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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 992 · 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.Pooja thinks of a number, multiplies it by 9 and then adds 28. The result is 163. What is the number?
  2. 2.Solve: 2m + 1 = 25. What is m?
  3. 3.Ishaan thinks of a number, multiplies it by 8 and then adds 15. The result is 39. What is the number?
  4. 4.Manav is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  5. 5.Aditya’s mother is four times as old as Aditya. Their ages add up to 40 years. How old is Aditya?
  6. 6.Solve: 3n + 4 = 7. What is n?
  7. 7.Sneha thinks of a number, multiplies it by 6 and then adds 6. The result is 54. What is the number?
  8. 8.Solve: 7n − 42 = 21. What is n?
  9. 9.Solve: 7m + 14 = 91. What is m?
  10. 10.Solve: 5p + 25 = 75. What is p?
  11. 11.Vivaan thinks of a number, multiplies it by 4 and then adds 6. The result is 10. What is the number?
  12. 12.Farhan’s mother is four times as old as Farhan. Their ages add up to 65 years. How old is Farhan?
  13. 13.Priya is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  14. 14.Karan is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  15. 15.Solve: y/4 + 2 = 14. What is y?
  16. 16.Sneha is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  17. 17.Solve: 6n − 4 = 14. What is n?
  18. 18.Solve: y/2 + 19 = 26. What is y?
  19. 19.Solve: 8t + 3 = 27. What is t?
  20. 20.Solve: x/9 + 5 = 6. What is x?
  21. 21.Solve: 4m + 11 = 23. What is m?
  22. 22.Solve: p/8 + 4 = 18. What is p?
  23. 23.Solve: 5(x + 8) = 90. What is x?
  24. 24.Solve: y/6 + 15 = 21. What is y?
  25. 25.Solve: 2x + 12 = 24. What is x?
  26. 26.Arjun is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  27. 27.Solve: p/6 + 16 = 17. What is p?
  28. 28.Ishaan thinks of a number, multiplies it by 3 and then adds 2. The result is 41. What is the number?
  29. 29.Solve: t/8 + 13 = 24. What is t?
  30. 30.Solve: 2m + 29 = 51. What is m?
  31. 31.Solve: p/5 + 5 = 7. What is p?
  32. 32.Solve: 8x + 15 = 111. What is x?
  33. 33.Ishaan thinks of a number, multiplies it by 2 and then adds 13. The result is 17. What is the number?
  34. 34.Arjun’s mother is twice as old as Arjun. Their ages add up to 24 years. How old is Arjun?
  35. 35.Solve: 6y − 1 = 71. What is y?
  36. 36.Solve: 2t + 8 = 38. What is t?
  37. 37.Solve: 6y − 1 = 5. What is y?
  38. 38.Solve: 8m + 23 = 135. What is m?
  39. 39.Solve: 6(y + 1) = 90. What is y?
  40. 40.Solve: n/2 + 9 = 10. What is n?

Answer key

  1. 15
  2. 12
  3. 3
  4. 5
  5. 8
  6. 1
  7. 8
  8. 9
  9. 11
  10. 10
  11. 1
  12. 13
  13. 15
  14. 4
  15. 48
  16. 7
  17. 3
  18. 14
  19. 3
  20. 9
  21. 3
  22. 112
  23. 10
  24. 36
  25. 6
  26. 12
  27. 6
  28. 13
  29. 88
  30. 11
  31. 10
  32. 12
  33. 2
  34. 8
  35. 12
  36. 15
  37. 1
  38. 14
  39. 14
  40. 2

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