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Solve Simple Mixed Equations (2)

In this worksheet, students solve simple one-stage equations.

'Solve Simple Mixed Equations (2)' worksheet

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Equations and Algebra

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

When we solve algebraic equations, our aim is to end up with one letter on one side of the equals sign and one number on the other.  This is the solution.

We do this by using inverse operations to undo things that get in the way, but remember that we must do the same thing to both sides.

 

Example

Solve for a

5 - a = 10

 

Answer

Add a to both sides.

5 - a + a = 10 + a

Simplify

5 = 10 + a

Subtract 10 from both sides.

5 -10 = 10 - 10 + a

Simplify

-5 = a

a = -5

 

Example

5b = 20

 

Answer

Divide both sides by 5

5b ÷ 5 = 20 ÷ 5

Simplify

b = 4

 

Example

b ÷ 5 = 20

 

Answer

Multiply both sides by 5

b ÷ 5 x 5 = 20 x 5

Simplify

b = 100

Solve for a:

37 + a = 15

 

a = 52

52

a = -22

Solve for a:

a - 43 = 18

 

a = -25

a = 25

a = 61

Solve for a:

7a = 147

 

a = 140

a = 21

a = 28

Solve for a:

a ÷ 3 = 36

 

a = 108

a = 39

a = 12

Solve for a:

a - 28 = 210

 

a = -7

a = 238

a = -238

Solve for a:

18 - a = 270

 

a = 252

a = 15

a = -252

Solve for a:

a ÷ 30 = 100

 

a = -130

a = 130

a = 3000

Solve for a:

3a = 192

 

a = 189

a = 64

a = 54

Solve for a:

150 - a = 13

 

a = 137

a = -163

a = 163

Solve for a:

12a = 6

 

a = 2

a = -2

a = ½

  • Question 1

Solve for a:

37 + a = 15

 

CORRECT ANSWER
a = -22
  • Question 2

Solve for a:

a - 43 = 18

 

CORRECT ANSWER
a = 61
  • Question 3

Solve for a:

7a = 147

 

CORRECT ANSWER
a = 21
  • Question 4

Solve for a:

a ÷ 3 = 36

 

CORRECT ANSWER
a = 108
  • Question 5

Solve for a:

a - 28 = 210

 

CORRECT ANSWER
a = 238
  • Question 6

Solve for a:

18 - a = 270

 

CORRECT ANSWER
a = -252
  • Question 7

Solve for a:

a ÷ 30 = 100

 

CORRECT ANSWER
a = 3000
  • Question 8

Solve for a:

3a = 192

 

CORRECT ANSWER
a = 64
  • Question 9

Solve for a:

150 - a = 13

 

CORRECT ANSWER
a = 137
  • Question 10

Solve for a:

12a = 6

 

CORRECT ANSWER
a = ½
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