Printable · GCSE Foundation · ages 14-16

Linear equations worksheet — GCSE Foundation

Fifteen questions on "linear equations" — DfE statement A17. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

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Linear equations worksheet — GCSE Foundation

Maths · GCSE Foundation · A17 · Linear equations · Non-calculator · 15 questions

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1.Solve 2(x + 3) = 10
(a)x = 3.5
(b)x = 8
(c)x = 5
(d)x = 2
2.Solve 5(x + 3) = 40
(a)x = 8
(b)x = 11
(c)x = 7.4
(d)x = 5
3.Solve 3x − 5 = 4.
(a)9
(b)−1/3
(c)6
(d)3
4.Solve 6x + 4 = 28
(a)x = 4
(b)x = 144
(c)x = 24
(d)x = 18
5.Solve 5x − 9 = 16
(a)1.4
(b)5
(c)25
(d)3.2
6.Priya says that x = 6 is the solution of the equation 4x + 8 = 24. Priya is wrong. Work out the correct value of x.
(a)12
(b)4
(c)8
(d)16
7.The equation 3(2x − 1) = 4x + 9 is rearranged by expanding the brackets. Which of these is the correctly expanded equation?
(a)5x − 3 = 4x + 9
(b)6x − 3 = 4x + 9
(c)6x − 1 = 4x + 9
(d)6x − 4 = 4x + 9
8.Solve x − 4 = −9
(a)x = 13
(b)x = −13
(c)x = −5
(d)x = 5
9.Solve 3(2x − 1) = 27
(a)4
(b)5
(c)4.5
(d)4 2/3
10.Solve 3x − 1 = 8
(a)x = 9
(b)x = 6
(c)x = 27
(d)x = 3
11.Solve 6x − 5 = 3x + 13.
(a)18
(b)2
(c)2.67
(d)6
12.Solve 4x + 3 = 19
(a)3.75
(b)5.5
(c)4
(d)4.75
13.Solve (2x + 1)/3 = 5
(a)7
(b)14
(c)8
(d)2
14.To solve 6x − 4 = 2x + 20, Yusuf's first step is to subtract 2x from both sides. Work out what equation this gives.
(a)4x = 20
(b)4x − 4 = 20
(c)4x − 4 = 2x + 20
(d)8x − 4 = 20
15.Solve 5x + 2 = 17.
(a)3
(b)3.8
(c)15
(d)1.4

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