7th Grade Semester Review
1. This Venn diagram shows the relationship between Sets A and B.
Which of the following sets could be Sets A and B?
A
Set A: all positive integers
Set B: all counting numbers
B
Set A: all integers less than 1
Set B: all whole numbers
C
Set A: all rational numbers
Set B: all whole numbers
D
Set A: all integers less than 0
Set B: all counting numbers
2. A submarine is at 1,250.2 feet below sea level. What is the depth of the submarine after
rising 1,075.8 feet?
Record your answer on the griddable below. Be sure to use the correct place value.
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7th Grade Semester Review
3. From a plate of apple slices, Jody took
slices. Christine then took
of the slices. Then Kenny took
of the remaining
of the slices that were left. If there were 24 slices originally,
which of the following does NOT represent the number of apple slices that are left on the
plate?
1
2
1

24   (24)  (24  4)  (15) = 9
4
5
6

A
B
24 – (24 ÷ 6) – (20 ÷ 4) – (15(0.4)) = 9
C
D
24 – (24(0.6)) – (24(0.4)) – (24(0.4)) = 9
4. Simplify the above expression below.
A
3
20
B
3
10
C
3
5
D
6
5
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7th Grade Semester Review
5. A baby-sitter charges $3.00 for the first hour and $1.25 for each additional hour. How
much will she receive for 4
1
hours of baby-sitting? Round to the nearest cent.
2
Record your answer on the griddable below. Be sure to use the correct place value.
6. Each week, Phyllis earns $60 for three hours of work. Which graph expresses the
relationship between Phyllis' hours worked and her corresponding earnings?
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7th Grade Semester Review
7. At a book store, there are racks with different number of shelves to store books. The table
relates the number of shelves, s, in a rack to the number of books, b, it holds.
8.
Number of
Shelves
in the Rack
(s)
Number of
Books the
Rack Holds
(b)
3
60
5
100
6
120
8
160
Which of the following does NOT represent the constant rate of change represented in the
table?
A
Each shelf can hold 20 books.
Books on the Shelf
100
80
60
40
20
0
1
B
2
3
4
C
b = 20s
D
Each shelf can hold 60 books.
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7th Grade Semester Review
9.
The graph relates the distance, d, that a freight train travels from station A to station B
over time t.
Which equation describes the motion of the train?
A
B
C
D
d
d
d
d
=
=
=
=
25t
50t
t + 25
t − 175
10. A store sells 8-slice pizzas in different sizes. The price for 4 different sizes of pizza is shown
in the table below.
Which size of pizza has the lowest unit price?
A
of a pizza
B
of a pizza
C
of a pizza
D
2 pizzas
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7th Grade Semester Review
11. The graph below represents the cost of markers. Two of the points are shown on the
graph.
Cost in dollars
Cost of Markers
Number of Markers
What is the constant of proportionality, k, between the number of markers and the cost?
A
0.6
B
1.5
C
2
D
3
12.
Last year Alltime Books made a profit of $17,450. The manager would like to increase the
percent of profit for next year. Sales last year were $1,250,000. If sales are budgeted for
$1,400,000 next year, how much profit would they have to make for the percent of profit to be
higher than last year?
A
> $19,544
B
< $21,250
C
> $15,000
D
= $15,000
13.
The students in an art class are making flowers using ribbon. Each student will make one
flower and each flower requires 18 inches of ribbon. About how many meters of ribbon are needed
for 32 students? Note that 1 meter equals about 1.09 yards.
A
0.46 m
B
14.68 m
C
17.44 m
D
526.69 m
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7th Grade Semester Review
14.
A recipe for fruit punch is shown below.
Ingredient
Amount
Orange Juice
2 quarts
Pineapple Juice
Apple Juice
1
1
cup
2
1 quart
If the recipe makes punch for 20 people, how many pints of orange juice would be needed to
make enough fruit punch to serve 50 people?
1
pints
2
A
2
B
5 pints
C
10 pints
D
20 pints
15.
An electronics store is offering a discount of 10% on all items. Rebecca wants to purchase
a television priced at $460. The store will deduct the discount and then add a sales tax of 6% to
the discounted price. How much will Rebecca pay for the television? Write your answer in dollars
and cents.
Record your answer and fill in the bubbles on the griddable below. Be sure to use the correct place
value.
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7th Grade Semester Review
16.
Which statement does NOT prove that ΔWIN and ΔLOG are similar?
A
Corresponding angles are all congruent.
B
The sides of triangle WIN are twice as long as the sides of triangle LOG.
C
The sum of the angles in both triangles is 180°.
D
=
17.
A ride in a taxi cab costs $2.50 for the first
1
2
mile and $0.50 for every mile, m, after that.
Which equation can be used to find the cost, c, of a taxi cab ride?
A
B
C
D
c
c
c
c
=
=
=
=
0.50 + 2.50m
2 + 0.50m
2.50 + .50(m − .5)
3m
18.
The table below represents the amount of money Judy saves over several months.
Which equation best represents the linear relationships shown in the table below?
Number of Months (x)
3
Total Savings (y)
$316
A
y = 72x + 100
B
y = 105x + 1
C
y = 100x + 72
D
y = 106x − 2
6
$532
12
14
$964
$1,108
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7th Grade Semester Review
19.
A
Which of the following does not represent the same linear representation?
y=x+1
B
C
D
y=-x+1
20.
A sports club charges an annual membership fee plus a monthly fee for use of the
swimming pool. Robert does not wish to spend more than $400 a year at the sports club.
Which inequality could he use to find the number of months he can use the swimming pool
facilities?
A
10 + 350m ≤ 400
B
400m − 350 ≥ 10
C
350 + 10m ≤ 400
D
10m − 350 ≥ 400
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7th Grade Semester Review
21. Raul represented the solutions to an inequality on the number line below.
Which of the following inequalities could Raul have solved?
A
9  2 
y
6
B
9  2 
y
6
C
1
y  33
2
D
1
y  33
2
22.
Which problem situation does the following equation describe? x + 5 = 20
1
2
A
Fred dives 20 feet into the ocean. This is half as far as Mike dives. Fred stays
underwater for 5 minutes. How far down does Mike dive?
B
Half the students in Ms. Doss's class participate in sports, and 5 of the students
participate in student council. How many of the 20 students participate in activities?
C
Caroline is 5 years older than half of her sister's age. If Caroline just turned 20, how
old is her sister?
D
Pedro has 5 fewer stickers than half the total number of stickers Eduardo has. If
Eduardo has 20 stickers, how many does Pedro have?
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7th Grade Semester Review
23.
The model below represents the equation 3x - 5 = 19.
What is the value of x?
Record your answer on the griddable below. Be sure to use the correct place value.
24.
The model below represents the equation 2x + 7 = 13.
What is the value of x?
A
10
B
4
C
3
D
2
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7th Grade Semester Review
25.
Solve for the value(s) of a in the inequality below.
- 5 a + 4 < 41
A
a<-
37
5
B
a>-
37
5
C
a < -9
D
a > -9
26.
Mrs. Hopkins wrote the following inequality on her Promethean Board.
4
3
x  5
4
Which of the following values could NOT be the value of x?
A
11
B
12
C
13
D
14
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7th Grade Semester Review
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