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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 56 · 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: 8m + 11 = 131. What is m?
  2. 2.Priya thinks of a number, multiplies it by 4 and then adds 17. The result is 57. What is the number?
  3. 3.Solve: 6t − 3 = 87. What is t?
  4. 4.Ananya thinks of a number, multiplies it by 4 and then adds 5. The result is 65. What is the number?
  5. 5.Zoya thinks of a number, multiplies it by 7 and then adds 29. The result is 85. What is the number?
  6. 6.Solve: 2n − 15 = 1. What is n?
  7. 7.Solve: t/8 + 19 = 24. What is t?
  8. 8.Solve: 9p + 15 = 78. What is p?
  9. 9.Lakshmi thinks of a number, multiplies it by 6 and then adds 18. The result is 90. What is the number?
  10. 10.Solve: t/5 + 3 = 15. What is t?
  11. 11.Solve: 2y + 1 = 19. What is y?
  12. 12.Solve: 2t − 21 = 5. What is t?
  13. 13.Solve: 9t + 22 = 58. What is t?
  14. 14.Solve: 6n − 5 = 37. What is n?
  15. 15.Kabir’s mother is four times as old as Kabir. Their ages add up to 60 years. How old is Kabir?
  16. 16.Solve: 4(x + 1) = 32. What is x?
  17. 17.Solve: 9m + 21 = 138. What is m?
  18. 18.Pooja is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  19. 19.Solve: 9y + 1 = 10. What is y?
  20. 20.Tara thinks of a number, multiplies it by 2 and then adds 8. The result is 36. What is the number?
  21. 21.Solve: 8n − 25 = 39. What is n?
  22. 22.Solve: 2(t + 8) = 20. What is t?
  23. 23.Solve: 5(p + 8) = 70. What is p?
  24. 24.Solve: 5t + 10 = 60. What is t?
  25. 25.Solve: 7(x + 2) = 42. What is x?
  26. 26.Solve: 7x − 1 = 6. What is x?
  27. 27.Solve: y/7 + 8 = 21. What is y?
  28. 28.Joseph’s mother is four times as old as Joseph. Their ages add up to 75 years. How old is Joseph?
  29. 29.Solve: p/9 + 1 = 3. What is p?
  30. 30.Solve: 3m + 7 = 31. What is m?
  31. 31.Solve: 4(t + 3) = 20. What is t?
  32. 32.Solve: t/9 + 16 = 28. What is t?
  33. 33.Rahul is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  34. 34.Kabir is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  35. 35.Solve: y/2 + 6 = 7. What is y?
  36. 36.Solve: 7m − 3 = 4. What is m?
  37. 37.Solve: y/2 + 16 = 28. What is y?
  38. 38.Solve: 2x − 2 = 2. What is x?
  39. 39.Solve: t/6 + 15 = 23. What is t?
  40. 40.Solve: 5p − 10 = 15. What is p?

Answer key

  1. 15
  2. 10
  3. 15
  4. 15
  5. 8
  6. 8
  7. 40
  8. 7
  9. 12
  10. 60
  11. 9
  12. 13
  13. 4
  14. 7
  15. 12
  16. 7
  17. 13
  18. 5
  19. 1
  20. 14
  21. 8
  22. 2
  23. 6
  24. 10
  25. 4
  26. 1
  27. 91
  28. 15
  29. 18
  30. 8
  31. 2
  32. 108
  33. 9
  34. 4
  35. 2
  36. 1
  37. 24
  38. 2
  39. 48
  40. 5

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