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Name __________________________________________________Date______________P___
Ms. McDowell
Midterm Practice Test
Pre-Algebra
1. Write the words that represent
s + 25 .
15. Which of the following
numbers is divisible by 3?
Simplify:
2. [2  (2 + 2)] + 5
16. 4 4 =
ab
for a = 6
a b
and b = 11.
19. Which factor tree is correct?
5. The cost of a school banquet is
$95 + 15n, where n is the
number of people attending.
What is the cost for 83 people?
I.
8
5
3
3
8. Subtract 8 – ( –5 ).
9. Subtract –19 – 3.
2
[A] II
[C] I
2
[B] I & II
[D] Neither
20. What is the greatest common
factor of 24 and 36?
bg
13. Multiply: – 7  – 9 
14. Divide: 14  (–7)
2
?
3
2
29. Write in scientific
notation: 2,300,000
12
II.
4
Subtract:
12. 6  11
4 I8
G
26. Simplify: F
He J
K
28. Simplify:  8  6  32
7. Add: 9 + (–14)
11. –51  25
25. Which is equivalent to
4
5
6  6 ?
12
[D] –8  8
Subtract:
10. – 18  10
24. Write as a power:
8  8  8  8  8
27. Simplify:
6. Which of the following is a
true statement?
[A] 0  – 4
[B] –8  4
[C] –8  4
y
 z for x  3,
3x
y  3, and z  1.
Evaluate
17. Simplify:
3. 5  18  5  9 + 8
4. Evaluate
7(6  3)  3
3
33
18. Which of the following
numbers is prime?
[A] 25
[B] 11
[C] 8
[D] 26
23.
21. Write 3 fractions equivalent
35
to  ?
21
24
22. Write
in simplest form?
40
30. Write in standard
notation: 4.91  107
31. Find the least common
multiple of 24 and 18.
32. Order the following
fractions from least to
2
7
3 1
greatest:
,
,
,
25 24 17 11
33. Write
9
as a decimal.
10
34. Write 2
1
as a decimal.
8
35. Write 0. 36 as the ratio of
two integers.
45. Find the missing term in the
3
d
proportion =
.
5 15
36. Write 0.225 as a fraction?
2 2
37. Simplify:
–
15 5
38. Subtract:
13 9

20 20
39. Multiply:
5
1
 9
7
3
40. Divide:
F
I
G
H J
K
3
4
 
4
12
41. The ratio of cars to people in
Australia is 300 to 1000. Write
this ratio as a fraction in simplest
form.
42. Which of the following are
equal ratios?
[A] 4 : 5 and 8 : 10
[B] 2 : 3 and 3 : 2
[C] 5 : 3 and 10 : 9
[D] 1 : 3 and 6 : 2
46. You can buy 3 peaches for
$1.20. Write a proportion to find
the cost of 5 peaches?
47. Write a proportion to
describe the following: the
school store sells 6 pencils for
$0.99. At this rate, how much
would 16 pencils cost? Solve
your proportion.
48. The actual length of a locust
is 5.6 cm. The scale of a drawing
of the locust is 3 cm : 1 cm. Find
the length of the locust in the
drawing, to the nearest tenth of a
centimeter.
53. Which of the following
equals the decimal 0.42?
4.2
[A] 42%
[B]
100
42
[C] 4.2%
[D]
10
54. Which of the following
can also be written as 84%?
21
[A] 0.16
[B]
25
84
[C]
[D] 8.4
25
55. Write the ratio
1
as a
1000
percent?
56. Write the ratio
10
as a
1
percent?
49. If the figures below are
similar, what is the perimeter of
the smaller figure?
4
2
3
2
5
43. Marie has saved $54. On
Wednesday, she spent $3 of her
savings. Write a ratio that
represents the portion of her total
savings that she still has left?
50. A map has a scale of 1 cm : 4
km. If two cities are 10 cm apart
on the map, what is the actual
distance between the cities, to the
nearest tenth of a kilometer?
44. The state of Georgia is made
up of 159 counties and covers
58,056 square miles. What is the
unit rate of square miles per
county? Round your answer to
the nearest mile.
51. The scale for a drawing of a
gorilla is 1 mm : 4 cm. The
gorilla is 184 cm tall. What is the
height of the gorilla in the
drawing?
52. Write 32% as a reduced
fraction.
57. If Chelsey increased her
total bowling score from 200
to 250, what percent of her
new score is her old score?
58. 40% of what number is
16?
59. Write a proportion and
solve the problem. What is
7% of 55?
60. Write the question as an
equation and solve.
35 is what percent of 175?
61. The sales of HiTop
sneakers rose from $3 million
to $3.5 million. Find the
percent increase to the
nearest whole percent.
62. Day X = 44; Day Y = 33.
What is the percent of change
from Day Y to Day X?
63. The circulation of a
newsletter decreased from 3000
to 2310. What was the
percentage decrease in
circulation?
64. The serving size for a
chocolate cake contains 420
calories. If there are 8 servings in
one cake, how many calories are
there in an entire cake?
72. Use the distributive
property to write an
equivalent expression.
2 9x  4 y
A
67.
b
8 cm
C
8 cm
B
Triangle A
Use the figure above. The
perimeter of ABC = ______.
68. Is a triangle with sides of
length 5 cm, 12 cm, and 13 cm a
right triangle?
Simplify:
74. –2 a  4 a + 5
Solve:
75. k  8  16
76. x – 4 = 8
Solve:
77. 25  5 y
x
78. 63  9 y
20
30°
15
x
66. Two flag poles at Fetzer Park
are 12 feet tall. The distance
from the top of one flag pole to
the base of the other is 20 feet.
What is the number of feet
between the two flag poles?
20 feet
Simplify:
73. 6( x  3)  5x
69. Solve for x.
65. Find the length of the
unknown side.
16
g
12 feet
70. The length of a leg of a 45°45° right triangle is 8 cm. Find
the length of the hypotenuse.
Round answers to the nearest
tenth.
71. Which property is illustrated
by the following statement?
(5 + 6) + 3 = (6 + 5) + 3
[A] Associative Property of
Multiplication
[B] Commutative Property of
Addition
[C] Commutative Property of
Multiplication
[D] Associative Property of
Addition
79. Which of these equations
does NOT have a solution of
2
?
3
4
1
[A] a 
3
2
[B] 6x = 4
1
1
[C] t 
2
3
[D] 12 = 18y
Reference:
[1.1.2.2]
[1] [C]
Reference:
[1.2.1.13]
[2] [C]
Reference:
[1.2.2.16]
[3] [A]
Reference:
[1.3.1.22]
[4] [D]
Reference:
[1.3.2.28]
[5] [A]
Reference:
[1.4.2.37]
[6] [B]
Reference:
[1.5.2.53]
[7] [C]
Reference:
[1.6.1.56]
[8] [B]
Reference:
[1.6.1.57]
[9] [A]
Reference:
[1.6.2.62]
[10] [B]
Reference:
[1.6.2.63]
[11] [B]
Reference:
[1.6.2.64]
[12] [B]
Reference:
[1.9.1.90]
[13] [C]
Reference:
[1.9.2.95]
[14] [B]
Reference:
[4.1.1.1]
[15] [B]
Reference:
[4.2.1.12]
[16] [C]
Reference:
[4.2.2.20]
[17] [B]
Reference:
[4.3.1.28]
[18] [B]
Reference:
[4.3.1.26]
[19] [A]
Reference:
[4.3.2.33]
[20] [D]
Reference:
[4.4.1.37]
[21] [B]
Reference:
[4.4.2.39]
[22] [B]
Reference:
[4.6.2.52]
[23] [C]
Reference:
[4.7.1.56]
[24] [D]
Reference:
[4.7.1.57]
[25] [D]
Reference:
[4.7.2.61]
[26] [C]
Reference:
[4.8.1.63]
[27] [A]
Reference:
[4.8.2.72]
[28] [B]
Reference:
[4.9.1.79]
[29] [D]
Reference:
[4.9.1.80]
[30] [B]
Reference:
[5.1.1.2]
[31] [D]
Reference:
[5.1.2.13]
[32] [C]
Reference:
[5.2.1.16]
[33] [A]
Reference:
[5.2.1.17]
[34] [C]
Reference:
[5.2.2.20]
[35] [D]
Reference:
[5.2.2.24]
[36] [D]
Reference:
[5.3.1.27]
[37] [B]
Reference:
[5.3.1.25]
[38] [B]
Reference:
[5.4.1.35]
[39] [A]
Reference:
[5.4.2.38]
[40] [C]
Reference:
[6.1.1.2]
[41] [C]
Reference:
[6.1.1.6]
[42] [A]
Reference:
[6.1.1.7]
[43] [D]
Reference:
[6.1.2.13]
[44] [D]
Reference:
[6.2.1.16]
[45] [A]
Reference:
[6.2.2.22]
[46] [C]
Reference:
[6.2.2.23]
[47] [A]
Reference:
[6.3.2.29]
[48] 16.8 cm
Reference:
[6.3.1.28]
[49] [D]
Reference:
[6.3.2.30]
[50] [C]
Reference:
[6.3.2.33]
[51] [A]
Reference:
[6.5.1.44]
[52] [D]
Reference:
[6.5.2.52]
[53] [A]
Reference:
[6.5.2.53]
[54] [B]
Reference:
[6.5.2.54]
[55] [C]
Reference:
[6.5.2.55]
[56] [C]
Reference:
[6.6.1.59]
[57] [B]
Reference:
[6.6.2.61]
[58] [A]
Reference:
[6.7.1.64]
[59] [C]
Reference:
[6.7.1.66]
[60] [C]
Reference:
[6.8.1.77]
[61] [C]
Reference:
[6.8.1.80]
[62] [A]
[11.4.1.53]
[64] 3,360
calories
Reference:
[11.2.1.19]
[65] 12
Reference:
[11.2.1.21]
[66] 16 feet
Reference:
[11.2.1.24]
[67] (16 + 128 )
cm or about 27.3
cm
Reference:
[11.2.2.29]
[68] yes
Reference:
[11.5.1.55]
[69] 5 3
Reference:
[11.5.1.56]
[70] 11.3 cm
Reference:
[6.8.2.84]
[63] [C]
Reference:
[2.1.1.2]
[71] [B]
Reference:
Reference:
[2.2.2.22]
[72] [D]
Reference:
[2.3.2.31]
[73] [B]
Reference:
[2.3.2.32]
[74] [D]
Reference:
[2.5.2.51]
[75] [C]
Reference:
[2.5.2.52]
[76] [B]
Reference:
[2.6.1.58]
[77] [B]
Reference:
[2.6.1.59]
[78] [B]
Reference:
[2.6.1.64]
[79] [A]