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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 848 · 40 sums
TalentJR

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 7 and then adds 19. The result is 75. What is the number?
  2. 2.Solve: 5x − 22 = 8. What is x?
  3. 3.Manav thinks of a number, multiplies it by 7 and then adds 18. The result is 39. What is the number?
  4. 4.Solve: x/6 + 5 = 19. What is x?
  5. 5.Solve: n/6 + 2 = 7. What is n?
  6. 6.Arjun thinks of a number, multiplies it by 5 and then adds 19. The result is 69. What is the number?
  7. 7.Solve: t/2 + 8 = 9. What is t?
  8. 8.Joseph is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  9. 9.Solve: 9x + 26 = 134. What is x?
  10. 10.Solve: 4t − 7 = 5. What is t?
  11. 11.Nisha is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  12. 12.Solve: 9n − 36 = 45. What is n?
  13. 13.Solve: 9m + 28 = 55. What is m?
  14. 14.Solve: p/4 + 17 = 28. What is p?
  15. 15.Solve: 3x + 15 = 60. What is x?
  16. 16.Ananya’s mother is four times as old as Ananya. Their ages add up to 75 years. How old is Ananya?
  17. 17.Dev is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  18. 18.Solve: 7m + 29 = 120. What is m?
  19. 19.Solve: 9t − 86 = 4. What is t?
  20. 20.Solve: p/5 + 10 = 24. What is p?
  21. 21.Solve: p/6 + 15 = 24. What is p?
  22. 22.Solve: 6y − 13 = 77. What is y?
  23. 23.Solve: y/5 + 11 = 19. What is y?
  24. 24.Solve: p/2 + 1 = 14. What is p?
  25. 25.Solve: t/4 + 17 = 32. What is t?
  26. 26.Saanvi thinks of a number, multiplies it by 4 and then adds 24. The result is 48. What is the number?
  27. 27.Ananya thinks of a number, multiplies it by 3 and then adds 23. The result is 32. What is the number?
  28. 28.Solve: n/8 + 2 = 9. What is n?
  29. 29.Solve: 3(t + 4) = 39. What is t?
  30. 30.Solve: x/4 + 12 = 19. What is x?
  31. 31.Solve: 8m + 3 = 123. What is m?
  32. 32.Solve: 2p + 1 = 7. What is p?
  33. 33.Solve: 3n + 8 = 11. What is n?
  34. 34.Solve: 4y − 13 = 27. What is y?
  35. 35.Solve: 2n + 13 = 37. What is n?
  36. 36.Solve: 8(p + 7) = 64. What is p?
  37. 37.Solve: 4p − 5 = 35. What is p?
  38. 38.Solve: 6x − 4 = 26. What is x?
  39. 39.Solve: 9n + 11 = 92. What is n?
  40. 40.Solve: t/5 + 16 = 19. What is t?

Answer key

  1. 8
  2. 6
  3. 3
  4. 84
  5. 30
  6. 10
  7. 2
  8. 9
  9. 12
  10. 3
  11. 11
  12. 9
  13. 3
  14. 44
  15. 15
  16. 15
  17. 5
  18. 13
  19. 10
  20. 70
  21. 54
  22. 15
  23. 40
  24. 26
  25. 60
  26. 6
  27. 3
  28. 56
  29. 9
  30. 28
  31. 15
  32. 3
  33. 1
  34. 10
  35. 12
  36. 1
  37. 10
  38. 5
  39. 9
  40. 15

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