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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 907 · 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: 8x − 111 = 1. What is x?
  2. 2.Farhan is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  3. 3.Solve: 6m + 9 = 45. What is m?
  4. 4.Sneha’s mother is twice as old as Sneha. Their ages add up to 45 years. How old is Sneha?
  5. 5.Solve: 2n + 26 = 50. What is n?
  6. 6.Diya’s mother is three times as old as Diya. Their ages add up to 56 years. How old is Diya?
  7. 7.Solve: 6(p + 1) = 18. What is p?
  8. 8.Ananya thinks of a number, multiplies it by 3 and then adds 6. The result is 39. What is the number?
  9. 9.Solve: n/2 + 3 = 6. What is n?
  10. 10.Rahul thinks of a number, multiplies it by 4 and then adds 12. The result is 36. What is the number?
  11. 11.Solve: n/4 + 10 = 23. What is n?
  12. 12.Aditya thinks of a number, multiplies it by 5 and then adds 29. The result is 79. What is the number?
  13. 13.Vivaan thinks of a number, multiplies it by 3 and then adds 12. The result is 57. What is the number?
  14. 14.Ananya thinks of a number, multiplies it by 4 and then adds 22. The result is 30. What is the number?
  15. 15.Vivaan thinks of a number, multiplies it by 8 and then adds 9. The result is 49. What is the number?
  16. 16.Solve: 5p + 16 = 91. What is p?
  17. 17.Rahul thinks of a number, multiplies it by 2 and then adds 13. The result is 29. What is the number?
  18. 18.Solve: 7p − 24 = 4. What is p?
  19. 19.Solve: 7m + 30 = 37. What is m?
  20. 20.Solve: 5p − 26 = 14. What is p?
  21. 21.Arjun is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  22. 22.Solve: m/4 + 6 = 19. What is m?
  23. 23.Pooja is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  24. 24.Solve: x/7 + 18 = 23. What is x?
  25. 25.Farhan is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  26. 26.Solve: n/3 + 4 = 18. What is n?
  27. 27.Solve: 4m − 8 = 8. What is m?
  28. 28.Solve: 4n + 2 = 18. What is n?
  29. 29.Aarav’s mother is three times as old as Aarav. Their ages add up to 20 years. How old is Aarav?
  30. 30.Kavya’s mother is four times as old as Kavya. Their ages add up to 40 years. How old is Kavya?
  31. 31.Solve: 7t − 3 = 4. What is t?
  32. 32.Solve: 6y − 12 = 42. What is y?
  33. 33.Solve: 6x + 1 = 31. What is x?
  34. 34.Pooja thinks of a number, multiplies it by 3 and then adds 25. The result is 67. What is the number?
  35. 35.Solve: 4y − 19 = 1. What is y?
  36. 36.Solve: 8x + 7 = 31. What is x?
  37. 37.Solve: y/4 + 9 = 23. What is y?
  38. 38.Ishaan thinks of a number, multiplies it by 9 and then adds 6. The result is 96. What is the number?
  39. 39.Solve: m/5 + 12 = 15. What is m?
  40. 40.Gurpreet is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?

Answer key

  1. 14
  2. 15
  3. 6
  4. 15
  5. 12
  6. 14
  7. 2
  8. 11
  9. 6
  10. 6
  11. 52
  12. 10
  13. 15
  14. 2
  15. 5
  16. 15
  17. 8
  18. 4
  19. 1
  20. 8
  21. 14
  22. 52
  23. 5
  24. 35
  25. 8
  26. 42
  27. 4
  28. 4
  29. 5
  30. 8
  31. 1
  32. 9
  33. 5
  34. 14
  35. 5
  36. 3
  37. 56
  38. 10
  39. 15
  40. 4

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