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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 214 · 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: 6m + 2 = 86. What is m?
  2. 2.Solve: n/2 + 10 = 15. What is n?
  3. 3.Solve: 6p − 6 = 6. What is p?
  4. 4.Zoya thinks of a number, multiplies it by 2 and then adds 19. The result is 39. What is the number?
  5. 5.Pooja’s mother is three times as old as Pooja. Their ages add up to 16 years. How old is Pooja?
  6. 6.Karan thinks of a number, multiplies it by 5 and then adds 24. The result is 79. What is the number?
  7. 7.Solve: n/9 + 11 = 18. What is n?
  8. 8.Solve: 7x − 5 = 2. What is x?
  9. 9.Solve: 2p + 29 = 39. What is p?
  10. 10.Solve: y/2 + 2 = 3. What is y?
  11. 11.Nisha thinks of a number, multiplies it by 4 and then adds 16. The result is 68. What is the number?
  12. 12.Karan thinks of a number, multiplies it by 7 and then adds 13. The result is 97. What is the number?
  13. 13.Diya is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  14. 14.Zoya is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  15. 15.Solve: 5m + 22 = 67. What is m?
  16. 16.Pooja thinks of a number, multiplies it by 7 and then adds 1. The result is 71. What is the number?
  17. 17.Karan thinks of a number, multiplies it by 8 and then adds 10. The result is 98. What is the number?
  18. 18.Solve: 5p − 11 = 4. What is p?
  19. 19.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 65 years. How old is Gurpreet?
  20. 20.Saanvi thinks of a number, multiplies it by 6 and then adds 15. The result is 75. What is the number?
  21. 21.Solve: 2(p + 2) = 22. What is p?
  22. 22.Solve: 4p − 5 = 43. What is p?
  23. 23.Solve: 2p − 9 = 9. What is p?
  24. 24.Solve: 2x − 3 = 11. What is x?
  25. 25.Diya is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  26. 26.Solve: n/7 + 10 = 12. What is n?
  27. 27.Solve: 8m + 30 = 62. What is m?
  28. 28.Solve: x/2 + 10 = 19. What is x?
  29. 29.Solve: 3(m + 3) = 51. What is m?
  30. 30.Solve: 6x − 5 = 13. What is x?
  31. 31.Kavya thinks of a number, multiplies it by 2 and then adds 2. The result is 22. What is the number?
  32. 32.Zoya thinks of a number, multiplies it by 6 and then adds 19. The result is 91. What is the number?
  33. 33.Solve: x/9 + 2 = 15. What is x?
  34. 34.Solve: 4p − 57 = 3. What is p?
  35. 35.Solve: 3t + 8 = 29. What is t?
  36. 36.Solve: 3(x + 7) = 24. What is x?
  37. 37.Solve: 6y − 22 = 20. What is y?
  38. 38.Solve: 4x − 36 = 8. What is x?
  39. 39.Solve: p/4 + 6 = 17. What is p?
  40. 40.Solve: 7t − 6 = 15. What is t?

Answer key

  1. 14
  2. 10
  3. 2
  4. 10
  5. 4
  6. 11
  7. 63
  8. 1
  9. 5
  10. 2
  11. 13
  12. 12
  13. 14
  14. 4
  15. 9
  16. 10
  17. 11
  18. 3
  19. 13
  20. 10
  21. 9
  22. 12
  23. 9
  24. 7
  25. 8
  26. 14
  27. 4
  28. 18
  29. 14
  30. 3
  31. 10
  32. 12
  33. 117
  34. 15
  35. 7
  36. 1
  37. 7
  38. 11
  39. 44
  40. 3

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