Math Practice Test With Answer Key - Woodland Community College Page 26
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37Woodland Community College: Math Practice Test
Intermediate Algebra Math Test
The following problems are recommended practice problems for the intermediate algebra section of the
placement test. Some of the problems may or may not be similar to the problems on the actual test. If
you struggle to complete the problems, we suggest that you review those topics before taking the test.
1. Factor completely.
−
+
−
x −
−
+
−
−
+
5
4
3
2
2
2
2
2
2
(a)
(b)
16
81
y
(c)
(d)
(e)
15
x
12
x
27
x
3
x
4
x
23
x
28
4
x
169
16
x
25
4x −
−
+
+
+
9 −
−
2
2
2
2
3
(f)
x
11
x
30
(g)
2
x
x
18
(h)
125
x
64
(i)
4xy
24 y
2. Solve the equations by factoring.
=
+
=
−
−
=
+ x
+
=
2
3
2
2
(a)
4
x
25
(b)
x
(
x
) 7
12
(c)
3
x
2
x
8
x
(d)
3
x
8
5
0
3. Find the x‐ intercept of the given quadratic equation.
=
+
−
=
−
−
2
2
(a)
y
11
x
21
x
2
(b)
y
6
x
2
x
28
4. A diver jumps from a diving board that is 324 feet above the water. The height h (in feet) of the diver is modeled by
=
−
+
2
the position equation
h
16
t
324
. Where t is time measured in seconds. How long will it take for the diver to
reach the water?
5. The difference of two numbers is 5. The sum of their square is 125. Find the numbers.
6. The area of a square is 144 square units. Find the length of a side.
7. Find the two consecutive negative integers whose product is 240. Find the numbers.
8. Find the domain of each rational function.
−
−
x
3
x
1
=
=
(a)
f
(
x
)
(b)
f
(
x
)
−
+
−
2
2
x
5
x
6
x
6
x
9. Perform the indicated operation.
+
−
−
+
−
−
2
x
3
x
2
x
x
2
2
x
1
x
3
4
x
•
÷
−
(a)
(b)
(c)
+
−
+
+
+
−
−
−
−
−
+
2
2
2
2
2
2
x
2
x
8
x
6
x
9
x
4
x
4
x
4
x
2
x
15
x
9
x
20
+
−
+
x
1
x
x
3
x
2
+
−
(d)
(e)
−
−
+
2
x
9
3
x
x
1
x
10. Simplify the complex fraction.
3
1
2
3
4
x
+
−
+
3
−
−
−
1
1
−
+
x
y
5
x
2
y
x
x
1
x
1
(a)
(b)
(c)
(d)
−
−
−
2
2
4
7
2
9
1
25
x
4
y
−
−
−
9
−
+
2
2
2
x
1
x
1
x
x
y
11. Solve the following equations.
−
x
1
3
3
1
14
x
4
3
=
+
−
=
+
=
(a)
(b)
(c)
−
+
+
−
−
−
2
2
x
1
2
x
x
1
x
1
x
1
x
9
4
x
12
x
5
R
=
12. Solve the equation
T
for S.
+
S
U
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