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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 575 · 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: 9y + 4 = 58. What is y?
  2. 2.Solve: 5m + 30 = 70. What is m?
  3. 3.Solve: p/9 + 7 = 18. What is p?
  4. 4.Solve: t/6 + 3 = 11. What is t?
  5. 5.Vivaan thinks of a number, multiplies it by 8 and then adds 17. The result is 89. What is the number?
  6. 6.Solve: 7(p + 1) = 42. What is p?
  7. 7.Solve: 4p + 2 = 62. What is p?
  8. 8.Solve: 3(t + 7) = 63. What is t?
  9. 9.Solve: 9y − 15 = 21. What is y?
  10. 10.Karan thinks of a number, multiplies it by 3 and then adds 19. The result is 49. What is the number?
  11. 11.Gurpreet thinks of a number, multiplies it by 6 and then adds 19. The result is 103. What is the number?
  12. 12.Solve: m/4 + 16 = 29. What is m?
  13. 13.Karan’s mother is four times as old as Karan. Their ages add up to 45 years. How old is Karan?
  14. 14.Solve: 3(x + 9) = 51. What is x?
  15. 15.Arjun thinks of a number, multiplies it by 7 and then adds 2. The result is 58. What is the number?
  16. 16.Solve: 4y − 30 = 2. What is y?
  17. 17.Solve: 8p − 63 = 17. What is p?
  18. 18.Solve: 9p − 61 = 47. What is p?
  19. 19.Solve: 7p − 1 = 13. What is p?
  20. 20.Solve: 5m + 16 = 21. What is m?
  21. 21.Pooja thinks of a number, multiplies it by 8 and then adds 20. The result is 44. What is the number?
  22. 22.Solve: 6y + 13 = 67. What is y?
  23. 23.Solve: 2p + 13 = 39. What is p?
  24. 24.Solve: 5t + 4 = 44. What is t?
  25. 25.Saanvi is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  26. 26.Solve: 3(y + 1) = 33. What is y?
  27. 27.Solve: y/3 + 1 = 5. What is y?
  28. 28.Kabir is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  29. 29.Priya thinks of a number, multiplies it by 7 and then adds 13. The result is 111. What is the number?
  30. 30.Solve: 2(n + 5) = 22. What is n?
  31. 31.Solve: n/5 + 17 = 19. What is n?
  32. 32.Solve: p/9 + 11 = 19. What is p?
  33. 33.Solve: 8t − 91 = 13. What is t?
  34. 34.Solve: 3(n + 3) = 27. What is n?
  35. 35.Diya thinks of a number, multiplies it by 6 and then adds 27. The result is 93. What is the number?
  36. 36.Solve: n/4 + 17 = 24. What is n?
  37. 37.Solve: 2x + 13 = 27. What is x?
  38. 38.Manav thinks of a number, multiplies it by 7 and then adds 21. The result is 112. What is the number?
  39. 39.Dev is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  40. 40.Solve: x/9 + 16 = 28. What is x?

Answer key

  1. 6
  2. 8
  3. 99
  4. 48
  5. 9
  6. 5
  7. 15
  8. 14
  9. 4
  10. 10
  11. 14
  12. 52
  13. 9
  14. 8
  15. 8
  16. 8
  17. 10
  18. 12
  19. 2
  20. 1
  21. 3
  22. 9
  23. 13
  24. 8
  25. 10
  26. 10
  27. 12
  28. 6
  29. 14
  30. 6
  31. 10
  32. 72
  33. 13
  34. 6
  35. 11
  36. 28
  37. 7
  38. 13
  39. 9
  40. 108

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