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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 750 · 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: 6y − 14 = 64. What is y?
  2. 2.Solve: x/6 + 20 = 32. What is x?
  3. 3.Solve: 3(y + 3) = 48. What is y?
  4. 4.Solve: 4x − 35 = 5. What is x?
  5. 5.Solve: 3(y + 8) = 30. What is y?
  6. 6.Solve: 6(m + 1) = 78. What is m?
  7. 7.Solve: 2x − 12 = 6. What is x?
  8. 8.Solve: 4(y + 7) = 64. What is y?
  9. 9.Kabir’s mother is four times as old as Kabir. Their ages add up to 40 years. How old is Kabir?
  10. 10.Kabir thinks of a number, multiplies it by 4 and then adds 9. The result is 25. What is the number?
  11. 11.Solve: 9x − 68 = 31. What is x?
  12. 12.Solve: n/3 + 10 = 16. What is n?
  13. 13.Solve: m/4 + 16 = 31. What is m?
  14. 14.Gurpreet is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  15. 15.Zoya is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  16. 16.Solve: 8p + 1 = 81. What is p?
  17. 17.Nisha thinks of a number, multiplies it by 6 and then adds 17. The result is 65. What is the number?
  18. 18.Meera thinks of a number, multiplies it by 8 and then adds 20. The result is 36. What is the number?
  19. 19.Solve: n/9 + 1 = 11. What is n?
  20. 20.Solve: 6(t + 4) = 30. What is t?
  21. 21.Solve: 5p + 12 = 77. What is p?
  22. 22.Solve: 7(x + 1) = 98. What is x?
  23. 23.Solve: n/4 + 16 = 25. What is n?
  24. 24.Solve: 9(m + 6) = 189. What is m?
  25. 25.Diya is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  26. 26.Solve: n/8 + 19 = 21. What is n?
  27. 27.Manav is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  28. 28.Isha thinks of a number, multiplies it by 8 and then adds 19. The result is 27. What is the number?
  29. 29.Solve: 3y + 23 = 62. What is y?
  30. 30.Solve: 4x − 2 = 6. What is x?
  31. 31.Solve: n/2 + 17 = 18. What is n?
  32. 32.Saanvi thinks of a number, multiplies it by 5 and then adds 19. The result is 69. What is the number?
  33. 33.Solve: 6(m + 8) = 126. What is m?
  34. 34.Solve: 4p − 2 = 14. What is p?
  35. 35.Solve: 4t − 1 = 43. What is t?
  36. 36.Solve: t/8 + 14 = 15. What is t?
  37. 37.Solve: 6y − 30 = 18. What is y?
  38. 38.Rahul’s mother is three times as old as Rahul. Their ages add up to 40 years. How old is Rahul?
  39. 39.Solve: y/9 + 4 = 14. What is y?
  40. 40.Zoya thinks of a number, multiplies it by 8 and then adds 20. The result is 60. What is the number?

Answer key

  1. 13
  2. 72
  3. 13
  4. 10
  5. 2
  6. 12
  7. 9
  8. 9
  9. 8
  10. 4
  11. 11
  12. 18
  13. 60
  14. 14
  15. 6
  16. 10
  17. 8
  18. 2
  19. 90
  20. 1
  21. 13
  22. 13
  23. 36
  24. 15
  25. 4
  26. 16
  27. 4
  28. 1
  29. 13
  30. 2
  31. 2
  32. 10
  33. 13
  34. 4
  35. 11
  36. 8
  37. 8
  38. 10
  39. 90
  40. 5

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