Name: ________________________ Class: ___________________ Date: __________
ID: A
Unit III .......................................................Assessment Review ..................................................Part 2
Solve the equation.
9. A teacher has 50 stickers, 20 buttons, and
100 ribbons. She wants to divide them so that each
portion has an equal number of stickers, an equal
number of buttons, and an equal number of ribbons.
What is the maximum number of portions she can
make?
a. 2
b. 20
c. 10
d. 5
1. 4 (x + 2 ) + 4 = 5(x + 1 ) + 4
2. Find the value of x so that the rectangle and the
triangle have the same perimeter. What is the
perimeter?
Find the greatest common factor of the
numbers.
Solve the inequality. Then graph the solution.
3.
10. 46, 115, 184
m
+ 1 ≥ −1
2
Find the greatest common factor of the
monomials.
4. −3 x + 12 > − 6
5. 7 −
x
< 27
5
11. 108a 4 b 2 , 32a 2 b
a. 2a 2 b
b. ab
c. 4ab
d. 4a 2 b
6. You are planning a skating party at a rink that
charges a basic fee of $5.50 and $7.00 per person
for catered parties. You don't want to spend more
than $103.50. Write and solve an inequality to find
the number of people who can attend the party.
a. 7x + 5.5 ≤ 103.5; x ≤ 14
b. 7x + 5.5 ≥ 103.5; x ≥ 14
c. 7x + 5.5 > 103.5; x > 14
d. 7x + 5.5 < 103.5; x < 14
7. The width of a rectangle is 21 centimeters. The
perimeter is at least 316 centimeters. Write an
inequality that represents all possible values for the
length of the rectangle. Then solve the inequality.
Write the fractions in simplest form. Tell
whether they are equivalent.
12.
3ab 2 3a 2 b
,
4ab
4a
13.
4a 3 c 12a 2 bc
,
6a 2 b 18ab 2
Write the fraction in simplest form.
8. Akeem has $75 in his savings account. He earns
$6.00 an hour mowing lawns. How many hours
must he mow lawns in order to save enough money
to buy a video game system which costs at least
$147? Write an inequality to represent the
situation. Then solve the inequality.
14.
1
9v 2
24v
a. 15v
b. 3v
3v
c.
8
8
d.
3v
Name: ________________________
15.
9b 4
27b
16.
6a 2 b 5
27ab 9
ID: A
20. Which is a pair of complementary angles?
17. A video game has three villains who appear on
screen at different intervals. One villain appears
every 3 seconds, a second villain appears every 14
seconds, and a third villain appears every 12
seconds. How much time passes between the
occasions when all three villains appear at the same
time?
a. 36 seconds
b. 84 seconds
c. 3 seconds
d. 504 seconds
a.
b.
c.
d.
∠b and ∠d
∠a and ∠b
∠c and ∠d
∠b and ∠c
Tell whether the angles are complementary,
supplementary, or neither.
21.
Find the least common multiple of the
monomials.
m∠3 = 48 o
m∠4 = 142 o
a. neither
b. complementary
c. supplementary
18. 24ab, 20a 3
a. 4a
b. 120ab
c. 60a 3 b
d. 120a 3 b
19. An iron worker wants to bolt two long beams
together for strength. The beams are 288 inches (24
feet) long. By mistake he tells one helper to drill
the holes for the bolts every 6 inches and tells
another to drill the holes for the bolts every 16
inches. How far along the beams will the holes
match for the first time?
a. 60 inches
b. 24 inches
c. 72 inches
d. 48 inches
Find the angle measure.
22. ∠1 and ∠2 are supplementary and m∠1 = 72º.
Find m∠2.
a. 18°
b. 8°
c. 108°
d. 162°
Find the measures of the numbered angles. (The
figure may not be drawn to scale.)
23.
2
Name: ________________________
ID: A
Find the value of x in the figure. (The figure
may not be drawn to scale.)
27. BD and CE are diameters of circle F. What is the
measure of ∠AFB? (The figure may not be drawn
to scale.)
24.
25.
a.
b.
c.
d.
a. 1
b. 3
c. 6
d. 4
26. What is the value of y ? (The figure may not be
drawn to scale.)
145º
67º
155º
77º
Tell whether the angles in the diagram are
corresponding, alternate interior, or alternate
exterior angles.
28. ∠4 and ∠6
a. corresponding
b. alternate exterior
c. alternate interior
29. ∠2 and ∠8
30. ∠3 and ∠7
31. ∠1 and ∠5
a. alternate interior
b. alternate exterior
c. corresponding
3
Name: ________________________
ID: A
35. What must be the value of x if a is parallel to b?
(The figure may not be drawn to scale.)
32. Find p, q, r, s, t, u, and v. (The figure may not be
drawn to scale.)
a.
b.
33. Lines r and t are parallel. Find the measures of ∠4
and ∠3. (The figure may not be drawn to scale.)
c.
d.
2
43
43
−
2
2
−
37
37
−
2
−
Find the product. Write your answer using
exponents.
36. 5 4
a.
b.
c.
d.
←

→
· 52
258
256
58
56
Simplify the expression. Write your answer
using exponents.
←
→
34. In the figure, AB is parallel to CD , the measure
of ∠2 = (8x + 22)°, and the measure of
∠7 = 122° . What is the value of x?
37. c 13 · c 4
Simplify the expression.
a.
b.
c.
d.
38. 2a 2 b 5 ·6a 9 b 3
a. 8a 11 b 8
b. 8a 8 b 11
c. 12a 18 b 15
d. 12a 11 b 8
11.5
12.5
13
10
4
Name: ________________________
39.
ID: A
m9 p 16
46.
m3 p 12
1
m p4
a.
6
m6 p 4
m12 p 28
mp 4
b.
c.
d.
47. x −2 · x 5
48. a −5 · a 3 · a −2
Find the quotient. Write your answer using only
positive exponents.
−4
40.
Find the product. Write your answer in
scientific notation.
−3
2a b
4a 8 b 4
Ê
ˆ Ê
ˆ
49. ÁÁ 1.3 × 10 −5 ˜˜ × ÁÁ 2.4 × 10 −5 ˜˜
Ë
¯ Ë
¯
−10
a. 3.12 × 10
b. 31.2 × 10 −11
c. 3.12 × 10 25
d. 3.7 × 10 −10
Ê
ˆÊ
ˆ
50. ÁÁ 1.5 × 10 2 ˜˜ ÁÁ 2.3 × 10 3 ˜˜
Ë
¯Ë
¯
−5
41.
x
x9
a.
b.
c.
d.
42.
1
x 14
1
x4
x 14
x4
51. A planet has an approximate diameter of 1.49 × 10 4
kilometers. Write the diameter in standard form.
a. 14,900 km
b. 149,000 km
c. 1,490,000 km
d. 1490 km
32w −8
4w −12
Write the expression without using a fraction
bar.
Write the number in scientific notation.
1
43.
25
44.
8 −6 · 8 9
a. 8 15
1
b.
854
c. 8 3
1
d.
83
52. 2570
a. 257 × 10
b. 25.7 × 10 5
c. 0.257 × 10 4
d. 2.57 × 10 3
53. 0.000486
5
x−3
Find the product. Write your answer using only
positive exponents.
45. x 0 · x −11
a. x 11
1
b.
x 12
c. x 0
1
d.
x 11
Write the number in standard form.
54. 5.39 × 108
a. 539,000,000
b. 5,390,000,000
c. 53,900,000
d. 0.0000000539
5
Name: ________________________
ID: A
55. 7.13 × 10 −4
63. Find the simple interest earned on $1800 invested
at 6.5% for 2 months.
Write the number in scientific notation.
64. Jerome deposited $6200 into an account that earns
6% interest compounded annually. Find the balance
after 3 years.
56. A virus takes up a volume of approximately
0.000000000000320 cubic centimeter.
65. Michael put $6000 in a savings account that earns
simple annual interest. At the end of one year the
account had earned $570 in interest. What was the
annual interest rate on the account?
57. In 1995, Cambodia had a population of about
10,720,000 people.
Use the simple interest formula to find the
unknown quantity.
a. 9.5%
b. 19.5%
c. 18.5%
d. 8.5%
66. What is the value of x? (The figure may not be
drawn to scale.)
58. I = $90
P= ?
r = 4%
t = 3 months
a. $8500
b. $950
c. $750
d. $9000
59. I = $1800
P = $3200
r= ?
t = 9 years
a.
b.
c.
d.
a. x = 112
b. x = 122
c. x = 102
d. x = 106
67. Consider the figure shown.
6.25%
4.5%
5.25%
9%
Find the simple interest earned on the account.
60. P = $800, r = 8.5%, t = 4 years
a.
b.
c.
d.
a. What is the sum of the interior angles of the
quadrilateral shown?
b. Find the value of x.
c. Find the value of y.
$272
$68
$17
$308.69
For an account that earns interest compounded
annually, find the balance of the account.
61. P = $350, r = 4 %, t = 6 years
62. P = $1410, r = 8%, t = 6 years
6
Name: ________________________
ID: A
Find the sum of the measures of the interior angles
of the regular polygon.
Find the value of x. (The figure may not be drawn
to scale.)
68.
72.
a.
b.
c.
d.
540°
1080°
720°
1440°
a.
b.
c.
d.
630°
810°
1620°
1260°
a. 222
b. 111
c. 291
d. 69
73. Find the measure of each exterior angle of a regular
polygon with 30 sides.
a. 6°
b. 168°
c. 12°
d. 360°
69.
Find each unknown angle measure.
74.
70.
75.
a.
b.
c.
d.
1440°
900°
1800°
720°
Find the measure of an interior angle and the
measure of an exterior angle for the regular
polygon.
71. 24-gon
7
ID: A
Unit III .......................................................Assessment Review ..................................................Part 2
Answer Section
1. 3
2. x = 4; perimeter = 26
3. m ≥ −4
4. x < 6
5. x > −100
6. A
7. 2l + 42 ≥ 316
l ≥ 137; The length is at least 137 cm.
8. 75 + 6x ≥ 147
x ≥ 12
He would have to work at least 12 hours.
9. C
10. 23
11. D
3b 3ab
12.
,
, no
4
4
2ac 2ac
13.
,
, yes
3b 3b
14. C
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
b3
3
2a
9b 4
B
D
D
B
A
C
m∠7 = 56º, m∠8 = 124º, m∠9 = 56º
13
B
49
1
ID: A
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
D
B
alternate interior
corresponding
C
p = r = s = v = 121
q = t = u = 59
m ∠ 4 = 55°; m ∠ 3 = 55°
B
D
D
37. c 17
38. D
39. B
1
40.
12
2a b 7
41. A
42. 8w 4
43. 5 −2
44. 5x 3
45. D
46. C
47. x 3
1
48.
a4
49. A
50. 3.45 × 105
51. A
52. D
53. 4.86 × 10 −4
54. A
55. 0.000713
56. 3.2 × 10 −13
57.
58.
59.
60.
61.
62.
63.
64.
65.
66.
1.072 × 10 7
D
A
A
$442.86
$2237.49
$19.50
$7384.30
A
A
2
ID: A
67. a. 360º
b. x = 117
c. y = 63
68. B
69. D
70. A
71. 165°, 15°
72. B
73. C
74. 55°, 60°, 75°, 80°
75. 56°, 84°, 92°, 128°
3