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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 380 · 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: 8m + 4 = 100. What is m?
  2. 2.Solve: 5n − 3 = 17. What is n?
  3. 3.Riya thinks of a number, multiplies it by 8 and then adds 10. The result is 50. What is the number?
  4. 4.Solve: 6p − 1 = 11. What is p?
  5. 5.Solve: 3(x + 9) = 57. What is x?
  6. 6.Joseph thinks of a number, multiplies it by 5 and then adds 28. The result is 63. What is the number?
  7. 7.Solve: n/4 + 14 = 16. What is n?
  8. 8.Kavya is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  9. 9.Rohan thinks of a number, multiplies it by 8 and then adds 4. The result is 36. What is the number?
  10. 10.Solve: 6x − 32 = 46. What is x?
  11. 11.Solve: p/6 + 1 = 5. What is p?
  12. 12.Solve: 7y + 13 = 20. What is y?
  13. 13.Solve: 2x + 20 = 34. What is x?
  14. 14.Solve: 4m − 40 = 20. What is m?
  15. 15.Solve: 8y + 24 = 128. What is y?
  16. 16.Solve: 8(x + 5) = 136. What is x?
  17. 17.Solve: 5n + 28 = 93. What is n?
  18. 18.Solve: 8m + 2 = 10. What is m?
  19. 19.Solve: 7t + 11 = 32. What is t?
  20. 20.Solve: n/2 + 1 = 7. What is n?
  21. 21.Zoya is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  22. 22.Aarav’s mother is four times as old as Aarav. Their ages add up to 70 years. How old is Aarav?
  23. 23.Solve: 6y + 29 = 59. What is y?
  24. 24.Solve: 9m + 16 = 61. What is m?
  25. 25.Kabir’s mother is twice as old as Kabir. Their ages add up to 24 years. How old is Kabir?
  26. 26.Isha is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  27. 27.Solve: 6t − 22 = 32. What is t?
  28. 28.Rohan is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  29. 29.Solve: 5(t + 7) = 50. What is t?
  30. 30.Karan is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  31. 31.Nisha thinks of a number, multiplies it by 3 and then adds 30. The result is 60. What is the number?
  32. 32.Solve: 5x − 6 = 4. What is x?
  33. 33.Diya thinks of a number, multiplies it by 5 and then adds 11. The result is 21. What is the number?
  34. 34.Solve: 9(p + 1) = 126. What is p?
  35. 35.Solve: 9m − 86 = 22. What is m?
  36. 36.Solve: 7p + 24 = 31. What is p?
  37. 37.Solve: 5m + 27 = 67. What is m?
  38. 38.Kabir thinks of a number, multiplies it by 2 and then adds 11. The result is 27. What is the number?
  39. 39.Solve: 2y + 27 = 31. What is y?
  40. 40.Solve: p/6 + 13 = 17. What is p?

Answer key

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

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