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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 483 · 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: 4m + 18 = 66. What is m?
  2. 2.Solve: 7p − 69 = 29. What is p?
  3. 3.Solve: 4y − 46 = 10. What is y?
  4. 4.Kavya thinks of a number, multiplies it by 3 and then adds 5. The result is 26. What is the number?
  5. 5.Diya thinks of a number, multiplies it by 6 and then adds 16. The result is 88. What is the number?
  6. 6.Solve: 7m + 5 = 12. What is m?
  7. 7.Solve: 4n + 25 = 81. What is n?
  8. 8.Solve: 7(m + 6) = 98. What is m?
  9. 9.Solve: 8t − 6 = 10. What is t?
  10. 10.Sneha is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  11. 11.Solve: 6n − 15 = 9. What is n?
  12. 12.Solve: 9(p + 1) = 108. What is p?
  13. 13.Diya is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  14. 14.Solve: t/5 + 5 = 11. What is t?
  15. 15.Aarav thinks of a number, multiplies it by 5 and then adds 3. The result is 73. What is the number?
  16. 16.Vivaan thinks of a number, multiplies it by 5 and then adds 26. The result is 36. What is the number?
  17. 17.Solve: m/2 + 9 = 21. What is m?
  18. 18.Solve: 6y − 13 = 53. What is y?
  19. 19.Solve: 2y + 3 = 11. What is y?
  20. 20.Dev thinks of a number, multiplies it by 8 and then adds 15. The result is 119. What is the number?
  21. 21.Solve: y/5 + 2 = 12. What is y?
  22. 22.Rohan is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  23. 23.Solve: 5x − 24 = 31. What is x?
  24. 24.Solve: 8p + 2 = 34. What is p?
  25. 25.Solve: 3t + 1 = 34. What is t?
  26. 26.Zoya’s mother is twice as old as Zoya. Their ages add up to 21 years. How old is Zoya?
  27. 27.Solve: y/7 + 18 = 27. What is y?
  28. 28.Solve: 7m − 6 = 1. What is m?
  29. 29.Ananya thinks of a number, multiplies it by 4 and then adds 2. The result is 54. What is the number?
  30. 30.Rahul is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  31. 31.Solve: 2x + 13 = 17. What is x?
  32. 32.Solve: 5(t + 3) = 30. What is t?
  33. 33.Solve: 8p − 57 = 39. What is p?
  34. 34.Solve: 4p + 1 = 61. What is p?
  35. 35.Solve: 8m − 3 = 5. What is m?
  36. 36.Meera thinks of a number, multiplies it by 9 and then adds 18. The result is 90. What is the number?
  37. 37.Ananya thinks of a number, multiplies it by 2 and then adds 21. The result is 37. What is the number?
  38. 38.Solve: n/2 + 8 = 11. What is n?
  39. 39.Solve: y/4 + 14 = 26. What is y?
  40. 40.Aditya’s mother is twice as old as Aditya. Their ages add up to 33 years. How old is Aditya?

Answer key

  1. 12
  2. 14
  3. 14
  4. 7
  5. 12
  6. 1
  7. 14
  8. 8
  9. 2
  10. 5
  11. 4
  12. 11
  13. 7
  14. 30
  15. 14
  16. 2
  17. 24
  18. 11
  19. 4
  20. 13
  21. 50
  22. 4
  23. 11
  24. 4
  25. 11
  26. 7
  27. 63
  28. 1
  29. 13
  30. 11
  31. 2
  32. 3
  33. 12
  34. 15
  35. 1
  36. 8
  37. 8
  38. 6
  39. 48
  40. 11

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