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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 931 · 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: 4y + 16 = 28. What is y?
  2. 2.Solve: y/5 + 17 = 27. What is y?
  3. 3.Solve: 2y + 23 = 51. What is y?
  4. 4.Solve: 2x + 14 = 42. What is x?
  5. 5.Aditya is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  6. 6.Saanvi thinks of a number, multiplies it by 3 and then adds 6. The result is 36. What is the number?
  7. 7.Solve: m/8 + 11 = 25. What is m?
  8. 8.Solve: 2t − 5 = 1. What is t?
  9. 9.Pooja is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  10. 10.Solve: n/5 + 11 = 19. What is n?
  11. 11.Solve: 3x − 7 = 32. What is x?
  12. 12.Solve: 8y − 3 = 101. What is y?
  13. 13.Solve: 5y − 4 = 1. What is y?
  14. 14.Solve: 2m + 9 = 25. What is m?
  15. 15.Solve: t/5 + 14 = 26. What is t?
  16. 16.Solve: y/8 + 18 = 26. What is y?
  17. 17.Solve: 6(n + 4) = 102. What is n?
  18. 18.Ananya thinks of a number, multiplies it by 6 and then adds 18. The result is 66. What is the number?
  19. 19.Solve: 7p − 9 = 26. What is p?
  20. 20.Solve: p/9 + 19 = 28. What is p?
  21. 21.Solve: 3x + 8 = 50. What is x?
  22. 22.Tara thinks of a number, multiplies it by 6 and then adds 13. The result is 79. What is the number?
  23. 23.Vivaan thinks of a number, multiplies it by 7 and then adds 17. The result is 45. What is the number?
  24. 24.Nisha is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  25. 25.Solve: 9m − 4 = 41. What is m?
  26. 26.Solve: 4y − 19 = 25. What is y?
  27. 27.Diya thinks of a number, multiplies it by 2 and then adds 26. The result is 42. What is the number?
  28. 28.Gurpreet is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  29. 29.Solve: 6y − 86 = 4. What is y?
  30. 30.Solve: 5y − 7 = 43. What is y?
  31. 31.Solve: 8n + 1 = 73. What is n?
  32. 32.Solve: m/6 + 9 = 14. What is m?
  33. 33.Pooja’s mother is four times as old as Pooja. Their ages add up to 75 years. How old is Pooja?
  34. 34.Solve: 4p + 7 = 35. What is p?
  35. 35.Solve: 4(t + 2) = 68. What is t?
  36. 36.Ananya’s mother is four times as old as Ananya. Their ages add up to 35 years. How old is Ananya?
  37. 37.Solve: 2n + 27 = 37. What is n?
  38. 38.Solve: 9t − 72 = 9. What is t?
  39. 39.Solve: y/6 + 3 = 16. What is y?
  40. 40.Solve: 6t + 13 = 79. What is t?

Answer key

  1. 3
  2. 50
  3. 14
  4. 14
  5. 11
  6. 10
  7. 112
  8. 3
  9. 8
  10. 40
  11. 13
  12. 13
  13. 1
  14. 8
  15. 60
  16. 64
  17. 13
  18. 8
  19. 5
  20. 81
  21. 14
  22. 11
  23. 4
  24. 8
  25. 5
  26. 11
  27. 8
  28. 8
  29. 15
  30. 10
  31. 9
  32. 30
  33. 15
  34. 7
  35. 15
  36. 7
  37. 5
  38. 9
  39. 78
  40. 11

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