Robinson Tuition
Grade 4 · Foundation and Higher · free GCSE maths worksheet

Solving equations with brackets

Expanding then solving.

14 original questions, 52 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

Solve 3(x + 4) = 27

2 marks
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x = 5
2

Solve 4(2x − 3) = 36

3 marks
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x = 6
3
  1. Expand and simplify 3(x + 2) + 2(x − 5)
  2. Solve 5(x − 3) = 20
4 marks
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a) 5x - 4 b) x = 7
4

Solve 5(x − 2) = 3x + 6

3 marks
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x = 8
5
  1. Expand and simplify 3(x + 4) + 2(x − 1)
  2. Factorise your answer to part (a).
  3. Solve 3(x + 4) + 2(x − 1) = 40
4 marks
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a) 5x + 10 b) 5(x + 2) c) x = 6
6
  1. Solve 2(3x + 4) = 5x + 17
  2. Factorise fully 6y2 + 9y
4 marks
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a) x = 9 b) 3y(2y + 3)
7
  1. Solve 9 − 2x = 3(x − 7)
  2. Simplify (m5)2 ÷ m3
4 marks
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a) x = 6 b) m7
8

Solve 4(x + 2) = 2(x − 3)

3 marks
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x = -7
9

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

The perimeter of the rectangle is 34 cm.

  1. Show that 2(3x + 2) = 34
  2. Solve the equation to find x.
  3. Work out the area of the rectangle.
4 marks
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b) x = 5 c) 72
10

Solve 3(2x − 1) = 2(x + 4)

Give your answer as a fraction or a decimal.

3 marks
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x = 11/4
11
  1. Simplify 4a + 3b − a + 5b
  2. Solve 5x − 42 = 18
  3. Solve 4(y + 3) = 2y + 22
5 marks
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a) 3a + 8b b) x = 8 c) y = 5
12

Solve 3(x − 1)2 = 9

3 marks
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x = 7
13
  1. Expand and simplify (2x + 3)(x + 4)
  2. Factorise fully 10y2 − 15y
  3. Solve 4(2x − 1) = 3x + 16
6 marks
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a) 2x2 + 11x + 12 b) 5y(2y - 3) c) x = 4
14

Solve 2(3x − 1) − 4(x − 2) = 15

4 marks
Show answer
x = 4.5

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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