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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 598 · 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.Farhan’s mother is three times as old as Farhan. Their ages add up to 36 years. How old is Farhan?
  2. 2.Solve: y/7 + 11 = 16. What is y?
  3. 3.Solve: 8t − 13 = 19. What is t?
  4. 4.Solve: 8t − 11 = 45. What is t?
  5. 5.Solve: 4(n + 1) = 60. What is n?
  6. 6.Solve: 4(p + 1) = 48. What is p?
  7. 7.Solve: 8y − 9 = 31. What is y?
  8. 8.Solve: x/8 + 6 = 10. What is x?
  9. 9.Solve: 9(m + 3) = 45. What is m?
  10. 10.Solve: 2m − 1 = 13. What is m?
  11. 11.Solve: 2x + 3 = 27. What is x?
  12. 12.Sneha is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  13. 13.Aditya is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  14. 14.Solve: 9t − 24 = 3. What is t?
  15. 15.Solve: 9n + 25 = 124. What is n?
  16. 16.Solve: 9x + 14 = 95. What is x?
  17. 17.Solve: p/6 + 11 = 22. What is p?
  18. 18.Solve: 2(p + 7) = 26. What is p?
  19. 19.Solve: 6t − 31 = 59. What is t?
  20. 20.Solve: 7y + 12 = 89. What is y?
  21. 21.Solve: n/7 + 10 = 15. What is n?
  22. 22.Solve: 3t − 2 = 1. What is t?
  23. 23.Solve: 9(y + 9) = 108. What is y?
  24. 24.Solve: 8m − 23 = 1. What is m?
  25. 25.Solve: 5x − 3 = 2. What is x?
  26. 26.Solve: 2x − 3 = 9. What is x?
  27. 27.Solve: m/2 + 5 = 14. What is m?
  28. 28.Farhan’s mother is twice as old as Farhan. Their ages add up to 18 years. How old is Farhan?
  29. 29.Solve: 5t + 29 = 54. What is t?
  30. 30.Solve: 5y + 20 = 30. What is y?
  31. 31.Manav’s mother is three times as old as Manav. Their ages add up to 60 years. How old is Manav?
  32. 32.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 75 years. How old is Vivaan?
  33. 33.Solve: 7y − 35 = 35. What is y?
  34. 34.Solve: 9p + 16 = 34. What is p?
  35. 35.Solve: 2p + 12 = 18. What is p?
  36. 36.Aarav thinks of a number, multiplies it by 8 and then adds 29. The result is 117. What is the number?
  37. 37.Solve: 9t + 15 = 60. What is t?
  38. 38.Solve: 2t − 6 = 8. What is t?
  39. 39.Riya thinks of a number, multiplies it by 2 and then adds 18. The result is 30. What is the number?
  40. 40.Solve: 3n − 19 = 8. What is n?

Answer key

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

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