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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 832 · 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.Joseph thinks of a number, multiplies it by 9 and then adds 9. The result is 144. What is the number?
  2. 2.Solve: 8(n + 3) = 56. What is n?
  3. 3.Solve: 8t − 20 = 12. What is t?
  4. 4.Solve: p/9 + 19 = 21. What is p?
  5. 5.Solve: 9(x + 1) = 36. What is x?
  6. 6.Tara thinks of a number, multiplies it by 4 and then adds 1. The result is 5. What is the number?
  7. 7.Arjun is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  8. 8.Solve: 3(p + 1) = 48. What is p?
  9. 9.Saanvi is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  10. 10.Solve: 2(m + 1) = 12. What is m?
  11. 11.Solve: 5(p + 2) = 20. What is p?
  12. 12.Solve: n/9 + 1 = 13. What is n?
  13. 13.Solve: 9m − 21 = 15. What is m?
  14. 14.Solve: 8y + 21 = 109. What is y?
  15. 15.Solve: 2p + 30 = 34. What is p?
  16. 16.Solve: 7x − 62 = 1. What is x?
  17. 17.Solve: t/8 + 16 = 19. What is t?
  18. 18.Solve: t/2 + 10 = 22. What is t?
  19. 19.Meera thinks of a number, multiplies it by 8 and then adds 21. The result is 133. What is the number?
  20. 20.Aditya thinks of a number, multiplies it by 7 and then adds 10. The result is 45. What is the number?
  21. 21.Solve: 5m + 15 = 55. What is m?
  22. 22.Solve: m/8 + 6 = 14. What is m?
  23. 23.Solve: 9(t + 9) = 180. What is t?
  24. 24.Solve: 5n + 30 = 40. What is n?
  25. 25.Solve: 3(y + 7) = 45. What is y?
  26. 26.Solve: 8(x + 6) = 64. What is x?
  27. 27.Sneha thinks of a number, multiplies it by 2 and then adds 22. The result is 28. What is the number?
  28. 28.Solve: n/4 + 4 = 18. What is n?
  29. 29.Solve: m/5 + 16 = 30. What is m?
  30. 30.Lakshmi thinks of a number, multiplies it by 9 and then adds 13. The result is 148. What is the number?
  31. 31.Solve: 9x − 78 = 21. What is x?
  32. 32.Solve: 5x − 9 = 1. What is x?
  33. 33.Dev’s mother is twice as old as Dev. Their ages add up to 36 years. How old is Dev?
  34. 34.Ananya thinks of a number, multiplies it by 2 and then adds 23. The result is 47. What is the number?
  35. 35.Solve: 7y + 27 = 118. What is y?
  36. 36.Solve: 5n + 12 = 22. What is n?
  37. 37.Karan thinks of a number, multiplies it by 5 and then adds 30. The result is 90. What is the number?
  38. 38.Isha thinks of a number, multiplies it by 5 and then adds 19. The result is 79. What is the number?
  39. 39.Solve: n/5 + 20 = 21. What is n?
  40. 40.Solve: 9(x + 3) = 36. What is x?

Answer key

  1. 15
  2. 4
  3. 4
  4. 18
  5. 3
  6. 1
  7. 5
  8. 15
  9. 8
  10. 5
  11. 2
  12. 108
  13. 4
  14. 11
  15. 2
  16. 9
  17. 24
  18. 24
  19. 14
  20. 5
  21. 8
  22. 64
  23. 11
  24. 2
  25. 8
  26. 2
  27. 3
  28. 56
  29. 70
  30. 15
  31. 11
  32. 2
  33. 12
  34. 12
  35. 13
  36. 2
  37. 12
  38. 12
  39. 5
  40. 1

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