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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 706 · 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: 7m + 30 = 44. What is m?
  2. 2.Solve: 7t − 56 = 35. What is t?
  3. 3.Solve: 2m − 5 = 1. What is m?
  4. 4.Solve: 5x + 22 = 97. What is x?
  5. 5.Solve: 5y + 7 = 32. What is y?
  6. 6.Farhan is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  7. 7.Solve: m/5 + 18 = 30. What is m?
  8. 8.Isha’s mother is four times as old as Isha. Their ages add up to 50 years. How old is Isha?
  9. 9.Solve: 9x + 2 = 110. What is x?
  10. 10.Solve: 5(x + 2) = 15. What is x?
  11. 11.Solve: 6(t + 4) = 114. What is t?
  12. 12.Solve: 2x + 6 = 14. What is x?
  13. 13.Solve: 2(x + 9) = 22. What is x?
  14. 14.Solve: 8p + 19 = 99. What is p?
  15. 15.Solve: 9n − 22 = 77. What is n?
  16. 16.Kabir’s mother is twice as old as Kabir. Their ages add up to 39 years. How old is Kabir?
  17. 17.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 12 years. How old is Lakshmi?
  18. 18.Solve: y/8 + 3 = 11. What is y?
  19. 19.Solve: y/2 + 14 = 19. What is y?
  20. 20.Solve: 9y − 30 = 87. What is y?
  21. 21.Solve: n/9 + 20 = 34. What is n?
  22. 22.Meera thinks of a number, multiplies it by 6 and then adds 12. The result is 18. What is the number?
  23. 23.Karan thinks of a number, multiplies it by 3 and then adds 21. The result is 36. What is the number?
  24. 24.Solve: 8t − 2 = 6. What is t?
  25. 25.Vivaan thinks of a number, multiplies it by 4 and then adds 17. The result is 29. What is the number?
  26. 26.Solve: t/9 + 7 = 12. What is t?
  27. 27.Solve: 3m − 2 = 10. What is m?
  28. 28.Solve: 7x + 19 = 40. What is x?
  29. 29.Solve: 3t + 4 = 31. What is t?
  30. 30.Diya’s mother is four times as old as Diya. Their ages add up to 60 years. How old is Diya?
  31. 31.Solve: 7p − 2 = 68. What is p?
  32. 32.Solve: 9y + 29 = 65. What is y?
  33. 33.Diya thinks of a number, multiplies it by 9 and then adds 30. The result is 66. What is the number?
  34. 34.Rohan thinks of a number, multiplies it by 9 and then adds 28. The result is 145. What is the number?
  35. 35.Solve: y/2 + 19 = 22. What is y?
  36. 36.Pooja thinks of a number, multiplies it by 8 and then adds 6. The result is 86. What is the number?
  37. 37.Solve: 4(y + 2) = 36. What is y?
  38. 38.Isha is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  39. 39.Solve: 9p − 76 = 5. What is p?
  40. 40.Solve: 4p + 13 = 69. What is p?

Answer key

  1. 2
  2. 13
  3. 3
  4. 15
  5. 5
  6. 7
  7. 60
  8. 10
  9. 12
  10. 1
  11. 15
  12. 4
  13. 2
  14. 10
  15. 11
  16. 13
  17. 4
  18. 64
  19. 10
  20. 13
  21. 126
  22. 1
  23. 5
  24. 1
  25. 3
  26. 45
  27. 4
  28. 3
  29. 9
  30. 12
  31. 10
  32. 4
  33. 4
  34. 13
  35. 6
  36. 10
  37. 7
  38. 13
  39. 9
  40. 14

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