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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 204 · 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.Riya thinks of a number, multiplies it by 7 and then adds 8. The result is 64. What is the number?
  2. 2.Solve: 2m − 9 = 5. What is m?
  3. 3.Solve: 4p − 9 = 11. What is p?
  4. 4.Aarav’s mother is four times as old as Aarav. Their ages add up to 75 years. How old is Aarav?
  5. 5.Rohan’s mother is three times as old as Rohan. Their ages add up to 60 years. How old is Rohan?
  6. 6.Solve: n/9 + 15 = 25. What is n?
  7. 7.Aarav is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  8. 8.Arjun is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  9. 9.Solve: 9(n + 7) = 135. What is n?
  10. 10.Ananya is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  11. 11.Solve: 7t − 19 = 65. What is t?
  12. 12.Aarav thinks of a number, multiplies it by 4 and then adds 5. The result is 33. What is the number?
  13. 13.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 27 years. How old is Lakshmi?
  14. 14.Karan’s mother is four times as old as Karan. Their ages add up to 20 years. How old is Karan?
  15. 15.Manav thinks of a number, multiplies it by 6 and then adds 10. The result is 34. What is the number?
  16. 16.Ananya thinks of a number, multiplies it by 6 and then adds 22. The result is 58. What is the number?
  17. 17.Aarav is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  18. 18.Solve: 9(m + 6) = 108. What is m?
  19. 19.Solve: p/6 + 19 = 34. What is p?
  20. 20.Solve: y/5 + 1 = 13. What is y?
  21. 21.Ishaan thinks of a number, multiplies it by 3 and then adds 29. The result is 35. What is the number?
  22. 22.Nisha thinks of a number, multiplies it by 6 and then adds 24. The result is 72. What is the number?
  23. 23.Solve: 8(m + 7) = 88. What is m?
  24. 24.Priya thinks of a number, multiplies it by 8 and then adds 21. The result is 37. What is the number?
  25. 25.Solve: 3x − 2 = 1. What is x?
  26. 26.Karan’s mother is three times as old as Karan. Their ages add up to 60 years. How old is Karan?
  27. 27.Solve: 9t − 13 = 5. What is t?
  28. 28.Solve: 9y + 1 = 46. What is y?
  29. 29.Solve: 2m + 28 = 50. What is m?
  30. 30.Solve: 7n − 20 = 15. What is n?
  31. 31.Solve: 2n + 30 = 32. What is n?
  32. 32.Solve: 3(t + 7) = 66. What is t?
  33. 33.Solve: 5t + 5 = 15. What is t?
  34. 34.Solve: 6(y + 1) = 36. What is y?
  35. 35.Solve: 4y − 38 = 10. What is y?
  36. 36.Karan thinks of a number, multiplies it by 5 and then adds 25. The result is 70. What is the number?
  37. 37.Solve: p/6 + 11 = 12. What is p?
  38. 38.Meera thinks of a number, multiplies it by 6 and then adds 12. The result is 78. What is the number?
  39. 39.Solve: 8x − 30 = 58. What is x?
  40. 40.Solve: 8m − 5 = 11. What is m?

Answer key

  1. 8
  2. 7
  3. 5
  4. 15
  5. 15
  6. 90
  7. 7
  8. 7
  9. 8
  10. 5
  11. 12
  12. 7
  13. 9
  14. 4
  15. 4
  16. 6
  17. 7
  18. 6
  19. 90
  20. 60
  21. 2
  22. 8
  23. 4
  24. 2
  25. 1
  26. 15
  27. 2
  28. 5
  29. 11
  30. 5
  31. 1
  32. 15
  33. 2
  34. 5
  35. 12
  36. 9
  37. 6
  38. 11
  39. 11
  40. 2

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