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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 951 · 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: 4t + 6 = 26. What is t?
  2. 2.Kabir thinks of a number, multiplies it by 3 and then adds 5. The result is 17. What is the number?
  3. 3.Solve: 9x − 27 = 72. What is x?
  4. 4.Solve: 9y − 39 = 87. What is y?
  5. 5.Solve: 8y − 15 = 73. What is y?
  6. 6.Pooja thinks of a number, multiplies it by 2 and then adds 29. The result is 41. What is the number?
  7. 7.Solve: t/9 + 2 = 5. What is t?
  8. 8.Solve: 8n − 14 = 50. What is n?
  9. 9.Solve: p/5 + 19 = 21. What is p?
  10. 10.Saanvi thinks of a number, multiplies it by 2 and then adds 11. The result is 19. What is the number?
  11. 11.Solve: 4x + 12 = 36. What is x?
  12. 12.Solve: 5(p + 4) = 35. What is p?
  13. 13.Solve: 4(m + 9) = 64. What is m?
  14. 14.Solve: 2p + 26 = 50. What is p?
  15. 15.Joseph is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  16. 16.Solve: 6y − 63 = 3. What is y?
  17. 17.Solve: 9t − 12 = 33. What is t?
  18. 18.Solve: m/9 + 1 = 9. What is m?
  19. 19.Dev is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  20. 20.Solve: 2p + 2 = 22. What is p?
  21. 21.Solve: 3(y + 7) = 66. What is y?
  22. 22.Rahul is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  23. 23.Sneha is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  24. 24.Solve: 6m + 3 = 39. What is m?
  25. 25.Solve: 9x + 14 = 59. What is x?
  26. 26.Solve: 8m + 24 = 136. What is m?
  27. 27.Kabir thinks of a number, multiplies it by 5 and then adds 28. The result is 53. What is the number?
  28. 28.Solve: 9y + 22 = 49. What is y?
  29. 29.Solve: n/9 + 14 = 16. What is n?
  30. 30.Solve: t/2 + 16 = 29. What is t?
  31. 31.Lakshmi thinks of a number, multiplies it by 4 and then adds 9. The result is 57. What is the number?
  32. 32.Solve: 3x + 26 = 56. What is x?
  33. 33.Solve: 5x + 15 = 30. What is x?
  34. 34.Farhan’s mother is four times as old as Farhan. Their ages add up to 25 years. How old is Farhan?
  35. 35.Rohan is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  36. 36.Solve: 9y − 87 = 12. What is y?
  37. 37.Dev’s mother is twice as old as Dev. Their ages add up to 33 years. How old is Dev?
  38. 38.Ananya’s mother is twice as old as Ananya. Their ages add up to 30 years. How old is Ananya?
  39. 39.Solve: 2x − 8 = 14. What is x?
  40. 40.Solve: 2y − 3 = 1. What is y?

Answer key

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

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