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 · 15 questions

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1.Solve (3x + 2)/5 = (x + 4)/3
(a)x = 3.5
(b)x = 4.5
(c)x = 10
(d)x = 1
2.Solve 3(2x − 1) = 27
(a)4
(b)5
(c)4.5
(d)4 2/3
3.Solve 6x + 4 = 28
(a)x = 4
(b)x = 144
(c)x = 24
(d)x = 18
4.Solve 7x − 5 = 3x + 11
(a)−4
(b)1.5
(c)0.6
(d)4
5.Solve 5x − 9 = 16
(a)1.4
(b)5
(c)25
(d)3.2
6.Solve 3x − 1 = 8
(a)x = 9
(b)x = 6
(c)x = 27
(d)x = 3
7.Solve 3x + 14 = 8x − 6
(a)x = 15
(b)x = 2.5
(c)x = 4
(d)x = −1.6
8.Solve 3x − 5 = 4.
(a)9
(b)−1/3
(c)6
(d)3
9.Solve 2x + 7 = x + 13
(a)x = 2
(b)x = 20
(c)x = −6
(d)x = 6
10.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
11.Solve (2x + 1)/3 = 5
(a)7
(b)14
(c)8
(d)2
12.Solve 2x − 2 = 2
(a)x = 2
(b)x = 8
(c)x = 0
(d)x = 4
13.Solve 4(x − 3) = 2x + 6.
(a)4.5
(b)−3
(c)3
(d)9
14.Solve x/4 + 1 = 3
(a)x = 16
(b)x = 8
(c)x = 0.5
(d)x = 2
15.Solve x − 4 = −9
(a)x = 13
(b)x = −13
(c)x = −5
(d)x = 5

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