5-x 7
3
- =x
x
4
x2
y4
x
9
8
x+3
1
k+2
5
k2 - 4
2 3
+
x y
3 2
x y
4
25)
Solve the equation.
x2 - 16
3
x2 - 16
+
1
x-4
+
5
x+4
30)
4
1
9
+
=
x- 4
2x- 8
2
31)
1
8
-48
+
=
x-6
x
2
x - 6x
32)
x
-2x
2x - 3
=
+
2x + 2 4x + 4
x+1
Page 2
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