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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 873 · 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: 2p + 17 = 39. What is p?
  2. 2.Solve: 7m − 3 = 46. What is m?
  3. 3.Solve: 9p − 68 = 31. What is p?
  4. 4.Solve: 2x − 3 = 21. What is x?
  5. 5.Solve: 6y + 8 = 14. What is y?
  6. 6.Solve: 6(y + 6) = 72. What is y?
  7. 7.Solve: 5t + 26 = 96. What is t?
  8. 8.Solve: m/9 + 14 = 18. What is m?
  9. 9.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 15 years. How old is Gurpreet?
  10. 10.Solve: 6p + 8 = 14. What is p?
  11. 11.Solve: 9(m + 2) = 135. What is m?
  12. 12.Solve: 2p − 1 = 11. What is p?
  13. 13.Solve: t/6 + 20 = 34. What is t?
  14. 14.Solve: 2n + 18 = 38. What is n?
  15. 15.Solve: 8y − 23 = 97. What is y?
  16. 16.Solve: p/4 + 1 = 9. What is p?
  17. 17.Solve: 4(y + 2) = 52. What is y?
  18. 18.Dev is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  19. 19.Solve: 3m + 24 = 42. What is m?
  20. 20.Solve: 5p + 13 = 68. What is p?
  21. 21.Farhan thinks of a number, multiplies it by 8 and then adds 5. The result is 77. What is the number?
  22. 22.Arjun is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  23. 23.Solve: y/5 + 3 = 13. What is y?
  24. 24.Solve: 8p − 11 = 5. What is p?
  25. 25.Kavya is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  26. 26.Solve: m/2 + 12 = 23. What is m?
  27. 27.Ishaan thinks of a number, multiplies it by 4 and then adds 17. The result is 37. What is the number?
  28. 28.Solve: 8p + 16 = 64. What is p?
  29. 29.Solve: 9(p + 4) = 90. What is p?
  30. 30.Lakshmi thinks of a number, multiplies it by 6 and then adds 27. The result is 33. What is the number?
  31. 31.Solve: y/3 + 8 = 16. What is y?
  32. 32.Solve: p/4 + 9 = 15. What is p?
  33. 33.Solve: 3n − 9 = 12. What is n?
  34. 34.Solve: 6t + 14 = 86. What is t?
  35. 35.Nisha thinks of a number, multiplies it by 4 and then adds 15. The result is 59. What is the number?
  36. 36.Solve: 5(m + 9) = 75. What is m?
  37. 37.Pooja thinks of a number, multiplies it by 6 and then adds 18. The result is 96. What is the number?
  38. 38.Solve: y/4 + 20 = 27. What is y?
  39. 39.Solve: 5y − 31 = 29. What is y?
  40. 40.Aditya’s mother is twice as old as Aditya. Their ages add up to 15 years. How old is Aditya?

Answer key

  1. 11
  2. 7
  3. 11
  4. 12
  5. 1
  6. 6
  7. 14
  8. 36
  9. 5
  10. 1
  11. 13
  12. 6
  13. 84
  14. 10
  15. 15
  16. 32
  17. 11
  18. 6
  19. 6
  20. 11
  21. 9
  22. 7
  23. 50
  24. 2
  25. 11
  26. 22
  27. 5
  28. 6
  29. 6
  30. 1
  31. 24
  32. 24
  33. 7
  34. 12
  35. 11
  36. 6
  37. 13
  38. 28
  39. 12
  40. 5

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