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7th grade Math final exam review

Total questions: 65

Worksheet time: 2hrs 1mins

Name
Class
Date
1.

Nate has 4 1/3 yards of fabric. He uses 2.5 yards of fabric to make a pillow. How much fabric does he have left?

a)

1 5/6

b)

6 5/6

c)

10 5/6

d)

1 11/15

2.

Olivia orders 6 ham sandwiches at the deli. The total amount was $30.72. How much did each sandwich cost?

a)

$5.00

b)

$5.12

c)

$24.72

d)

$24.90

3.

Mrs. Cheng has $22 deducted monthly from her checking account for her gym membership. What integer represents the change in her account for a year of gym membership?

a)

264

b)

22

c)

-22

d)

-264

4.

On a map, 2 inches represent an actual distance of 28 miles. If the actual distance between two cities is 322 miles, how many inches apart will the two cities be on the map?

a)

2 inches

b)

23 inches

c)

28 inches

d)

644 inches

5.

Tyler earned $76 for babysitting 8 hours. If Tyler is paid the same rate, how much will he earn for babysitting 12 hours?

a)

$9.50

b)

$76

c)

$114

d)

$608

6.

Charlene bought her friends lunch. The bill came to $47.75 before Charlene added an 18% service tip. How much did she add for the service tip?

a)

$8.60

b)

$11.20

c)

$19.75

d)

$29.75

7.

The school band sold 150 tickets to their concert. If 90 of the tickets were adult tickets, what percent of the tickets sold were adult tickets?

a)

30%

b)

40%

c)

50%

d)

60%

8.

A car travels 132 miles on 4 gallons of gas. At the same rate, how many gallons of gas are needed to travel 231 miles?

a)

7 gallons

b)

12 gallons

c)

33 gallons

d)

35 gallons

9.

Simplify the expression. 4x + 3 – x – 7

a)

3x + 4

b)

3x - 4

c)

5x + 4

d)

5x - 10

10.

What is the solution to the equation

4t – 20 = 16?

a)

36

b)

9

c)

-4

d)

-1

11.

Randy is playing a number game. Beginning with the number 6, he adds 4, multiples by 5, and then divides by -10. He then subtracts 2. What number does he find at the end of the game?

a)

-3.6

b)

-4.6

c)

-5

d)

-7

12.

Michael’s age is 5 years younger than Jordan. Jordan is 4 years younger than Keanu. Keanu is 22 years old. How old is Michael?

a)

9

b)

13

c)

18

d)

20

13.

Jeb’s weight w is 1/4 of Iago’s weight a. Which equation could be used to find Jeb’s weight?

a)

w = ¼ + a

b)

w = ¼ a

c)

w = a + ¼

d)

w = a – 1/3

14.

An electrician charges $50 for a house visit and $45 for each hour of work. If Mrs. Firewalks was charged $365.00 for work, how many hours did the electrician work?

a)

45h + 50 = 365

b)

50h + 45 = 365

c)

45h - 50 = 365

d)

50h - 45 = 365

15.
At 6 A.M. the temperature was -8
°C.  At noon the temperature was 3°C.  What was the change of temperature between 6 A.M. and noon?
a)
-11°C
b)
-5°C
c)
5°C
d)
11°C
16.
What is the quotient of -18
÷ (-1/6)?
a)
-108
b)
-3
c)
3
d)
108
17.
What is true about the relationship between miles and gallons?
a)
There is no relationship between miles and gallons.
b)
There is a proportional relationship between miles and gallons.
c)
There is a 1 to 23 relationship between miles and gallons.
d)
There is a 20 to 1 relationship between miles and gallons.
18.
What decimal is equivalent to 7/20?
a)
0.35
b)
1.34
c)
2.85
d)
7.20
19.
At the farmers' market, you can buy 3 melons for $10.50, 6 melons for $21, or 9 melons for $31.50.  What is the constant of proportionality for buying melons?
a)
3.50
b)
5.75
c)
10.50
d)
63.00
20.
Jen makes necklaces by stringing different color beads.  Each necklace is 18 inches long.  Jen has an 86-inch length of beaded string.  How many necklaces can she make?
a)
4
b)
5
c)
7
d)
8
21.
The ground temperature at ABC airport is 5°F. For every 500 feet gained in altitude, the temperature outside the plane drops 1.6°F. At an altitude of 3,000 feet, what will be the likely outside temperature?
a)
-9.6°F
b)
-4.6°F
c)
-3.4°F
d)
4.6°F
22.
Terry skated 2 miles in 1/2 hour.  Which of the following represents the unit rate that Terry skates?
a)
1/2 mi/hr
b)
(2 ÷ 1/2) mi/h
c)
(1/2 ÷ 2) mi/h
d)
2 mi/hr
23.
Four croissants cost $2.60.  How much will it cost to purchase 7 croissants?
a)
$4.55
b)
$5.20
c)
$9.60
d)
$10.77
24.
The cost of 50 pounds of pet food is $117.50.  What is the cost for one pound of pet food?
a)
$0.43
b)
$2.35
c)
$23.00
d)
$235.00
25.
On a map, the distance between two cities in 7.3 centimeters.  The map scale is 1 cm : 50 km.  What is the actual distance between the two cities?
a)
365 cm
b)
365 km
c)
400 km
d)
500 km
26.
Dallas got a raise.  His hourly wage was increased from $9 to $10.25.  What was the percent increase in Dallas' wage to the nearest whole percent?
a)
10%
b)
12%
c)
14%
d)
125%
27.
What is the volume of the rectangular prism to the nearest cubic centimeter?
a)
68 cm3
b)
75 cm3
c)
81 cm3
d)
135 cm3
28.
The graph shows the relationship between fees charged for downloading songs from a website and the number of songs downloaded. Which equation represents the relationship?
a)
y = 0.25x
b)
y = 0.50x
c)
y=0.75x
d)
y=5x
29.
The Healey family drove 192 miles in
4.5 hours. How many miles could they drive at this rate in 3 hours?
a)
64 mi
b)
77 mi
c)
128 mi
d)
184 mi
30.
A rectangle is 8 inches long and
4 inches wide. A similar rectangle is
12 inches long. What is the width of the second rectangle to the nearest inch?
a)
4 in.
b)
6 in.
c)
8 in.
d)
10 in.
31.
Which table represents the same linear relationship as the equation y = 3x + 5?
a)
  x:  0 , 1 ,  2 , 5 
        y: 0 , 11 , 14 , 17
b)
 x:   2 ,  3 ,  4 , 5
        y:  1 , 4  , 7 ,  10
c)
 x:  2 , 3 , 4 , 5
       y:  11 , 14 , 17 , 20
d)
 x:    2 , 3 , 4 , 5
       y:  15 , 20 , 25 , 30
32.
What decimal is equivalent to 7/20?
a)
0.35
b)
1.34
c)
2.85
d)
7.20
33.
What is the volume of the rectangular prism to the nearest cubic centimeter?
a)
68 cm3
b)
75 cm3
c)
81 cm3
d)
135 cm3
34.
What is the quotient of -18
÷ (-1/6)?
a)
-108
b)
-3
c)
3
d)
108
35.
The cost of 50 pounds of pet food is $117.50.  What is the cost for one pound of pet food?
a)
$0.43
b)
$2.35
c)
$23.00
d)
$235.00
36.
The line segment between the center and a point on the circle
a)
Radius
b)
Diamter
c)
Chord
d)
Tangnet
37.
To calculate the amount of carpeting needed for your bedroom, which of the following should you find: 
a)
Area
b)
Perimeter
c)
Surface Area
d)
Volume
38.
11b+7=40
a)
2
b)
1
c)
4
d)
3
39.
What is the circumference?
a)
36
b)
18pi
c)
108pi
d)
36pi
40.
A movie ticket cost me $5.60 after a 20% coupon. What was the original price of the ticket?
a)
$7
b)
$4.48
c)
$28
d)
$1.12
41.
The angle relationship shown is - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
42.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
43.
Find the area of the figure shown.
a)
34 units2
b)
960 units2
c)
220 units2
d)
480 units2
44.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
45.
Which expression is equivalent to
4x - 20
a)
4(x -5)
b)
4(x + 5)
c)
4x(1 - 5)
d)
4x(1 + 5)
46.
Which point has the greatest absolute value?
a)
A
b)
B
c)
C
d)
D
47.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
48.
Solve for x:
52 = -5x - 3
a)
x = 11
b)
x = -11
c)
x = 275
d)
x = -275
49.
a)
-6
b)
-11/3
c)
11/3
d)
6
50.
Solve the proportion below
a)
21
b)
7
c)
8
d)
24
51.
Write .506 as a percent.
a)
5.06%
b)
506%
c)
50.6%
d)
500.6%
52.
What is the fraction for the decimal 0.6?
a)
1/6
b)
6/100
c)
3/6
d)
3/5
53.
26 is 5% of what number?
a)
1.3
b)
2.5
c)
25.95
d)
520
54.
What is 30% of 80?
a)
30
b)
24
c)
2.4
d)
56
55.
A muffin recipe calls for 8 cups of flour and yields 24 muffins. If Natalie wants to make 60 muffins, how much flour will she need? 
a)
180
b)
24
c)
20
d)
3.2
56.
Find the area of the rectangle.
a)
40 cm
b)
13 cm
c)
30 cm
d)
26 cm
57.
Sam bought an $85.00 jacket for 40% off of the regular price.  How much did he pay for the jacket? 
a)
75
b)
51
c)
36
d)
isaiah
58.
What type of angle is this? 
a)
acute
b)
obtuse
c)
right
59.
Two angles added together to produce 90 degrees
a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
60.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
61.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
62.
Find the measure of the missing angle.
a)
30o
b)
110o
c)
150o
d)
40o
63.
The average of a group of numbers is called the...
a)
mean
b)
median
c)
mode
d)
range
64.

Angles whose measures have a sum of 90°

a)

Complementary Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Opposite Interior Angles

65.

Last year a real estate broker sold 90 homes. This year she sold 63 homes.


What was the percent of decrease in the number of homes she sold?

a)

27%

b)

30%

c)

63%

d)

70%

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