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Math 092
Practice Final #3
GEOMETRY FORMULAS
Circle:
C  2 r or C   d
A  r2
Triangle:
A=
1
Rectangle:
P = 2L + 2W
A=L∙W
Cylinder:
V   r 2h
4
V   r3
3
1
b∙h
2
Rectangular Solid: V = L∙W∙H
1
Cone: V   r 2 h
3
Sphere:
________________________________________________________________________
1.) Add and reduce, if possible:
2.) Write in words:
3 2

4 3
16.023
2
3.) Simplify using order of operations:
1 3
3
   
3 8
4
3
x  15
5
5.) Convert to a fraction and reduce to lowest terms:
5
6.) Convert to a percent.
8
5 4
 
7.) Multiply and reduce, if possible:
8 15
4.) Solve for x:
0.012
8.) Find the sale price of a shirt usually priced at $35 if it goes on sale for 40% off.
(6 x  3 y )  (3x  5 y )
9.) Simplify:
10.) Find the volume of a cylinder if the radius is 3 cm and the height is 12 cm.
(Leave your answer in terms of  )
3
9

11.) Add and reduce, if possible:
20 20
12.) Find the area and perimeter of the rectangle below:
2 meters
4.3 meters
Math 092
Practice Final #3
2
13.) Round 36.24531 to the nearest 100th.
14.) Divide: (24) ÷ (-6)
15.) Find the supplement of an angle which measures 72°.
16.) Find the missing side of the right triangle below:
12
15
17.) Answer TRUE or FALSE (explain your answer!):
2 4 8
 
9 9 9
18.) Answer TRUE or FALSE (explain your answer!):
(7) 2  49
19.) Divide: 3.302 ÷ 1.3
20.) Find the circumference of a circle with diameter 14 feet.
(Leave your answer in terms of  )
21.) Convert to a fraction and reduce to lowest terms:
16%
7
______ 0.07
22.) Fill in the blank with < or >:
10
23.) Factor: 15 x  20 y  5 z
24.) A DVD player is priced at $150. If it is marked down for sale at $120,
find the percent decrease.
25.) Find the volume of the figure below:
6 in
3 in
4 in
26.) Subtract:
-15 – (-8)
27.) 26 is 40% of what number?
2 3
 
28.) Subtract:
5 7
Math 092
Practice Final #3
3
29.) A worker in an assembly line takes 3 hours to produce 15 parts.
How long would it take the same worker to produce 75 parts?
x 5  x 9
30.) Simplify:
31.) Convert to a percent:
0.2
Questions 32, 33, and 34 refer to the following data:
2, 16, 1, 28, 1, 30, 1, 25
32.) Find the mean.
33.) Find the median.
34.) Find the mode(s).
35.) Write in order from smallest to largest:
36.) Simplify using order of operations:
37.) Subtract:
7
3
, 0.07, , 0.6
9
4
9  3  (2  5)  4 2
55 – 3.852
38.) Solve for x:
6 10

9 x
39.) What is 5% of 300?
40.) 20 is what percent of 80?
41.) Solve for x:
x  3  2( x  2)
(2 x 3 y 10 ) 2
42.) Simplify:
43.) Find the area of the triangle below:
5.6
6.3
(height = 6)
8
44.) Divide and reduce to lowest terms, if possible:
24 
3
4
Math 092
Practice Final #3
45.) Convert to a decimal:
3
25
46.) Convert to an improper fraction:
47.) Multiply:
4
8
4
7
5.91 ∙ 8.23
A
B
Questions 48 and 49 refer to the diagram to the right:
C
D
E
48.) Is CDB acute, obtuse, or a right angle?
49.) If mBDE = 62°, find mBDA .
50.) Convert to a mixed number:
ANSWERS:
17
1.)
12
37
5
2.)
sixteen and twenty-three thousandths
3.)
4.)
x = -25
5.)
3
250
6.)
62.5%
7.)

1
6
8.)
$21
9.)
3x + 2y
10.)
108 cm3
11.)
3
5
12.)
A = 8.6 m2
P = 12.6 m
13.)
36.25
14.)
-4
15.)
108°
16.)
x=9
17.)
FALSE
18.)
FALSE
19.)
2.54
11
16
Math 092
Practice Final #3
5
20.)
14 ft
21.)
4
25
22.)
>
23.)
5(3x-4y+z)
24.)
20%
25.)
72 in3
26.)
-7
27.)
65
28.)

29
35
29.)
15 hours
30.)
x4
31.)
20%
32.)
13
33.)
9
34.)
1
35.)
3 7
0.07,0.6, ,
4 9
36.)
-16
37.)
51.148
38.)
x = 15
39.)
15
40.)
25%
41.)
x=7
42.)
4x 6
y 20
43.)
24
44.)
32
45.)
0.12
46.)
60
7
47.)
48.6393
48.)
obtuse
49.)
28°
50.)
7
2
5