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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 572 · 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.Solve: 2x − 3 = 9. What is x?
  2. 2.Sneha’s mother is twice as old as Sneha. Their ages add up to 12 years. How old is Sneha?
  3. 3.Solve: 4m − 4 = 24. What is m?
  4. 4.Priya thinks of a number, multiplies it by 9 and then adds 30. The result is 75. What is the number?
  5. 5.Solve: 6x − 4 = 2. What is x?
  6. 6.Isha thinks of a number, multiplies it by 9 and then adds 28. The result is 154. What is the number?
  7. 7.Ishaan is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  8. 8.Solve: 4p + 7 = 27. What is p?
  9. 9.Solve: 2n − 26 = 2. What is n?
  10. 10.Isha’s mother is four times as old as Isha. Their ages add up to 35 years. How old is Isha?
  11. 11.Solve: 4x + 22 = 62. What is x?
  12. 12.Solve: n/5 + 12 = 23. What is n?
  13. 13.Solve: p/7 + 13 = 23. What is p?
  14. 14.Farhan is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  15. 15.Solve: x/6 + 2 = 9. What is x?
  16. 16.Nisha thinks of a number, multiplies it by 4 and then adds 4. The result is 28. What is the number?
  17. 17.Solve: 5x − 60 = 10. What is x?
  18. 18.Solve: x/8 + 19 = 28. What is x?
  19. 19.Solve: n/2 + 1 = 3. What is n?
  20. 20.Solve: 4x − 10 = 22. What is x?
  21. 21.Solve: 9m − 125 = 1. What is m?
  22. 22.Pooja thinks of a number, multiplies it by 4 and then adds 2. The result is 42. What is the number?
  23. 23.Solve: 2(t + 4) = 34. What is t?
  24. 24.Zoya is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  25. 25.Solve: 8(p + 4) = 128. What is p?
  26. 26.Lakshmi is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  27. 27.Solve: 6n + 6 = 30. What is n?
  28. 28.Meera’s mother is four times as old as Meera. Their ages add up to 20 years. How old is Meera?
  29. 29.Solve: 5t − 32 = 13. What is t?
  30. 30.Solve: 9(n + 7) = 108. What is n?
  31. 31.Solve: 8y + 5 = 61. What is y?
  32. 32.Solve: 4y − 36 = 20. What is y?
  33. 33.Isha’s mother is twice as old as Isha. Their ages add up to 15 years. How old is Isha?
  34. 34.Solve: 6m + 21 = 87. What is m?
  35. 35.Solve: 5t + 9 = 24. What is t?
  36. 36.Solve: 2(n + 9) = 42. What is n?
  37. 37.Solve: 3x + 17 = 47. What is x?
  38. 38.Solve: 4n + 19 = 71. What is n?
  39. 39.Solve: 5m − 47 = 8. What is m?
  40. 40.Rahul thinks of a number, multiplies it by 3 and then adds 17. The result is 29. What is the number?

Answer key

  1. 6
  2. 4
  3. 7
  4. 5
  5. 1
  6. 14
  7. 6
  8. 5
  9. 14
  10. 7
  11. 10
  12. 55
  13. 70
  14. 14
  15. 42
  16. 6
  17. 14
  18. 72
  19. 4
  20. 8
  21. 14
  22. 10
  23. 13
  24. 7
  25. 12
  26. 9
  27. 4
  28. 4
  29. 9
  30. 5
  31. 7
  32. 14
  33. 5
  34. 11
  35. 3
  36. 12
  37. 10
  38. 13
  39. 11
  40. 4

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