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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 367 · 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.Priya thinks of a number, multiplies it by 9 and then adds 30. The result is 102. What is the number?
  2. 2.Meera’s mother is three times as old as Meera. Their ages add up to 52 years. How old is Meera?
  3. 3.Kavya’s mother is four times as old as Kavya. Their ages add up to 55 years. How old is Kavya?
  4. 4.Riya is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  5. 5.Joseph’s mother is twice as old as Joseph. Their ages add up to 18 years. How old is Joseph?
  6. 6.Solve: 2m − 10 = 4. What is m?
  7. 7.Solve: t/9 + 11 = 26. What is t?
  8. 8.Solve: 3p + 27 = 51. What is p?
  9. 9.Vivaan thinks of a number, multiplies it by 3 and then adds 19. The result is 22. What is the number?
  10. 10.Riya thinks of a number, multiplies it by 4 and then adds 12. The result is 72. What is the number?
  11. 11.Solve: 3p − 2 = 7. What is p?
  12. 12.Kavya thinks of a number, multiplies it by 8 and then adds 7. The result is 95. What is the number?
  13. 13.Kavya’s mother is twice as old as Kavya. Their ages add up to 42 years. How old is Kavya?
  14. 14.Solve: 7x − 21 = 14. What is x?
  15. 15.Sneha thinks of a number, multiplies it by 6 and then adds 9. The result is 87. What is the number?
  16. 16.Aditya thinks of a number, multiplies it by 2 and then adds 28. The result is 40. What is the number?
  17. 17.Aarav is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  18. 18.Rohan’s mother is four times as old as Rohan. Their ages add up to 65 years. How old is Rohan?
  19. 19.Solve: 2n + 9 = 19. What is n?
  20. 20.Solve: 6n + 28 = 70. What is n?
  21. 21.Solve: m/3 + 16 = 18. What is m?
  22. 22.Solve: 7(n + 1) = 77. What is n?
  23. 23.Vivaan is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  24. 24.Solve: t/6 + 8 = 21. What is t?
  25. 25.Solve: n/6 + 11 = 16. What is n?
  26. 26.Solve: 4(y + 5) = 44. What is y?
  27. 27.Solve: 7y + 5 = 75. What is y?
  28. 28.Rahul thinks of a number, multiplies it by 4 and then adds 18. The result is 70. What is the number?
  29. 29.Ishaan thinks of a number, multiplies it by 2 and then adds 29. The result is 35. What is the number?
  30. 30.Solve: n/9 + 9 = 20. What is n?
  31. 31.Solve: 2m − 3 = 1. What is m?
  32. 32.Nisha thinks of a number, multiplies it by 8 and then adds 6. The result is 22. What is the number?
  33. 33.Tara thinks of a number, multiplies it by 3 and then adds 12. The result is 18. What is the number?
  34. 34.Solve: 2y − 1 = 13. What is y?
  35. 35.Rahul is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  36. 36.Solve: 2n + 9 = 35. What is n?
  37. 37.Rohan’s mother is four times as old as Rohan. Their ages add up to 70 years. How old is Rohan?
  38. 38.Meera thinks of a number, multiplies it by 9 and then adds 5. The result is 131. What is the number?
  39. 39.Solve: 9x − 6 = 3. What is x?
  40. 40.Solve: 8t − 14 = 34. What is t?

Answer key

  1. 8
  2. 13
  3. 11
  4. 9
  5. 6
  6. 7
  7. 135
  8. 8
  9. 1
  10. 15
  11. 3
  12. 11
  13. 14
  14. 5
  15. 13
  16. 6
  17. 6
  18. 13
  19. 5
  20. 7
  21. 6
  22. 10
  23. 11
  24. 78
  25. 30
  26. 6
  27. 10
  28. 13
  29. 3
  30. 99
  31. 2
  32. 2
  33. 2
  34. 7
  35. 11
  36. 13
  37. 14
  38. 14
  39. 1
  40. 6

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