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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 574 · 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.Nisha’s mother is three times as old as Nisha. Their ages add up to 40 years. How old is Nisha?
  2. 2.Solve: 9(n + 8) = 99. What is n?
  3. 3.Solve: 5x − 13 = 47. What is x?
  4. 4.Solve: 4m − 1 = 3. What is m?
  5. 5.Solve: 5m + 7 = 27. What is m?
  6. 6.Solve: x/6 + 9 = 11. What is x?
  7. 7.Solve: 3(t + 8) = 36. What is t?
  8. 8.Solve: 2t − 4 = 2. What is t?
  9. 9.Solve: 2(x + 2) = 14. What is x?
  10. 10.Nisha’s mother is four times as old as Nisha. Their ages add up to 60 years. How old is Nisha?
  11. 11.Pooja is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  12. 12.Solve: 9y + 8 = 125. What is y?
  13. 13.Solve: 2p + 15 = 45. What is p?
  14. 14.Kabir’s mother is twice as old as Kabir. Their ages add up to 39 years. How old is Kabir?
  15. 15.Solve: 9x − 23 = 13. What is x?
  16. 16.Solve: 5y − 38 = 22. What is y?
  17. 17.Solve: 3p + 12 = 18. What is p?
  18. 18.Solve: 9x − 81 = 27. What is x?
  19. 19.Solve: 2y − 6 = 6. What is y?
  20. 20.Tara’s mother is twice as old as Tara. Their ages add up to 30 years. How old is Tara?
  21. 21.Solve: 7(t + 3) = 105. What is t?
  22. 22.Solve: 2y + 2 = 18. What is y?
  23. 23.Solve: 9(y + 9) = 216. What is y?
  24. 24.Solve: 8(t + 6) = 56. What is t?
  25. 25.Solve: t/2 + 10 = 22. What is t?
  26. 26.Gurpreet is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  27. 27.Nisha thinks of a number, multiplies it by 4 and then adds 3. The result is 51. What is the number?
  28. 28.Solve: 9y − 11 = 16. What is y?
  29. 29.Riya thinks of a number, multiplies it by 8 and then adds 3. The result is 59. What is the number?
  30. 30.Solve: 5p + 13 = 18. What is p?
  31. 31.Solve: 3(p + 1) = 18. What is p?
  32. 32.Solve: t/5 + 19 = 34. What is t?
  33. 33.Solve: 4n + 12 = 52. What is n?
  34. 34.Solve: 6x − 13 = 11. What is x?
  35. 35.Solve: 7(m + 3) = 84. What is m?
  36. 36.Solve: x/4 + 12 = 22. What is x?
  37. 37.Rohan thinks of a number, multiplies it by 5 and then adds 15. The result is 75. What is the number?
  38. 38.Nisha is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  39. 39.Solve: 2t + 25 = 39. What is t?
  40. 40.Solve: 6m + 17 = 53. What is m?

Answer key

  1. 10
  2. 3
  3. 12
  4. 1
  5. 4
  6. 12
  7. 4
  8. 3
  9. 5
  10. 12
  11. 11
  12. 13
  13. 15
  14. 13
  15. 4
  16. 12
  17. 2
  18. 12
  19. 6
  20. 10
  21. 12
  22. 8
  23. 15
  24. 1
  25. 24
  26. 15
  27. 12
  28. 3
  29. 7
  30. 1
  31. 5
  32. 75
  33. 10
  34. 4
  35. 9
  36. 40
  37. 12
  38. 5
  39. 7
  40. 6

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