 # Simplify and Solve One-Stage Equations

In this worksheet, students simplify like terms before solving simple one-stage equations. Key stage:  KS 2

Curriculum topic:  Maths and Numerical Reasoning

Curriculum subtopic:  Equations and Algebra

Difficulty level:   ### 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 simplifying like terms if we can and then using inverse operations to undo things that get in the way, but remember that we must do the same thing to both sides.

Example

7b - 2b = 20

Simplify the left hand side by combining like terms

5b = 20

Divide both sides by 5

5b ÷ 5 = 20 ÷ 5

Simplify

b = 4

Solve for a:

7a - a = 12

a = 19

12

a = 2

Solve for a:

4a + a = 15

a = -11

a = 3

a = 19

Solve for a:

5a + 2a = 21

a = 14

a = 3

a = 28

Solve for a:

6a + 5a = 22

a = 33

a = 11

a = 2

Solve for a:

5a - 4a  = 21

a = -12

a = 21

a = 12

Solve for a:

10a - 2a = 24

a = 3

a = 6

a = -6

Solve for a:

a - 2a = 18

a = -18

a = 6

a = 18

Solve for a:

3a - 6a = 18

a = 15

a = 6

a = -6

Solve for a:

2a - a = -13

a = 11

a = -13

a = 12

Solve for a:

-10a + 25a = -30

a = 15

a = -15

a = -2

• Question 1

Solve for a:

7a - a = 12

a = 2
• Question 2

Solve for a:

4a + a = 15

a = 3
• Question 3

Solve for a:

5a + 2a = 21

a = 3
• Question 4

Solve for a:

6a + 5a = 22

a = 2
• Question 5

Solve for a:

5a - 4a  = 21

a = 21
• Question 6

Solve for a:

10a - 2a = 24

a = 3
• Question 7

Solve for a:

a - 2a = 18

a = -18
• Question 8

Solve for a:

3a - 6a = 18

a = -6
• Question 9

Solve for a:

2a - a = -13

a = -13
• Question 10

Solve for a:

-10a + 25a = -30

a = -2
---- OR ----

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