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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 117 · 40 sums
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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.

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  1. 1.Rahul thinks of a number, multiplies it by 8 and then adds 24. The result is 72. What is the number?
  2. 2.Solve: 7x − 1 = 13. What is x?
  3. 3.Solve: 7(n + 9) = 77. What is n?
  4. 4.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 48 years. How old is Saanvi?
  5. 5.Solve: 3m − 7 = 26. What is m?
  6. 6.Priya thinks of a number, multiplies it by 3 and then adds 9. The result is 24. What is the number?
  7. 7.Joseph thinks of a number, multiplies it by 5 and then adds 27. The result is 97. What is the number?
  8. 8.Lakshmi thinks of a number, multiplies it by 2 and then adds 25. The result is 31. What is the number?
  9. 9.Joseph is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  10. 10.Solve: 3(p + 4) = 18. What is p?
  11. 11.Solve: 2(t + 8) = 20. What is t?
  12. 12.Meera’s mother is twice as old as Meera. Their ages add up to 21 years. How old is Meera?
  13. 13.Solve: 2(x + 1) = 4. What is x?
  14. 14.Solve: y/4 + 17 = 28. What is y?
  15. 15.Solve: 8m + 13 = 53. What is m?
  16. 16.Solve: 2y + 8 = 12. What is y?
  17. 17.Solve: 5p + 11 = 61. What is p?
  18. 18.Arjun’s mother is twice as old as Arjun. Their ages add up to 18 years. How old is Arjun?
  19. 19.Solve: 6n + 5 = 77. What is n?
  20. 20.Solve: 3(y + 5) = 42. What is y?
  21. 21.Solve: 9p + 27 = 63. What is p?
  22. 22.Diya is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  23. 23.Solve: n/7 + 3 = 16. What is n?
  24. 24.Solve: m/6 + 3 = 14. What is m?
  25. 25.Solve: 7n − 58 = 12. What is n?
  26. 26.Solve: 8(m + 3) = 64. What is m?
  27. 27.Solve: n/8 + 1 = 10. What is n?
  28. 28.Lakshmi thinks of a number, multiplies it by 9 and then adds 5. The result is 95. What is the number?
  29. 29.Solve: 2n + 2 = 26. What is n?
  30. 30.Solve: 4(p + 8) = 48. What is p?
  31. 31.Manav thinks of a number, multiplies it by 3 and then adds 23. The result is 26. What is the number?
  32. 32.Kabir thinks of a number, multiplies it by 6 and then adds 8. The result is 44. What is the number?
  33. 33.Dev’s mother is four times as old as Dev. Their ages add up to 70 years. How old is Dev?
  34. 34.Solve: 8x − 3 = 13. What is x?
  35. 35.Solve: 2m − 8 = 22. What is m?
  36. 36.Solve: y/2 + 4 = 8. What is y?
  37. 37.Solve: 2(n + 3) = 30. What is n?
  38. 38.Solve: 2t − 4 = 22. What is t?
  39. 39.Solve: 4y + 17 = 21. What is y?
  40. 40.Solve: p/7 + 15 = 24. What is p?

Answer key

  1. 6
  2. 2
  3. 2
  4. 12
  5. 11
  6. 5
  7. 14
  8. 3
  9. 9
  10. 2
  11. 2
  12. 7
  13. 1
  14. 44
  15. 5
  16. 2
  17. 10
  18. 6
  19. 12
  20. 9
  21. 4
  22. 5
  23. 91
  24. 66
  25. 10
  26. 5
  27. 72
  28. 10
  29. 12
  30. 4
  31. 1
  32. 6
  33. 14
  34. 2
  35. 15
  36. 8
  37. 12
  38. 13
  39. 1
  40. 63

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