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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 215 · 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: 9n − 20 = 7. What is n?
  2. 2.Solve: 9x + 8 = 89. What is x?
  3. 3.Aarav thinks of a number, multiplies it by 5 and then adds 22. The result is 92. What is the number?
  4. 4.Manav thinks of a number, multiplies it by 8 and then adds 9. The result is 121. What is the number?
  5. 5.Solve: 2n − 1 = 9. What is n?
  6. 6.Arjun thinks of a number, multiplies it by 9 and then adds 19. The result is 127. What is the number?
  7. 7.Solve: 6n + 28 = 76. What is n?
  8. 8.Solve: m/5 + 2 = 5. What is m?
  9. 9.Solve: 8y − 19 = 21. What is y?
  10. 10.Solve: 5(n + 8) = 115. What is n?
  11. 11.Arjun thinks of a number, multiplies it by 9 and then adds 15. The result is 42. What is the number?
  12. 12.Saanvi thinks of a number, multiplies it by 7 and then adds 25. The result is 39. What is the number?
  13. 13.Kabir thinks of a number, multiplies it by 7 and then adds 27. The result is 34. What is the number?
  14. 14.Solve: t/6 + 1 = 5. What is t?
  15. 15.Kabir’s mother is four times as old as Kabir. Their ages add up to 35 years. How old is Kabir?
  16. 16.Solve: 4p − 4 = 12. What is p?
  17. 17.Dev is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  18. 18.Solve: t/6 + 7 = 18. What is t?
  19. 19.Solve: 3m + 15 = 51. What is m?
  20. 20.Solve: y/2 + 18 = 21. What is y?
  21. 21.Solve: x/7 + 1 = 14. What is x?
  22. 22.Solve: 8t + 13 = 21. What is t?
  23. 23.Solve: 3x + 2 = 47. What is x?
  24. 24.Solve: 4p − 9 = 27. What is p?
  25. 25.Vivaan is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  26. 26.Solve: 2x − 9 = 11. What is x?
  27. 27.Solve: 6y − 8 = 52. What is y?
  28. 28.Riya’s mother is twice as old as Riya. Their ages add up to 18 years. How old is Riya?
  29. 29.Solve: 8y − 7 = 9. What is y?
  30. 30.Solve: 5m + 29 = 89. What is m?
  31. 31.Pooja thinks of a number, multiplies it by 9 and then adds 7. The result is 61. What is the number?
  32. 32.Arjun thinks of a number, multiplies it by 6 and then adds 24. The result is 42. What is the number?
  33. 33.Vivaan thinks of a number, multiplies it by 2 and then adds 21. The result is 27. What is the number?
  34. 34.Isha thinks of a number, multiplies it by 7 and then adds 2. The result is 9. What is the number?
  35. 35.Solve: 4p − 23 = 17. What is p?
  36. 36.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 20 years. How old is Saanvi?
  37. 37.Rahul’s mother is three times as old as Rahul. Their ages add up to 16 years. How old is Rahul?
  38. 38.Solve: 6(x + 2) = 84. What is x?
  39. 39.Solve: 3p − 1 = 2. What is p?
  40. 40.Solve: 6p − 18 = 72. What is p?

Answer key

  1. 3
  2. 9
  3. 14
  4. 14
  5. 5
  6. 12
  7. 8
  8. 15
  9. 5
  10. 15
  11. 3
  12. 2
  13. 1
  14. 24
  15. 7
  16. 4
  17. 7
  18. 66
  19. 12
  20. 6
  21. 91
  22. 1
  23. 15
  24. 9
  25. 12
  26. 10
  27. 10
  28. 6
  29. 2
  30. 12
  31. 6
  32. 3
  33. 3
  34. 1
  35. 10
  36. 4
  37. 4
  38. 12
  39. 1
  40. 15

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