Practice Problems Worksheet Page 2
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2
320. Michael has $1.85 in dimes and Nickels. He has a total of 25 coins. How many of each does he have?
4
3
4
32
5
2
21. Simplify the following completely: a)
b)
(
16
y
)
22. Solve for x:
3x 10 x
a)
b)
2
23. Express
as an equivalent fraction with a rational denominator in simplified form.
3 – 1
2
2
3
x
3
24. Rationalize the denominator in the expression: a)
b)
2
3
2
5
i
25. Find the quotient. Express your answer in a + bi form:
2
5
i
26. Find the sum or difference and simplify your answer completely:
1
2
x
1
2
x
5
2
x
a)
b)
c.
2
2
x
x
1
x
5
x
6
x
9
x
1
x
1
2
2
2
x
7
x
3
4
x
8
x
3
27. Divide and simplify your answer completely:
2
2
x
16
2
x
5
x
12
1
28. Write the expression “
” as a single logarithm.
5
log
x
log
y
2
log
z
b
b
b
4
29. Find the exact value of
tan
150
30. Find the length of side c in a triangle labeled
ABC, if a = 6 cm, b =10 cm and C = 60.
31. A student stands at ground level, 600 feet away from a building. When she looks up to the top of the
building, she finds that the angle of elevation in 60
. What is the height of the building? Express your
answer in the simplest radical form.
1
32. Solve
y
log
(
)
by writing it in exponential form first.
27
3
33. Solve the following logarithmic equation:
3
sin
tan
34. If
and
terminates in quadrant II, find
.
5
35. Given that sin(25)
0.4266, cos(25)
0.9063, and tan(25)
0.4663, find the length of the side
labeled x in the triangle below:
x
25
16cm
Revised: 10/28/13
2
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