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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 497 · 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: m/7 + 16 = 21. What is m?
  2. 2.Solve: 7x + 23 = 65. What is x?
  3. 3.Solve: 8x − 60 = 60. What is x?
  4. 4.Dev thinks of a number, multiplies it by 5 and then adds 18. The result is 28. What is the number?
  5. 5.Solve: 2y + 2 = 16. What is y?
  6. 6.Solve: 4(y + 9) = 52. What is y?
  7. 7.Riya thinks of a number, multiplies it by 2 and then adds 19. The result is 37. What is the number?
  8. 8.Saanvi is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  9. 9.Solve: 2x + 16 = 22. What is x?
  10. 10.Solve: 6t − 14 = 10. What is t?
  11. 11.Aditya thinks of a number, multiplies it by 3 and then adds 30. The result is 63. What is the number?
  12. 12.Solve: 7x − 8 = 20. What is x?
  13. 13.Solve: 3(x + 1) = 33. What is x?
  14. 14.Solve: 2n + 22 = 44. What is n?
  15. 15.Solve: 8(x + 1) = 64. What is x?
  16. 16.Solve: 2p + 1 = 7. What is p?
  17. 17.Zoya thinks of a number, multiplies it by 3 and then adds 22. The result is 52. What is the number?
  18. 18.Solve: 4p − 18 = 10. What is p?
  19. 19.Rohan thinks of a number, multiplies it by 3 and then adds 17. The result is 38. What is the number?
  20. 20.Solve: 6x + 12 = 72. What is x?
  21. 21.Solve: 7p + 22 = 43. What is p?
  22. 22.Solve: 4y + 16 = 72. What is y?
  23. 23.Solve: t/7 + 14 = 22. What is t?
  24. 24.Solve: x/2 + 3 = 8. What is x?
  25. 25.Farhan thinks of a number, multiplies it by 8 and then adds 12. The result is 124. What is the number?
  26. 26.Solve: 2(p + 8) = 18. What is p?
  27. 27.Solve: 2m + 13 = 41. What is m?
  28. 28.Solve: 6x − 26 = 28. What is x?
  29. 29.Solve: 6m − 46 = 20. What is m?
  30. 30.Solve: 2x + 16 = 20. What is x?
  31. 31.Solve: 3n − 2 = 37. What is n?
  32. 32.Solve: 4m − 5 = 23. What is m?
  33. 33.Solve: 9x − 18 = 9. What is x?
  34. 34.Karan thinks of a number, multiplies it by 6 and then adds 22. The result is 106. What is the number?
  35. 35.Solve: 2m + 17 = 35. What is m?
  36. 36.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 48 years. How old is Ishaan?
  37. 37.Solve: 4(m + 3) = 28. What is m?
  38. 38.Solve: 4t + 17 = 61. What is t?
  39. 39.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 75 years. How old is Ishaan?
  40. 40.Solve: 9p − 1 = 17. What is p?

Answer key

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

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