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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 189 · 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: 2y + 28 = 38. What is y?
  2. 2.Solve: p/6 + 13 = 22. What is p?
  3. 3.Diya is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  4. 4.Isha is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  5. 5.Pooja’s mother is three times as old as Pooja. Their ages add up to 24 years. How old is Pooja?
  6. 6.Rahul’s mother is four times as old as Rahul. Their ages add up to 20 years. How old is Rahul?
  7. 7.Solve: 6(n + 3) = 84. What is n?
  8. 8.Solve: n/5 + 13 = 17. What is n?
  9. 9.Solve: 2n − 7 = 13. What is n?
  10. 10.Solve: 5(y + 1) = 50. What is y?
  11. 11.Solve: 3y + 22 = 37. What is y?
  12. 12.Solve: 2x + 29 = 35. What is x?
  13. 13.Solve: t/9 + 8 = 17. What is t?
  14. 14.Farhan is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  15. 15.Solve: 3y − 5 = 4. What is y?
  16. 16.Lakshmi thinks of a number, multiplies it by 3 and then adds 14. The result is 59. What is the number?
  17. 17.Solve: y/6 + 12 = 18. What is y?
  18. 18.Solve: t/6 + 19 = 34. What is t?
  19. 19.Solve: 4(p + 5) = 32. What is p?
  20. 20.Saanvi thinks of a number, multiplies it by 8 and then adds 18. The result is 34. What is the number?
  21. 21.Kabir’s mother is four times as old as Kabir. Their ages add up to 50 years. How old is Kabir?
  22. 22.Vivaan thinks of a number, multiplies it by 2 and then adds 8. The result is 26. What is the number?
  23. 23.Solve: 6x − 14 = 46. What is x?
  24. 24.Priya is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  25. 25.Priya is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  26. 26.Solve: y/4 + 17 = 19. What is y?
  27. 27.Nisha’s mother is four times as old as Nisha. Their ages add up to 35 years. How old is Nisha?
  28. 28.Ananya thinks of a number, multiplies it by 4 and then adds 23. The result is 39. What is the number?
  29. 29.Solve: y/7 + 20 = 28. What is y?
  30. 30.Zoya’s mother is twice as old as Zoya. Their ages add up to 15 years. How old is Zoya?
  31. 31.Kabir thinks of a number, multiplies it by 2 and then adds 11. The result is 13. What is the number?
  32. 32.Solve: 7n + 9 = 100. What is n?
  33. 33.Solve: x/5 + 7 = 13. What is x?
  34. 34.Solve: y/3 + 16 = 31. What is y?
  35. 35.Solve: t/5 + 12 = 14. What is t?
  36. 36.Solve: 3m + 9 = 42. What is m?
  37. 37.Solve: m/2 + 11 = 24. What is m?
  38. 38.Solve: 8m − 27 = 61. What is m?
  39. 39.Solve: m/6 + 4 = 7. What is m?
  40. 40.Solve: m/6 + 9 = 12. What is m?

Answer key

  1. 5
  2. 54
  3. 5
  4. 12
  5. 6
  6. 4
  7. 11
  8. 20
  9. 10
  10. 9
  11. 5
  12. 3
  13. 81
  14. 11
  15. 3
  16. 15
  17. 36
  18. 90
  19. 3
  20. 2
  21. 10
  22. 9
  23. 10
  24. 14
  25. 9
  26. 8
  27. 7
  28. 4
  29. 56
  30. 5
  31. 1
  32. 13
  33. 30
  34. 45
  35. 10
  36. 11
  37. 26
  38. 11
  39. 18
  40. 18

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