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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 801 · 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.Solve: 9n + 11 = 38. What is n?
  2. 2.Pooja’s mother is four times as old as Pooja. Their ages add up to 60 years. How old is Pooja?
  3. 3.Isha thinks of a number, multiplies it by 5 and then adds 24. The result is 44. What is the number?
  4. 4.Solve: 7(t + 6) = 112. What is t?
  5. 5.Dev’s mother is four times as old as Dev. Their ages add up to 20 years. How old is Dev?
  6. 6.Solve: 9(p + 9) = 180. What is p?
  7. 7.Solve: 3y + 22 = 49. What is y?
  8. 8.Solve: 9(x + 6) = 135. What is x?
  9. 9.Solve: 2t − 4 = 2. What is t?
  10. 10.Solve: 2t − 25 = 1. What is t?
  11. 11.Solve: 2n + 23 = 31. What is n?
  12. 12.Solve: 3m + 13 = 46. What is m?
  13. 13.Solve: 6t + 3 = 45. What is t?
  14. 14.Solve: t/7 + 9 = 24. What is t?
  15. 15.Solve: 3(p + 6) = 33. What is p?
  16. 16.Solve: 4t − 8 = 4. What is t?
  17. 17.Solve: 5p − 4 = 1. What is p?
  18. 18.Diya thinks of a number, multiplies it by 9 and then adds 18. The result is 36. What is the number?
  19. 19.Solve: p/3 + 6 = 10. What is p?
  20. 20.Kavya thinks of a number, multiplies it by 3 and then adds 18. The result is 51. What is the number?
  21. 21.Solve: m/4 + 6 = 9. What is m?
  22. 22.Solve: 4p − 34 = 14. What is p?
  23. 23.Solve: y/8 + 17 = 30. What is y?
  24. 24.Solve: 7p + 28 = 70. What is p?
  25. 25.Solve: y/2 + 18 = 26. What is y?
  26. 26.Farhan is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  27. 27.Solve: 9p − 45 = 54. What is p?
  28. 28.Solve: 7t − 2 = 40. What is t?
  29. 29.Solve: 8n + 18 = 90. What is n?
  30. 30.Solve: 8p + 27 = 123. What is p?
  31. 31.Solve: y/3 + 8 = 20. What is y?
  32. 32.Solve: 3t + 4 = 31. What is t?
  33. 33.Solve: 3p + 23 = 32. What is p?
  34. 34.Solve: 5n + 3 = 73. What is n?
  35. 35.Solve: 6n + 21 = 51. What is n?
  36. 36.Arjun is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  37. 37.Solve: 2(y + 2) = 10. What is y?
  38. 38.Solve: 5t − 19 = 31. What is t?
  39. 39.Solve: m/3 + 20 = 24. What is m?
  40. 40.Dev thinks of a number, multiplies it by 2 and then adds 30. The result is 48. What is the number?

Answer key

  1. 3
  2. 12
  3. 4
  4. 10
  5. 4
  6. 11
  7. 9
  8. 9
  9. 3
  10. 13
  11. 4
  12. 11
  13. 7
  14. 105
  15. 5
  16. 3
  17. 1
  18. 2
  19. 12
  20. 11
  21. 12
  22. 12
  23. 104
  24. 6
  25. 16
  26. 4
  27. 11
  28. 6
  29. 9
  30. 12
  31. 36
  32. 9
  33. 3
  34. 14
  35. 5
  36. 15
  37. 3
  38. 10
  39. 12
  40. 9

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