8th Grade Semester Exam REVIEW
Choose the best answer.
1. Simplify (3)4.
A 281
C 12
B 12
D 81
2. Write 6 6  6  6  6 in exponential form.
F 56
H 66
G 65
I 7776
3. Evaluate x2  y3 for x3 and
y  2.
9.The diameter of the nucleus of a hydrogen
atom is about 1 10–14 meters. The diameter
of the entire atom is 10,000 times that size.
What is the approximate diameter of a
hydrogen atom expressed in scientific
notation?
A 1 10–18 meters
B 10,000 10–14 meters
C 1 10–10 meters
A 17
C 1
D 1 10–9 meters
B 1
D 17
10. Simplify (–2) –3(–2)4.
4. Simplify 105.
F 10000
G 0.00005
H 0.000001
I 0.00001
5. Simplify (5)3.
A –125
C
1
125
1
D 125
125
6. Simplify (1 3)2(2 –4)–2 50.
B 
F 11
1
4
H 17
1
4
3
1
I 21
4
4
7. What is the standard notation equivalent of
3.46 104?
G 16
A 0.000346
C 3,460
B 3,000.46
D 34,600
8. Write 3,480,000,000 in scientific notation.
F 0.348  1010
G 3.48  109
H 3.48  1010
F (–2) –12
H (–2)1
G (–2) –1
I (4)1
11. Simplify
86
8 3
.
A 8–18
C 83
B 8–2
D 89
12. Simplify (155)10.
F 15–5
H 1550
G 1515
I 7510
13. How many square roots exist for the number
4.004?
A 0
C 2
B 1
D 4
14. A square sheet of art paper has an area of
625 square inches. What is the minimum
side length of an easel that supports the
whole sheet of paper?
F –25 inches
G 15 inches
H 25 inches
I 35 inches
I 348  107
15. Evaluate the expression
4 25  200.
A 60
C 210
B 209
D 220
16. Which of these expressions is true?
22. What is the value of x?
F –5   70  –6
G –6   70  –7
H –7   70  –8
I –8   70  –9
F 10
17. A square box lid has an area of
40 square inches. Find the length of one side
to the nearest tenth of
an inch.
A 6.0 inches
C 6.5 inches
B 6.3 inches
D 7.0 inches
18. What is
F
30
G 12
6 • 24 simplified?
H 24
I
144
19. What is 7 2  6 8 simplified?
A  2
C 5 2
B 4
D 7 2  6 8
20. Which of the following is an irrational
number?
5
H
G 0.6
I
F
300
2
144
21. Which of the following is not a real number?
A 
B
C
2
D
13
0
1
16
H
G 12
306
I 13
23. Mrs. Watts hangs student work on a rope,
stretched diagonally across the ceiling, in her
6 meters by 8 meters rectangular classroom.
What is the length of the rope?
A 9 meters
B 10 meters
C
110 meters
D 12 meters
24. The distance between point (–4, 5) and
another point is 10. What are the possible
coordinates of the other point?
F (2, 2)
H (2, 3)
G (2, –3)
I (–2, –3)
25. Which group of numbers could be the
measures of the sides of a right triangle?
A 300, 400, 600
B 5, 6,
61
C 8, 9, 12
D 10, 20, 25
Choose the best answer.
27. Order these numbers from greatest
1
to least:
, 0.20, 4%, 25%
20
A 25%  0.20  4% 
1
20
1
B 0.20  25% 
 4%
20
C 25%  0.20 
D
1
 4%
20
1
 25%  0.20  4%
20
32. After all the taxes are withheld,
Jamie’s pay check is about 80% of
his total earnings. Estimate his pay if
his total earnings for the pay period
are $91.25.
F $18
H $72
G $68
I $81
33. In a free throw contest, Anna makes
85 baskets in 100 tries. What was
her success rate as a reduced
fraction and as a percent?
A
17
, 8.5%
20
C
17
, 85%
20
B
17
, 850%
20
D
85
, 8.5%
100
28. Which comparison is true?
3
F
 74%
4
G 0.175  20%
1
H 35% 
3
I 22%  0.2
29. The bill at a restaurant is $43.89.
Estimate the amount to leave as a
20% tip.
A $2.00
C $9.00
B $8.00
D $11.00
30. Estimate 52% of 49.
F 2.5
G 25
34. What percent of 125 is 40?
F 12.5%
G 32%
H 40%
I 80%
35. Jen can type 20 words per minute. If
Kerry can type 130% faster than Jen,
how fast can Kerry type?
A 14 words per minute
B 26 words per minute
H 250
I 2500
31. Red widgets account for 34% of the
sales of Acme Widget Company. If
next year’s production is planned at
180,000 widgets, estimate how many
of the products should be red.
A 6000
C 60,000
B 34,000
D 550,000
C 34 words per minute
D 52 words per minute
1
red,
5
12% green, and 0.25 of the marbles
are blue. The rest of the marbles are
white. What percent of marbles are
white?
36. A large bag of marbles are
F 13%
H 57%
G 43%
I 87%
37. $80 is 25% of what amount?
A $20
C $400
B $320
D $3200
38. 1200 is 150% of what number?
F 8
G 800
H 1800
I 8000
39. A sample of ocean water contains
7 grams of salt. If 3.5% of the water
sample is salt, find the number of
grams the entire sample weighs.
A 20
C 200
B 24.5
D 245
40. Which gives the percent of increase
from 40 to 52?
F 15%
G 30%
H 77%
I 130%
41. A $950 notebook computer is
discounted 15%. What is the sale
price of the notebook computer?
A $142.50
C $935.75
B $807.50
D $1092.50
42. Last year, Springfield Middle School
had 620 students. This year, it has
582 students. To the nearest tenth,
what is the percent of decrease?
F 6.1%
G 6.6%
H 93.9%
I 106.5%
43. If the sales tax rate is 7%, how much
tax would Luis pay for a $325.80
bicycle and two shirts for $9.99 each?
A $23
B $24
B 23.51
D 24.20
44. Lateisha sold a total of $136,000 of
office equipment last month. If her
commission is 7.8% of sales, how
much commission did she earn?
F $1061
G $10,608
H $11,832
I $106,080
45. Angie has $1032 in her savings
account. If the bank pays 3.5%
simple interest on savings, how
much does she earn in one year?
A $36.12
C $294.86
B $46.44
D $361.20
46. Find the total amount due on a
simple interest loan if the principal is
$1500 with a rate of 7% for 4 years.
Assume one payment is made at the
end of the 4 years.
F $420
H $1605
G $1080
I $1920
Choose the best answer.
Use the illustration for 12.
47. Which of the angles in this figure are supplementary?
A ABF and ABE
B ABF and FBE
C ABF and CBF
D ABF and ABC
48. What is the measure of CBF?
F 90°
H 128°
G 98°
I 136°
49. If line m || line n and 2 measures 35°, what is the measure of 5?
A 55°
B 145°
C 155°
D 180°
50. If x  35, what is the value of y?
F 35
G 55
H 65
I 145