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 7x − 5 = 3x + 11
(a)−4
(b)1.5
(c)0.6
(d)4
2.Solve 4x + 3 = 19
(a)3.75
(b)5.5
(c)4
(d)4.75
3.Solve 5x − 9 = 16
(a)1.4
(b)5
(c)25
(d)3.2
4.Solve 4(x − 3) = 2x + 6.
(a)4.5
(b)−3
(c)3
(d)9
5.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
6.Solve (3x + 2)/5 = (x + 4)/3
(a)x = 3.5
(b)x = 4.5
(c)x = 10
(d)x = 1
7.Solve x/4 + 1 = 3
(a)x = 16
(b)x = 8
(c)x = 0.5
(d)x = 2
8.Solve 2(x + 3) = 10
(a)x = 3.5
(b)x = 8
(c)x = 5
(d)x = 2
9.Solve 6x − 5 = 3x + 13.
(a)18
(b)2
(c)2.67
(d)6
10.Solve 4x − (2x − 6) = 18
(a)x = 6
(b)x = 3
(c)x = 12
(d)x = 24
11.A school trip costs a £15 deposit plus £9 per student for the coach. The total cost for a class is £186. Work out how many students went on the trip.
(a)22.33
(b)20.67
(c)19
(d)11.8
12.Which of these equations is equivalent to 5x − 2 = 3x + 8?
(a)8x = 6
(b)2x = 6
(c)2x = −10
(d)2x = 10
13.Solve 2x − 2 = 2
(a)x = 2
(b)x = 8
(c)x = 0
(d)x = 4
14.A plumber charges a £35 call-out fee plus £20 for each hour worked, h. On a certain job the total charge was £115. Work out how many hours the plumber worked.
(a)4
(b)7.5
(c)5.75
(d)2.71
15.Solve 3(2x − 1) = 27
(a)4
(b)5
(c)4.5
(d)4 2/3

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