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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 493 · 40 sums
TalentJR

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: 4x − 1 = 11. What is x?
  2. 2.Solve: x/7 + 15 = 21. What is x?
  3. 3.Isha thinks of a number, multiplies it by 6 and then adds 29. The result is 77. What is the number?
  4. 4.Solve: 4(x + 1) = 24. What is x?
  5. 5.Solve: n/3 + 14 = 17. What is n?
  6. 6.Solve: 4(m + 7) = 80. What is m?
  7. 7.Solve: 3p − 15 = 12. What is p?
  8. 8.Solve: 9y + 1 = 127. What is y?
  9. 9.Solve: 6m − 10 = 62. What is m?
  10. 10.Solve: 5y − 6 = 64. What is y?
  11. 11.Solve: 9t − 5 = 58. What is t?
  12. 12.Solve: 9(n + 3) = 72. What is n?
  13. 13.Solve: 3y − 5 = 28. What is y?
  14. 14.Solve: 9n − 85 = 23. What is n?
  15. 15.Solve: 7m + 29 = 64. What is m?
  16. 16.Rohan thinks of a number, multiplies it by 3 and then adds 13. The result is 40. What is the number?
  17. 17.Solve: n/9 + 16 = 27. What is n?
  18. 18.Solve: 8n + 9 = 57. What is n?
  19. 19.Solve: 4x + 16 = 20. What is x?
  20. 20.Solve: m/5 + 8 = 20. What is m?
  21. 21.Zoya is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  22. 22.Solve: 2(p + 4) = 20. What is p?
  23. 23.Sneha thinks of a number, multiplies it by 4 and then adds 10. The result is 34. What is the number?
  24. 24.Solve: 9n + 11 = 47. What is n?
  25. 25.Solve: p/4 + 12 = 25. What is p?
  26. 26.Solve: 4(n + 3) = 68. What is n?
  27. 27.Solve: 9(m + 3) = 54. What is m?
  28. 28.Solve: 5(t + 3) = 80. What is t?
  29. 29.Solve: t/3 + 5 = 19. What is t?
  30. 30.Joseph’s mother is three times as old as Joseph. Their ages add up to 44 years. How old is Joseph?
  31. 31.Solve: m/7 + 18 = 23. What is m?
  32. 32.Kabir’s mother is four times as old as Kabir. Their ages add up to 40 years. How old is Kabir?
  33. 33.Kabir is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  34. 34.Solve: x/2 + 9 = 10. What is x?
  35. 35.Manav is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  36. 36.Meera is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  37. 37.Joseph thinks of a number, multiplies it by 3 and then adds 2. The result is 41. What is the number?
  38. 38.Priya’s mother is four times as old as Priya. Their ages add up to 65 years. How old is Priya?
  39. 39.Solve: 4m − 17 = 23. What is m?
  40. 40.Solve: 3(x + 9) = 57. What is x?

Answer key

  1. 3
  2. 42
  3. 8
  4. 5
  5. 9
  6. 13
  7. 9
  8. 14
  9. 12
  10. 14
  11. 7
  12. 5
  13. 11
  14. 12
  15. 5
  16. 9
  17. 99
  18. 6
  19. 1
  20. 60
  21. 14
  22. 6
  23. 6
  24. 4
  25. 52
  26. 14
  27. 3
  28. 13
  29. 42
  30. 11
  31. 35
  32. 8
  33. 7
  34. 2
  35. 4
  36. 13
  37. 13
  38. 13
  39. 10
  40. 10

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