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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 132 · 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: 5(t + 7) = 55. What is t?
  2. 2.Solve: 2(m + 5) = 34. What is m?
  3. 3.Solve: 2x + 10 = 22. What is x?
  4. 4.Pooja’s mother is twice as old as Pooja. Their ages add up to 21 years. How old is Pooja?
  5. 5.Aditya thinks of a number, multiplies it by 3 and then adds 6. The result is 45. What is the number?
  6. 6.Solve: 4m − 2 = 14. What is m?
  7. 7.Solve: 9m + 24 = 60. What is m?
  8. 8.Solve: 8m + 23 = 47. What is m?
  9. 9.Solve: 2(m + 7) = 22. What is m?
  10. 10.Joseph’s mother is twice as old as Joseph. Their ages add up to 24 years. How old is Joseph?
  11. 11.Aarav is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  12. 12.Isha thinks of a number, multiplies it by 9 and then adds 21. The result is 84. What is the number?
  13. 13.Solve: t/9 + 6 = 16. What is t?
  14. 14.Saanvi is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  15. 15.Solve: 6(p + 9) = 96. What is p?
  16. 16.Solve: 7(n + 7) = 112. What is n?
  17. 17.Solve: 2(n + 5) = 40. What is n?
  18. 18.Solve: 9y + 8 = 107. What is y?
  19. 19.Solve: y/5 + 1 = 6. What is y?
  20. 20.Meera’s mother is three times as old as Meera. Their ages add up to 28 years. How old is Meera?
  21. 21.Solve: 4(n + 6) = 40. What is n?
  22. 22.Solve: 8t − 11 = 21. What is t?
  23. 23.Solve: 3(m + 4) = 30. What is m?
  24. 24.Solve: 2p + 15 = 29. What is p?
  25. 25.Solve: 8(m + 6) = 152. What is m?
  26. 26.Diya’s mother is three times as old as Diya. Their ages add up to 60 years. How old is Diya?
  27. 27.Nisha thinks of a number, multiplies it by 7 and then adds 6. The result is 20. What is the number?
  28. 28.Solve: 3(t + 6) = 63. What is t?
  29. 29.Solve: m/4 + 17 = 22. What is m?
  30. 30.Solve: 3y − 1 = 26. What is y?
  31. 31.Solve: 4t + 6 = 62. What is t?
  32. 32.Priya is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  33. 33.Solve: 7x − 37 = 26. What is x?
  34. 34.Solve: 5(t + 3) = 50. What is t?
  35. 35.Karan is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  36. 36.Rahul thinks of a number, multiplies it by 8 and then adds 3. The result is 67. What is the number?
  37. 37.Diya thinks of a number, multiplies it by 6 and then adds 24. The result is 72. What is the number?
  38. 38.Pooja thinks of a number, multiplies it by 4 and then adds 13. The result is 21. What is the number?
  39. 39.Solve: 9m + 1 = 28. What is m?
  40. 40.Solve: 2y + 19 = 27. What is y?

Answer key

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

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