Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Solving Equations

Total questions: 44

Worksheet time: 4hrs 40mins

Name
Class
Date
1.

What is the first step to solve this equation:

- 3x -11 = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

2.

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

a)

subtract 10, divide by 7

b)

divide by 7, subtract 10

c)

multiply by 7, add 10

d)

add 10, multiply by 7

3.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
4.

Solve for a:

-3a + 8 = 14

a)

a = -2

b)

a = -7.5

c)

a = 2

d)

a = 6

5.

Solve for x:

2x - 3 = 1

a)

x = 3

b)

x = 2

c)

x = 1

d)

x = -2

6.

Solve for x:

2x - 3 + 4x = 27

a)

x = 12

b)

x = 4

c)

x = 5

d)

x = 15

7.
Solve for b:
 3(b - 4) = -3
a)
b = 3
b)
b = -3
c)
b = 5
d)
b = -5
8.

Solve for x:

7(2x - 4) = 42

a)

x = 5

b)

x = 8

c)

x = 2

d)

x = 9

9.
Solve for b:
-11 + 3(b + 5) = 7
a)
b = 1
b)
b = -1
c)
b = 3
d)
b = -3
10.

Solve for k:

38 + 7k = 8(k + 4)

a)

k = 6

b)

k = 8

c)

k = -6

d)

k = 1

11.
Solve for the variable. 3x=-27
a)
x=9
b)
x=-30
c)
x=-9
d)
x=-24
12.
Simplify:
5(3x+1)
a)
15x+1
b)
15x+5
c)
8x+1
d)
8x+6
13.
Solve:
2(2t - 3) = 6(t + 2)
a)
t=9
b)
t=4
c)
t=-9
d)
t=-3
14.
solve for x
a)
5
b)
-25
c)
15
d)
1/5
15.
solve for m
a)
-15
b)
15
c)
30
d)
-30
16.

Solve for k:

a)

k = 32

b)

k = 12

c)

k = 44

d)

k = 8

17.

solve for x, write your final answer as a simplified fraction:

 3(4−x)=10−2(3x+1)3\left(4-x\right)=10-2\left(3x+1\right)  

a)

 x=43x=\frac{4}{3}  

b)

 x=0x=0  

c)

 x = −43x\ =\ -\frac{4}{3}  

d)

 x = 34x\ =\ \frac{3}{4}  

18.

3(x-8)=3x-24

a)

No Solution

b)

x=3

c)

Infinite Solutions

19.
8z - 22 = 3 ( 3z + 11) -z
a)
No Solution
b)
One Solution
c)
Infinite Solutions
20.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 8 = 3(x - 4) + 1

a)

one

b)

no solutions

c)

infinite solutions

21.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 7 = 3(x - 3) + 2

a)

one

b)

no solutions

c)

infinite solutions

22.
Like terms are 
a)
numbers or same variable raised to the same power
b)
equal numbers
c)
only unknown values
23.
Where/what is the mistake?
a)
Line 2 - You should add 12 to both sides.
b)
Line 4 - You should multiply both sides by the reciprocal.
c)
Line 4 - You should multiply both sides by the original fraction. 
d)
Line 5 - There was a calculation error.
24.

Who helped the Pilgrims learn to survive in their new home?

a)

Nina

b)

Squanto

c)

England

d)

The King

25.

What did the Wampanoag and the Pilgrims celebrate together?

a)

turkeys and pumpkin pie

b)

the bountiful harvest

c)

religious freedom

d)

a new government

26.

Where did the Pilgrims land?

a)

in a Virginia colony

b)

in Plymouth, on the Massachusetts coast

c)

near Hudson Bay

d)

Sierra Vista, AZ

27.

The cornucopia is a horn-shaped container filled with fruits and vegetables. What might the cornucopia represent?

a)

religious freedom

b)

the Mayflower

c)

a long voyage

d)

the harvest

28.
The Pilgrims sailed on the _________________.
a)
Flower
b)
May
c)
Mayflower
d)
Flowery
29.
They are _________ and ____________ dishes.  
a)
washing, drying
b)
throwing, catching
30.

The first Thanksgiving included the Pilgrims and which Native Americans?

a)

Anishanaabe

b)

Mohawk

c)

Iroquois

d)

Wampanoag

31.

How many balloons were in the first Macy's Thanksgiving Day Parade in 1924?

a)

0

b)

4

c)

12

d)

25

32.

True or False: The first TV dinners were a result of a Swanson employee ordering too many turkeys for Thanksgiving.

a)

True

b)

False

33.

About how many turkeys are cooked for Thanksgiving each year?

a)

18 million

b)

46 million

c)

74 million

d)

106 million

34.

Black Friday is the busiest day of the year for:

a)

emergency rooms

b)

Christmas tree lots

c)

Amazon

d)

plumbers

35.

Which NFL team has played the most Thanksgiving Day games?

a)

Dallas Cowboys

b)

Detroit Lions

c)

Minnesota Vikings

d)

New York Giants

36.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
37.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
38.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
39.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
40.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
41.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
42.
x - (-1) = 11
a)
x = 10
b)
x = 12
c)
x = -10
d)
x = 11
43.
-y = 22
a)
y = 1
b)
y = -22
c)
y = 0
d)
y = -1
44.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4