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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 528 · 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: 9n − 24 = 3. What is n?
  2. 2.Tara’s mother is three times as old as Tara. Their ages add up to 24 years. How old is Tara?
  3. 3.Rohan is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  4. 4.Solve: 4y − 18 = 22. What is y?
  5. 5.Solve: 6p − 13 = 5. What is p?
  6. 6.Solve: 6m − 10 = 8. What is m?
  7. 7.Solve: n/6 + 17 = 22. What is n?
  8. 8.Solve: m/9 + 10 = 19. What is m?
  9. 9.Solve: 3t − 3 = 39. What is t?
  10. 10.Solve: 2m − 6 = 6. What is m?
  11. 11.Farhan’s mother is four times as old as Farhan. Their ages add up to 40 years. How old is Farhan?
  12. 12.Gurpreet thinks of a number, multiplies it by 3 and then adds 4. The result is 10. What is the number?
  13. 13.Kabir’s mother is four times as old as Kabir. Their ages add up to 35 years. How old is Kabir?
  14. 14.Solve: 5t + 26 = 76. What is t?
  15. 15.Solve: 3x − 8 = 25. What is x?
  16. 16.Solve: 3(y + 8) = 66. What is y?
  17. 17.Ishaan thinks of a number, multiplies it by 9 and then adds 7. The result is 115. What is the number?
  18. 18.Solve: 6t − 22 = 38. What is t?
  19. 19.Ananya is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  20. 20.Solve: 3(y + 6) = 42. What is y?
  21. 21.Vivaan thinks of a number, multiplies it by 2 and then adds 19. The result is 41. What is the number?
  22. 22.Solve: 4(p + 2) = 48. What is p?
  23. 23.Solve: 9(y + 2) = 144. What is y?
  24. 24.Pooja’s mother is three times as old as Pooja. Their ages add up to 40 years. How old is Pooja?
  25. 25.Arjun is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  26. 26.Solve: p/2 + 1 = 11. What is p?
  27. 27.Solve: 3(x + 3) = 51. What is x?
  28. 28.Solve: 3y − 18 = 15. What is y?
  29. 29.Zoya thinks of a number, multiplies it by 8 and then adds 9. The result is 97. What is the number?
  30. 30.Solve: 3y + 2 = 38. What is y?
  31. 31.Solve: y/5 + 9 = 19. What is y?
  32. 32.Solve: 3p − 1 = 2. What is p?
  33. 33.Dev is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  34. 34.Solve: 6(t + 8) = 108. What is t?
  35. 35.Aarav thinks of a number, multiplies it by 9 and then adds 3. The result is 93. What is the number?
  36. 36.Solve: 9(p + 8) = 180. What is p?
  37. 37.Solve: 2p + 9 = 39. What is p?
  38. 38.Solve: m/5 + 2 = 12. What is m?
  39. 39.Manav is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  40. 40.Solve: 3n + 24 = 30. What is n?

Answer key

  1. 3
  2. 6
  3. 15
  4. 10
  5. 3
  6. 3
  7. 30
  8. 81
  9. 14
  10. 6
  11. 8
  12. 2
  13. 7
  14. 10
  15. 11
  16. 14
  17. 12
  18. 10
  19. 7
  20. 8
  21. 11
  22. 10
  23. 14
  24. 10
  25. 5
  26. 20
  27. 14
  28. 11
  29. 11
  30. 12
  31. 50
  32. 1
  33. 7
  34. 10
  35. 10
  36. 12
  37. 15
  38. 50
  39. 5
  40. 2

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