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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 169 · 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: 4(n + 2) = 20. What is n?
  2. 2.Solve: y/6 + 10 = 20. What is y?
  3. 3.Solve: 5p + 22 = 67. What is p?
  4. 4.Solve: 2p − 5 = 7. What is p?
  5. 5.Solve: 9y + 19 = 82. What is y?
  6. 6.Solve: 3y − 1 = 2. What is y?
  7. 7.Solve: 5x + 2 = 37. What is x?
  8. 8.Isha thinks of a number, multiplies it by 4 and then adds 1. The result is 25. What is the number?
  9. 9.Sneha’s mother is three times as old as Sneha. Their ages add up to 56 years. How old is Sneha?
  10. 10.Diya is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  11. 11.Kavya thinks of a number, multiplies it by 4 and then adds 29. The result is 65. What is the number?
  12. 12.Solve: 9p − 1 = 98. What is p?
  13. 13.Sneha’s mother is twice as old as Sneha. Their ages add up to 33 years. How old is Sneha?
  14. 14.Solve: 9p + 4 = 85. What is p?
  15. 15.Solve: 3n + 6 = 45. What is n?
  16. 16.Solve: 5t − 17 = 18. What is t?
  17. 17.Solve: 3(y + 4) = 21. What is y?
  18. 18.Solve: 5m + 16 = 41. What is m?
  19. 19.Tara thinks of a number, multiplies it by 6 and then adds 22. The result is 112. What is the number?
  20. 20.Solve: 8(x + 1) = 64. What is x?
  21. 21.Solve: 9n + 13 = 94. What is n?
  22. 22.Manav’s mother is four times as old as Manav. Their ages add up to 40 years. How old is Manav?
  23. 23.Solve: x/7 + 10 = 11. What is x?
  24. 24.Solve: 8(x + 8) = 128. What is x?
  25. 25.Meera thinks of a number, multiplies it by 3 and then adds 21. The result is 36. What is the number?
  26. 26.Saanvi is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  27. 27.Solve: 3(t + 9) = 51. What is t?
  28. 28.Solve: 3p + 6 = 30. What is p?
  29. 29.Manav thinks of a number, multiplies it by 8 and then adds 21. The result is 141. What is the number?
  30. 30.Solve: 2y − 3 = 15. What is y?
  31. 31.Solve: y/2 + 18 = 19. What is y?
  32. 32.Solve: y/7 + 3 = 13. What is y?
  33. 33.Solve: 3(x + 5) = 54. What is x?
  34. 34.Pooja is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  35. 35.Solve: x/3 + 14 = 15. What is x?
  36. 36.Gurpreet thinks of a number, multiplies it by 4 and then adds 12. The result is 24. What is the number?
  37. 37.Solve: 4n + 14 = 74. What is n?
  38. 38.Solve: 2p − 1 = 3. What is p?
  39. 39.Solve: 3y − 14 = 16. What is y?
  40. 40.Manav thinks of a number, multiplies it by 4 and then adds 29. The result is 49. What is the number?

Answer key

  1. 3
  2. 60
  3. 9
  4. 6
  5. 7
  6. 1
  7. 7
  8. 6
  9. 14
  10. 5
  11. 9
  12. 11
  13. 11
  14. 9
  15. 13
  16. 7
  17. 3
  18. 5
  19. 15
  20. 7
  21. 9
  22. 8
  23. 7
  24. 8
  25. 5
  26. 13
  27. 8
  28. 8
  29. 15
  30. 9
  31. 2
  32. 70
  33. 13
  34. 11
  35. 3
  36. 3
  37. 15
  38. 2
  39. 10
  40. 5

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