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.

VersionsA only A + B A + B + Csame questions, different order

AnswersQuestions only With answer key Key only

CalculatorMixed Non-calculator (Paper 1)Calculator (Papers 2 and 3)

New sheet

Linear equations worksheet — GCSE Foundation

Maths · GCSE Foundation · A17 · Linear equations · 15 questions

MathsUKwww.geekhero.co.uk

1.Solve 3(2x − 1) = 27
(a)4
(b)5
(c)4.5
(d)4 2/3
2.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
3.Solve 6x − 5 = 3x + 13.
(a)18
(b)2
(c)2.67
(d)6
4.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
5.Solve 4x + 3 = 19
(a)3.75
(b)5.5
(c)4
(d)4.75
6.Solve 3x + 14 = 8x − 6
(a)x = 15
(b)x = 2.5
(c)x = 4
(d)x = −1.6
7.Solve 7x − 5 = 3x + 11
(a)−4
(b)1.5
(c)0.6
(d)4
8.Solve 6x + 4 = 28
(a)x = 4
(b)x = 144
(c)x = 24
(d)x = 18
9.Solve x − 4 = −9
(a)x = 13
(b)x = −13
(c)x = −5
(d)x = 5
10.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
11.Solve 4(x − 3) = 2x + 6.
(a)4.5
(b)−3
(c)3
(d)9
12.Solve 3x − 5 = 4.
(a)9
(b)−1/3
(c)6
(d)3
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

Build your own mix at the worksheet builder.