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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 714 · 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: 3y + 2 = 5. What is y?
  2. 2.Solve: n/7 + 12 = 27. What is n?
  3. 3.Solve: p/3 + 4 = 14. What is p?
  4. 4.Solve: 9y − 8 = 10. What is y?
  5. 5.Solve: 2m − 16 = 2. What is m?
  6. 6.Solve: 5(t + 1) = 40. What is t?
  7. 7.Kabir thinks of a number, multiplies it by 3 and then adds 2. The result is 17. What is the number?
  8. 8.Solve: 3y + 28 = 40. What is y?
  9. 9.Solve: 7(m + 7) = 70. What is m?
  10. 10.Tara thinks of a number, multiplies it by 2 and then adds 10. The result is 24. What is the number?
  11. 11.Solve: 2(y + 3) = 36. What is y?
  12. 12.Solve: 8y − 23 = 49. What is y?
  13. 13.Solve: 6y − 38 = 52. What is y?
  14. 14.Solve: 5t + 13 = 28. What is t?
  15. 15.Solve: 3n + 10 = 43. What is n?
  16. 16.Solve: m/6 + 9 = 24. What is m?
  17. 17.Riya is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  18. 18.Solve: 5n − 2 = 3. What is n?
  19. 19.Solve: 7(x + 7) = 70. What is x?
  20. 20.Solve: p/7 + 15 = 25. What is p?
  21. 21.Solve: 3p + 8 = 14. What is p?
  22. 22.Aditya thinks of a number, multiplies it by 2 and then adds 26. The result is 42. What is the number?
  23. 23.Solve: t/2 + 11 = 17. What is t?
  24. 24.Solve: n/3 + 9 = 20. What is n?
  25. 25.Riya thinks of a number, multiplies it by 2 and then adds 18. The result is 26. What is the number?
  26. 26.Rohan’s mother is four times as old as Rohan. Their ages add up to 30 years. How old is Rohan?
  27. 27.Lakshmi thinks of a number, multiplies it by 9 and then adds 21. The result is 156. What is the number?
  28. 28.Gurpreet thinks of a number, multiplies it by 4 and then adds 7. The result is 59. What is the number?
  29. 29.Solve: 3t − 1 = 5. What is t?
  30. 30.Solve: 6(x + 4) = 30. What is x?
  31. 31.Solve: n/6 + 19 = 33. What is n?
  32. 32.Priya thinks of a number, multiplies it by 4 and then adds 17. The result is 69. What is the number?
  33. 33.Solve: 5(p + 8) = 110. What is p?
  34. 34.Solve: m/6 + 15 = 30. What is m?
  35. 35.Solve: 9y − 58 = 5. What is y?
  36. 36.Solve: 5y + 10 = 15. What is y?
  37. 37.Solve: 3p − 22 = 14. What is p?
  38. 38.Vivaan thinks of a number, multiplies it by 8 and then adds 2. The result is 34. What is the number?
  39. 39.Lakshmi thinks of a number, multiplies it by 8 and then adds 15. The result is 103. What is the number?
  40. 40.Solve: 7p − 12 = 58. What is p?

Answer key

  1. 1
  2. 105
  3. 30
  4. 2
  5. 9
  6. 7
  7. 5
  8. 4
  9. 3
  10. 7
  11. 15
  12. 9
  13. 15
  14. 3
  15. 11
  16. 90
  17. 9
  18. 1
  19. 3
  20. 70
  21. 2
  22. 8
  23. 12
  24. 33
  25. 4
  26. 6
  27. 15
  28. 13
  29. 2
  30. 1
  31. 84
  32. 13
  33. 14
  34. 90
  35. 7
  36. 1
  37. 12
  38. 4
  39. 11
  40. 10

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