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Substitution

Quiz · Maths · Y7 Algebra · Year 7
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Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown.

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Level 1 · Warm-up

1 Find the value of n + 8 when n = 5. (as a number)
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5 + 8 = 13.
2 Find the value of 6k when k = 7. (as a number)
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6 × 7 = 42.
3 Find the value of 20 − p when p = 12. (as a number)
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20 − 12 = 8.

Level 2 · Core

4 Find the value of 4x + 3 when x = 9. (as a number)
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4 × 9 = 36, then 36 + 3 = 39.
5 Find the value of 5a − 2b when a = 6 and b = 4. (as a number)
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5 × 6 = 30 and 2 × 4 = 8, so 30 − 8 = 22.
6 Find the value of m/4 + 7 when m = 20. (as a number)
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20 ÷ 4 = 5, then 5 + 7 = 12.

Level 3 · Challenge

7 Find the value of 2x2 when x = 5. (as a number)
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5 × 5 = 25, then 2 × 25 = 50.
8 Find the value of 3(y + 6) when y = 4. (as a number)
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4 + 6 = 10, then 3 × 10 = 30.
9 The perimeter of a rectangle is given by P = 2l + 2w. Find P when l = 12 and w = 7. (as a number)
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2 × 12 = 24 and 2 × 7 = 14, so P = 24 + 14 = 38.