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End of 7th Grade Math Review

Total questions: 114

Worksheet time: 7hrs 4mins

Name
Class
Date
1.
What is the constant of proportionality for this table?   
a)
1/9
b)
9
c)
8
2.
Is this graph proportional?
a)
Yes
b)
No
3.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
4.
Is this graph proportional?
a)
Yes
b)
No
5.
What does a proportional relationship look like on a graph?
a)
A straight line that passes through the origin, (0,0).
b)
A line that does not pass through the origin , (0,0).
6.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
7.
Name the constant of proportionality.
a)
8
b)
16
c)
6
d)
3
8.
The school office ordered 24 boxes of pens. Their total cost was $191.52. What was the cost of 1 box of pens?
a)
$7.02
b)
$7.20
c)
$7.98
d)
$8.00
9.
Sam had $420 in his checking account.  He made 6 deposits of $40.25.  He needs to write 4 checks of $275.50.  What will the balance be 
a)
$661.50
b)
-$440.50
c)
$1102.00
d)
-$923.50
10.
Make the percent to decimal.
7%
a)
.007
b)
0.07
c)
7
d)
70
11.
Make the percent to decimal.
0.32%
a)
32
b)
0.32
c)
3.2
d)
0.0032
12.
In a class of 30 kids, 3 forgot to get their report cards signed. What percent is that?
a)
3%
b)
30%
c)
10%
d)
70%
13.
12 is what percent of 30?
a)
60%
b)
40%
c)
250%
14.
Change 4% to a decimal.
a)
.04
b)
.004
c)
.4
d)
4
15.
Solve:
-4x = 24
a)
20
b)
-20
c)
6
d)
-6
16.
Find the mean of these numbers:
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
17.

What is the definition of a variable?

a)

A letter or symbol that represents an unknown quantity

b)

The little number or letter used to raise to a power

c)

The number in front of a variable

d)

The number with no variable

18.
Which of the following is an expression?
a)
6x + 2x = 6
b)
10 = 5x
c)
2x + 6x - 10
d)
6x2 + 10 = 25
19.
Which of the following is a unit rate
a)
56 miles in 2 minutes
b)
$4.59 for 3 pounds
c)
$10 per student
d)
$30 for 15 minutes
20.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
21.
The distance across a circle is...
a)
radius
b)
diameter
c)
circumference 
d)
area
22.

What is the absolute value?

a)

The opposite of a number.

b)

The number that when added together equals 0.

c)

The distance a number is from zero.

d)

The number that when added together equals 1.

23.

Congruent means

a)

double or twice

b)

added together

c)

same or equal

24.

The distance around a circle.

a)

Area of a circle

b)

Circumference

c)

Volume

d)

Surface Area

25.

The number of square units needed to cover a surface

a)

area

b)

diameter

c)

slope-intercept form

d)

volume

26.
What is the absolute value of the point represented by the letter S?
a)
-4
b)
0
c)
1
d)
4
27.
Which of these expressions has the greatest value?
a)
-3 - -6
b)
-3 x -6
c)
-3 + -6
d)
-3 ÷ -6
28.
The class has 12 girls and 16 boys. What is the ratio of total students to boys? (simplest form)
a)
28/16
b)
7/4
c)
16/28
d)
12/16
29.
Round 23.542 to the nearest tenth.
a)
23.5
b)
23.6
c)
23.54
d)
23
30.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
31.
5/6  x  1/2 =
a)
5/6
b)
6/12
c)
5/12
d)
1/2
32.
Solve for x 
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
33.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
34.
Mrs. Jones has 1 cup of milk in a measuring cup. She pours out 1/3  to use in a recipe. How much does she have left?
a)
1/3
b)
1/6
c)
2/3
d)
3/3
35.
Solve the following equation:
9.331 - (-4.71) = ?
a)
14.041
b)
4.621
c)
13.402
d)
4.602
36.
Change this improper fraction into a mixed number:
47/5
(Use your multiplication chart)
a)
9 ⅖
b)
8  7/5
c)
9 ⅕
d)
8 ⅚
37.
What is 10% of 50?
a)
10
b)
5
c)
100
d)
20
38.
10 people were asked if they agree that there should be more school days. Of these, 5 responded yes. What percent agreed?
a)
50%
b)
5%
c)
10%
d)
75%
39.
A store offers a discount of $43 when you buy a painting for $100. What is the percent discount?
a)
50%
b)
43%
c)
57%
d)
100%
40.
Katherine notices that 13 of her 25 fish have a white spot. What percent of her fish has a white spot?
a)
13%
b)
25%
c)
26%
d)
52%
41.
On vacation, Alex had to pay a 16% sales tax on a souvenir. What percent of the original value of the souvenir did he pay in all?
a)
16%
b)
116%
c)
84%
d)
1.6%
42.
Last weekend, Nick bought a video game that had a discount of 62%. What percent of the original value did he pay for the game?
a)
62%
b)
38%
c)
162%
d)
100%
43.
What is 0.64 written as a percent?
a)
64%
b)
0.64%
c)
100%
d)
6.4%
44.
Find the total cost.  $ 990 T.V.; 9% tax 
a)
$ 89.10
b)
$ 900.90
c)
$ 1,079.10
d)
Free
45.
Vicky made some purchases at the Sunflower Market. She bought strawberries for $3.50, carrots for $2.25 and a bouquet of flowers for $9.95. If sales tax is 5%, what will Maria pay altogether
a)
$16.49
b)
$16.48
c)
$15.70
d)
$16.50
46.
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
47.
What is 40% of 230?
a)
92
b)
9200
c)
9.20
d)
575
48.
The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter? 
a)
35%
b)
25%
c)
30%
d)
20%
49.

What is the total cost of the purchase, including tax?

a)

$7.67

b)

$125.67

c)

$118

d)

$124.50

50.
Gimme a break,
gimme a break,
break me off a piece of that ___________.
a)
Kit Kat Bar
b)
Baby Ruth Bar
c)
Klondike Bar
d)
Almond Joy Bar
51.
WHO IS THIS
a)
ski mask
b)
ugly god
c)
XXXtentacion
d)
kaneki
52.
WHO IS THIS
a)
big sean
b)
xxxtentacion
c)
Jay-z
d)
ugly god
53.
A skateboard is on sale with a 25% discount. The original price was $120.
Find the sale price.
a)
60
b)
90
c)
110
d)
44
54.
Review. (Proportions Word Problems)
Perry bought 5 nectarines for $4. How many nectarines can Amanda buy if she has $16? 
a)
6 nectarines
b)
12 nectarines
c)
20 nectarines
d)
15 nectarines
55.
2a + 9 + 4a
a)
6a + 9
b)
2a + 9
c)
8a + 9
d)
6a - 9
56.
7 + 9b + 3b
a)
16b + 3b
b)
12b + 7
c)
27b + 7
d)
6b + 7
57.
2(c + 6) + 5c
a)
2c + 12 + 5c
b)
7c + 6
c)
7c + 12
d)
7c
58.
8d - 4d + 9d + 6d
a)
27d
b)
4d + 15d
c)
8(d + 9)
d)
19d
59.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
60.
-2x + 11 + 6x
a)
8x+11
b)
4x +11
c)
4x
d)
15x
61.
4(-p - 6)
a)
4p - 24
b)
4p + 24
c)
-4p + 24
d)
-4p - 24
62.
-3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
63.
(2x + 3) + (x + 5)
a)
3x + 5
b)
3x + 8
c)
2x + 5
d)
2x + 8
64.
(2x - 6) + (4x - 4)
a)
6x + 10
b)
6x - 10
c)
6x + 2
65.
(5x - 6) - (x + 2)
a)
4x - 8
b)
4x - 4
c)
4x + 4
66.
(10x + 2) - (8x - 4)
a)
2x - 2
b)
2x + 6
c)
18x + 6
d)
18x - 2
67.

7 + (-13)

a)

-6

b)

6

c)

-20

d)

20

68.

-4 - 16

a)

-20

b)

20

c)

-12

d)

12

69.

3 - 11

a)

-8

b)

8

c)

-14

d)

14

70.

-5 x 9

a)

-45

b)

45

c)

4

d)

yellow

71.

-32 / 8

a)

4

b)

-4

c)

256

d)

-256

72.

-56 / -7

a)

8

b)

-8

c)

392

d)

-392

73.

-9 + (-9)

a)

0

b)

18

c)

-18

74.

-6 - (-8)

a)

-2

b)

2

c)

-14

d)

14

75.
4 x (- 6) =
a)
10
b)
24
c)
- 24
d)
- 20
76.
(- 3)(- 7) = 
a)
21
b)
24
c)
- 21
d)
10
77.
40 ÷ (-10) =
a)
- 40
b)
4
c)
- 4
d)
40
78.

Evaluate:

−7(−8)

a)

56

b)

54

c)

−56

d)

−54

79.
Evaluate:
−5(11)
a)
−55
b)
55
c)
6
d)
−50
80.

Evaluate:

−144 ÷ (12)

a)

12

b)

−12

c)

11

d)

−11

81.
-3 ¼ + ½
a)
-2 ¾
b)
3 ¾
c)
-3 ¾
d)
82.
-½ + -½
a)
- ¼
b)
1
c)
0
d)
-1
83.
Gretchen spends 1/2 an hour grooming Hobo and 1/3 of an hour riding Hobo. How much time did she spend with Hobo?
a)
⅖ hours
b)
⅚ hours
c)
⅔ hours
d)
⅜ hours
84.
Candice and Chris run a relay race at recess. Candice runs 1 ⅓ of a lap around the track. Chris runs ½ of a lap around the track. How much farther does Candice run than Chris?
a)
⅚ laps
b)
⅔ laps
c)
¾ laps
d)
⅙ laps
85.
Tina lives 2 ¼ miles from the library. Sonya lives 3 ½ miles from the library. How much further does Sonya live than Tina?
a)
1 ½ miles
b)
1 ¼ miles
c)
¾ miles
d)
⅔ miles
86.
A Gatorade cooler has 36 cups of water. If a serving is ¾ of a cup how many servings are in the cooler?
a)
48 servings
b)
27 servings
c)
36 ¾ servings
d)
60 servings
87.
Steve has overdrawn his checking account by $27. His bank charged him $15 for an overdraft fee. Then he quickly deposited $100. What is his current balance?
a)
- $58
b)
- $112
c)
$58
d)
$112
88.
In Buffalo, New York, the temperature was -14oF in the morning. If the temperature dropped 7oF, what is the temperature now? 
a)
7F
b)
-7F
c)
-21F
d)
21F
89.
When multiplying or dividing a NEGATIVE and NEGATIVE number your answer will be...
a)
Positive
b)
Negative
c)
Depends on the largest number
d)
None of the above
90.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
d)
None of the above
91.
Convert to a decimal
           1/8
a)
.25
b)
.125
c)
.55....
d)
.18888...
92.
Convert to a decimal
           3/4
a)
.25
b)
.34
c)
.75
d)
.44...
93.
     Sharon wants to make cookies for her class bake sale.  She found a recipe that calls for 2/3 cups of flour for each batch of cookies.  How many batches can she make using 12 cups of flour?
a)
12
b)
8
c)
6
d)
4
94.
Write 5/9 as a decimal.
a)
0.59
b)
0.95
c)
0.555...
d)
1.8
95.
Evaluate the expression.
|–5| + 8
a)
3
b)
13
c)
-13
d)
-3
96.
Which of the following is NOT an example of a unit rate?
a)
20 miles per hour
b)
60 feet per minute
c)
$40.00 every day
d)
All of these are examples of unit rates.
97.
Lynnette can wash 95 cars in 5 days. How many cars does she wash each day?
a)
475 cars per day
b)
19 cars per day
c)
.05 cars per day
d)
15 cars per day
98.
Henry can write 5 ¼  pages of his novel in 3 hours. How many pages does he write per hour?
a)
15.25 pages per hour
b)
15.75 pages per hour
c)
1.75 pages per hour
d)
not here
99.
Solve the proportion.
a)
k=5
b)
k=45
c)
k=60
d)
k=90
100.
Simplify the complex fraction shown.
a)
9/40
b)
40/9
c)
10/36
d)
5/18
101.
If a snail can move 3/10 of a meter every 1/12 hour, what is the speed of the snail, in meters per hour?
a)
1/40
b)
5/18
c)
1 1/2
d)
3 3/5
102.
Sasha can mow 3/8 of an acre of grass in 3/4 an hour. How many acres of grass does Sasha mow per hour?
a)
2  ac./hr.
b)
1/2  ac./hr.
c)
9/24  ac./hr.
103.
Simplify the complex fraction.
a)
18
b)
1/18
c)
9/72
d)
1/8
104.
Simplify the complex fraction.
a)
32/135
b)
7/61
c)
427
d)
1/427
105.
If a dog can eat 1/3 of a bag of food in 1/2 week, how many bags of food can the dog eat in 1 week?
a)
1/6
b)
2/3
c)
3/2
d)
5/6
106.
The variable, k, is being divided by 11. How should you show your work to isolate the variable?
a)
Divide both sides by 11
b)
Multiply both sides by 11.
c)
Add 11 to both sides.
d)
Subtract 11 to both sides.
107.
In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation? 
a)
Subtract 7 from both sides. The solution is x = 5.
b)
Add 7 to both sides.
The solution is x = 19.
c)
Multiply both sides by 7 The solution is x = 84.
108.
Solve the equation:
20.5 = x + 4
a)
16.5
b)
16.05
c)
24.5
d)
24.05
109.
y/3=12
a)
36
b)
-36
c)
4
d)
-4
110.
y - 33 = 147
a)
y = 114
b)
y = 177
c)
y = 180
d)
Answer not Given
111.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
112.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
113.
-5y + 8
The coefficient of the variable is 
a)
y
b)
8
c)
-5
d)
2
114.
Distribute to simplify -3( x + 7)=
a)
5x + 9
b)
-3x + 21
c)
-3x - 21
d)
3x+ 21