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Week 16 7th Grade Math Homework

Total questions: 20

Worksheet time: 50mins

Name
Class
Date
1.

Convert  7 167\ \frac{1}{6}  to a decimal using long division.

a)

 7.16666.....7.16666.....  

b)

 0.16666...0.16666...  

c)

 43.16666...43.16666...  

d)

 7.67.6  

2.


What is the value of 
 −12+(−3)+4-12+\left(-3\right)+4  



(a)  

3.

Jaedyn used 1/7 of a liter of water to fill 1/9 of the fish aquarium. How many liters of water are needed to fill the whole aquarium?

a)

79liters\frac{7}{9}liters

b)

116liters\frac{1}{16}liters

c)

163liters\frac{1}{63}liters

d)

1 27 liters1\ \frac{2}{7}\ liters

4.


Solve the equation below using inverse operations:
 45 = −2n − 1545\ =\ -2n\ -\ 15  


a)

 n = −30n\ =\ -30  

b)

 n = 30n\ =\ 30  

c)

 n = 15n\ =\ 15  

d)

 n =−15n\ =-15  

5.


Solve the inequality below using inverse operations:
 5n ≥ 275n\ \ge\ 27  



a)

 n ≥ 5.2n\ \ge\ 5.2  

b)

 n ≤ 5 25n\ \le\ 5\ \frac{2}{5}  

c)

 n≥5 25n\ge5\ \frac{2}{5}  

d)

 n≤ 5.2n\le\ 5.2  

6.

Convert  −5 13-5\ \frac{1}{3}  to a decimal using long division.

a)

 5.35.3  

b)

 −5.3-5.3  

c)

 −0.333...-0.333...  

d)

 −5.333...-5.333...  

7.


What is the value of 
 1−(−6)+101-\left(-6\right)+10  


a)

-17

b)

17

c)

3

d)

-3

8.

Peter walked 1/8 of a mile in 1/16 of an hour. How far can he walk in one hour?

a)

128 miles per hour

b)

2 miles per hour

c)

1128miles per hour\frac{1}{128}miles\ per\ hour

d)

48 miles per hour

9.


Solve the equation below using inverse operations:
 −25 = −6c − 13-25\ =\ -6c\ -\ 13  




(a)  

10.


Which of the following numbers could be a solution for the inequality?
 15 − x < 915\ -\ x\ <\ 9  


a)

7

b)

6

c)

2

d)

4

11.

Convert  −2 911-2\ \frac{9}{11}  to a decimal using long division.

a)

-2.81

b)

 -2.8

c)

-2.8181...

d)

2.81

12.


What is the value of 
 32 −(−30) ÷632\ -\left(-30\right)\ \div6  




(a)  

13.

Keren eats 1/3 of an apple in 1/6 of a minute. How many apples can she eat per minute?

a)

1 apple per minute

b)

2 apples per minute

c)

1/18 of an apple per minute

d)

12 apples per minute

14.


Solve the equation below using inverse operations:
 12c + 4 = 10\frac{1}{2}c\ +\ 4\ =\ 10  


a)

c = 12

b)

c = 3

c)

c = 7

d)

c = 14

15.


Solve the inequality below using inverse operations:
 c − 8 ≤ −11c\ -\ 8\ \le\ -11  



a)

 c ≤3c\ \le3  

b)

 c≤−3c\le-3  

c)

 c≤18c\le18  

d)

 c≤−18c\le-18  

16.

Convert  3 783\ \frac{7}{8}  to a decimal using long division.



(a)  

17.


What is the value of 
 −12(−3) + −7-12\left(-3\right)\ +\ -7  


a)

120

b)

-120

c)

29

d)

-29

18.

Schuyler used 1/5 oa n ounce of butter to make 1/15 of a pound of cornbread. How many ounces of butter are needed to make a pound of cornbread?

a)

3 ounces

b)

75 ounces

c)

1/3 ounce

d)

7.5 ounces

19.


Which of the following numbers could be a solution for the inequality?
 x5 + 1 < 7\frac{x}{5}\ +\ 1\ <\ 7  


a)

31

b)

30

c)

29

d)

30.5

20.


Solve the inequality below using inverse operations.
 13b >9\frac{1}{3}b\ >9  


a)

 b>27b>27  

b)

 b<27b<27  

c)

 b<3b<3  

d)

 b>3b>3