AQA · Mathematics · 8300
GCSE Maths: Equations: forming
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Equations: forming (Corbettmaths Video 115), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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If you think of a number x, multiply by 3, then add 5 to get 29, what equation represents this?
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3x + 5 = 29
If Daisy is 2 years older than Gregory (x years old) and their ages sum to 40, what equation represents this?
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x + (x + 2) = 40, which simplifies to 2x + 2 = 40
If Jenny is twice as old as Michael (x years old) and their ages sum to 57, what equation represents this?
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x + 2x = 57, which simplifies to 3x = 57
If a rectangular field is 7 metres longer than wide (width x), what expression represents the perimeter?
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2x + 2(x + 7) or simplified: 4x + 14
Three consecutive numbers can be represented as x, x + 1, and ?.
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x + 2
If the sum of three consecutive numbers is 51, what equation in x represents this?
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x + (x + 1) + (x + 2) = 51, which simplifies to 3x + 3 = 51
If a child ticket costs £x and three child tickets plus five adult tickets at £9 each cost £63, what equation represents this?
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3x + 5(9) = 63 or 3x + 45 = 63
If James has x pence, Hannah has 5 pence more, and Liam has 2 pence less, and their total is 75 pence, what equation represents this?
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x + (x + 5) + (x - 2) = 75, which simplifies to 3x + 3 = 75
If a rectangle has width x cm and length 2x + 3 cm, what expression represents its perimeter?
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2x + 2(2x + 3) or simplified: 6x + 6
If a table costs £15 more than a chair (£x) and together they cost £335, what equation represents this?
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x + (x + 15) = 335, which simplifies to 2x + 15 = 335
For a rectangle with opposite sides 5x + 3 and 3x + 9, why does 5x + 3 = 3x + 9?
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Opposite sides of a rectangle are equal in length.
If there are three times as many yellow sweets as blue sweets (x), what expression represents the number of yellow sweets?
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3x
If a sandwich costs 75p more than a drink, and 14 sandwiches plus 9 drinks cost £91, what equation represents the total cost (letting d = drink cost in pounds)?
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14(d + 0.75) + 9d = 91
What property of an isosceles triangle justifies setting two side expressions equal to each other?
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An isosceles triangle has two sides of equal length, so expressions for those two equal sides can be set equal.
If BC = 3AB in a parallelogram, and AB = a, what is the perimeter of the parallelogram in terms of a?
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8a (because the perimeter is 2AB + 2BC = 2a + 2(3a) = 2a + 6a = 8a)
If Desmond ran x km on Monday, 3 km less on Tuesday, and 4 times Monday's distance on Wednesday, what expression represents his total distance over three days?
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x + (x − 3) + 4x = 6x − 3
If the mean of three values is 16, what is the sum of those three values?
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48 (because mean = sum ÷ count, so sum = mean × count = 16 × 3 = 48)
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