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Worksheets

7th grade review

Total questions: 54

Worksheet time: 4hrs 31mins

Name
Class
Date
1.
The temperature in a town is 34.1°F during the day and −8.6°F at night. Find the difference in the temperatures.
a)
42.7
b)
25.5
c)
42.7°F
d)
25.5°F
2.

3.8 - (-3.3)

a)

-0.5

b)

0.5

c)

-7.1

d)

7.1

3.
-6/7 × ⅔ 
a)
-8/10
b)
-18/14
c)
-12/21
d)
-4/7
4.
4⅔ × -1½
a)
-4½
b)
-4⅓
c)
7
d)
-7
5.
Solve the following equation:
-13.4 - (-1.784) = ?
a)
11.616
b)
15.184
c)
-11.616
d)
-15.184
6.

Alisha kept track of the growth of a plant. At the beginning of one week, her plant was 1 7/8 inches tall. The next week, the plant was 2 3/4 inches tall. How many inches did Alisha’s plant grow over the week?

a)

1/2

b)

7/8

c)

1 1/2

d)

4 5/8

7.
A Chicago Cubs baseball cap costs $30.  Michael has a coupon that will save him 30% of the  price. How much money will Michael pay for the cap?
a)
$9.00
b)
$22.00
c)
$21.36
d)
$21.00
8.
Alex bought a pair of shoes. They cost $65.50. If the tax was 8%, what was the final price of the shoes?
a)
$70.74
b)
$60.26
c)
$73.50
d)
$100
9.
A TV that normally cost $800 is on sale for 33% off.  There is a 6% sales tax on the purchase.  What is the final cost of the TV?
a)
$536.00
b)
$568.16
c)
$279.84
d)
$321.60
10.
Mrs. Frost is a real estate agent.  She earns 6% commission on her sales plus $2,000 each month.  Last month her sales totaled $523,250.00.  How much did she earn last month?
a)
$31,395.00
b)
$33,395.00
c)
$313,950.00
d)
$333,950.00
11.
The number of students in the school went from 1028 down to 755.  What is the percent decrease?
a)
26%
b)
27%
c)
36%
d)
136%
12.
George estimated that he scored a 75% on his math test.  To his surprise, he actually scored an 87%.  What was his percent error?
a)
13.7%
b)
16%
c)
13.8%
d)
86.2%
13.
The drawing of the statue is 3.3 inches tall.  This is 15.5% of the real height of the statue.  How tall is the real statue?
a)
34.7 feet
b)
21.3 feet
c)
0.5 feet
d)
5.2 feet
14.
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%
15.
Mrs. Ciampa had 27 students in her class last year and this year she had 30 students in her math class. What is the percent change?
a)
24%
b)
20%
c)
11%
d)
50%
16.

Alexton the Skeleton borrowed $4,000 for 5 years at 6% simple interest rate to pay for his band equipment. How much interest is that?

a)

$800

b)

$1,000

c)

$1,200

d)

$1,500

17.

Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?

a)

$150

b)

$192

c)

$1350

d)

$1392

18.
In 1999, the price of unleaded fuel was $1.09.  In 2015, the price of unleaded fuel is $1.89. What is the percent change?
a)
173% increase
b)
73% increase
c)
73% decrease
d)
27% increase
19.
(-2) × 4 - 32
a)
-17
b)
1
c)
-1
d)
17
20.

Simplify this expression:

-7w + (-6) + 5 + (-9w)

a)

-2w - 1

b)

-16w - 11

c)

-16w - 1

d)

-2w + 11

21.

Using the GCF, what is the factored form of 18f - 45

a)

3(6f - 15)

b)

9(2f - 5)

c)

6(3f - 5)

d)

18(f - 3.5)

22.

Factor the expression:


-15x - 35xy

a)

5( -3x + 7xy)

b)

15( -x - 3y)

c)

-5x(3 + 7y)

d)

5x(3x + 7y)

23.
Simplify the following expression:
-6x + 4(-x - 3)
a)
-2x - 12
b)
10x + 12
c)
-10x - 12
d)
-2x + 12
24.
Solve 2x - 3 = 1 
a)
3
b)
2
c)
1
d)
-2
25.
Solve    -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
26.
Justin is purchasing a new iPhone.  The sales clerk says that if he pays $100 now his monthly payments will be $25 and his total cost will be $600.  Which equation can be used to determine how many months Justin will be paying for his phone? 
a)
25x + 100 = 600
b)
25x - 100 = 600 
c)
600 - 100x = 25
d)
600 + 25x = 100 
27.
A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for?  
a)
60 - 15x = 210 
b)
15x - 60 = 210
c)
15x + 60 = 210 
d)
210 + 15x = 60 
28.
Jordan's teacher, Mr. Langdon, is eight years younger than five times his age. The sum of their ages is 64. Which equation can be used to find Jordan's age? 
a)
6x - 8 = 64
b)
5x - 8 = 64
c)
4x - 8 = 64 
d)
5x + 8 = 64
29.
The sum of four consecutive odd integers is equivalent to 232.  Which equation can be used to find the first integer? 
a)
4x = 232 
b)
x + x + 2 + x + 4 + x + 6 = 232 
c)
x + x + 1 + x + 3 + x + 5 = 232 
d)
x ⋅ x ⋅ x ⋅ x = 232 
30.
The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?
a)
50 + 3.5x < 71
b)
71 - 3.5x < 50
c)
71 - 3.5x ≤ 50
d)
71 + 3.5x < 50
31.
The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?
a)
106 - 4x ≤ 70
b)
70 + 4x ≤ 106
c)
4x - 106 ≥ 70
d)
106 - 4x< 70
32.
Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?
a)
200 + 25x ≥ 500
b)
500 + 25x ≥ 200
c)
500 - 25x ≥ 200
d)
500 - 25x ≤ 200
33.
-3y + 2 > 11
a)
y < -3
b)
y > -3
c)
y < 3
d)
y > 3
34.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
35.
Find the volume of this triangular prism.
a)
1440 cm3
b)
60 cm3
c)
720 cm3
d)
180 cm3
36.
What is the volume of this triangular prism?
a)
576 cm3
b)
288 cm3
c)
333 cm3
d)
28 cm3
37.
If a rectangular prism's volume is 420cm3.  The prism has a  length of 12cm, and width of 7cm, what is height of the rectangular prism? 
a)
12cm
b)
5cm
c)
420cm
d)
84cm
38.
a)
55 yd3
b)
121 yd3
c)
22 yd3
d)
330 yd3
39.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
40.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
41.
What is the area of a circle with the diameter of 10cm ?
a)
66cm
b)
78.5cm
c)
66.5cm
d)
10m
42.
what is the area of this semicircle ?
d = 8 cm 
a)
100.48 cm2
b)
80 cm2
c)
200.96 cm2
d)
25.12 cm2
43.
Jayne has a very large circular lollipop that has a circumference of 25.12 inches. What would the diameter of Jayne’s lollipop be? Use π = 3.14.
a)
4 in.
b)
8 in.
c)
12 in.
d)
16 in.
44.
Jayne has a very large circular lollipop that has a circumference of 25.12 inches. What would the area of Jayne’s lollipop be? Use π = 3.14. (You are going to have to find the diameter then radius before finding area.)
a)
50.24 in.2
b)
200.96 in2
c)
12.56 in. 2
d)
78.88 in.2
45.
 What is the area of the arrow?
a)
17 in2
b)
40 in2
c)
52 in2
d)
61 in2
46.
To promote recycling, the ground of the neighborhood sandbox is being covered with shredded tires . The sandbox will not be covered.
What is the area of the shredded tire portion of the playground?
a)
3600 feet2
b)
450 feet2
c)
1342 feet2
d)
3150 feet2
47.
The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
a)
5
b)
6
c)
9
d)
11
48.
Find the range.
5, 15, 10, 20, 15, 10, 15
a)
5
b)
10
c)
15
d)
13
49.
33, 25, 42, 25, 31, 37, 46, 29, 38
What is the third quartile of the data?
a)
37
b)
38
c)
40
d)
46
50.
33, 25, 42, 25, 31, 37, 46, 29, 38
What is the interquartile range of the data?
a)
8
b)
9
c)
13
d)
21
51.

What is the Mean Absolute Deviation (M.A.D.) for this data?

14, 19, 26, 27, 39

a)

125

b)

6.8

c)

25

d)

34

52.
A letter of the alphabet is chosen at random, then a coin is flipped. What is the probability of choosing a letter from the word MATH then getting tails? 
a)
17/26
b)
1/13
c)
5/13
d)
5/26
53.

Jacob's piggy bank has 18 quarters, 20 dimes, 24 nickels, and 43 pennies. He chooses a coin, does not replace it, then chooses another. What is the probability that he chose a dime then a nickel?

a)

9/52

b)

4/91

c)

44/105

d)

11/26

54.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10