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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 82 · 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: 7x + 17 = 94. What is x?
  2. 2.Solve: n/7 + 2 = 4. What is n?
  3. 3.Solve: 3x − 6 = 24. What is x?
  4. 4.Rohan thinks of a number, multiplies it by 6 and then adds 26. The result is 80. What is the number?
  5. 5.Solve: 9y + 30 = 84. What is y?
  6. 6.Solve: p/6 + 1 = 7. What is p?
  7. 7.Aarav’s mother is twice as old as Aarav. Their ages add up to 18 years. How old is Aarav?
  8. 8.Farhan’s mother is four times as old as Farhan. Their ages add up to 60 years. How old is Farhan?
  9. 9.Dev thinks of a number, multiplies it by 2 and then adds 6. The result is 14. What is the number?
  10. 10.Solve: p/7 + 5 = 15. What is p?
  11. 11.Lakshmi thinks of a number, multiplies it by 6 and then adds 6. The result is 66. What is the number?
  12. 12.Solve: n/7 + 18 = 19. What is n?
  13. 13.Solve: 4n − 2 = 2. What is n?
  14. 14.Solve: 2(m + 1) = 18. What is m?
  15. 15.Diya is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  16. 16.Joseph thinks of a number, multiplies it by 3 and then adds 8. The result is 38. What is the number?
  17. 17.Solve: 4y + 3 = 47. What is y?
  18. 18.Solve: 7p + 21 = 49. What is p?
  19. 19.Solve: 6x − 7 = 41. What is x?
  20. 20.Solve: t/7 + 5 = 12. What is t?
  21. 21.Solve: 2y − 2 = 2. What is y?
  22. 22.Ananya is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  23. 23.Solve: 9(x + 5) = 180. What is x?
  24. 24.Solve: 7t − 2 = 12. What is t?
  25. 25.Solve: 5y + 12 = 37. What is y?
  26. 26.Solve: 8x + 6 = 22. What is x?
  27. 27.Solve: 5m + 4 = 39. What is m?
  28. 28.Solve: 6y − 39 = 15. What is y?
  29. 29.Solve: 6(n + 1) = 42. What is n?
  30. 30.Dev is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  31. 31.Solve: 7t + 19 = 54. What is t?
  32. 32.Solve: 2t + 2 = 26. What is t?
  33. 33.Solve: 4p + 7 = 15. What is p?
  34. 34.Gurpreet is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  35. 35.Solve: 9t + 4 = 85. What is t?
  36. 36.Vivaan thinks of a number, multiplies it by 2 and then adds 1. The result is 21. What is the number?
  37. 37.Zoya is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  38. 38.Solve: 3x − 10 = 26. What is x?
  39. 39.Solve: 3(m + 3) = 42. What is m?
  40. 40.Solve: 7n − 22 = 20. What is n?

Answer key

  1. 11
  2. 14
  3. 10
  4. 9
  5. 6
  6. 36
  7. 6
  8. 12
  9. 4
  10. 70
  11. 10
  12. 7
  13. 1
  14. 8
  15. 5
  16. 10
  17. 11
  18. 4
  19. 8
  20. 49
  21. 2
  22. 4
  23. 15
  24. 2
  25. 5
  26. 2
  27. 7
  28. 9
  29. 6
  30. 13
  31. 5
  32. 12
  33. 2
  34. 10
  35. 9
  36. 10
  37. 5
  38. 12
  39. 11
  40. 6

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