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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 895 · 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.Joseph is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  2. 2.Farhan thinks of a number, multiplies it by 3 and then adds 8. The result is 47. What is the number?
  3. 3.Solve: 8t + 12 = 20. What is t?
  4. 4.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 36 years. How old is Gurpreet?
  5. 5.Solve: 6y − 2 = 10. What is y?
  6. 6.Diya is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  7. 7.Solve: 6p + 2 = 68. What is p?
  8. 8.Solve: y/9 + 6 = 8. What is y?
  9. 9.Solve: y/7 + 19 = 31. What is y?
  10. 10.Solve: 8m − 18 = 62. What is m?
  11. 11.Solve: 8m + 1 = 49. What is m?
  12. 12.Solve: 4t + 20 = 64. What is t?
  13. 13.Solve: 7p − 40 = 23. What is p?
  14. 14.Solve: 7t − 7 = 49. What is t?
  15. 15.Solve: 2(t + 3) = 36. What is t?
  16. 16.Lakshmi is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  17. 17.Solve: 6(x + 3) = 90. What is x?
  18. 18.Diya’s mother is four times as old as Diya. Their ages add up to 20 years. How old is Diya?
  19. 19.Solve: 4y − 46 = 14. What is y?
  20. 20.Solve: 8n − 40 = 24. What is n?
  21. 21.Solve: 7y − 22 = 27. What is y?
  22. 22.Isha thinks of a number, multiplies it by 5 and then adds 29. The result is 39. What is the number?
  23. 23.Solve: 2x − 1 = 5. What is x?
  24. 24.Manav thinks of a number, multiplies it by 7 and then adds 28. The result is 84. What is the number?
  25. 25.Solve: 8x − 34 = 78. What is x?
  26. 26.Solve: 4(y + 4) = 52. What is y?
  27. 27.Solve: n/7 + 16 = 22. What is n?
  28. 28.Solve: 9x − 19 = 26. What is x?
  29. 29.Diya thinks of a number, multiplies it by 6 and then adds 4. The result is 70. What is the number?
  30. 30.Solve: 5t − 14 = 16. What is t?
  31. 31.Solve: n/9 + 3 = 9. What is n?
  32. 32.Solve: 5y − 1 = 4. What is y?
  33. 33.Solve: 7m + 1 = 85. What is m?
  34. 34.Solve: 4p − 3 = 5. What is p?
  35. 35.Solve: 4(y + 3) = 60. What is y?
  36. 36.Solve: 8x − 13 = 43. What is x?
  37. 37.Arjun thinks of a number, multiplies it by 5 and then adds 30. The result is 35. What is the number?
  38. 38.Solve: x/4 + 10 = 25. What is x?
  39. 39.Karan’s mother is twice as old as Karan. Their ages add up to 24 years. How old is Karan?
  40. 40.Solve: x/7 + 19 = 21. What is x?

Answer key

  1. 11
  2. 13
  3. 1
  4. 9
  5. 2
  6. 12
  7. 11
  8. 18
  9. 84
  10. 10
  11. 6
  12. 11
  13. 9
  14. 8
  15. 15
  16. 6
  17. 12
  18. 4
  19. 15
  20. 8
  21. 7
  22. 2
  23. 3
  24. 8
  25. 14
  26. 9
  27. 42
  28. 5
  29. 11
  30. 6
  31. 54
  32. 1
  33. 12
  34. 2
  35. 12
  36. 7
  37. 1
  38. 60
  39. 8
  40. 14

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