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Worksheets

equations

Total questions: 56

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

What does the word "inverse" mean?

a)

the same

b)

the opposite

2.

What is the inverse of addition?

a)

Addition

b)

Multiplication

c)

Subtraction

d)

Division

3.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
4.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
5.

Select the correct inverse operation for the following problem:

y + 53 = 99

a)

Add 99

b)

Add 53

c)

Subtract 99

d)

Subtract 53

6.

What would the inverse operation be?
2s=192s=19  

a)

addition

b)

subtraction

c)

multiplication

d)

division

7.

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.

8.
x/5 = 20
a)
x = 4
b)
x =100
c)
x =3
d)
x =25
9.
6x = 30
a)
x = 5
b)
x = 24
c)
x = 6
d)
x = 36
10.
(-4)(-5)
a)
-9
b)
-20
c)
9
d)
20
11.
Solve the following equation
18 = 3b
a)
15
b)
6
c)
21
d)
54
12.
k+8=15
a)
k=23
b)
k=10
c)
k=7
d)
k=11
13.
Solve:
a)
-12
b)
-8
c)
12
d)
8
14.

Evaluate 3d if d = 5

a)

3

b)

5

c)

12

d)

15

15.

Which of the following expressions is equivalent to a + a + b + b + b?

a)

2a + 3b

b)

a + 3b

c)

5 + a + b

d)

5ab

16.
The difference of a number and 9 is 12.
a)
9-n=12
b)
9+n=12
c)
n-9=12
d)
9/n=12
17.

Eleven more than Brittany's age is 34

a)

11-b=34

b)

b+11=34

c)

b-11=34

d)

34-11=b

18.
What is the sum of 14 and x?
a)
x - 14
b)
14(x)
c)
14 + x
d)
14/x
19.

Evaluate 3x - 7 if x = 12

a)

36

b)

29

c)

28

d)

13

20.

9x + 12

a)

3(3x +4)

b)

9(x+3)

c)

-3(3x+4)

d)

21x

21.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

22.

Janeen's mother is 47. She is 26 years older than Janeen. Which equation can be used to find Janeen's age j?

a)

j + 26 = 47

b)

26j = 47

c)

j - 26 = 47

d)

47j = 26

23.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

6

d)

16

24.
2. Cheryl gets paid $8 per hour for her job at the record store.  She made a total of $96 last week.  Which equation models this situation?
a)
96h = 8
b)
h/96 = 8
c)
8h = 96
d)
h/8 = 96
25.

a symbol for an unknown value; usually a letter (such as a, x, or y) is the symbol used

a)

constant

b)

variable

c)

coefficient

d)

term

26.

Which equation represents the statement: "Seven less than a number is 18"?

a)

7 - n = 18

b)

n - 7 = 18

c)

n / 7 = 18

d)

n + 7 = 18

27.

What is the value of 4y if y = 3?

a)

9

b)

1

c)

12

d)

7

28.

What is the inverse operation of multiplication?

a)

Multiplication

b)

Subtraction

c)

Addition

d)

Division

29.

What is the solution to the equation x - 7 = 10?

a)

7

b)

3

c)

10

d)

17

30.

Which equation represents the statement: "Five times a number is 40"?

a)

n - 5 = 40

b)

n / 5 = 40

c)

5n = 40

d)

n + 5 = 40

31.

What is the inverse operation of addition?

a)

Multiplication

b)

Division

c)

Subtraction

d)

Addition

32.

What is the solution to the equation 4y = 28?

a)

y = 14

b)

y = 7

c)

y = 24

d)

y = 32

33.

Which equation represents the statement: "A number increased by 9 is 21"?

a)

n / 9 = 21

b)

n - 9 = 21

c)

n + 9 = 21

d)

9n = 21

34.

What is the value of 2x + 5 if x = 4?

a)

13

b)

18

c)

8

d)

9

35.
A garden contains 75 flowers, each of which is either pink or white.  If there are 37 pink flowers, how many white flowers are there?
a)
37f = 75
b)
75f = 37
c)
37 - f = 75
d)
37 + f = 75
36.
Hailey bought a book for $2.50 and 4 stickers.  She spent a total of 6.59.  How much did the stickers cost?
a)
$2.50 + 4s =$6.59
b)
$2.50s + 4 = $6.59
c)
$2.50 - 4s = $6.59
d)
4s - $2.50 = $6.59
37.
Seven friends bought pizza.  Each friend pitched in the same amount.  If the pizza came to a total of $14.49, how much did each friend pay?
a)
7 - p = $14.49
b)
7p = $14.49
c)
7 + p = $14.49
d)
7/p = $14.49
38.
Jazmine joined a music club.  The start up fee was $10.00.  Each song she downloads is $0.99.  If she spent a total of $15.94, how many songs did she download?
a)
$10.00 + $0.99m = $15.94
b)
$10.00m + $0.99 = $15.94
c)
$10.00/$0.99m = $15.94
d)
$10.00 - $0.99m = $15.94
39.
Jenna earns $15.00 a month for allowance.  How many months will it take her to save $105.00?
a)
$15.00 + w = $105.00
b)
$15.00 - w = $105.00
c)
$15.00/w = $105.00
d)
$15.00w = $105.00
40.
Cadin rents a bouncy house for a birthday party.  It costs $30.00 plus $4.00 per hour.  If he spends a total of $78.00, how many hours did he keep the bouncy house?
a)
$30.00 - $78.00 = $4.00h
b)
$78.00 + $30.00 = $4.00h
c)
$30.00 + $4.00h = $78.00
d)
$30.00 - $4.00h = $78.00
41.
Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in? 
a)
2 + n = 7
b)
n - 7 = 2
c)
2 - n = 7
d)
7 + n = 2
42.
After paying $5.12 for a salad, Daxton has $27.10. How much money did he have before buying the salad? 
a)
 n + $5.12 = $27.10
b)
 n - $5.12 = $27.10
c)
n - $5.12 = $27.10
d)
$5.12 - n = $27.10
43.
Emily earns $14 per hour. Which equation represents how many hours she worked to earn $112? 
a)
14h = 112
b)
h + 14 = 112
c)
14 / h = 112
d)
h - 14 = 112
44.
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.  (Remember you are in 7th grade, not 1st grade)
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
10 + 4 = v
45.
A group of 3 friends each have video games at their home.  Then each friend buys 5 more video games.  Now the three friends have a total of 30 video games.  How many video games did each friend start with?
a)
3(x+5) = 30
b)
x(3+5) = 30
c)
5(x+3) = 30
d)
30(3+5) = x
46.
Last season, I spent $2752 to see my team play 43 games.  To see each game, I had to buy a ticket and pay $10 for parking.  How much was each ticket?
a)
10(x+43) = 2752
b)
x(10+43) = 2752
c)
43(x+10) = 2752
d)
2752(43+x)=10
47.
You mailed 20 identical Christmas cards weighing more than 1 ounce each.  Mailing each card costs $.44 for the first ounce, plus .17 for each additional ounce.  The postage for all cards totalled $15.60.
a)
20(.17w) = 15.60
b)
20(.44w) = 15.60
c)
20(.17w + .44) = 15.60
d)
20(.44w + .17) = 15.60
48.
You bought a magazine for $8 and 6 erasers.  If you spent a total of $11, then how much did each eraser cost?
a)
$3.00
b)
$2.00
c)
$.50
d)
$.625
49.
You decide to rent a bike for $25 plus $3.00 per hour.  If you spent a total of $40.00, how many hours did you rent the bike?
a)
1 hour
b)
4 hours
c)
2 hours
d)
5 hours
50.
You want to buy a new pair of shoes that costs $95.00.  You have already saved up $27.00 and you plan to save $4 per week.  How many weeks until you have enough money to buy the shoes?
a)
68 weeks
b)
17 weeks
c)
91 weeks
d)
64 weeks
51.
A group of 8 friends went to a basketball game. They each buy a ticket and decide to share a big bag of popcorn.  One bag of popcorn cost $12.00.  The total cost for all their tickets and one bag of popcorn was $84.00.  How much did each person spend on a ticket?
a)
$9.00
b)
$7.00
c)
$12.00
d)
$15.00
52.
For a field trip, 13 students rode in cars and the rest filled seven buses.  How many students were in each bus if 251 students were on the trip?
a)
231
b)
5
c)
65
d)
34
53.
Half of your baseball card collection got wet and was ruined.  Bought 11 cards to replace some that were lost.  How many did you begin with if you now have 31?
a)
40
b)
51
c)
73
d)
62
54.
You take out a loan from a bank for $3600.  You plan to pay back 300 per week.  Which equation would help you solve the number of weeks to pay back the loan?
a)
3600 - 300w = 0
b)
-3600w + 300 = 0
c)
0 - 3600 = 300w
d)
w + 3600 + 300 = 0
55.
Four friends bought pizza.  They all split the cost evenly.  The pizza was $16.00.  The total bill came to $32.00.  Which equation matches this story.
a)
4 + 16 = 32
b)
16-4 = 32x
c)
16 + 4p = 32
d)
4p + 16 = 32
56.
Paul bought a notebook for $2.50 and 3 pencils.  He spent a total of $5.47.  How much did each pencil cost? 
a)
$.99
b)
$2.97
c)
$7.97
d)
$1.17