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 3(2x − 1) = 27
(a)4
(b)5
(c)4.5
(d)4 2/3
2.Solve 4(x − 3) = 2x + 6.
(a)4.5
(b)−3
(c)3
(d)9
3.Solve 6x − 5 = 3x + 13.
(a)18
(b)2
(c)2.67
(d)6
4.Solve 3x − 1 = 8
(a)x = 9
(b)x = 6
(c)x = 27
(d)x = 3
5.Solve 2x + 1 = 9
(a)x = 8
(b)x = 16
(c)x = 4
(d)x = 5
6.Solve 2x − 2 = 2
(a)x = 2
(b)x = 8
(c)x = 0
(d)x = 4
7.Solve 4x − (2x − 6) = 18
(a)x = 6
(b)x = 3
(c)x = 12
(d)x = 24
8.Noah says that y = 3 is the solution of the equation y + 10 = 12. Noah is wrong. Work out the correct value of y.
(a)y = 22
(b)y = −2
(c)y = 2
(d)y = 12
9.Solve 3x − 5 = 4.
(a)9
(b)−1/3
(c)6
(d)3
10.Solve 2(x + 3) = 10
(a)x = 3.5
(b)x = 8
(c)x = 5
(d)x = 2
11.Solve 5x − 9 = 16
(a)1.4
(b)5
(c)25
(d)3.2
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 + 7 = x + 13
(a)x = 2
(b)x = 20
(c)x = −6
(d)x = 6
14.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
15.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

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