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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 313 · 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.Ananya thinks of a number, multiplies it by 9 and then adds 13. The result is 58. What is the number?
  2. 2.Solve: 6p + 26 = 86. What is p?
  3. 3.Solve: y/9 + 6 = 16. What is y?
  4. 4.Solve: 9p + 4 = 130. What is p?
  5. 5.Solve: 2m − 20 = 2. What is m?
  6. 6.Solve: 9(t + 1) = 45. What is t?
  7. 7.Solve: x/7 + 7 = 13. What is x?
  8. 8.Solve: 2x − 7 = 9. What is x?
  9. 9.Solve: t/3 + 2 = 13. What is t?
  10. 10.Solve: 9y − 14 = 4. What is y?
  11. 11.Solve: t/8 + 19 = 21. What is t?
  12. 12.Karan’s mother is twice as old as Karan. Their ages add up to 21 years. How old is Karan?
  13. 13.Rahul’s mother is four times as old as Rahul. Their ages add up to 65 years. How old is Rahul?
  14. 14.Solve: 6(t + 3) = 48. What is t?
  15. 15.Solve: 3m + 1 = 43. What is m?
  16. 16.Solve: 3y + 11 = 50. What is y?
  17. 17.Solve: t/7 + 7 = 8. What is t?
  18. 18.Solve: n/8 + 3 = 17. What is n?
  19. 19.Solve: 6(p + 5) = 102. What is p?
  20. 20.Solve: 7m + 6 = 55. What is m?
  21. 21.Lakshmi’s mother is three times as old as Lakshmi. Their ages add up to 16 years. How old is Lakshmi?
  22. 22.Solve: m/2 + 8 = 22. What is m?
  23. 23.Solve: 2p + 29 = 57. What is p?
  24. 24.Solve: 2x + 18 = 32. What is x?
  25. 25.Isha thinks of a number, multiplies it by 6 and then adds 22. The result is 88. What is the number?
  26. 26.Solve: 6(t + 9) = 108. What is t?
  27. 27.Solve: 4(x + 6) = 84. What is x?
  28. 28.Joseph thinks of a number, multiplies it by 9 and then adds 13. The result is 148. What is the number?
  29. 29.Solve: 5m + 8 = 38. What is m?
  30. 30.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 27 years. How old is Vivaan?
  31. 31.Solve: 6(m + 1) = 84. What is m?
  32. 32.Sneha thinks of a number, multiplies it by 3 and then adds 9. The result is 36. What is the number?
  33. 33.Manav’s mother is three times as old as Manav. Their ages add up to 56 years. How old is Manav?
  34. 34.Solve: 7y − 21 = 21. What is y?
  35. 35.Solve: 6(y + 1) = 60. What is y?
  36. 36.Solve: 7x + 15 = 113. What is x?
  37. 37.Ishaan is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  38. 38.Solve: 6m + 13 = 61. What is m?
  39. 39.Solve: 5m + 22 = 92. What is m?
  40. 40.Solve: y/4 + 16 = 20. What is y?

Answer key

  1. 5
  2. 10
  3. 90
  4. 14
  5. 11
  6. 4
  7. 42
  8. 8
  9. 33
  10. 2
  11. 16
  12. 7
  13. 13
  14. 5
  15. 14
  16. 13
  17. 7
  18. 112
  19. 12
  20. 7
  21. 4
  22. 28
  23. 14
  24. 7
  25. 11
  26. 9
  27. 15
  28. 15
  29. 6
  30. 9
  31. 13
  32. 9
  33. 14
  34. 6
  35. 9
  36. 14
  37. 7
  38. 8
  39. 14
  40. 16

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