Download Unit III Review 1

Name: ________________________ Class: ___________________ Date: __________
ID: A
Unit III .......................................................Assessment Review ..................................................Part 2
Which variable expression represents the phrase?
6. (1 point) Compare each number in the top row of
the table with the number in the bottom row in the
table. Which variable expression for x completes
the table?
1 2 3 4
5 ... x
1. (1 point) 3 more cans than Tom collected
t
a.
3
b. t + 3
c. 3t
d. t − 3
1
4
a.
b.
c.
d.
Write the phrase as an expression. Let x represent
the number.
2. (1 point) A number is decreased by 14
9
25
...
?
x
x2
x4
2⋅x
Evaluate the expression.
Write the product using an exponent.
7. (1 point)
3. (1 point) 11 ⋅ 11 ⋅ 11 ⋅ 11
a. 114
b. 11 ⋅ 4
c. 4 11
d. 444
a.
b.
c.
d.
5.6 − 1.1
5+4
1.4
0.5
0.6
1.7
Evaluate the expression when x = 5, y = 20, and
z = 2.
Write the power in words and as repeated
multiplication. Then evaluate the power.
8. (1 point) z 2 + x (3 − 1)
4. (1 point) 5 6
9. (1 point) Five friends are dining together and want
to buy 3 salads, 5 sandwiches, 2 bowls of soup, 1
large drink, and 4 medium drinks. They plan on
dividing the cost evenly among themselves.
Item
Price
5. (1 point) Use the formula V = s to find the
volume of the cube with side length s.
3
a.
b.
c.
d.
16
3
60 cubic inches
12 cubic inches
64 cubic inches
16 cubic inches
Sandwich
$3.50
Salad
$1.50
Soup
$2.25
Small Drink
$0.85
Medium Drink
$0.95
Large Drink
$1.05
Write and evaluate an expression to find the cost
each person will owe towards the meal.
1
Name: ________________________
ID: A
10. (1 point) The cost of a school banquet is $70 plus
$13 for each person attending. Write an expression
that models this problem. What is the cost for 90
people?
11. (1 point) Hiro plans to paint baskets. The paint costs $14.50. The baskets cost $7.25 each. Write an expression that
models the cost for x baskets. Determine the cost of four baskets.
Find the absolute value of the number.
12. (1 point) −10
Write the addition expression modeled on the number line. Then find the sum.
13. (1 point)
Find the sum.
Evaluate the expression when
a = −6, b = −13 and c = 4.
14. (1 point) −6 + 2 + (−5)
a. −3
b. 9
c. 13
d. −9
15. (1 point) −13 + c + b
a. −15
b. −22
c. −1
d. 1
16. (1 point) An elevator started on the 14th floor. It went down 7 floors, up 4 floors, up 9 floors, and down 3 floors.
On what floor did the elevator finally stop?
Find the difference.
Evaluate the expression when
x = −4, y = 10, and z = −9.
17. (1 point) −22 − (−7)
a. 15
b. –15
c. –29
d. 29
19. (1 point) x − y − z
a. −5
b. −23
c. 15
d. 24
Find the change in temperature.
Find the product.
18. (1 point) From − 13°C to 15°C
a. −28°C
b. −2°C
c. 28°C
d. 2°C
20. (1 point) 8 (−4)
a. –32
b. 12
c. 4
d. 32
2
Name: ________________________
ID: A
Find the quotient.
23. (1 point) Name the point at (3,−2).
21. (1 point) −12 ÷ (−4)
1
a. −
3
b. 3
c. −3
1
d.
3
A student measured the temperature in degrees
Celsius for several winter days and recorded the
data in a list. Find the mean of the temperatures
listed.
a. F
b. H
c. G
d. E
24. (1 point) The point (a,−b) is located in Quadrant
IV of a coordinate plane. Identify the location of
the point with the coordinates (−a,−b).
a. The point is located in Quadrant II.
b. The point is located in Quadrant I.
c. The point is located in Quadrant III.
d. The point is located on the x-axis.
22. (1 point) 3°, −10°, −8°, 2°, −11°, 0°, −7°, −1°
a. −2°C
b. −3°C
c. −4°C
d. −5°C
25. (1 point) The table shows the amount of time several students spent watching TV and their test grades.
Weekly TV (h) 6 12 18 24 30 36
Grade (%)
80 75 60 65 50 45
Graph the ordered pairs and make a statement about the trend that can be seen.
3
Name: ________________________
ID: A
26. (1 point) The table below shows the depth of the water in a swamp over time.
Water Level
Time (Week)
Depth
1
8.63
2
5.88
3
4.25
4
2.25
5
0.13
Find the scatter plot that shows the relationship between time and the depth of the water.
a.
The depth of the water
decreases over time.
b.
The depth of the water
decreases over time.
c.
The depth of the water
increases over time.
d.
The depth of the water
increases over time.
4
Name: ________________________
ID: A
27. (1 point) The number of employees a business has employed over the years is given in the table. Sketch a scatter
plot of the data. Put years on the horizontal axis. Then describe any pattern you see in the scatter plot.
Number of years in business 1
2
3
4
5
6
7
8
Number of employees
15
21
27
28
39
Evaluate the expression. Justify each step.
40
44
52
31. (1 point) Convert 2 yards to inches.
a. 72 in.
b. 27 in.
c. 6 in.
d. 24 in.
32. (1 point) A wire is 0.2 meters long. What is its
length in centimeters?
a. 0.02 centimeters
b. 0.2 centimeters
c. 200 centimeters
d. 20 centimeters
33. (1 point) The recipe you are following calls for
10 pounds of fruit. You have 164 ounces of fruit.
Do you have enough fruit? If you have enough
fruit, how much extra do you have? If you do not
have enough, how much more do you need?
a. No, 4 oz
b. Yes, 4 oz
c. No, 5 oz
d. Yes, 5 oz
28. (1 point) 85 + 92 + 15
Identify the property illustrated in the statement.
29. (1 point) 5b (1) = 5b
a. Identity property of addition
b. Identity property of multiplication
c. Commutative property of multiplication
d. Commutative property of addition
30. (1 point) −2 (7x) = (−2 ⋅ 7)x
a. Associative property of addition
b. Commutative property of addition
c. Associative property of multiplication
d. Commutative property of multiplication
5
Name: ________________________
ID: A
Find the area of the triangle.
34. (1 point)
Use the distributive property to write an equivalent
variable expression.
Identify the terms, like terms, coefficients, and
constant terms. Then simplify the expression.
35. (1 point) 7(9 − 2x)
37. (1 point) 4b + 7 − 5b − 19
a. terms: 4b, − 7, 5b, − 19
like terms: 4b and 5b, − 7 and − 19
coefficients: 4, 5
constant terms: − 7, − 19
simplified expression: 9b − 26
b. terms: 4b, − 7, 5b, 19
like terms: 4b and 5b, − 7 and 19
coefficients: 4, 5
constant terms: − 7, 19
simplified expression: 9b + 12
c. terms: 4b, 7, − 5b, 19
like terms: 4b and − 5b, 7 and 19
coefficients: 4, − 5
constant terms: 7, 19
simplified expression: − b + 26
d. terms: 4b, 7, − 5b, − 19
like terms: 4b and − 5b, 7 and − 19
coefficients: 4, − 5
constant terms: 7, − 19
simplified expression: − b − 12
36. (1 point) -4 (x - 4)
a. -4 x - 4
b. -4 x - 16
c. -4 x + 4
d. -4 x + 16
Simplify the expression.
38. (1 point) 7x + 6 (x + 5 ) + 5 (x + 2 )
a. 18x + 20
b. 8x + 20
c. 18x + 7
d. 18x + 40
6
Name: ________________________
ID: A
Perform the indicated operation.
39. (1 point) Write an equation equivalent to the verbal
statement "the sum of three times a number n and 7
is 16."
44. (1 point) 646.84 + (− 19.5)
a. 451.84
b. 64,489
c. 627.34
d. 666.34
45. (1 point) − 8 (2.25)
40. (1 point) Which of the following shows the correct
equation and solution for the situation?
What number of pictures, one to a page, can be
photocopied and placed into 12 equal groups to get
108 total pictures?
a. x − 108 = 12 ;
x = 120
b. x + 12 = 108 ;
x = 96
c. 12x = 108;
x= 9
d. x ÷ 12 = 108 ;
x = 1296
46. (1 point) The perimeter of the figure is 28.01
centimeters. Find the value of x.
Solve the equation. Check your solution.
Solve the equation. Check your solution.
41. (1 point) –3 + j = –9
a. 3
b. –5
c. –6
d. –12
47. (1 point) −10 + 2x = 4
a. 7
b. 5
c. –9
d. –3
48. (1 point) A local nursery sells rhododendrons and
azaleas to landscapers. One month they sold 184
more rhododendrons than azaleas. The total
number of plants sold was 530. Which equation
could be used to solve for a, the number of azaleas
sold?
a. 2a + 184 = 530
b. a − 184 = 530
c. 2a − 184 = 530
d. a + 184 = 530
Solve the equation.
42. (1 point) 14x = −728
1
a. −
52
1
b.
52
c. 52
d. −52
43. (1 point) You receive $68 for mowing lawns for 8
hours. Which equation can you use to find how
much you make per hour?
a. none of these
b. 68x = 8
x
c.
= 68
8
d. 8x = 68
Solve the equation. Then check the solution.
49. (1 point) −2 (6n − 5) = −26
a. −5
b. 3
c. −2
d. 4
7
Name: ________________________
ID: A
Find the value of x for the figure.
Write the prime factorization of the number.
50. (1 point) Perimeter = 28
a.
b.
c.
d.
55. (1 point) 51
a. 3 2 ⋅ 17
b. 3 ⋅ 5 ⋅ 17
c. 3 ⋅ 52 ⋅ 17
d. 3 ⋅ 17
56. (1 point) Davin and Troy wanted to find out which
numbers between 10 and 18 were prime. They
tested 11, 12, 13, 14, 15, 16, and 17. Which
numbers did they find out were prime?
a. 11, 13, and 17
b. 11, 13, 15, and 17
c. 12 and 15
d. 12, 14, and 16
6
7
20
21
Solve the equation.
51. (1 point) 16 − x = − 5x + 8
a. 6
b. −2
c. −4
d. 12
Find the greatest common factor of the
numbers.
57. (1 point) 120, 140
a. 840
b. 20
c. 4
d. 168
Write the verbal sentence as an equation. Then
solve the equation.
52. (1 point) Fifteen plus twice a number is equal to 3
times the number.
a. 15 + 2x = 3x ; 15
b. none of these
c. 15 = 2x + 3x ; 3
d. 15 + 3x = 2x ; − 1
53. (1 point) Find the value of x so that the rectangle
and the triangle have the same perimeter. What is
the perimeter?
Decide whether the numbers are relatively
prime. If not, find the greatest common factor.
58. (1 point) 32, 48
a. Yes
b. No; 4
c. No; 16
d. No; 24
59. (1 point) The prime factorizations of 24, 36, and
270 are shown below.
24 = 2 ⋅ 2 ⋅ 2 ⋅ 3
36 = 2 ⋅ 2 ⋅ 3 ⋅ 3
270 = 2 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ 5
Which of the following is the greatest common
factor of 24, 36, and 270?
a. 216
b. 6
c. 30
d. 5
54. (1 point) Which shows all of the factors of 315?
a. 3, 5, 7, 9, 15, 21, 35, 45, 63, 105
b. 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
c. 3, 3, 5, 7
d. 1, 3, 5, 7, 315
8
Name: ________________________
ID: A
Write the fraction or mixed number as a decimal.
60. (1 point) 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
65. (1 point)
a.
b.
c.
d.
0.21
1.53846
13.00
0.65
Write the decimal as a fraction or mixed number.
66. (1 point) − 0.015
3
a. −
200
2
b. −66
3
3
c. −
2
15
d. −
10,000
Write the fractions in simplest form. Tell
whether they are equivalent.
61. (1 point)
13
20
25 200
,
45 360
Find the least common multiple of the numbers.
62. (1 point) 9, 18
a. 27
b. 162
c. 9
d. 18
63. (1 point) 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
64. (1 point) 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
Order the decimals from least to greatest.
67. (1 point) 0.244, 0.24, 0.24, 0.242
a. 0.244, 0.24, 0.24, 0.242
b. 0.242, 0.24, 0.24, 0.244
c. 0.242, 0.24, 0.244, 0.24
d. 0.244, 0.242, 0.24, 0.24
Find the sum or difference.
68. (1 point) 12
a.
b.
c.
d.
9
5
11
1
9
12
10
9
11
1
2
5
14
2
3
−2
11
11
Name: ________________________
ID: A
Find the sum or difference.
69. (1 point) 11
a.
b.
c.
d.
Evaluate the expression.
1
1
−2
8
9
73. (1 point)
1
72
1
10
72
8
505
10
9
a.
b.
c.
d.
2 6 1
÷ −
3 7 2
2
5
5
18
3
3
5
1
3
2
Find the product.
Solve the equation. Check your solution.
1 1
70. (1 point)
⋅
2 3
27
a.
2
3
b.
11
3
c.
2
1
d.
6
74. (1 point) 6 =
b.
c.
d.
7
8
9
−14
56
53
−14
56
7
−14
8
−13
a.
4
b.
1
c.
d.
b.
9
c.
19
d.
10
3
7
3
5
Write the equivalent rate.
76. (1 point)
a.
b.
c.
d.
Find the quotient.
72. (1 point) 4
−1
1
75. (1 point) − y + 45 = 51
3
a. −288
b. −40
c. –18
d. −2
3 ÊÁ 3 ˆ˜
71. (1 point) 4 ⋅ ÁÁÁÁ −3 ˜˜˜˜
7 Ë 8¯
a.
a.
7
y −8
5
1
1
÷1
2
8
7
9
2
2
3
1
10
15
2.5
1.65
5940
99 km ? km
=
hour
min
Name: ________________________
ID: A
82. (1 point) If ∆IJK~∆KLM , find a pair of
corresponding angles.
77. (1 point) According to a recent survey, 20 out of
every 25 students do not walk to school. Which of
the following represents the ratio of walkers to total
students?
1
a.
5
b. 5
4
c.
5
1
d.
4
78. (1 point) Mr. Jones has taken a survey of college
students and found that 1 out of 6 students are
liberal arts majors. If a college has 7000 students,
what is the best estimate of the number of students
who are liberal arts majors?
a. 117
b. 1167
c. 210
d. 42,000
a. ∠I and ∠M
b. ∠J and ∠M
c. ∠IKJ and ∠MKL
d. ∠IKJ and ∠M
83. (1 point) If trapezoid MJKL is similar to trapezoid
QRST , which is a pair of corresponding sides?
Tell whether the ratios form a proportion.
79. (1 point)
189 63
,
423 141
80. (1 point) Jamie traveled 472.5 miles on 31.5
gallons of gas. How many miles can she travel on
9.03 gallons of gas?
a. 120.6 mi
b. 135.45 mi
c. 115.5 mi
d. 96.24 mi
81. (1 point) Andrew owns a lawn-mowing business
which contracts with 43 customers each week. Last
week the business earned $870.75. How many
weeks will it take to earn $6095.25?
a. 7 wk
b. 4 wk
c. 12 wk
d. 9 wk
a.
b.
JK and ST
ML and QT
c.
MJ and QT
d.
KL and QR
84. (1 point) If ∆MNL ≅ ∆ONP, which side of
∆MNL corresponds to PO?
11
Name: ________________________
ID: A
85. (1 point) Given ∆ABC ∼ ∆DEF, AB = 5, BC = 10, DE = 8, and DF = 2,
find the ratio of the lengths of the corresponding sides of ∆ABC to∆DEF .
1
a.
2
5
b.
8
c. 2
d. 5
86. (1 point) Given ABCD ∼ EFGH, find x. (The
figures may not be drawn to scale.)
90. (1 point) The scale model of a house that Tara built
is shown below. The actual house has a width of 36
feet and a length of 60 feet.
a. 9 cm
b. 10 cm
c. 11 cm
d. 12 cm
87. (1 point) A building casts a shadow 168 meters
long. At the same time, a pole 5 meters high casts a
shadow 20 meters long. What is the height of the
building?
What is the scale of the dimensions of the model to
the dimensions of the actual house? (The figure
may not be drawn to scale.)
a. 1 inch : 6 feet
b. 1 inch : 4 feet
c. 1 inch : 36 feet
d. 1 inch : 6 inches
The scale on a map is 1 centimeter : 5 kilometers.
Use the given actual distance to find the distance
on the map.
88. (1 point) 105 km
a. 30 cm
b. 21 cm
c. 10.5 cm
d. 525 cm
Write the scale without units.
89. (1 point) 1 in. : 30 ft
a. 1 : 360
b. 1 : 30
c. 1 : 36
d. 1: 3000
12
Name: ________________________
ID: A
93. (1 point) If all possible results are equally likely,
what is the probability that a spin of the spinner
below lands on a capital letter or a vowel?
91. (1 point) If you spin the spinner, what is the
probability of landing on R?
94. (1 point) You are one of 20 people entering a
contest. What is the theoretical probability that
your name will be drawn first?
1
a.
19
1
b.
10
1
c.
20
1
d.
21
95. (1 point) A brown paper bag contained 10 cubes,
colored either red or yellow. Each of 25 students
selected a cube from the bag without looking,
recorded the color in the chart below, and replaced
the cube.
1
4
1
b.
2
c. 1
3
d.
8
92. (1 point) This chart shows the cans of vegetables in
Parker's cupboard.
cans of beets
7
a.
cans of carrots
2
cans of lima beans 2
If he chooses a can without looking, what is the
probability that it is a can of lima beans?
2
a.
9
9
b.
11
c. none of these
1
d.
2
Based on the results shown in the chart, which is
the best prediction of the number of red and yellow
cubes in the bag?
a. 4 red cubes and 6 yellow cubes
b. 3 red cubes and 7 yellow cubes
c. 7 red cubes and 3 yellow cubes
d. 6 red cubes and 4 yellow cubes
13
Name: ________________________
ID: A
96. (1 point) Use a tree diagram to find the number of
choices that are possible if you choose one of
3 books, one of 4 folders, and one of 4 binders.
a. 40 choices
b. 33 choices
c. 11 choices
d. 48 choices
97. (1 point) If you select one of the 6 cards and roll the 6-sided number cube, how many possible outcomes are there?
a.
b.
c.
d.
30
12
36
11
98. (1 point) At a carnival concessions stand, you may
choose to purchase a hamburger, a chicken burger,
a Polish sausage, or a fish sandwich. You may buy
a side order of fries, potato salad, or green salad.
You may drink iced tea, soda, milk, juice, or water.
How many meal choices do you have?
a. 72
b. 60
c. 12
d. 19
Find the percent of the number.
100. (1 point) 25% of 36
a. 9
b. 10
c. 1
d. 0.9
101. (1 point) Which list shows the numbers in order
from least to greatest?
Write the fraction as a percent.
99. (1 point)
a.
b.
c.
d.
a.
3
5
b.
c.
30%
60%
0.6%
6%
d.
14
5 8
, , 92.5%
6 9
8
5
, 0.8437, 85.6%, , 92.5%
9
6
5
8
, 0.8437, 85.6%, , 92.5%
6
9
8
5
92.5% , , 85.6%, 0.8437,
9
6
0.8437, 85.6%,
Name: ________________________
ID: A
102. (1 point) A small-business owner analyzed her
business expenses for the last year. She calculated
that about 15% of her total expenses went to pay
suppliers, 51% went to pay employee costs, 10%
went to pay for advertising and shipping costs, and
the rest was for rent, utilities, and miscellaneous
costs. If the circle graph below represents her
expenses, which section of the graph illustrates her
payments to suppliers?
Write the percent as a decimal.
108. (1 point) 195%
a.
b.
c.
d.
19.5
1.95
195.0
0.0195
Write the fraction as a percent.
109. (1 point)
a.
b.
c.
d.
b.
c.
d.
110. (1 point) 0.45% of 20
19
50
4
43
5
219
500
1
25
a. 19.55
b. 0.9
c. 0.09
d. 9
111. (1 point) During the hockey season, Pete scored
goals on 15% of the shots he took. If he scored 75
goals, how many shots did he take?
4
a. 113
b. 1125
c. 50
d. 500
112. (1 point) Luis makes a 4% commission on his sales
in a sporting goods store. For a $70 purchase, how
much commission does Luis earn?
Use a proportion to answer the question.
104. (1 point) 18 is 60% of what number?
105. (1 point) What number is 35% of 400?
106. (1 point) What percent of 20 is 12?
Write the decimal as a percent.
107. (1 point) 0.453
a.
b.
c.
d.
0.388%
388%
38. 8%
3.88%
Find the percent of the number.
103. (1 point) Which of the following is equivalent to
43.8%?
a.
7
18
4.53%
0.453%
45.3%
453%
15
Name: ________________________
ID: A
117. (1 point) Theatre Outfitters International is
advertising full-size movie screens for 50% off the
regular price. If the regular price of a full-size
screen is $530, find the amount of the discount.
Identify the percent of change as an increase or
a decrease. Then find the percent of change.
Round your answer to the nearest tenth if
necessary.
113. (1 point) Original: 410
New: 195
a. $480
b. $265
c. $345
d. $50
118. (1 point) A store gives customers a markup of 13%.
If the store sells a belt for $25, what was the
wholesale price paid for the belt by the store?
a. increase, 26.2%
b. decrease, 53.4%
c. decrease, 52.4%
d. increase, 104.8%
114. (1 point) In 1985, the circulation of a local
newspaper was 4880. In 1986, its circulation was
1470. Find the percent of change in the newspaper's
circulation. Is this a percent of increase or
decrease?
a.
b.
c.
d.
Which statement about the table shown below is
true?
119. (1 point)
x
–5
y
-10
66.2%; increase
66.2%; decrease
69.9%; decrease
69.9%; increase
a.
b.
Use the given information to find the new
amount.
c.
115. (1 point) Original price: $9
Discount percent: 30%
a.
b.
c.
d.
d.
$8.73
$11.70
$6.30
$2.70
Use the given information to find the total cost.
116. (1 point) Dinner bill: $98
Sales tax: 7%
Tip: 16%
a.
b.
c.
d.
$22.54
$120.54
$106.82
$89.18
16
2
4
–6
-12
–1
-2
4
8
As the x-coordinate increases, the y-coordinate
stays the same.
As the x-coordinate increases, the y-coordinate
decreases.
As the x-coordinate increases, the y-coordinate
increase.
As the y-coordinate increases, the x-coordinate
stays the same.
Name: ________________________
ID: A
Make a table of values for each equation when x =
–1, x = 0, and
x = 1. Then graph each equation in a coordinate
plane.
c.
x
−1
0
1
y
−3
0
3
120. (1 point) y = − x + 1
x
–1
0
1
y
?
?
?
d.
121. (1 point) y = 3x
x −1 0
a.
y −3 0
1
3
Find the value of x. Then classify the triangle by
its angle measures. (The figure may not be drawn
to scale.)
122. (1 point)
a.
b.
c.
d.
b.
17
41; obtuse
19; acute
20; right
21; obtuse
Name: ________________________
ID: A
123. (1 point) Find the value of x so the triangle will be
equilateral. Then find the perimeter of the triangle.
Find the unknown measure in the
parallelogram. (The figure may not be drawn to
scale.)
126. (1 point) A = 41.04 cm2
Find the value of x. (The figure may not be
drawn to scale.)
124. (1 point)
a.
b.
c.
d.
a. 15
b. 20
c. 30
d. 10
125. (1 point)
Find the area of the parallelogram. (The figure
may not be drawn to scale.)
a.
b.
c.
d.
6. 6 cm
233.928 cm
72 cm
7.2 cm
127. (1 point)
125
215
80
35
a. 462 mm2
b. 798 mm2
c. 924 mm2
d. 1050 mm2
128. (1 point)
18
Name: ________________________
ID: A
Find the area of the trapezoid. (The figure may
not be drawn to scale.)
Find the circumference of the
22
circle. Use
for π .
7
129. (1 point)
131. (1 point)
a.
b.
c.
d.
280 m2
200 m2
400 m2
140 m2
a.
b.
c.
d.
Find the area of the circle. Use 3.14 for π .
130. (1 point)
265 cm
528 cm
132 cm
264 cm
Find the radius and the diameter of the circle
with the given area. Use 3.14 for π .
a.
b.
c.
d.
132. (1 point) A = 283.385 ft 2
a. radius: 19 ft, diameter: 9.5 ft
b. radius: 9.5 ft, diameter: 19 ft
c. radius: 17 ft, diameter: 8.5 ft
d. radius: 8.5 ft, diameter: 17 ft
133. (1 point) A square wheat field is watered by a
center pivot irrigation system with a 48-foot radius.
Find the area of the field that will not be
irrigated. Use 3.14 for π .
379.94 m2
1519.76 m2
94.99 m2
69.08 m2
a.
b.
c.
d.
19
2002.6 ft 2
685.4 ft 2
1981.4 ft 2
2304.0 ft 2
Name: ________________________
ID: A
134. (1 point) The stem-and-leaf plot shows the number of toys collected by various schools for
a children's center. How many schools collected more than 41 toys?
Number of Toys Collected
3
4
0 3 6 7 9 9
0 3 5 5
0 1 1 1 3
5
Key: 3 | 0 = 30
a. 9
b. 10
c. 8
135. (1 point) Which data set represents the stem-and-leaf plot below?
6
4 6 8
7
6 8 9
8
7 9
d.
7
Key: 6 | 4 = 64
a. 46, 66, 86, 67, 87, 97, 78, 98
c. 64, 66, 68, 76, 78, 79, 87, 89
b. 4, 6, 8, 6, 8, 9, 7, 9
d. 64, 66, 68, 67, 87, 97, 78, 98
136. (1 point) The histogram shows the number of minutes students at Montrose Junior High typically spend on
household chores each day. About how many students spend 80-99 minutes on chores?
a. 9 students
c. 3 students
b. 4 students
d. 7 students
137. (1 point) Which type of display would best show the percent of candy sold in each of several categories?
a. scatter plot
c. line graph
b. box-and-whisker plot
d. circle graph
20
Name: ________________________
ID: A
141. (1 point) In a random survey of 100 students, 22
said their favorite color is purple and 29 said their
favorite color is red. Based on this sample, predict
how many of 700 students have a favorite color
other than purple or red.
a. about 51 students
b. about 343 students
c. about 49 students
d. about 357 students
142. (1 point) A survey found that 30 students in a
random sample of 150 students at a local high
school own a portable CD player. The school has
1510 students. Predict how many students in the
school own a portable CD player.
a. about 302 students
b. about 506 students
c. about 280 students
d. about 415 students
138. (1 point) The following table shows the number of
people in each age group at a sports camp. Which
type of display would best represent the data?
Age Group
7–9
10–12
13–15
16–18
19–21
Number of People
6
4
9
8
6
a. a circle graph
b. a histogram
c. a bar graph
d. a stem-and-leaf plot
139. (1 point) Out of 515 middle-school students, 245
are boys. In a survey of 27 girls, 7 said they saw a
new movie. Based on this sample, predict how
many girls at the school saw the movie.
True or False:
140. (1 point) Game wardens can use experiments to
help determine the number of fish in a lake.
Suppose 45 fish are caught, tagged and released
back into the lake. Two weeks later 50 fish are
caught, of which 3 are found to have tags.
Assuming that the sampling was random and was
not likely to over represent one type of fish,
estimate the number of fish in the lake.
143. (1 point) The probability P (not 3) =
5
when a fair
6
number cube is rolled.
144. (1 point) When rolling a fair number cube, rolling a
multiple of 3 and rolling a multiple of 2 are
complementary events.
21
Name: ________________________
ID: A
145. (1 point) The ABC Company employs 200 people. The graph shows the distribution of the company's employees
by job type.
What is the probability that a randomly picked employee does not work in Clerical Support or Production?
a. 0.5%
c. 55%
b. 45%
d. 30%
148. (1 point) The spinner is divided into equal parts.
What is the probability of drawing a card with the
number 2 on it and having the spinner land on the
number 2?
146. (1 point) A spinner is divided into 8 equal parts and
numbered from 1 through 8. What is the probability
of spinning a number less than 4 or greater than 7
in a single spin?
5
a.
8
3
b.
8
1
c.
8
1
d.
2
147. (1 point) The probability of getting assigned a
locker which is next to a classroom door is 7%.
What is the probability of not getting a locker next
to a classroom door?
a.
b.
c.
d.
22
1
9
1
12
1
7
1
20
Name: ________________________
ID: A
Tell whether the sequence is arithmetic or
geometric. Then find the common difference or the
common ratio, and write the next three terms.
149. (1 point) The spinners are divided into equal parts.
Spinner A is spun, and then Spinner B is spun.
What is the probability of landing on 2 both times?
Spinner A
152. (1 point) 400, − 200, 100, − 50, . . .
a. arithmetic; common
difference: − 50; 0, − 50, − 100
1
25 25
b. geometric; common ratio: − ; 25, − ,
2
2
4
1
25 25
c. geometric; common ratio: ; 25,
,
2
2
4
d. arithmetic; common
1
25 25
difference: − ; 25, − ,
2
2
4
153. (1 point) −55, − 40, − 25, − 10, . . .
a. arithmetic; common difference: 15; 5, 20, 35
b. geometric; common ratio: 15; 5, 20, 35
c. geometric; common
ratio: − 15; 150, − 2250, 33, 750
d. arithmetic; common
difference: − 15; − 5, 20, 35
Spinner B
1
18
2
b.
15
4
c.
3
1
d.
15
150. (1 point) A bag contains 7 yellow, 6 blue, and 3 red
marbles. Two marbles are drawn at random, one at
a time, without replacement. Which is the
probability that both are blue?
3
a.
8
1
b.
2
9
c.
64
1
d.
8
151. (1 point) Suppose the first term in a sequence is 5
and the rule for finding terms is to multiply the
previous term by 5 and add 1. Give the first 6 terms
in the sequence.
a.
Tell whether the sequence is arithmetic or
geometric. Write the next three terms of the
sequence. Then graph the sequence.
154. (1 point) 1, 3, 9, 27, . . .
155. (1 point) In 1998, the average cost of a ticket on a
privately-owned airline was $110. This amount has
increased by approximately $87 yearly. How much
should you expect to pay for a ticket on this airline
in the year 2014?
a. $1589
b. $1518
c. $1502
d. $1392
156. (1 point) Suppose on the first day of summer, 5
people go to Rocky Beach. On the second day, 20
people go to the beach, on the third day, 80 people
go to the beach, and so on in a geometric sequence.
Find the number of people who went to the beach
on the fifth day.
a. 1280
b. 2500
c. 5120
d. 320
23
Name: ________________________
ID: A
157. (1 point) A pattern of squares is displayed.
a. Copy and complete the table.
Figure (term number)
No. of squares (term)
1
1
2
3
3
5
4
7
5
?
6
?
7
?
8
?
b. Write a general rule for this sequence.
c. If the pattern is continued, how many squares will be in the eleventh figure?
158. (1 point) Your account had the following balances during the week.
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
−$12
$10
−$3
−$6
$7
$11
$2
a. Graph these balances on a number line.
b. What is the greatest balance?
c. What is the least balance?
d. Which of these balances has the greatest absolute value? What is it?
Write an inequality to represent the situation.
161. (1 point) When a number is multiplied by 3, the
result is less than 9.
a. x < 27
b. 3x < 9
c. 3x > 9
d. x > 27
159. (1 point) When a number is decreased by 4, the
result is more than 4.
a. x − 4 < 4
b. x − 4 > 4
c. x + 4 < 4
d. x + 4 > 4
Write the verbal sentence as an inequality. Then
solve the inequality.
Which inequality represents the verbal sentence?
162. (1 point) A number divided by 14 is at least
− 182.
160. (1 point) When a number is divided by 24, the
result is greater than − 8.
x
a.
> −8
24
b. x > −3
x
c.
≥ −8
24
d. x < −3
24
Name: ________________________
ID: A
163. (1 point) Daniel is processing a large document on a computer. This scatter plot shows how many pages he
produced each hour.
Use a fitted line to predict the number of pages Daniel can produce in 10 hours.
a. 40
b. 45
c. 15
d. 30
164. (1 point) Glenalee is making home-made cards to send to friends and family and to sell at the local craft fair. This
scatter plot shows how many cards she made after each hour she worked on the task.
Use a fitted line to predict the number of cards Glenalee can make in 13 hours.
a.
b.
c.
d.
56
31
66
46
25
Name: ________________________
ID: A
Plot the points listed below in the same
coordinate plane. Describe any pattern you see
in the graph.
165. (1 point) (−3, 4), (−2, 3), (−1, 2), (0, 1), (1, 0),
(2,−1)
Use the counting principle to find each
probability.
166. (1 point) A coin is tossed 5 times. Find P(all tails).
Copy and complete the statement using <, >, or
=.
167. (1 point) 6.7 kg ? 6700 g
26
ID: A
Unit III .......................................................Assessment Review ..................................................Part 2
Answer Section
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
B
x − 14
A
five to the sixth power; 5 ⋅ 5 ⋅ 5 ⋅ 5 ⋅ 5 ⋅ 5; 15,625
C
B
B
14
3 (1.50) + 5 (3.50) + 2 (2.25) + 1 (1.05) + 4(0.95)
; Each person will owe $6.27.
5
13x + 70; $1240
7.25x + 14.50; $43.50
10
4 + (−6) ; 4 + (−6) = − 2
D
B
17th floor
B
C
A
A
B
C
A
C
25.
Sample answer: More hours spent watching TV may reduce grades.
26. B
1
ID: A
27.
The more years the business operates, the more employees it has.
28. Answers may vary. Sample answer:
85 + 92 + 15 = 85 + (92 + 15)
Associative property of addition
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
= 85 + (15 + 92)
Commutative property of addition
= (85 + 15) + 92
Associative property of addition
=100 + 92
Substitution principle
= 192
Substitution principle
B
C
A
D
B
5x − 10
63 − 14x
D
D
D
3n + 7 = 16
C
C
D
D
C
− 18
8.88 cm
A
A
B
A
B
A
2
ID: A
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
65.
66.
67.
68.
69.
70.
71.
72.
73.
74.
75.
76.
77.
78.
79.
80.
81.
82.
83.
84.
85.
86.
87.
88.
89.
90.
91.
92.
93.
94.
x = 4; perimeter = 26
B
D
A
B
C
B
C
5 5
, , yes
9 9
D
D
B
D
A
C
C
A
D
C
A
B
D
C
C
A
B
Yes
B
A
D
B
LM
B
D
42 meters
B
A
A
B
C
3
5
C
3
ID: A
95.
96.
97.
98.
99.
100.
101.
102.
103.
104.
105.
106.
107.
108.
109.
110.
111.
112.
113.
114.
115.
116.
117.
118.
119.
120.
A
D
C
B
B
A
C
section B
C
30
140
60%
C
B
C
C
D
$2.80
C
C
C
B
B
$22.12
C
x
y
121.
122.
123.
124.
125.
126.
–1
2
0
1
1
0
A
C
x = 5 units, perimeter = 72 units
A
A
D
4
ID: A
127.
128.
129.
130.
131.
132.
133.
134.
135.
136.
137.
138.
139.
140.
141.
142.
143.
144.
145.
146.
147.
148.
149.
150.
151.
152.
153.
154.
C
9.36 cm2
D
A
D
B
C
C
C
C
D
B
about 70 girls
750
B
A
True
False
B
D
93%
D
D
D
5, 26, 131, 656, 3281, 16,406
B
A
geometric; 81, 243, 729
155. C
156. A
5
ID: A
157. a.
Figure (term number)
No. of squares (term)
1
1
2
3
3
5
4
7
5
9
6
11
7
13
8
15
b. Each figure has two more squares than the previous figure. The relationship between the term number and its
respective term is that each student must multiply each term number by 2 and then subtract 1 to get the term.
c. 21
158. a. See graph below.
b. 11
c. −12
d. −12: | − 12| = 12
159. B
160. A
161. B
x
162.
≥ −182; x ≥ −2548
14
163. D
164. D
165. Sample answer: The points fall from left to right and lie on a line.
1
32
167. =
166.
6