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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 492 · 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/8 + 18 = 31. What is p?
  2. 2.Solve: 4p + 19 = 23. What is p?
  3. 3.Solve: 8x + 16 = 40. What is x?
  4. 4.Solve: 8n − 38 = 26. What is n?
  5. 5.Solve: 2y − 2 = 16. What is y?
  6. 6.Solve: n/9 + 14 = 17. What is n?
  7. 7.Solve: 5n − 13 = 2. What is n?
  8. 8.Solve: 9y + 22 = 130. What is y?
  9. 9.Aarav’s mother is four times as old as Aarav. Their ages add up to 30 years. How old is Aarav?
  10. 10.Solve: 7(m + 6) = 63. What is m?
  11. 11.Solve: 5p + 24 = 29. What is p?
  12. 12.Solve: 9y − 7 = 11. What is y?
  13. 13.Solve: 3t + 30 = 42. What is t?
  14. 14.Solve: 5(y + 9) = 110. What is y?
  15. 15.Rahul thinks of a number, multiplies it by 3 and then adds 9. The result is 36. What is the number?
  16. 16.Saanvi is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  17. 17.Solve: x/7 + 7 = 10. What is x?
  18. 18.Pooja’s mother is twice as old as Pooja. Their ages add up to 45 years. How old is Pooja?
  19. 19.Solve: 4(n + 9) = 72. What is n?
  20. 20.Solve: 7y + 19 = 117. What is y?
  21. 21.Solve: 3p − 5 = 4. What is p?
  22. 22.Solve: 7p + 12 = 117. What is p?
  23. 23.Solve: 2x + 26 = 56. What is x?
  24. 24.Rohan thinks of a number, multiplies it by 2 and then adds 29. The result is 47. What is the number?
  25. 25.Solve: 2y + 26 = 46. What is y?
  26. 26.Kavya thinks of a number, multiplies it by 9 and then adds 3. The result is 120. What is the number?
  27. 27.Solve: y/8 + 4 = 17. What is y?
  28. 28.Solve: 7x − 5 = 23. What is x?
  29. 29.Solve: m/4 + 14 = 21. What is m?
  30. 30.Solve: 4y − 10 = 10. What is y?
  31. 31.Tara thinks of a number, multiplies it by 7 and then adds 7. The result is 21. What is the number?
  32. 32.Aarav’s mother is four times as old as Aarav. Their ages add up to 25 years. How old is Aarav?
  33. 33.Solve: 8m + 30 = 46. What is m?
  34. 34.Ishaan is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  35. 35.Saanvi thinks of a number, multiplies it by 9 and then adds 7. The result is 79. What is the number?
  36. 36.Rahul’s mother is three times as old as Rahul. Their ages add up to 20 years. How old is Rahul?
  37. 37.Solve: 8p + 3 = 91. What is p?
  38. 38.Aarav thinks of a number, multiplies it by 2 and then adds 29. The result is 33. What is the number?
  39. 39.Rohan thinks of a number, multiplies it by 3 and then adds 27. The result is 66. What is the number?
  40. 40.Solve: 8m + 12 = 36. What is m?

Answer key

  1. 104
  2. 1
  3. 3
  4. 8
  5. 9
  6. 27
  7. 3
  8. 12
  9. 6
  10. 3
  11. 1
  12. 2
  13. 4
  14. 13
  15. 9
  16. 4
  17. 21
  18. 15
  19. 9
  20. 14
  21. 3
  22. 15
  23. 15
  24. 9
  25. 10
  26. 13
  27. 104
  28. 4
  29. 28
  30. 5
  31. 2
  32. 5
  33. 2
  34. 8
  35. 8
  36. 5
  37. 11
  38. 2
  39. 13
  40. 3

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