CHESAPEAKE SCIENCE POINT
PUBLIC CHARTER SCHOOL
7321 Parkway Drive South, Hanover, MD 21076
Phone: (443) 7575-CSP
Fax: (443) 757-5280
Web: http://www.mycsp.org
Name of the student: _____________________
SUMMER ASSIGNMENT
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Find each value.
4. If the population of an ant hill doubles every 30
days and there are currently 10 ants living in the ant
hill, what will the ant hill population be in 60 days?
1.
a. 20 ants
a. 10
b. 100 ants
b. 91
c. 80 ants
c. 9
d. 40 ants
d. 0
2. Express each number by using an exponent and the
given base.
5, base 5
Find each product.
5.
a.
b.
c.
d.
a.
b.
c.
d.
7,000
280
700,000
70,000
a.
b.
c.
d.
700
7,000
70,000
210
6.
3.
Sunlight Intensity
Category
Brightness
Dim
2
Illuminated
3
Radiant
4
Dazzling
5
Suppose you have researched and developed a scale
that indicates the brightness, or intensity, of the
sunlight on any given day. Each category in the
table is 4 times brighter than the next lower
category. For example, a day that is dazzling is 4
times brighter than a day that is radiant. How many
times brighter is a dazzling day than a dim day?
a. 256 times brighter
b. 3 times brighter
c. 16 times brighter
d. 64 times brighter
7. Express the number 83,900,000 in scientific
notation.
a.
b. 0
c.
d. 8.39  107
8. A comet is about 4.4  105 miles from Earth. Write
this number in standard form.
a. 44,000 miles
b. 440,000 miles
c. 4,400,000 miles
d. 0
Evaluate each of the following.
9. 78 – 6  6  2 + 6
a. 27
b. 222
c. 73.5
d. 66
10.
a.
b.
c.
d.
3,200
80
12
56
a.
b.
c.
d.
3.24
9
3
6
11.
14. For summer yard work, Emily earns $20 per yard.
Emily worked on 8 yards each day on Friday and
Saturday and on 3 yards each day on Monday,
Tuesday, and Thursday. Evaluate the expression
to find out how much Emily
earned in all.
a. Emily earned $1,320.
b. Emily earned $25.
c. Emily earned $500.
d. Emily earned $1,140.
Write the prime factorization of each number.
15.
12. 55 – (1 + 14)  5
a.
b.
c.
d.
8
56.8
52
58
13. Pablo is earning money over the summer by
caring for cats while people are on vacation.
Pablo earns $30 per week per pet. The table
shows the number of cats cared for per week
during July. Evaluate the expression
to find out how much Pablo
earned for the month of July.
a.
The prime factorization of 40 is
b.
Pets Cared for in July
Week
Pets
Week 1
8
Week 2
3
Week 3
3
Week 4
3
The prime factorization of 40 is
c.
How much did Pablo earn during the month of
July?
a. Pablo earned $510 during July.
b. Pablo earned $990 during July.
c. Pablo earned $47 during July.
d. Pablo earned $278 during July.
The prime factorization of 40 is
d.
20. Find the least common multiple (LCM) of 6, 5, and
20.
a. The LCM is 120.
b. The LCM is 20.
c. The LCM is 30.
d. The LCM is 60.
The prime factorization of 40 is
16. 150
a.
b.
c.
d.
The prime factorization of 150 is
The prime factorization of 150 is
The prime factorization of 150 is
The prime factorization of 150 is
17. Find the greatest common factor (GCF) of 66, 44,
and 143.
a. The GCF is 6.
b. The GCF is 11.
c. The GCF is 4.
d. The GCF is 10.
18. The seventh-graders are preparing snack bags for
the First-Graders’ Picnic. They have 56 cookies and
70 carrot sticks. What is the greatest number of
snack bags they can prepare using all of the cookies
and carrot sticks?
a. They can prepare 56 snack bags.
b. They can prepare 7 snack bags.
c. They can prepare 70 snack bags.
d. They can prepare 14 snack bags.
19. Kate would like to plant a garden where each row
will have the same combination of plants. If Kate
has 80 tomato plants, 45 cucumber plants, and 55
basil plants, what is the greatest number of rows the
garden can have if he uses all of the plants?
a. The garden can have 16 rows.
b. The garden can have 5 rows.
c. The garden can have 4 rows.
d. The garden can have 9 rows.
21. Antonia visits the park every 6 days and goes to the
library every 8 days. If Antonia gets to do both of
these today, how many days will pass before
Antonia gets to do them both on the same day
again?
a. It will be 24 days.
b. It will be 14 days.
c. It will be 48 days.
d. It will be 2 days.
22. Elena cleans the hamster cage every 5 days, brushes
the dog every 9 days, and cleans the frog aquarium
every 6 days. If Elena does all three today, how
many days will pass before Elena takes care of all
three of these pets on the same day again?
a. It will be 9 days.
b. It will be 90 days.
c. It will be 54 days.
d. It will be 30 days.
Evaluate each expression for the given value of the
variable.
23. x + 16 for x = 23
a. 7
b. 368
c. 23x + 16
d. 39
24. 5z – 3 for z = 7
a. 7z – 3
b. 20
c. 32
d. 54
25. z  9 + z for z = 45
a. 81
b. 1
6
c. 50
d. 45z  9 + 45z
26.
a.
b. 36
c. 30
d. 42
b.
c. 300 – t
d.
27. Evaluate the following expression for the given
values of the variables.
30. The popcorn machine at the movie theater can
produce m bags of popcorn every 30 minutes. Write
an algebraic expression to show how many bags of
popcorn it can produce in 16 hours.
a.
for x = and y = 7
a. 37
b. 37
c. 59
d.
b. 32m
c.
28. Write this phrase as an algebraic expression.
d. 16m
13 more than a number
a. 13 + t
b.
c. t – 13t
d.
29. Ramon paints t planks each day of a fence which
has a total of 300 planks. Write an algebraic
expression for how many days it will take Ramon
to finish painting the fence.
a. 300t
31. Rosa earns $90 delivering flowers, but he then
spends m dollars at the bookstore. Write an
algebraic expression to find how much money Rosa
has left.
a. 90 – m
b. m – 90
c.
d.
32. Identify like terms in the list:
a.
b. 4t and 4z
c.
d.
33. Combine like terms.
a.
b.
c.
d.
x
x
34. Write an expression for the perimeter of the triangle
shown. Combine like terms in the expression.
x
a. 3x
b.
c. x + 3
d. x + x + x
38. Write an expression for the perimeter of the
pentagon shown. Combine like terms in the
expression.
35. Write an expression for the perimeter of the square
shown. Combine like terms in the expression.
q
q
m
q
m
q
m
m
a. 4m
b.
c. m + 4
d. m + m + m + m
36. Write an expression for the perimeter of the
parallelogram shown. Combine like terms in the
expression.
q
a. 5q
b.
c. q + 5
d. q + q + q + q + q
39. Write an expression for the perimeter of the
hexagon shown. Combine like terms in the
expression.
t
t
t
t
t
p
m
m
p
a. 2m + 2p
b.
c. (m + 2) + (p + 2)
d. m + p + m + p
37. Write an expression for the perimeter of the kite
shown. Combine like terms in the expression.
t
a. 6t
b.
c. t + 6
d. t + t + t + t + t + t
40. Which of the following is a solution of 20 = k + 7?
13
a.
b.
c.
d.
a. 2a + 2b
b.
c. (a + 2) + (a + 2)
d. a + a + b + b
27
23
14
23
13
27
14
41. Li-ming has 92 stamps in a stamp collection. This
is 2 more than Matt has. The equation 92 = p + 2
can be used to represent the number of stamps Matt
has. Does Matt have 94 stamps, 100 stamps, 91
stamps, or 90 stamps?
a. 90
b. 94
c. 91
d. 100
42. Li-ming has 3 fewer pennies saved than Matt has. If
Li-ming has 36 pennies, then the equation
36 = p – 3 can be used to represent the number of
pennies Matt has. Does Matt have 40 pennies, 39
pennies, 33 pennies, or 49 pennies?
a. 33
b. 40
c. 49
d. 39
43. Thomas wants to display leaf specimens for a
science fair. Thomas has 26 leaves, which is 26
fewer than the total needed. Will the science
display have 53 leaves, 52 leaves, 0 leaves, or 62
total leaves?
a. 52
b. 62
c. 0
d. 53
44. Mike wants to grow a certain number of sunflower
plants this year. Mike has 44 seeds, which is 26
more than the number needed. Does Mike want to
grow 28 sunflowers, 19 sunflowers, 18 sunflowers,
or 70 sunflowers this year?
a. 70
b. 28
c. 18
d. 19
Solve each equation. Check your answer.
45. s – 2 = 67
a. s = 65
b. s = 79
c. s = 69
d. s = 68
48. 56 = 4m
a. 15 = m
b. 60 = m
c. 52 = m
d. 14 = m
49. Your score at miniature golf this weekend is 35.
This is 1 less than the previous time you played.
What was your score the previous time you played
miniature golf?
a. 34
b. 46
c. 35
d. 36
50. Your basketball team scored 8 points in the first
quarter. The team’s final score was 90 points. How
many points did your team score in the rest of the
game?
a. Your team scored 98 points in the rest of the
game.
b. Your team scored 82 points in the rest of the
game.
c. Your team scored 92 points in the rest of the
game.
d. Your team scored 81 points in the rest of the
game.
51. Riding your bike is good exercise. If your goal is to
ride your bike a total of 72 laps around the block
over the next 6 days, how many laps must you ride
each day?
a. You must ride 12 laps each day.
b. You must ride 66 laps each day.
c. You must ride 13 laps each day.
d. You must ride 78 laps each day.
46. n + 13 = 87
a. n = 73
b. n = 64
c. n = 100
d. n = 74
52. If your art class needs 150 charcoal pencils and the
pencils come 15 per package, how many packages
of charcoal pencils will your art class need?
a. Your class needs 165 packages.
b. Your class needs 10 packages.
c. Your class needs 11 packages.
d. Your class needs 135 packages.
47.
53. Graph –1 and its opposite on a number line.
a.
a.
b.
c.
d.
q = 17
q = 29
q = 138
5
q = 36
–10 –8
–6
–4
–2
0
2
4
6
8
10
–10 –8
–6
–4
–2
0
2
4
6
8
10
b.
c.
–10 –8
–6
–4
–2
0
2
4
6
8
10
–10 –8
–6
–4
–2
0
2
4
6
8
10
d.
b. Quadrant III
c. Quadrant I
d. Quadrant II
57. Identify the quadrant that contains the point (0, –1).
y
10
54. Write the integers 1, –7, 9, –5, 6, and 4 in order
from least to greatest, and then plot each of them on
a number line.
a. 9, 6, 4, 1, –5, –7
–10 –8
–6
–4
–2
0
2
4
6
8
10
–10
b. –7, –5, 1, 4, 6, 9
–10 –8
–6
–4
–2
0
2
4
6
8
10
10
c. –7, –5, 1, 4, 6, 9
–10 –8
–6
–4
–10
–2
0
2
4
6
8
10
0
2
4
6
8
10
d. 1, –7, 9, –5, 6, 4
–10 –8
–6
–4
–2
Use a number line to find each absolute value.
a.
b.
c.
d.
Between Quadrants I and IV
Between Quadrants I and II
Between Quadrants II and III
Between Quadrants III and IV
58. Plot the point (7, 0) on a coordinate plane.
y
a.
10
55. |–6|
a. 6
b. –6
c. 0
d. 36
x
–10
56. Identify the quadrant that contains the point (1, –6).
y
–10
10
y
b.
–10
10
10
x
x
–10
–10
–10
a. Quadrant IV
x
y
c.
10
61. Evaluate
–36,
a.
b.
c.
d.
x
–10
y
10
x
–10
–10
59. Give the coordinates of the following point.
y
10
–10
4
–4
76
–76
62. The income from the Spanish Club’s bake sale was
$265. Expenses for the sale totaled $20. Using
integer addition, find the total profit or loss from
the bake sale.
a. The club made a profit of $285.
b. The club had a loss of $20.
c. The club made a profit of $265.
d. The club made a profit of $245.
–10
d.
63. Carmen baby-sat six weekends in a row to earn
$130. She owed her mother $45 for a new outfit she
had bought. Using integer addition, find either the
total amount Carmen had left after repaying her
mother or the amount she still owed her.
a. $85 left over
b. $130 left over
c. $45 still owed
d. $175 left over
64. Subtract.
46 22
10
x
a.
b.
c.
d.
–68
–24
24
68
65. Evaluate
–30,
–10
a.
b.
c.
d.
(–6, –6)
(0, 6)
(–6, 0)
(0, –6)
60. Add.
–11 + (–40)
a.
b.
c.
d.
–29
29
51
–51
for the given values.
40
a.
b.
c.
d.
for the given values.
9
21
–21
39
–39
66. The highest temperature recorded in the town of
Westgate this summer was 99°F. Last winter, the
lowest temperature recorded was –14°F. Find the
difference between these extremes.
a. –113°F
b. –85°F
c. 113°F
d. 85°F
67. The temperature on the ground during a plane’s
takeoff was 10°F. At 38,000 feet in the air, the
temperature outside the plane was –20°F. Find the
difference between these two temperatures.
a. 10°F
b. –10°F
c. –30°F
d. 30°F
a.
b.
c.
d.
–14
–49
14
49
69. Find the quotient.
–114 (–3)
a. –117
b. 38
68. Multiply.
c. –111
–7 • (–7)
d. –38
70. Isabelle recorded the number of videos rented and returned at MovieLovers, Inc., each hour while working on a
Friday night. The table below shows the overall change in the number of videos at the store. What was the average
change per hour?
Hour
Change in Number of Videos
a. 20
b. 10
Solve.
1
13
2
–4
= 16
a.
b.
c.
d.
4
7
c. 5
d. –5
71. j – (–14) = –20
a. –34
b. 34
c. 6
d. –6
72.
3
4
160
6
26
–160
73. –28 2r
a. –26
b. –30
c. –14
d. 14
74. This year, a construction company had expenses of
$900 million, which was $50 million more than the
expenses from last year. How much were last year’s
expenses?
a. $900 million
b. $850 million
c. $50 million
d. $950 million
75. A restaurant earned a profit of $175,000 in its first
year of operation. After taxes were paid, $122,499
was left. How much money did the restaurant pay
in taxes?
a. $297,499
b. $52,511
c. $52,501
d. $122,499
Graph each number on a number line.
1
76. 1 4
a.
–5
–4
–3
–2
–1
0
1
2
3
4
5
–5
–4
–3
–2
–1
0
1
2
3
4
5
–5
–4
–3
–2
–1
0
1
2
3
4
5
–5
–4
–3
–2
–1
0
1
2
3
4
5
–5
–4
–3
–2
–1
0
1
2
3
4
5
b.
c.
d.
77. 1.25
a.
b.
–5
–4
–3
–2
–1
0
1
2
3
4
5
–5
–4
–3
–2
–1
0
1
2
3
4
5
–5
–4
–3
–2
–1
0
1
2
3
4
5
c.
80. Use a decimal to estimate how much more or less
rain (in inches) fell in Perrysburg.
a.  5
2
b. –2.50
c. 2.50
d. 1.50
d.
78. Show that 1.75 is a rational number by writing it as
a fraction in simplest form.
a.
b.
81. Use a fraction and a decimal to estimate the greatest
value and the least value represented on the graph.
a. The greatest value is about 3 , or 3.00.
1
The least value is about  1 , or –3.00.
3
b. The greatest value is about
7
4
4
1
, or 4.00.
The least value is about  , or –3.00.
3
1
c.
c. The greatest value is about
d.  7
4
4
1
, or 4.00.
The least value is about  , or –2.00.
2
1
The total amount of rainfall recorded one year in
Allentown was 29 inches. The following graph
shows how much more or less rain (in inches) was
recorded for the year in other cities.
d. The greatest value is about  3 , or –3.00.
1
4
The least value is about 1 , or 4.00.
Find a fraction equivalent to the given fraction.
6
5
82.
D
4
a.
Rainfall (in.)
3
B
2
1
b.
H
A
c.
P
d.
–1
–2
83.
–3
–4
–5
–6
a.
A = Anderson B = Brownsburg
D = Davenport H = Hillsdale
b.
P = Perrysburg
c.
d.
79. Use a fraction to estimate how much more or less
rain (in inches) fell in Anderson.
a. 3
Tell whether the two given fractions are equivalent.
1
b.  3
1
c.
2
1
84.
a. The fractions are not equivalent.
b. The fractions are equivalent.
d. –3.00
85.
a. The fractions are not equivalent.
b. The fractions are equivalent.
c. 2 3
5
91. A high school basketball team attempted 566
three-point shots last season. They made 141 of
those shots. Using a decimal rounded to the nearest
thousandth, show the team’s success rate for
three-point shots.
a. 2.490
b. 0.425
c. 0.249
d. 4.014
d. 1 3
5
92. Compare the fractions. Write < or >.
86. Write
a. 2 2
as a mixed number in simplest form.
5
b. 1 4
5
4
87. Write 5 9 as an improper fraction.
a. 40
9
b.
49
9
c.
2
1
d.
50
9
88. Write the fraction
as a decimal. Round to the
nearest hundredth if necessary.
a. 30.12
b. 0.4
c. 2.7
d. 2.5
89. Write the decimal –10.82 as a mixed number in
simplest form.
a.
b. 10 41
50
c.
d. 10 41
50
90. During a review game, Mr. Pai’s class correctly
answered 65 questions on the first try. If there were
70 questions in the game, at what rate were
questions answered correctly on the first try? Write
your answer as a decimal rounded to the nearest
hundredth.
a. 0.071
b. 0.929
c. 0.093
d. 1.077
a. >
b. <
93. Which decimal is less than 0.69?
a. 0.679
b. 0.7
c. 0.791
d. 0.6911
94. Order the numbers from least to greatest.
–0.447, –0.53,
a.
1
2
1
2
, –0.447, –0.53
b. –0.53, –0.447,
c. –0.447, –0.53,
d. –0.53,
1
2
1
2
1
2
, –0.447
95. Use a calculator to determine whether the decimal
form of the rational number
terminates or
repeats.
a. Terminates
b. Repeats
96. Use a calculator to determine whether
rational or irrational.
a. Irrational
b. Rational
is
97. Jon’s summer baseball league has 48
thirteen-year-olds and 52 fourteen-year-olds. Write
the ratio of thirteen-year-olds to fourteen-year-olds
in three different ways.
a. 13 , 13 to 25, 13:25
25
b. 12 , 12 to 25, 12:25
25
c.
13
12
, 13 to 12, 13:12
d.
12
13
, 12 to 13, 12:13
98. In the last three years, Frederico’s basketball team
won 30 more games than they lost. If they won 140
games, what was their ratio of wins to losses? Show
the ratio in three different ways.
a. 14 , 14 to 11, 14:11
11
b.
3
14
, 3 to 14, 3:14
c.
14
17
, 14 to 17, 14:17
d.
14
3
, 14 to 3, 14:3
99. Find the unit rate if Ramon drives his car 180 miles
in 3 hours. Show the answer in fraction and word
form.
a.
Ramon drives 60 miles per hour.
b.
Ramon drives 1 mile per 60 hours.
c.
Ramon drives 50 miles per hour.
d.
Ramon drives 180 miles per 3 hours.
100. Find the unit rate if 6 chocolate chip cookies have
426 calories. Show the answer in fraction and word
form.
a.
There are 71 calories per cookie.
b.
There is 1 calorie per 71 cookies.
c.
d.
There are 27 atoms per 9
molecules.
102. Tiffany paid 26 cents for 2 ounces of mixed candy.
Tony told Tiffany that he could go to a different
store and get a better deal. At the other store, Tony
paid 52 cents for 12 ounces of the same candy. Did
he make the better buy?
a. yes
b. no
103. Larry took 17 minutes to do 10 math problems.
Mary took 16 minutes to do 9 math problems.
Which student did more problems per minute?
a. Larry
b. Mary
104. Determine whether the ratios
proportional.
a. no
b. yes
105. Determine whether the ratios
proportional.
a. no
b. yes
are
and
are
106. Find a ratio equivalent to . Then use the ratios to
write a proportion.
a.
b.
There are 61 calories per cookie.
d.
There are 426 calories per 6
c.
cookies.
101. Find the unit rate if 9 water molecules contain 27
atoms. Show the answer in fraction and word form.
a.
b.
c.
d.
There are 3 atoms per molecule.
There is 1 atom per 3 molecules.
There are 4 atoms per molecule.
107. Use cross products to solve the proportion
a. 5.16
b. 9.5
c. 266
d. 4
.
108. The Anderson family is making preparations for a
party. They figure that they will need 12 cans of
soft drinks for every 6 people who attend. How
many cans will they need if they are expecting 18
people?
a. 216
b. 12
c. 72
d. 36
114. Maria has been sick in bed for 1 weeks. How many
minutes has this been?
a. 10,080 minutes
b. 168 minutes
c. 420 minutes
d. 1,440 minutes
115. Are triangles ABC and XYZ similar?
A
109. At Country Landscape, Mr. McDonald can buy 15
three-pound-bags of mulch for $60. How many
bags can he buy for $400?
a. 6000
b. 1600
c. 180
d. 100
110. Raquel uses 8 oranges to make 1 cup of orange
juice. How many oranges would she use to make 1
quart?
a. 2 oranges
b. 36 oranges
c. 32 oranges
d. 64 oranges
15
9
C
12
111. Convert 190 miles per hour to feet per hour. Round
your answer to the nearest hundredth, if necessary.
a. 1,003,200 feet per hour
b. 100,320 feet per hour
c. 0.36 feet per hour
d. 0.04 feet per hour
112. Pam pays $8.00 for 1 yard of fabric. How much
would the fabric cost per inch? Round your answer
to the nearest cent, if necessary.
a. $0.22 per inch
b. $0.67 per inch
c. $288.00 per inch
d. $0.44 per inch
113. One day, Victor was riding in the car with his dad
and saw a sign that read “500 km to Indianapolis”.
About how many hours did it take to get to
Indianapolis if the car was traveling at 60 mi/h? (1
mile 1.61 km.) Round your answer to the nearest
tenth.
a. 5.2 hours
b. 13.4 hours
c. 0.5 hours
d. 134.2 hours
B
X
10
Z
6
8
Y
a. yes
b. no
116. Is parallelogram ABCD similar to parallelogram
WXYZ? (Opposite sides are equal and all
corresponding angles are congruent.)
A
10
B
5
D
C
W
A
12
D
6
18
X
Y
a. no
b. yes
117. Is trapezoid ABCD similar to trapezoid WXYZ?
B
12
W
3
Z
15
9
6
Z
C
X
6
10
Y
a. yes
b. no
118. Triangle ABC is similar to triangle XYZ. Find the
length of XY. Round to the nearest hundredth if
necessary.
A
8
6
30
Jane
base = x
C
B
X
4
Z
a.
b.
c.
d.
x
Spot
4
Y
3
12
2
5.33
119. The front of Jane’s house is similar in shape to the
front of Spot’s doghouse. If the base of the
doghouse measures 4 feet and the height of its side
measures 5 feet, what is the length of the base of
Jane’s house, in feet, if the height of its side is 30
feet? (Round to the nearest tenth if necessary.)
5
a.
b.
c.
d.
29 ft
20 ft
37.5 ft
24 ft
120. Two parallelograms are similar. The base of the
first is 8 cm, and its height is 4 cm. Find the base of
the second parallelogram if its height is 18 cm.
a. 1.8 cm
b. 9 cm
c. 22 cm
d. 36 cm
121. In Juan’s backyard, there are two trees, a maple tree
and a pine tree. Juan knows the height of the pine
tree is 5.25 feet. On a sunny day, he uses the
shadows of the two trees to set up similar triangles.
The shadow of the pine is 3.5 feet long while the
maple’s shadow is 16 feet long. Find the height of
the maple tree to the nearest tenth of a foot.
a. 24 feet
b. 10.7 feet
c. 25 feet
d. 1.1 feet
122. In order to determine the height of the flagpole in
the school yard, Cindy is going to use similar
triangles. The length of Cindy’s shadow is 3.25
feet. Measuring the length of the shadow of the
pole at the same time, she finds it to be 11 feet.
Using this information and the fact that Cindy’s
height is 5.5 feet, give the height of the pole to the
nearest hundredth of a foot.
a. 18.87 feet
b. 6.5 feet
c. 18.62 feet
d. 18.37 feet
123. Identify the scale factor if the length of a model
train engine is 21 inches and the length of the
engine itself is 24 feet.
a. 7
4
b.
7
96
c. 288 to 1
d. 7
126. Lisa and Susan are each driving to college for the
first time. They look at a map to find out how far
they have to drive. On the map, Lisa measures the
distance to be 3.5 inches. How many miles do they
have to drive if the map scale is 1 in. = 60 mi?
a. 210 miles
b. 20 miles
c. 1 mile
20
d. 420 miles
127. A souvenir model of a Gothic cathedral is 16 inches
tall. If the scale is 2 inches = 30 feet, how tall is the
cathedral?
a. 240 feet
b. 46 feet
c. 480 feet
d. 2880 feet
128. Write 16% as a fraction in simplest form.
a. 25
4
b. 0.16
c. 4
8
124. In an FBI investigation, Detective Tracy discovered
a photograph that pictured his number one suspect
at the scene of the crime. To get a better look, he
needed to enlarge the picture by a scale factor of
. If the rectangular photo measured 4.5 inches by
3.5 inches, what would be the dimensions of the
enlargement?
a. 45 inches by 17.5 inches
b. 45 inches by 35 inches
c. 22.5 inches by 35 inches
d. 14.5 inches by 13.5 inches
125. Alex’s mother took a picture of him receiving his
diploma at graduation. She is very proud of Alex’s
accomplishment and wants to have the photo
enlarged so she can hang it on the wall of her
office. If the photo has dimensions 3.5 inches by 7
8
inches and the scale factor is 5 , what will be the
dimensions of the enlargement?
a. 11.2 inches by 22.4 inches
b. 11.2 inches by 11.2 inches
c. 5.6 inches by 11.2 inches
d. 5.6 inches by 22.4 inches
25
d.
1
4
25
129. Write 87% as a decimal.
a. 0.87
b. 1.15
c. 8.7
d. 87
100
130. Use 1% or 10% to estimate 19% of the number 219.
a. 63.8
b. 43.7
c. 4.4
d. 44
131. Find 190% of the number 185.
a. 351.5%
b. 35,150
c. 97.37
d. 351.5
132. The state of Alaska is the largest state in the United
States and has a surface area of approximately
588,000 square miles. The state of Arizona has a
surface area that is approximately 19.4% of the
surface area of Alaska. What is the approximate
surface area of the state of Arizona?
a.
b.
c.
d.
114,000 square miles
114 square miles
11,400,000 square miles
3,033 square miles
133. The table shows the number of states in the United States that begin with particular letters.
First Letter in
State Name
F
K
C
A
M
Number of States
Beginning with Letter
1
2
3
4
8
Of the 50 states in the United States, how many state names begin with the letter K?
a. 16%
c. 16%
b. 4%
d. 25%
Matching
134.
135.
136.
140.
141.
142.
Match each of the following vocabulary words with its definition.
a. base
e. prime factorization
b. greatest common factor (GCF)
f. scientific notation
c. multiple
g. power
d. order of operations
h. exponent
the product of any number and a whole number
137. when a number is raised to a power, the number
a method of writing very large or very small
that is used as a factor
numbers by using powers of 10
138. the greatest number that is a factor for two or more
A rule for evaluating expressions: first perform the
given numbers
items in parentheses, then compute powers and
139. a number written as the product of its prime factors
roots, then perform all multiplication and division
from left to right, and then perform all addition and
subtraction from left to right.
Match each of the following vocabulary words with its definition.
a. Addition Property of Equality
e. term
b. evaluate
f. variable
c. isolate the variable
g. standard form
d. Multiplication Property of Equality
h. scientific notation
the property that states that if you multiply both
143. to find the value of a numerical or algebraic
sides of an equation by the same number, the new
expression
equation will have the same solution
144. to get a variable alone on one side of an equation or
the parts of an expression that are added or
inequality in order to solve the equation or
subtracted
inequality
a symbol used to represent a quantity that can
change
145. the property that states that if you add the same
equation will have the same solution
number to both sides of an equation, the new
Match each of the following vocabulary words with its definition.
a. algebraic expression
e. Subtraction Property of Equality
b. coefficient
f. verbal expression
c. equation
g. expression
d. solution
h. composite number
146. the number that is multiplied by the variable in an
150. the property that states that if you subtract the same
algebraic expression
number from both sides of an equation, the new
147. a word or phrase
equation will have the same solution
148. a value or values that make an equation true
151. a mathematical sentence that shows that two
expressions are equivalent
149. an expression that contains at least one variable
Match each of the following vocabulary words with its definition.
a. composite number
e. prime number
b. exponent
f. standard form
c. least common multiple (LCM)
g. prime factorization
d. numerical expression
h. greatest common factor (GCF)
152. a number greater than 1 that has more than two
155. a whole number greater than 1 that has exactly two
whole-number factors
factors, itself and 1
153. a number written using digits
154. in a power, the number that indicates how many
times the base is used as a factor
156. an expression that contains only numbers and
operations
157. the least number, other than zero, that is a multiple
of two or more given numbers
Match each of the following vocabulary words with its definition.
a. constant
e. solve
b. Division Property of Equality
f. power
c. inverse operations
g. multiple
d. like terms
h. least common multiple (LCM)
158. a value that does not change
161. operations that undo each other—addition and
subtraction, or multiplication and division
159. two or more terms that have the same variable
raised to the same power
162. the property that states that if you divide both sides
of an equation by the same nonzero number, the
160. to find an answer or a solution
new equation will have the same solution
163. a number produced by raising a base to an exponent
Match each of the following vocabulary words with its definition.
a. opposite
e. mixed number
b. ordered pair
f. integer
c. x-axis
g. absolute value
d. repeating decimal
164. the horizontal axis on a coordinate plane
167. a decimal in which one or more digits repeat
165. a pair of numbers that can be used to locate a point
infinitely
on a coordinate plane
168. a number made up of a whole number that is not
166. a number that is the same distance from 0 on a
zero and a fraction
number line as a given number; also called additive
inverse
Match each of the following vocabulary words with its definition.
a. absolute value
f. quadrants
b. coordinate plane
g. y-axis
c. integers
h. variable
d. ordered pair
i. x-axis
e. origin
169. the point where the x-axis and y-axis intersect on
173. a plane formed by the intersection of a horizontal
the coordinate plane; (0, 0)
number line called the x-axis and a vertical number
170. the distance of a number from zero on a number
line called the y-axis
line; shown by | |
174. the x- and y-axes divide the coordinate plane into
171. the set of whole numbers and their opposites
four of these regions
172. the vertical axis on a coordinate plane
Match each of the following vocabulary words with its definition.
a. equivalent fractions
e. terminating decimal
b. improper fraction
f. mixed number
c. nonterminating decimal
g. repeating decimal
d. rational number
175. fractions that name the same value
178. a fraction in which the numerator is greater than or
equal to the denominator
176. a decimal number that comes to an end
179. any number that can be expressed as a ratio of two
177. a decimal that never comes to an end
integers
Match each of the following vocabulary words with its definition.
a. corresponding angles
e. similar
b. complementary angles
f. reciprocal
c. scale
g. indirect measurement
d. scale factor
180. the ratio between two sets of measurements
183. the ratio used to enlarge or reduce similar figures
181. These types of figures have the same shape but not
184. the technique of using similar figures and
necessarily the same size.
proportions to find a measure
182. matching angles of two or more polygons
Match each of the following vocabulary words with its definition.
a. adjacent sides
e. exact drawing
b. corresponding sides
f. scale drawing
c. scale model
g. proportion
d. ratio
185. matching sides of two or more polygons
187. a sketch that uses a ratio to make an object smaller
than or larger than the real object
186. a proportional example of a three-dimensional
object
188. an equation that states that two ratios are equivalent
189. a comparison of two quantities by division
Match each of the following vocabulary words with its definition.
a. cross product
e. ratio
b. equivalent ratios
f. unit rate
c. greatest common factor
g. rate
d. unit conversion factor
190. a fraction in which the numerator and denominator
represent the same amount but are in different units
193. a rate in which the second quantity in the
comparison is one unit
191. ratios that name the same comparison
194. the result of multiplying the numerator of one ratio
in a proportion by the denominator of the other
ratio
192. a ratio that compares two quantities measured in
different units
Match each of the following vocabulary words with its definition.
a. interest
f. principal
b. percent
g. simple interest
c. percent of change
h. rate
d. percent of decrease
i. ratio
e. percent of increase
195. a fixed percent of the principal found by using the
198. a percent change describing an increase in a
formula I = Prt, where P represents the principal, r
quantity
the rate of interest, and t the time
199. a percent change describing a decrease in a quantity
196. the amount of money charged for borrowing or
using money, or the amount of money earned by
200. a ratio comparing a number to 100
saving money
201. the initial amount of money borrowed or saved
197. the amount that a number increases or decreases
stated as a percent
Short Answer
202. After planting a seed, you notice that it produces 2
203. In Manuel’s science report, he says that a star is
leaves in 10 days. If it doubles the number of leaves
miles from Venus. Show how to write
it has every 10 days, how many leaves will the
this number in standard form.
plant have in 60 days?
204. One way to factor the number 270 is 1  270. This number can be factored several other ways.
Factor 270 the following ways:
a.
Use a factor tree to show the prime factorization of 270.
b.
Show a factorization of 270 that is not prime.
205. There are two ways to find the greatest common factor (GCF) of 32 and 40. Find the GCF of 32 and 40 by using
both of the following methods.
a.
Find the GCF by using a list of all factors for each number.
b.
Find the GCF by using the prime factorization of each number.
206. Antonia gets to rent a movie every 10 days. Her
family takes a long bike ride every 8 days. If
Antonia gets to do both activities today, how many
more days will it be before she gets to rent a movie
and go for a long bike ride on the same day again?
Find the LCM of the two numbers to solve this
problem.
207. There are 8 ounces in 1 cup. If you need 3 cups of
raisins for a snack mix and the raisins come in
6-ounce boxes, use the expression
for x = 3 to
find how many boxes of raisins you will need.
208. The daytime thermometer reading of 72°F is 13°F
lower than the daytime temperature required for the
opening of Samantha’s neighborhood outdoor pool.
Does the pool open when the temperature is 59°F
or 85°F? Use substitution of both numbers in an
equation to prove the answer.
209. Roberto is traveling to a museum in Chicago with
his family. They are going to see Sue, the most
complete skeleton of Tyrannosaurus rex ever
found. The trip will be 332 miles in one direction.
They have traveled 150 miles so far. How much
farther does Roberto’s family have to travel to see
Sue? Use an equation to solve and check your
answer.
210. Osami is inviting her friends to the roller-skating rink for her birthday party.
a.
If the skating rink charges $6 per person and the birthday party will cost $72, how
many skaters will be at Osami’s party? Use an equation to solve and check your
answer.
b.
What will be the new cost of the birthday party if each skater receives $2 spending
money? Check your answer.
211. At three consecutive baseball games, a team official recorded the following attendance data:
Actual Attendance
Game 1
Game 2
Game 3
16,795
42,785
25,560
Difference from Average
Attendance
–16,450
+9,540
–7,685
For which game is the absolute value of the difference from actual attendance the least? Explain.
212. Ramón borrowed $88 dollars from his sister Lydia
to buy a new bike. So far he has paid her $18, $34,
and $25. How much does he still owe her?
215. To make her favorite chocolate cake, Mrs. Green
uses cup of sugar. If she makes 6 of these cakes
to give to the neighbors as holiday gifts, she needs
cups of sugar. Express this fraction as a mixed
number in simplest form.
216. Benjamin has read 5 out of the 12 books he is
required to read for his literature class. What
portion of the books has he read? Write your
answer as a decimal rounded to the nearest
hundredth.
213. This morning at 8:00, the temperature was –7°F.
Yesterday morning, the temperature was 6°F
colder. What was yesterday’s temperature?
214. Allie owes her parents $43. Last month, she owed
them 3 times as much. Use negative integers to
show how much Allie owed her parents last month.
217. When playing the card game Hearts, the person with the lowest score wins. If Henry scores 25, Thomas scores
–21, Katie scores –12, and Sara scores 33, answer the following questions.
a. Who wins the game?
b. What was the difference between the highest and the lowest score?
218. On Thursday, Mrs. Yakichi sold 10 shares of stock for a total of $250. By Friday, the price of the stock had jumped
to $31 per share.
a.
When Mrs. Yakichi sold her stock, what was the price per share?
b.
How much would she have received if she had sold 10 shares on Friday instead of
Thursday?
219. Consider the numbers 5 , 5.2, 5.02, 5 , and 5.333.
a. Order the numbers from least to greatest.
b. Write each of the fractions as a decimal, and each of the decimals as a fraction in
simplest form.
220. While training for the Tour de France, Jean-Luc
rode 72 km on his bike in just 4 hours. Find the unit
rate.
223. Identify the corresponding sides of the following
two triangles. Then use ratios to determine whether
the triangles are
J
221. To feed her family of 8, Abby spends $184 per
week at the grocery store. Danielle’s spending for
her family of 5 is proportional to Abby’s. How
much does Danielle spend a week?
24
15
L
20
K
similar.
P
222. The school cafeteria uses an average of 328 half
pints of milk per day. How many gallons of milk do
they use?
8
R
5
6
Q
224. The following two parallelograms are similar. Use
proportions and cross products to find the missing
dimension.
13
6.5
225. A model rocket is 16 inches long. The original
rocket is 40 feet long. What is the scale factor?
x
4
226. Greg bought 5 new sweatshirts at one store for a total of $63. His younger brother Zachary bought 4 sweatshirts at
a different store and paid $54.
a.
Explain the meaning of unit rate, and give the unit rate for each boy.
b.
Who got the better deal?
227. Two classmates are preparing research papers and are organizing their information on index cards. Keiko is using
3-by-5 inch cards, and William is using 4-by-6 inch cards.
a.
Are the students using index cards that are similar?
b.
A third student, Joel, is writing his information on paper that measures 12 inches by 8
inches. Is this similar to either Keiko’s or William’s cards?
228. Mr. Perez will be driving south to a conference. On the map, the distance he must drive is 11 cm. When he refers
to the legend, he sees that 2 cm = 40 km.
a.
How far will Mr. Perez be driving to the conference?
b.
After the conference, if he decides to drive 90 km farther south to visit an old friend,
how many centimeters will he be from home on the map?
Essay
229. Discuss the order of operations to explain why the expressions
same value.
and
do not have the
230. Elena has m state quarters in her collection, and her brother Emilio has m + 6 state quarters in his collection.
Discuss three different ways of stating in words the number of quarters Emilio has.
231. Describe the steps for simplifying the expression
include the meaning of like terms in your explanation.
. Be specific and be sure to
232. Graph and label the ordered pairs (2, 3), (–2, 3), (–2, –3), and (2, –3) on a coordinate plane. Explain in words how
each of these points is plotted—that is, how many units you must move up, down, right, or left.
233. Explain the process of comparing two fractions. Use
and
as an example.
234. What is a rational number? Is each of the following numbers rational or irrational? Explain why.
, , 0,
, ,
,
235. Explain how you could use your own height and the lengths of shadows to figure out the height of a tall building
without measuring it.
236. What does it mean if two figures are similar?
237. Explain how to use cross products to determine whether the ratios 27:36 and 12:16 are equal.
238. Assume you know that a hot-air balloon is currently inflated with a certain amount of air and that the amount is a
percent of the total amount required to inflate the balloon. Explain how you would determine the total amount of
air required to inflate the balloon.
239. Suppose you had money in savings accounts at two different banks. If the amount of money in the first account is
greater than the amount of money in the second account, can you assume that the first bank pays a higher interest
rate? If not, what information would you need to determine which bank pays the higher interest rate?
240. If a tree grows during the course of a year, is its percent change an increase or a decrease? Explain how you would
determine the percent change