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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 236 · 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: 8t + 22 = 86. What is t?
  2. 2.Solve: x/6 + 18 = 26. What is x?
  3. 3.Solve: 8(n + 3) = 128. What is n?
  4. 4.Isha thinks of a number, multiplies it by 3 and then adds 13. The result is 16. What is the number?
  5. 5.Solve: 8x + 27 = 67. What is x?
  6. 6.Karan thinks of a number, multiplies it by 3 and then adds 12. The result is 42. What is the number?
  7. 7.Solve: n/4 + 4 = 12. What is n?
  8. 8.Solve: 6p + 9 = 39. What is p?
  9. 9.Solve: 6m + 11 = 59. What is m?
  10. 10.Solve: 2(y + 7) = 32. What is y?
  11. 11.Solve: 2y − 1 = 21. What is y?
  12. 12.Kabir thinks of a number, multiplies it by 4 and then adds 16. The result is 36. What is the number?
  13. 13.Solve: 2x + 9 = 39. What is x?
  14. 14.Solve: 9x − 10 = 71. What is x?
  15. 15.Solve: 2y − 17 = 1. What is y?
  16. 16.Solve: 6p + 23 = 29. What is p?
  17. 17.Solve: t/7 + 9 = 23. What is t?
  18. 18.Meera’s mother is twice as old as Meera. Their ages add up to 27 years. How old is Meera?
  19. 19.Solve: 5n − 5 = 20. What is n?
  20. 20.Diya’s mother is four times as old as Diya. Their ages add up to 35 years. How old is Diya?
  21. 21.Arjun thinks of a number, multiplies it by 4 and then adds 5. The result is 25. What is the number?
  22. 22.Ishaan thinks of a number, multiplies it by 3 and then adds 13. The result is 43. What is the number?
  23. 23.Rohan is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  24. 24.Tara’s mother is four times as old as Tara. Their ages add up to 45 years. How old is Tara?
  25. 25.Solve: 8t + 12 = 132. What is t?
  26. 26.Solve: 3x − 22 = 8. What is x?
  27. 27.Solve: 3x − 23 = 10. What is x?
  28. 28.Solve: 7x − 5 = 2. What is x?
  29. 29.Solve: 4(n + 2) = 12. What is n?
  30. 30.Solve: 2x + 22 = 38. What is x?
  31. 31.Kabir’s mother is four times as old as Kabir. Their ages add up to 55 years. How old is Kabir?
  32. 32.Solve: 5n + 12 = 37. What is n?
  33. 33.Solve: 6(p + 8) = 84. What is p?
  34. 34.Solve: 6n + 4 = 94. What is n?
  35. 35.Solve: 7n − 6 = 1. What is n?
  36. 36.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 36 years. How old is Gurpreet?
  37. 37.Solve: 3x − 4 = 5. What is x?
  38. 38.Rahul’s mother is three times as old as Rahul. Their ages add up to 32 years. How old is Rahul?
  39. 39.Diya thinks of a number, multiplies it by 9 and then adds 23. The result is 50. What is the number?
  40. 40.Saanvi thinks of a number, multiplies it by 7 and then adds 18. The result is 74. What is the number?

Answer key

  1. 8
  2. 48
  3. 13
  4. 1
  5. 5
  6. 10
  7. 32
  8. 5
  9. 8
  10. 9
  11. 11
  12. 5
  13. 15
  14. 9
  15. 9
  16. 1
  17. 98
  18. 9
  19. 5
  20. 7
  21. 5
  22. 10
  23. 13
  24. 9
  25. 15
  26. 10
  27. 11
  28. 1
  29. 1
  30. 8
  31. 11
  32. 5
  33. 6
  34. 15
  35. 1
  36. 9
  37. 3
  38. 8
  39. 3
  40. 8

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