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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 439 · 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.Priya is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  2. 2.Solve: 2p − 22 = 8. What is p?
  3. 3.Solve: 5(m + 2) = 20. What is m?
  4. 4.Aditya is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  5. 5.Solve: 3t + 12 = 15. What is t?
  6. 6.Aditya thinks of a number, multiplies it by 8 and then adds 29. The result is 93. What is the number?
  7. 7.Solve: 5(p + 2) = 45. What is p?
  8. 8.Solve: n/2 + 17 = 22. What is n?
  9. 9.Kabir’s mother is twice as old as Kabir. Their ages add up to 27 years. How old is Kabir?
  10. 10.Solve: 5p + 9 = 44. What is p?
  11. 11.Rohan is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  12. 12.Solve: 5t + 15 = 90. What is t?
  13. 13.Solve: 6y + 15 = 21. What is y?
  14. 14.Solve: 2x + 26 = 30. What is x?
  15. 15.Solve: y/2 + 20 = 27. What is y?
  16. 16.Solve: 7(m + 2) = 21. What is m?
  17. 17.Solve: 6(t + 8) = 54. What is t?
  18. 18.Kabir thinks of a number, multiplies it by 9 and then adds 22. The result is 67. What is the number?
  19. 19.Diya’s mother is four times as old as Diya. Their ages add up to 20 years. How old is Diya?
  20. 20.Isha thinks of a number, multiplies it by 7 and then adds 2. The result is 65. What is the number?
  21. 21.Solve: 4p − 17 = 35. What is p?
  22. 22.Tara thinks of a number, multiplies it by 3 and then adds 12. The result is 42. What is the number?
  23. 23.Solve: 9(y + 1) = 117. What is y?
  24. 24.Solve: 5m + 16 = 86. What is m?
  25. 25.Sneha is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  26. 26.Solve: 6n + 15 = 27. What is n?
  27. 27.Solve: 7y − 31 = 11. What is y?
  28. 28.Solve: y/8 + 5 = 20. What is y?
  29. 29.Solve: 8m + 29 = 149. What is m?
  30. 30.Solve: 6(p + 1) = 12. What is p?
  31. 31.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 56 years. How old is Saanvi?
  32. 32.Solve: 2p + 8 = 10. What is p?
  33. 33.Saanvi thinks of a number, multiplies it by 8 and then adds 2. The result is 34. What is the number?
  34. 34.Solve: 5m + 22 = 47. What is m?
  35. 35.Ishaan thinks of a number, multiplies it by 2 and then adds 2. The result is 32. What is the number?
  36. 36.Solve: n/9 + 8 = 15. What is n?
  37. 37.Solve: 9m + 4 = 103. What is m?
  38. 38.Solve: 7(y + 1) = 42. What is y?
  39. 39.Solve: p/3 + 2 = 10. What is p?
  40. 40.Gurpreet thinks of a number, multiplies it by 5 and then adds 7. The result is 27. What is the number?

Answer key

  1. 7
  2. 15
  3. 2
  4. 13
  5. 1
  6. 8
  7. 7
  8. 10
  9. 9
  10. 7
  11. 4
  12. 15
  13. 1
  14. 2
  15. 14
  16. 1
  17. 1
  18. 5
  19. 4
  20. 9
  21. 13
  22. 10
  23. 12
  24. 14
  25. 4
  26. 2
  27. 6
  28. 120
  29. 15
  30. 1
  31. 14
  32. 1
  33. 4
  34. 5
  35. 15
  36. 63
  37. 11
  38. 5
  39. 24
  40. 4

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