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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 282 · 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.Karan thinks of a number, multiplies it by 7 and then adds 4. The result is 67. What is the number?
  2. 2.Ishaan thinks of a number, multiplies it by 2 and then adds 15. The result is 39. What is the number?
  3. 3.Solve: 4(n + 3) = 52. What is n?
  4. 4.Solve: n/7 + 1 = 10. What is n?
  5. 5.Solve: t/7 + 7 = 21. What is t?
  6. 6.Solve: 6y − 10 = 14. What is y?
  7. 7.Solve: y/4 + 7 = 13. What is y?
  8. 8.Solve: 2x − 5 = 1. What is x?
  9. 9.Solve: 8p + 2 = 58. What is p?
  10. 10.Solve: 5p − 24 = 16. What is p?
  11. 11.Solve: 2n + 2 = 16. What is n?
  12. 12.Solve: 3x − 5 = 25. What is x?
  13. 13.Kavya thinks of a number, multiplies it by 2 and then adds 24. The result is 34. What is the number?
  14. 14.Meera thinks of a number, multiplies it by 2 and then adds 22. The result is 38. What is the number?
  15. 15.Solve: 3(t + 7) = 36. What is t?
  16. 16.Priya’s mother is twice as old as Priya. Their ages add up to 15 years. How old is Priya?
  17. 17.Solve: 2y − 14 = 10. What is y?
  18. 18.Solve: 9n − 48 = 69. What is n?
  19. 19.Manav is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  20. 20.Solve: 5p − 18 = 12. What is p?
  21. 21.Solve: 3y + 13 = 49. What is y?
  22. 22.Solve: 4(t + 1) = 16. What is t?
  23. 23.Solve: 5(p + 3) = 45. What is p?
  24. 24.Solve: 3x + 11 = 26. What is x?
  25. 25.Solve: 6x − 44 = 46. What is x?
  26. 26.Solve: 7x − 40 = 23. What is x?
  27. 27.Solve: 5t − 30 = 45. What is t?
  28. 28.Diya is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  29. 29.Solve: 8y + 27 = 67. What is y?
  30. 30.Aarav’s mother is twice as old as Aarav. Their ages add up to 18 years. How old is Aarav?
  31. 31.Diya thinks of a number, multiplies it by 3 and then adds 28. The result is 61. What is the number?
  32. 32.Solve: 7p + 3 = 31. What is p?
  33. 33.Solve: 8t − 3 = 13. What is t?
  34. 34.Solve: 9(t + 4) = 54. What is t?
  35. 35.Solve: m/6 + 9 = 12. What is m?
  36. 36.Zoya thinks of a number, multiplies it by 7 and then adds 13. The result is 97. What is the number?
  37. 37.Solve: m/6 + 18 = 32. What is m?
  38. 38.Solve: y/2 + 20 = 28. What is y?
  39. 39.Tara is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  40. 40.Isha thinks of a number, multiplies it by 2 and then adds 1. The result is 11. What is the number?

Answer key

  1. 9
  2. 12
  3. 10
  4. 63
  5. 98
  6. 4
  7. 24
  8. 3
  9. 7
  10. 8
  11. 7
  12. 10
  13. 5
  14. 8
  15. 5
  16. 5
  17. 12
  18. 13
  19. 10
  20. 6
  21. 12
  22. 3
  23. 6
  24. 5
  25. 15
  26. 9
  27. 15
  28. 11
  29. 5
  30. 6
  31. 11
  32. 4
  33. 2
  34. 2
  35. 18
  36. 12
  37. 84
  38. 16
  39. 4
  40. 5

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