Math 0309 Final Exam Review
Work each problem on your scratch paper and find the matching answer on the review.
1.
2.
3.
Round 26,459 to the nearest hundred.
a) 26,400
b) 26,000
c) 26,500
d) 26,460
Which of the following is true?
a) 4  8
b) 3  8
c) 1  8
d) 7  5
Solve: 5 – x = 12
a) 17
c) –17
d) 7
b) –7
4.
Patty brought $500 spending money on vacation. She spent $103, $58 and $137 on the
first 3 days. How much does she have left for the last 2 days?
a) $305
b) $260
c) $339
d) $202
5.
Simplify: 72 + 20 ∙ 4 – (28 + 9 ∙ 2)
a) 266
b) 83
c) 202
d) 119
Simplify: 23 – (– 5) – 5 + (– 6)
a) 17
b) 7
c) 29
d) -39
Simplify: – 4 – (– 11)
a) – 15
b) – 7
c) 7
d) 15
Simplify: 60 ÷ (– 12)
a) –4
b) –5
c) 48
d) 5
Simplify: 8x – 2 + 21x – 6
a) 29x + 12
b) 29x2 – 4
c) –13x – 8
d) 29x – 8
c) m = 8
d) m = – 81
6.
7.
8.
9.
10. Solve: – 9m = – 72
a) m = – 63
b) m = – 8
11. Find the perimeter of a rectangular backyard that is 40 ft. by 36 ft.
a) 152 ft2
b) 152 ft
c) 1440 ft2
d) 76 ft
12. Find – (– x) when x = – 21
a) – (– x) = 21
Form A Fall 2011
b) – (– x) = –21
c) – (– x) =
1
21
d) – (– x) = 
1
21
1
13. Find the prime factorization of the number: 240
a) 24 ∙ 3 ∙ 5
b) 22 ∙ 32 ∙ 5
c) 4 ∙ 6 ∙ 10
d) 22 ∙ 3 ∙ 5
14. Solve: 3x + 4 = 2
a) x = – 2
b) x = –
2
3
15. Find an equivalent expression for
a)
40
60
b)
4
60
c) x = 2
d) x =
2
3
2
with – 60 as the denominator.
3
400
40
c)
d)
60
60
2 5
16. Solve:   y
3 8
a) y  
16
15
b) y 
16
15
c) y  
15
16
d) y  
31
24
17. Carol counted cars and trucks in the parking lot and found there were 81 cars and 17
trucks. Find the ratio of trucks to cars.
81
17
81
17
a)
b)
c)
d)
98
98
17
81
18. Simplify:
8 5

9 6
a) 1
b)
1
18
2
19. Solve: 32  16  x
3
2
a) x  10
b) x  72
3
20. Simplify: 0.51 – 0.83
a) – 0.32
b) 0.32
21. Four girls share
a)
2
12
Form A Fall 2011
c)

1
18
d) 
31
18
c) x  32
d) x  24
c) – 1.34
d) 1.34
2
of a chocolate pie equally. How much does each receive?
3
1
8
1
b)
c)
d)
6
3
8
2
1
7
gallon of punch and Jessica has gallon. How many total gallons do they have?
2
8
7
7
3
11
a)
b)
c) gal
d)
gal
gal
gal
4
8
16
8
22. Jill has
5
1
23. Simplify: 4  6
6
3
2
a) 10
3
5
1
24. Simplify: 2  7
6
3
1
a) 4
2
b) 10
5
18
c) 11
b) 5
1
2
c) 11
 1  1 
25. Simplify:  1  2 
 6  3 
1
13
a) 2
b) 2
2
18
c) 2
1
6
1
6
1
18
1
3
1
26. Simplify: 3  mn when m  and n  5
4
3
8
27
11
1
a) 2
b) 8
c) 2
32
24
2
27. Simplify:
a)
a) x 
7
9
b)
45w
148
d) 11
1
3
d) 3
2
9
d) 5
1
2
c)
45pqw
148 pq
d)
14wpq
31
1 4
=
3 9
b) x 
1
9
29. Write the fractional notation for – 2.35
235
235
a)
b) 
100
1000
Form A Fall 2011
1
3
9 pq 5w

7q 24 p
15w
56
28. Solve: x –
d) 11
c) x  
c) 
4
27
2.35
100
d) x  
d) 
4
3
235
100
3
30. A fax machine is marked $165 and is on sale for 18% off. What is the sale price?
a) $194.7
b) $147.00
c) $29.70
d) $135.30
31. Find the average, median and mode of the following data: 6, 10, 5, 14, 10
AVG : 10
AVG : 9
AVG : 9
AVG : 10
a) Median : 5
b) Median : 10
c) Median : 9
d) Median : 5
Mode : 5,6
Mode : 10
Mode : 10
Mode : 5
32. Find the volume of a rectangular box that has a width of 8 ft., a length of 16 ft. and a height
of 2.1 ft.
a) 128 ft 3
b) 26.1ft 3
c) 268.8 ft 3
d) 153.6ft 3
33. How much will it cost to carpet a rectangular room measuring 22 m by 24 m, if carpeting
costs $33.00 per square meter?
a) $1518.50
b) $3036.00
c) $34,848.00
d) $17,424.00
34. Find the least common multiple (LCM) of the following numbers: 5, 15, 80
a) 80
b) 1200
c) 240
d) 5
35. The population of Bayside decreased from 16,000 to 15,120. What is the percent of
decrease?
a) 10%
b) 6.5%
c) 5.8%
d) 5.5%
36. Simplify:
8  (8)
4
a) 0
b) 4
c) undefined
d) –4
37. What is 35% of 70?
a) 24.5
b) 2.45
c) 245
d) 2450
38. What percent of 32 is 28?
a) 89.6%
b) 87.5%
c) 8.75%
d) 1.14%
39. 9 is 15% of what?
a) 0.6
c) 60
d) 135
c) 4 R 12
d) 51 R 7
b) 1.35
40. Simplify: 1235 ÷ 28
a) 44 R 3
b) 40 R 15
Form A Fall 2011
4
41. Find an equivalent expression for
a)
 xy
26 xy
b)
2 xy
26 xy
1
with 26xy as the new denominator.
13x
2y
2
c)
d)
26 xy
26xy
42. Simplify: 131.04 ÷ 5.6
a) 0.234
b) 24.3
c) 23.3
d) 23.4
43. If 3 sweatshirts cost $74.97, what will 5 sweatshirts cost?
a) $124.95
b) $44.98
c) $224.91
d) $374.85
44. Solve: 5(x – 2) = 6 – 3(x – 1)
a) 2.375
b) 2.4
d) 1.625
c) 3.5
45. Denver is 5182 feet above sea level while New Orleans is six feet below sea level. What is
the difference in their elevations?
a) 5176 ft.
b) 5076 ft.
c) 5188 ft.
d) 5198 ft.
46. Solve:
3.6 9

3.2 n
a) n = 8
7
1
47. Simplify: 4  1
8
2
5
a) 7
16
b) n =
b) 5
28.8
3.6
4
7
c) n =
c) 4
7.2
.9
4
7
d) n = 10.125
d) 3
1
4
48. Simplify: 6 x  7 y  8  2 x  (6  3 y)
a) 12xy - 14
x
49. Simplify: 60
3
4
45
a)
x
Form A Fall 2011
b) 4x – 4 + 4y
b)
80
x
c) 8x + 4y – 14
c)
x
80
d) 12x + 10y – 2
d)
x
45
5
50. Simplify:
15  8
4   4 
b) 
a) 0
23
8
7
8
c) undefined
d) 2
c) – 76.9
d) 62.9
c) – 28.25
d) 12.75
51. Simplify: 56   2   5  6.9
2
a) – 4.1
b) 63.1
52. Solve: 0.4x + 3.1 = – 8.2
a) – 12.75
b) – 4.52
53. Find the area of a rectangular pen that is 15 meters by 43 meters.
a) 645 m2
b) 322.5 m2
c) 116 m
d) 58 m
54. Find the volume of a sphere with a radius of 2 meters. (π = 3.14) Round to nearest tenth.
a) 33.5 m3
b) 16.7 m3
c) 12.6 m3
d) 8.4 m3
55. Find the area of a circle with a diameter of 14 in. Use
a) 616 in2
b) 153.86 in2
c) 154 in2
22
for π.
7
d) 44 in2
56. How tall is a tree that casts a shadow of 38 feet at the same time that a flagpole of 70 feet
casts a shadow of 50 feet?
a) 53.2 ft.
b) 58 ft.
c) 154 ft.
d) 44 ft.
57. Find the value of the missing angle.
a) 153°
b) 90°
c) 63°
d) 73°
17
16
a) – 0.9412
b) 1.0625
c) 0.9412
d) –1.0625
b) p = -11
c) p =
58. Simplify: 
59. Solve: 52 = 8 + 4p
a) p = 15
Form A Fall 2011
13
3
d) p = 11
6
60. Find the missing angle measure and the lengths of the indicated sides given m  S = 50 
RS  15
a) SP  15
mR  130
RS  26
b) SP  26
mR  130
RS  26
c) SP  15
mR  50
RS  26
d) SP  15
mR  130
c) PQ = 28
d) PQ = 18.7
61. If PQ || RS , find the missing length PQ.
a) PQ = 29
b) PQ = 31
62. There are a total 52,000 students attending the local university. The graph shows the
percentage of students who attend different sporting events. How many do not attend
volleyball matches?
a) 76%
Form A Fall 2011
b) 39,520
c) 12,480
d) 24%
7
63. Simplify: –2(–5)(7)( –10)
a) –350
b) –700
c) 700
d) 70
64. The pictograph shows actual and projected sales of CDs for a popular country band for
seven consecutive years. ⊙ = 100,000 CDs
Approximately how many fewer CDs were sold in 2009 than in 2011?
a) 500,000 CDs
b) 4 CDs
c) 14 CDs
d) 400,000 CDs
65. The bar graph below shows number of students by major in the College of Arts and
Sciences. How many more students are majoring in math than in science?
a) 50
b) 150
c) 200
d) 350
c) t = 8.75
d) t = – 8
c) 32x + 50
d) 35x – 110
66. Solve: – 8t – 3 = – 67
a) t = 8
b) t = – 8.75
67. Simplify: 25x + 65 – 5(7x – 10)
a) – 10x + 115
b) 445x – 600
 1  3  6  8 
68. Simplify:        
 2  4  7  9 
2
144
b)
b) 
7
504
Form A Fall 2011
c) 
2
7
d) 
36
121
8