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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 46 · 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.Isha thinks of a number, multiplies it by 2 and then adds 24. The result is 26. What is the number?
  2. 2.Solve: 8n + 2 = 34. What is n?
  3. 3.Solve: 9m + 24 = 114. What is m?
  4. 4.Solve: 4m + 8 = 16. What is m?
  5. 5.Farhan thinks of a number, multiplies it by 6 and then adds 29. The result is 113. What is the number?
  6. 6.Solve: 5(p + 6) = 70. What is p?
  7. 7.Solve: 9(y + 8) = 171. What is y?
  8. 8.Solve: t/2 + 14 = 15. What is t?
  9. 9.Solve: 2y + 1 = 13. What is y?
  10. 10.Solve: 7n − 43 = 48. What is n?
  11. 11.Solve: 6n + 10 = 58. What is n?
  12. 12.Aarav is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  13. 13.Aditya thinks of a number, multiplies it by 2 and then adds 24. The result is 26. What is the number?
  14. 14.Solve: x/3 + 17 = 24. What is x?
  15. 15.Rahul thinks of a number, multiplies it by 6 and then adds 16. The result is 82. What is the number?
  16. 16.Solve: y/3 + 13 = 18. What is y?
  17. 17.Solve: n/8 + 7 = 12. What is n?
  18. 18.Solve: p/8 + 16 = 23. What is p?
  19. 19.Solve: n/4 + 9 = 19. What is n?
  20. 20.Solve: 3t − 1 = 32. What is t?
  21. 21.Meera thinks of a number, multiplies it by 7 and then adds 7. The result is 42. What is the number?
  22. 22.Solve: 8n + 8 = 64. What is n?
  23. 23.Solve: 2p − 9 = 19. What is p?
  24. 24.Solve: t/5 + 5 = 6. What is t?
  25. 25.Riya thinks of a number, multiplies it by 5 and then adds 2. The result is 47. What is the number?
  26. 26.Solve: 3m + 19 = 52. What is m?
  27. 27.Nisha is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  28. 28.Solve: n/7 + 5 = 14. What is n?
  29. 29.Riya’s mother is four times as old as Riya. Their ages add up to 35 years. How old is Riya?
  30. 30.Priya’s mother is twice as old as Priya. Their ages add up to 39 years. How old is Priya?
  31. 31.Solve: p/3 + 10 = 18. What is p?
  32. 32.Solve: x/8 + 3 = 11. What is x?
  33. 33.Solve: 9t + 21 = 75. What is t?
  34. 34.Solve: 6(y + 1) = 18. What is y?
  35. 35.Solve: p/7 + 9 = 16. What is p?
  36. 36.Solve: 4t + 15 = 31. What is t?
  37. 37.Solve: 8t + 11 = 35. What is t?
  38. 38.Meera’s mother is four times as old as Meera. Their ages add up to 70 years. How old is Meera?
  39. 39.Solve: 3p + 2 = 32. What is p?
  40. 40.Solve: 8y − 1 = 7. What is y?

Answer key

  1. 1
  2. 4
  3. 10
  4. 2
  5. 14
  6. 8
  7. 11
  8. 2
  9. 6
  10. 13
  11. 8
  12. 13
  13. 1
  14. 21
  15. 11
  16. 15
  17. 40
  18. 56
  19. 40
  20. 11
  21. 5
  22. 7
  23. 14
  24. 5
  25. 9
  26. 11
  27. 6
  28. 63
  29. 7
  30. 13
  31. 24
  32. 64
  33. 6
  34. 2
  35. 49
  36. 4
  37. 3
  38. 14
  39. 10
  40. 1

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