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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 758 · 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: 9p − 24 = 75. What is p?
  2. 2.Solve: 8y − 19 = 5. What is y?
  3. 3.Solve: 5x + 23 = 88. What is x?
  4. 4.Solve: 4t + 24 = 40. What is t?
  5. 5.Solve: 3t + 1 = 16. What is t?
  6. 6.Solve: 8y − 28 = 28. What is y?
  7. 7.Solve: 9m − 25 = 2. What is m?
  8. 8.Solve: 4n − 44 = 4. What is n?
  9. 9.Solve: 6t − 20 = 22. What is t?
  10. 10.Aditya is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  11. 11.Solve: 8n − 11 = 13. What is n?
  12. 12.Solve: 3t − 2 = 1. What is t?
  13. 13.Aarav’s mother is three times as old as Aarav. Their ages add up to 24 years. How old is Aarav?
  14. 14.Solve: 8x − 15 = 25. What is x?
  15. 15.Rahul’s mother is three times as old as Rahul. Their ages add up to 24 years. How old is Rahul?
  16. 16.Solve: 8x − 25 = 87. What is x?
  17. 17.Solve: n/2 + 20 = 23. What is n?
  18. 18.Diya’s mother is three times as old as Diya. Their ages add up to 52 years. How old is Diya?
  19. 19.Solve: 8(p + 3) = 80. What is p?
  20. 20.Solve: 3y + 11 = 23. What is y?
  21. 21.Joseph thinks of a number, multiplies it by 2 and then adds 25. The result is 33. What is the number?
  22. 22.Joseph thinks of a number, multiplies it by 2 and then adds 20. The result is 42. What is the number?
  23. 23.Isha’s mother is four times as old as Isha. Their ages add up to 35 years. How old is Isha?
  24. 24.Solve: 2p − 1 = 1. What is p?
  25. 25.Ananya thinks of a number, multiplies it by 9 and then adds 26. The result is 143. What is the number?
  26. 26.Pooja is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  27. 27.Solve: t/2 + 4 = 8. What is t?
  28. 28.Solve: 8(t + 3) = 64. What is t?
  29. 29.Solve: n/4 + 3 = 8. What is n?
  30. 30.Solve: m/6 + 2 = 3. What is m?
  31. 31.Solve: 8t − 17 = 47. What is t?
  32. 32.Solve: 3(m + 1) = 21. What is m?
  33. 33.Solve: 3(t + 8) = 42. What is t?
  34. 34.Ananya thinks of a number, multiplies it by 5 and then adds 19. The result is 74. What is the number?
  35. 35.Solve: 6m + 9 = 39. What is m?
  36. 36.Solve: 6p + 14 = 74. What is p?
  37. 37.Solve: 5n − 2 = 28. What is n?
  38. 38.Solve: 5t − 35 = 5. What is t?
  39. 39.Lakshmi thinks of a number, multiplies it by 7 and then adds 3. The result is 38. What is the number?
  40. 40.Solve: 3x + 13 = 34. What is x?

Answer key

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

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