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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 695 · 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: t/7 + 9 = 15. What is t?
  2. 2.Solve: 8(y + 1) = 96. What is y?
  3. 3.Solve: 8(x + 1) = 16. What is x?
  4. 4.Solve: m/2 + 7 = 17. What is m?
  5. 5.Manav thinks of a number, multiplies it by 3 and then adds 8. The result is 14. What is the number?
  6. 6.Pooja’s mother is twice as old as Pooja. Their ages add up to 21 years. How old is Pooja?
  7. 7.Zoya thinks of a number, multiplies it by 7 and then adds 7. The result is 56. What is the number?
  8. 8.Solve: 4p + 14 = 46. What is p?
  9. 9.Vivaan is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  10. 10.Solve: 4y − 45 = 7. What is y?
  11. 11.Solve: 5m + 14 = 89. What is m?
  12. 12.Meera’s mother is three times as old as Meera. Their ages add up to 60 years. How old is Meera?
  13. 13.Solve: t/6 + 12 = 23. What is t?
  14. 14.Solve: n/7 + 13 = 14. What is n?
  15. 15.Solve: 2x + 15 = 35. What is x?
  16. 16.Solve: x/6 + 11 = 17. What is x?
  17. 17.Solve: 9p + 21 = 84. What is p?
  18. 18.Solve: 5n + 14 = 29. What is n?
  19. 19.Solve: 4n + 7 = 27. What is n?
  20. 20.Solve: 4t − 26 = 2. What is t?
  21. 21.Solve: 9p − 1 = 17. What is p?
  22. 22.Solve: 7(m + 7) = 98. What is m?
  23. 23.Solve: x/7 + 12 = 14. What is x?
  24. 24.Solve: t/8 + 5 = 15. What is t?
  25. 25.Sneha thinks of a number, multiplies it by 6 and then adds 21. The result is 69. What is the number?
  26. 26.Solve: m/8 + 18 = 31. What is m?
  27. 27.Zoya thinks of a number, multiplies it by 5 and then adds 5. The result is 55. What is the number?
  28. 28.Solve: x/5 + 4 = 6. What is x?
  29. 29.Solve: t/6 + 17 = 23. What is t?
  30. 30.Solve: 3p + 9 = 51. What is p?
  31. 31.Kabir’s mother is four times as old as Kabir. Their ages add up to 75 years. How old is Kabir?
  32. 32.Solve: 8y + 6 = 14. What is y?
  33. 33.Ananya’s mother is three times as old as Ananya. Their ages add up to 60 years. How old is Ananya?
  34. 34.Solve: 4t + 25 = 37. What is t?
  35. 35.Solve: 7(y + 1) = 56. What is y?
  36. 36.Solve: t/2 + 17 = 23. What is t?
  37. 37.Solve: 5x − 22 = 8. What is x?
  38. 38.Tara is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  39. 39.Solve: 8t − 9 = 31. What is t?
  40. 40.Solve: t/2 + 17 = 19. What is t?

Answer key

  1. 42
  2. 11
  3. 1
  4. 20
  5. 2
  6. 7
  7. 7
  8. 8
  9. 15
  10. 13
  11. 15
  12. 15
  13. 66
  14. 7
  15. 10
  16. 36
  17. 7
  18. 3
  19. 5
  20. 7
  21. 2
  22. 7
  23. 14
  24. 80
  25. 8
  26. 104
  27. 10
  28. 10
  29. 36
  30. 14
  31. 15
  32. 1
  33. 15
  34. 3
  35. 7
  36. 12
  37. 6
  38. 11
  39. 5
  40. 4

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