Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 854 · 40 sums

The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

1. 1.Solve: 9m + 4 = 85. What is m?
2. 2.Solve: 8n − 39 = 1. What is n?
3. 3.Solve: 8(t + 3) = 72. What is t?
4. 4.Solve: 5m − 1 = 29. What is m?
5. 5.Solve: 3y + 27 = 45. What is y?
6. 6.Solve: 2(t + 2) = 22. What is t?
7. 7.Ishaan is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
8. 8.Solve: 6n − 24 = 12. What is n?
9. 9.Diya is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
10. 10.Solve: 9n − 35 = 1. What is n?
11. 11.Isha’s mother is three times as old as Isha. Their ages add up to 44 years. How old is Isha?
12. 12.Kavya thinks of a number, multiplies it by 2 and then adds 5. The result is 31. What is the number?
13. 13.Solve: 3t − 27 = 15. What is t?
14. 14.Solve: 2p + 21 = 35. What is p?
15. 15.Solve: 5(t + 4) = 40. What is t?
16. 16.Solve: x/4 + 15 = 24. What is x?
17. 17.Solve: 3t − 6 = 6. What is t?
18. 18.Solve: t/2 + 2 = 10. What is t?
19. 19.Solve: m/6 + 12 = 26. What is m?
20. 20.Solve: 8t − 3 = 29. What is t?
21. 21.Nisha thinks of a number, multiplies it by 9 and then adds 8. The result is 107. What is the number?
22. 22.Arjun thinks of a number, multiplies it by 2 and then adds 18. The result is 26. What is the number?
23. 23.Solve: 7p + 12 = 47. What is p?
24. 24.Solve: 8m + 11 = 35. What is m?
25. 25.Solve: 6m + 15 = 21. What is m?
26. 26.Solve: 4y − 11 = 49. What is y?
27. 27.Kabir’s mother is twice as old as Kabir. Their ages add up to 30 years. How old is Kabir?
28. 28.Solve: 8t + 25 = 113. What is t?
29. 29.Solve: 2(t + 1) = 22. What is t?
30. 30.Solve: 3(n + 1) = 15. What is n?
31. 31.Solve: 4t − 1 = 3. What is t?
32. 32.Solve: 7(n + 8) = 91. What is n?
33. 33.Solve: 5x − 20 = 35. What is x?
34. 34.Solve: x/4 + 5 = 16. What is x?
35. 35.Pooja thinks of a number, multiplies it by 6 and then adds 9. The result is 15. What is the number?
36. 36.Solve: 4n + 4 = 56. What is n?
37. 37.Solve: t/7 + 15 = 25. What is t?
38. 38.Lakshmi thinks of a number, multiplies it by 5 and then adds 5. The result is 15. What is the number?
39. 39.Diya’s mother is twice as old as Diya. Their ages add up to 39 years. How old is Diya?
40. 40.Solve: t/3 + 1 = 3. What is t?

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