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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 147 · 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: p/2 + 11 = 24. What is p?
  2. 2.Solve: 5y + 14 = 44. What is y?
  3. 3.Solve: 7(y + 5) = 91. What is y?
  4. 4.Solve: 3m − 17 = 25. What is m?
  5. 5.Saanvi thinks of a number, multiplies it by 8 and then adds 7. The result is 127. What is the number?
  6. 6.Solve: 2m − 1 = 1. What is m?
  7. 7.Solve: 9(n + 7) = 180. What is n?
  8. 8.Solve: 4n − 10 = 10. What is n?
  9. 9.Solve: 2(t + 9) = 44. What is t?
  10. 10.Solve: 5t − 64 = 1. What is t?
  11. 11.Solve: 7n − 11 = 66. What is n?
  12. 12.Solve: 8t − 14 = 10. What is t?
  13. 13.Solve: 2m + 9 = 17. What is m?
  14. 14.Solve: 6y − 1 = 5. What is y?
  15. 15.Gurpreet thinks of a number, multiplies it by 7 and then adds 22. The result is 36. What is the number?
  16. 16.Rahul thinks of a number, multiplies it by 9 and then adds 24. The result is 42. What is the number?
  17. 17.Meera thinks of a number, multiplies it by 8 and then adds 8. The result is 120. What is the number?
  18. 18.Isha thinks of a number, multiplies it by 6 and then adds 1. The result is 55. What is the number?
  19. 19.Solve: 5m − 18 = 57. What is m?
  20. 20.Solve: 4(p + 3) = 28. What is p?
  21. 21.Solve: p/4 + 1 = 11. What is p?
  22. 22.Solve: 2t − 22 = 2. What is t?
  23. 23.Solve: 6p − 45 = 21. What is p?
  24. 24.Solve: y/4 + 11 = 19. What is y?
  25. 25.Tara’s mother is twice as old as Tara. Their ages add up to 24 years. How old is Tara?
  26. 26.Solve: 4n + 26 = 50. What is n?
  27. 27.Solve: 7(y + 6) = 119. What is y?
  28. 28.Solve: 7p − 10 = 4. What is p?
  29. 29.Rahul is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  30. 30.Lakshmi is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  31. 31.Manav thinks of a number, multiplies it by 5 and then adds 23. The result is 43. What is the number?
  32. 32.Solve: 4x − 3 = 13. What is x?
  33. 33.Solve: 5m + 18 = 33. What is m?
  34. 34.Solve: 3x + 23 = 32. What is x?
  35. 35.Solve: 5x − 2 = 3. What is x?
  36. 36.Solve: 3(p + 2) = 9. What is p?
  37. 37.Solve: 9(n + 1) = 18. What is n?
  38. 38.Solve: 3(x + 8) = 57. What is x?
  39. 39.Solve: 9p − 45 = 54. What is p?
  40. 40.Solve: 5(p + 2) = 30. What is p?

Answer key

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

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