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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 512 · 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.Gurpreet is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  2. 2.Solve: 8(x + 8) = 128. What is x?
  3. 3.Isha thinks of a number, multiplies it by 3 and then adds 27. The result is 36. What is the number?
  4. 4.Solve: 4(x + 8) = 80. What is x?
  5. 5.Solve: p/4 + 10 = 25. What is p?
  6. 6.Solve: 5(x + 6) = 60. What is x?
  7. 7.Solve: t/5 + 8 = 16. What is t?
  8. 8.Solve: y/2 + 12 = 13. What is y?
  9. 9.Solve: 6y + 14 = 74. What is y?
  10. 10.Solve: 8t + 27 = 139. What is t?
  11. 11.Solve: m/5 + 13 = 15. What is m?
  12. 12.Solve: 2m + 13 = 35. What is m?
  13. 13.Priya thinks of a number, multiplies it by 5 and then adds 23. The result is 48. What is the number?
  14. 14.Solve: 8n − 7 = 1. What is n?
  15. 15.Solve: t/8 + 16 = 30. What is t?
  16. 16.Solve: 8(x + 7) = 112. What is x?
  17. 17.Solve: 8x − 47 = 33. What is x?
  18. 18.Solve: 4m − 5 = 3. What is m?
  19. 19.Solve: 7n − 3 = 4. What is n?
  20. 20.Solve: 2y + 17 = 43. What is y?
  21. 21.Solve: 5p + 18 = 23. What is p?
  22. 22.Solve: 7t − 1 = 41. What is t?
  23. 23.Solve: 5x − 34 = 21. What is x?
  24. 24.Zoya is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  25. 25.Arjun thinks of a number, multiplies it by 2 and then adds 25. The result is 33. What is the number?
  26. 26.Solve: 3(n + 5) = 45. What is n?
  27. 27.Solve: 5x + 24 = 84. What is x?
  28. 28.Solve: 5t + 2 = 47. What is t?
  29. 29.Solve: 6p − 1 = 23. What is p?
  30. 30.Solve: 7t − 6 = 8. What is t?
  31. 31.Solve: 4p − 28 = 4. What is p?
  32. 32.Solve: 7y − 3 = 18. What is y?
  33. 33.Solve: 8y − 61 = 19. What is y?
  34. 34.Solve: 4(x + 7) = 52. What is x?
  35. 35.Farhan’s mother is three times as old as Farhan. Their ages add up to 48 years. How old is Farhan?
  36. 36.Solve: 4y − 43 = 1. What is y?
  37. 37.Solve: 7m − 22 = 62. What is m?
  38. 38.Priya thinks of a number, multiplies it by 3 and then adds 5. The result is 23. What is the number?
  39. 39.Solve: 4p + 12 = 64. What is p?
  40. 40.Solve: 5p + 2 = 42. What is p?

Answer key

  1. 4
  2. 8
  3. 3
  4. 12
  5. 60
  6. 6
  7. 40
  8. 2
  9. 10
  10. 14
  11. 10
  12. 11
  13. 5
  14. 1
  15. 112
  16. 7
  17. 10
  18. 2
  19. 1
  20. 13
  21. 1
  22. 6
  23. 11
  24. 4
  25. 4
  26. 10
  27. 12
  28. 9
  29. 4
  30. 2
  31. 8
  32. 3
  33. 10
  34. 6
  35. 12
  36. 11
  37. 12
  38. 6
  39. 13
  40. 8

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