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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 654 · 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.Arjun thinks of a number, multiplies it by 8 and then adds 18. The result is 122. What is the number?
  2. 2.Solve: 8t − 6 = 2. What is t?
  3. 3.Solve: 5x + 15 = 55. What is x?
  4. 4.Solve: y/9 + 3 = 11. What is y?
  5. 5.Nisha thinks of a number, multiplies it by 6 and then adds 13. The result is 103. What is the number?
  6. 6.Kabir’s mother is twice as old as Kabir. Their ages add up to 33 years. How old is Kabir?
  7. 7.Solve: 3m + 8 = 38. What is m?
  8. 8.Solve: 3p + 12 = 39. What is p?
  9. 9.Solve: 4p + 10 = 18. What is p?
  10. 10.Solve: 3n + 5 = 23. What is n?
  11. 11.Solve: 4p − 2 = 14. What is p?
  12. 12.Manav is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  13. 13.Solve: 6y + 18 = 60. What is y?
  14. 14.Solve: 6p + 27 = 81. What is p?
  15. 15.Solve: 4(y + 1) = 36. What is y?
  16. 16.Dev is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  17. 17.Solve: 8(t + 6) = 160. What is t?
  18. 18.Solve: 6m − 2 = 76. What is m?
  19. 19.Solve: 5n + 25 = 45. What is n?
  20. 20.Solve: 5y + 27 = 32. What is y?
  21. 21.Ananya thinks of a number, multiplies it by 8 and then adds 4. The result is 60. What is the number?
  22. 22.Manav is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  23. 23.Isha thinks of a number, multiplies it by 3 and then adds 5. The result is 8. What is the number?
  24. 24.Tara thinks of a number, multiplies it by 7 and then adds 4. The result is 67. What is the number?
  25. 25.Solve: m/3 + 2 = 16. What is m?
  26. 26.Solve: t/4 + 9 = 19. What is t?
  27. 27.Solve: m/9 + 8 = 14. What is m?
  28. 28.Joseph is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  29. 29.Diya thinks of a number, multiplies it by 5 and then adds 1. The result is 41. What is the number?
  30. 30.Arjun thinks of a number, multiplies it by 7 and then adds 3. The result is 66. What is the number?
  31. 31.Solve: 7t − 35 = 7. What is t?
  32. 32.Vivaan thinks of a number, multiplies it by 7 and then adds 2. The result is 72. What is the number?
  33. 33.Solve: 2y − 1 = 1. What is y?
  34. 34.Solve: 2y − 4 = 26. What is y?
  35. 35.Solve: 9m + 2 = 119. What is m?
  36. 36.Nisha is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  37. 37.Farhan thinks of a number, multiplies it by 7 and then adds 30. The result is 114. What is the number?
  38. 38.Solve: 2p + 20 = 46. What is p?
  39. 39.Solve: 6p + 10 = 70. What is p?
  40. 40.Solve: 8x + 24 = 56. What is x?

Answer key

  1. 13
  2. 1
  3. 8
  4. 72
  5. 15
  6. 11
  7. 10
  8. 9
  9. 2
  10. 6
  11. 4
  12. 15
  13. 7
  14. 9
  15. 8
  16. 5
  17. 14
  18. 13
  19. 4
  20. 1
  21. 7
  22. 10
  23. 1
  24. 9
  25. 42
  26. 40
  27. 54
  28. 8
  29. 8
  30. 9
  31. 6
  32. 10
  33. 1
  34. 15
  35. 13
  36. 14
  37. 12
  38. 13
  39. 10
  40. 4

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