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.To solve 5x − 4 = 2x + 8, Chloe's working is shown. Line 1: 5x − 4 = 2x + 8. Line 2: 3x − 4 = 8. Line 3: 3x = 4. Line 4: x = 4/3. Chloe has made a mistake in her working. Which line contains the mistake?
(a)Line 1
(b)Line 2
(c)Line 4
(d)Line 3
2.Solve 5(x + 3) = 40
(a)x = 8
(b)x = 11
(c)x = 7.4
(d)x = 5
3.Solve x/4 + 1 = 3
(a)x = 16
(b)x = 8
(c)x = 0.5
(d)x = 2
4.Solve 5x + 2 = 17.
(a)3
(b)3.8
(c)15
(d)1.4
5.Solve 6x − 5 = 3x + 13.
(a)18
(b)2
(c)2.67
(d)6
6.Solve x − 4 = −9
(a)x = 13
(b)x = −13
(c)x = −5
(d)x = 5
7.Solve 4x + 3 = 19
(a)3.75
(b)5.5
(c)4
(d)4.75
8.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
9.Solve (2x + 1)/3 = 5
(a)7
(b)14
(c)8
(d)2
10.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
11.Solve 2(x + 3) = 10
(a)x = 3.5
(b)x = 8
(c)x = 5
(d)x = 2
12.Solve 6x + 4 = 28
(a)x = 4
(b)x = 144
(c)x = 24
(d)x = 18
13.Solve 5x − 9 = 16
(a)1.4
(b)5
(c)25
(d)3.2
14.Solve 2x − 2 = 2
(a)x = 2
(b)x = 8
(c)x = 0
(d)x = 4
15.Solve 3x + 14 = 8x − 6
(a)x = 15
(b)x = 2.5
(c)x = 4
(d)x = −1.6

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