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Worksheets

Model and Solve Equations

Total questions: 13

Worksheet time: 13mins

Name
Class
Date
1.

Write the equation for the model.

a)

2x + 3 = x + 1

b)

2x + 1 = x + 3

c)

2x - 1 = x - 3

2.

Write the equation for the model.

a)

3n - 6 = -n + 4

b)

3n + 4 = -n - 6

c)

3n + 4n = -n - 6n

3.

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation? 

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.
The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

4.

Solve for x:
-4x = 44

a)

x = 48

b)

x = -11

c)

x = 40

d)

x = -176

5.

There were 39 bales of hay in the barn. Jason stacked more bales in the barn today. There are now 95 bales of hay in the barn. Write an equation that could be used to find how many bales did he stored in the barn.

a)

x + 39 = 95

b)

39 + 95 = x

c)

x + 95 = 39

d)

39x = 95

6.

y + 6 = 20

a)

y = 22

b)

y = 13

c)

y = 14

d)

y = 16

7.

x - 10 = 12

a)

22

b)

-22

c)

2

d)

-2

8.

12 + z = 15

a)

-3

b)

3

c)

-27

d)

27

9.

2 + n =16

a)

18

b)

-18

c)

14

d)

-14

10.

a + 4 = 14

a)

-10

b)

10

c)

-18

d)

18

11.

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.

12.

What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

13.

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.