Robinson Tuition
Year 7 · Key Stage 3 · free KS3 maths worksheet

Solving equations and rearranging

12 original questions, 38 marks. Type your answers below for an instant mark and a score (algebra in any equivalent form, e.g. 2sqrt(3) or 2√3), or print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

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The questions

1
  1. Solve  c − 8 = 11
  2. Solve  6d = 54
  3. Solve  e ÷ 4 = 7
3 marks
Show answer
a) c = 19 b) d = 9 c) e = 28
2

Make x the subject of each equation.

  1. x + 5 = y
  2. x − 3 = p
  3. 4x = t
3 marks
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a) x = y - 5 b) x = p + 3 c) x = t/4
3

Solve 5x − 7 = 23

2 marks
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x = 6
4

Solve 4(2x − 3) = 36

3 marks
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x = 6
5

Solve

  1. 3x + 11 = 2
  2. 2(y + 7) = 6
  3. 10 − 3w = 25
4 marks
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a) x = -3 b) y = -4 c) w = -5
6

Solve 7x − 5 = 3x + 23

3 marks
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x = 7
7

Solve 5x + 9 = 2x − 6

3 marks
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x = -5
8

Make x the subject of the formula

y = 2x + 9

2 marks
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x = y - 92
9
  1. Make r the subject of A = 3(r + 2)
  2. Make x the subject of y = x2 + 4, where x is positive
  3. Make m the subject of k = √m
3 marks
Show answer
a) r = A/3 - 2 b) x = √(y - 4) c) m = k2
10

A rectangle has length (3x + 2) cm and width (x − 1) cm.

The perimeter of the rectangle is 50 cm.

Work out the length of the rectangle.

4 marks
Show answer
20 cm
11

Jamal, Mei and Tobi collect football stickers.

Mei has 5 more stickers than Jamal.
Tobi has twice as many stickers as Jamal.
Altogether they have 61 stickers.

How many stickers does Tobi have?

4 marks
Show answer
28
12

A square has sides of length (2x − 3) cm.

An equilateral triangle has sides of length (x + 6) cm.

The square and the triangle have the same perimeter.

Work out the area of the square.

2x − 3x + 6Diagram NOT accurately drawn
4 marks
Show answer
81 cm²

Your score

Answer the questions above and your score appears here.

Every question here is original and written by Robinson Tuition. It follows the Key Stage 3 programme of study; Year 9 sheets end with extension questions for top sets.

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