Math Practice Test With Answer Key - Woodland Community College Page 27
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371
1
1
=
+
13. Solve the equation
for x.
x
y
z
14. Renee walks 4 mi in the same time that Jane jogs 7.2 mi. If Jane jogs 2mph faster than Renee walks, then how
fast does Jane jog?
15. The quotient of twice a number and three, minus one ‐sixth is the quotient of the number and two. What is the
number?
16. Smith Engineering is in the process of reviewing the salaries of their surveyors. During this review the company
found that an experienced surveyor can survey a roadbed in 6 hours. An apprentice surveyor needs 9 hours to
survey the same stretch of road. If the two work together, find how long it takes them to complete the job.
17. A paddle boat can move at a speed of 4km/h in still water. The boat is paddled 14 km downstream in a river in
the same time it takes to go 7 km upstream. What is the speed of the river?
18. Solve the equations.
(
)
2
1
−
−
−
+
=
− x
−
=
+ x
=
−
−
=
2
2
2
3
3
(a)
x
6
3
(b)
x
7
36
(c)
(
x
) 2
16
(
x
) 2
63
0
(d)
x
3
10
0
−
−
−
+
=
2
1
x
5
x
6
0
(e)
−
+
=
−
+
=
2
2
(b)
19. Solve the equation by completing the square. (a)
x
12
x
19
0
4
x
24
x
15
0
20. Solve the quadratic inequality. Graph the solution and write the solution in
21. interval notation.
−
+
2
x
2
x
6
≥
≥
+
<
−
+ x
−
≤
2
2
0
(a)
3
x
16
x
5
(b)
1
(c)
(d)
x
2
8
0
+
5
x
x
6
22. Graph parabola. Find the vertex and label the axis of symmetry.
(
)
=
−
+
=
−
+
=
−
+
2
2
2
(a)
f
(
x
)
4
x
2
1
f
(
x
)
2
x
3
f
(
x
)
x
4
x
3
(b)
(c)
23. A triangle has a height of x‐8 and the base of 2x‐8. Given that the area of the triangle is 32square feet. Find the
base and the height of the triangle.
24. If a projectile is fired straight upwards from the ground with the initial speed of 160 feet per second, then its
=
−
+
2
h
) (
t
16
t
160
t
height h in feet after t seconds is given by the equation
. Find the maximum height of the
projectile.
25. A jogger ran 3 miles, decreased her speed by 1 mile per hour, and then ran another 4 miles. If her total time was
1.6 hours, find her speed for each part of her run.
(
)
= 1
+
t
A
P
r
r
26. Use
to find the rate
at which $ 250,000 grows to $330,625 in 2 years.
27. One number is 8 more than another number, if the product of these numbers is 273. What are the two
numbers?
Simplify each of the following. Assume all variables represent positive real number.
28.
3
⎛
−
−
⎞
1
2
⎜
⎟
10
3
5
64
x
y
6
3
3
a
b
3
7
⎜
⎟
21
x
y
13
17
5
(a)
7
64
x
y
(b)
( c)
(d)
3
−
⎜
b
⎟
3
7
5
2
x
y
3
x
y
⎝
⎠
−
10
3
( )
4
4
96
x
y
28
−
3
100
x
8
30
25
8
(e)
4
(f)
(g)
(h)
192
x
y
z
3
−
2
3
1
4
3
x
y
2
2
x
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