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Worksheets

Solving Equations

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.

What will you do to solve this equation? (a)   3x+6=123x+6=12

Choose from the below words
subtract 6 from both sides
add 6 to both sides
subtract 3 from both sides
add 3 to both sides
2.

What will you do to solve this equation?

4x = 16

a)

divide both sides by 4

b)

multiply both sides by 4

c)

subtract 4 from both sides

d)

divide both sides by 16

3.

3x+1=7

a)

2

b)

83\frac{8}{3}

c)

3

d)

8

4.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
5.
Solve for w:
-6w + 1 = -11
a)
2
b)
1.2
c)
12
d)
-2
6.
6 - 3a = 21
a)
a= 9
b)
a= -9
c)
a= -5
d)
a= 5
7.
-3 ( f - 8 ) = 39
a)
-21
b)
-10.3
c)
-5
d)
5
8.

4b+7=274b+7=27  

What is the solution for the equation,

a)

-18

b)

5

c)

-19

d)

-9

9.
5(x-3)=40
a)
11
b)
43/5
c)
38
d)
37/5
10.

3x - 5 = 10

What is the first step to solving this equation?

a)

add 5

b)

subtract 5

c)

divide 5

d)

multiply 5

11.

3x = 15

What is the next step to solving this equation?

a)

add 3

b)

subtract 3

c)

divide 3

d)

multiply 3

12.

x5=3\frac{x}{5}=3

What is the first step to solving this equation?

a)

add 5

b)

subtract 5

c)

divide 5

d)

multiply 5

13.

x5=5\frac{x}{5}=5

a)

x=1x=1

b)

x=25

c)

x=0

d)

x=10

14.

x2=4\frac{x}{2}=4

a)

x=2

b)

x=6

c)

x=8

d)

x=-2

15.

Solve for the given variable:

5k + 9 = 19

a)

k = 3

b)

k = -5

c)

k = 2

d)

k = 6

16.

6p + 10 - 3p = 37

a)

p = 9

b)

p = -5

c)

p = 7

d)

p = 8

17.

4 + 7a + 6 - 2a = 45

a)

a = 5

b)

a = 8

c)

a = - 4

d)

a = 7

18.

x - 3 + 6x + 9 = 48

a)

x = 7

b)

x = 6

c)

x = - 3

d)

x = 9

19.
Solve the following equation.
4x + 3 = -5
a)
1/2
b)
-1/2
c)
-2
d)
2
20.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.