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 5x − 9 = 16
(a)1.4
(b)5
(c)25
(d)3.2
2.Solve 2x + 7 = x + 13
(a)x = 2
(b)x = 20
(c)x = −6
(d)x = 6
3.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
4.Solve 4x − (2x − 6) = 18
(a)x = 6
(b)x = 3
(c)x = 12
(d)x = 24
5.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
6.Solve 4x + 3 = 19
(a)3.75
(b)5.5
(c)4
(d)4.75
7.Solve 5(x + 3) = 40
(a)x = 8
(b)x = 11
(c)x = 7.4
(d)x = 5
8.Solve x − 4 = −9
(a)x = 13
(b)x = −13
(c)x = −5
(d)x = 5
9.Solve 2x + 1 = 9
(a)x = 8
(b)x = 16
(c)x = 4
(d)x = 5
10.Solve 6x − 5 = 3x + 13.
(a)18
(b)2
(c)2.67
(d)6
11.Solve 3x − 1 = 8
(a)x = 9
(b)x = 6
(c)x = 27
(d)x = 3
12.Solve 7x − 5 = 3x + 11
(a)−4
(b)1.5
(c)0.6
(d)4
13.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
14.A taxi company charges a £2.50 booking fee plus £1.80 per mile. A journey costs £15.10 in total. Work out the number of miles travelled.
(a)9.78
(b)8.39
(c)5.32
(d)7
15.Solve x/4 + 1 = 3
(a)x = 16
(b)x = 8
(c)x = 0.5
(d)x = 2

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