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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 9 · 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/3 + 12 = 16. What is p?
  2. 2.Solve: y/4 + 20 = 29. What is y?
  3. 3.Isha’s mother is twice as old as Isha. Their ages add up to 15 years. How old is Isha?
  4. 4.Solve: 5(x + 9) = 85. What is x?
  5. 5.Solve: 9(x + 7) = 198. What is x?
  6. 6.Solve: 2p − 1 = 5. What is p?
  7. 7.Vivaan thinks of a number, multiplies it by 8 and then adds 18. The result is 130. What is the number?
  8. 8.Solve: 8(y + 8) = 136. What is y?
  9. 9.Solve: 7(y + 3) = 35. What is y?
  10. 10.Solve: 7(y + 4) = 126. What is y?
  11. 11.Solve: 8x + 9 = 41. What is x?
  12. 12.Joseph’s mother is three times as old as Joseph. Their ages add up to 52 years. How old is Joseph?
  13. 13.Solve: 5(t + 8) = 70. What is t?
  14. 14.Rohan thinks of a number, multiplies it by 5 and then adds 18. The result is 38. What is the number?
  15. 15.Nisha thinks of a number, multiplies it by 3 and then adds 24. The result is 36. What is the number?
  16. 16.Arjun thinks of a number, multiplies it by 2 and then adds 30. The result is 50. What is the number?
  17. 17.Solve: 4(n + 6) = 44. What is n?
  18. 18.Isha thinks of a number, multiplies it by 5 and then adds 5. The result is 10. What is the number?
  19. 19.Meera is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  20. 20.Solve: 6n + 25 = 91. What is n?
  21. 21.Solve: n/6 + 5 = 8. What is n?
  22. 22.Solve: 4(p + 2) = 60. What is p?
  23. 23.Solve: x/7 + 3 = 17. What is x?
  24. 24.Solve: 2y − 1 = 1. What is y?
  25. 25.Solve: y/6 + 19 = 22. What is y?
  26. 26.Solve: x/2 + 12 = 23. What is x?
  27. 27.Solve: 8m + 11 = 51. What is m?
  28. 28.Solve: 2(x + 8) = 34. What is x?
  29. 29.Solve: 4y − 10 = 50. What is y?
  30. 30.Diya thinks of a number, multiplies it by 8 and then adds 21. The result is 69. What is the number?
  31. 31.Solve: 7t + 7 = 49. What is t?
  32. 32.Sneha thinks of a number, multiplies it by 9 and then adds 19. The result is 46. What is the number?
  33. 33.Solve: 7p + 7 = 112. What is p?
  34. 34.Solve: t/4 + 15 = 22. What is t?
  35. 35.Solve: 3x − 9 = 18. What is x?
  36. 36.Manav thinks of a number, multiplies it by 9 and then adds 6. The result is 141. What is the number?
  37. 37.Solve: 6m + 11 = 101. What is m?
  38. 38.Solve: t/3 + 17 = 20. What is t?
  39. 39.Solve: 8n − 7 = 1. What is n?
  40. 40.Solve: 9(y + 2) = 45. What is y?

Answer key

  1. 12
  2. 36
  3. 5
  4. 8
  5. 15
  6. 3
  7. 14
  8. 9
  9. 2
  10. 14
  11. 4
  12. 13
  13. 6
  14. 4
  15. 4
  16. 10
  17. 5
  18. 1
  19. 8
  20. 11
  21. 18
  22. 13
  23. 98
  24. 1
  25. 18
  26. 22
  27. 5
  28. 9
  29. 15
  30. 6
  31. 6
  32. 3
  33. 15
  34. 28
  35. 9
  36. 15
  37. 15
  38. 9
  39. 1
  40. 3

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