Forming and Solving Equations worksheet
3 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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4 marks
Amara and Ben share 112 counters between them.
Ben gets 22 more counters than Amara.
Amara gets \(x\) counters.
(a)Write down an equation in terms of \(x\).
(b)Solve your equation to find the value of \(x\).
(c)Write down how many counters Ben gets.
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5 marks
Fitwell and Peak are two gyms.
Fitwell charges a joining fee of £50 and then £15 for each month of membership.
Peak charges a joining fee of £140 and then £9 for each month of membership.
(a)Find the number of months for which the total cost at Fitwell is the same as the total cost at Peak.
(b)Work out that total cost.
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4 marks
Sofia and Danny share 36 football cards between them.
Danny gets 8 more football cards than Sofia.
Sofia gets \(x\) football cards.
(a)Write down an equation in terms of \(x\).
(b)Solve your equation to find the value of \(x\).
(c)Write down how many football cards Danny gets.
Answers
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(a) \(2x + 22 = 112\)
(b) \(45\)
(c) \(67\) -
(a) \(15\ \text{months}\)
(b) \(\text{£}275\) -
(a) \(2x + 8 = 36\)
(b) \(14\)
(c) \(22\)