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What an Equation Is

Quiz · Maths · Y7 Equations · 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. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.

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Level 1 · Warm-up

1 Is 3x + 5 an expression or an equation? Type: expression / equation
Show worked solution
No equals sign, so it is an expression.
2 Solve x + 4 = 9. Type the number only.
Show worked solution
Subtract 4 from both sides: x = 5. Check: 5 + 4 = 9.
3 Solve y − 3 = 6. Type the number only.
Show worked solution
Add 3 to both sides: y = 9. Check: 9 − 3 = 6.

Level 2 · Core

4 Solve 4a = 24. Type the number only.
Show worked solution
Divide both sides by 4: a = 6. Check: 4 × 6 = 24.
5 Solve m + 11 = 20. Type the number only.
Show worked solution
Subtract 11 from both sides: m = 9.
6 Check whether x = 7 solves x + 5 = 13.
Show worked solution
7 + 5 = 12, not 13, so no — the solution is 8.

Level 3 · Challenge

7 Solve 6k = 54. Type the number only.
Show worked solution
Divide both sides by 6: k = 9. Check: 6 × 9 = 54.
8 A number plus 12 equals 30. Write this as an equation using n, then solve it. Type the value of n only.
Show worked solution
n + 12 = 30, so subtract 12: n = 18.
9 Which value solves both x + 2 = 7 and 5x = 25? Type the number only.
Show worked solution
The first gives x = 5 and the second gives x = 5, so 5 solves both.