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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 59 · 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: 2y + 28 = 52. What is y?
  2. 2.Solve: 6(y + 9) = 120. What is y?
  3. 3.Solve: y/5 + 7 = 18. What is y?
  4. 4.Solve: 2(x + 8) = 38. What is x?
  5. 5.Solve: y/4 + 8 = 11. What is y?
  6. 6.Solve: p/6 + 18 = 25. What is p?
  7. 7.Solve: y/7 + 15 = 27. What is y?
  8. 8.Solve: x/8 + 2 = 15. What is x?
  9. 9.Solve: 3(x + 6) = 27. What is x?
  10. 10.Meera is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  11. 11.Solve: x/6 + 15 = 26. What is x?
  12. 12.Solve: 4t + 11 = 19. What is t?
  13. 13.Solve: 3(m + 5) = 30. What is m?
  14. 14.Isha’s mother is twice as old as Isha. Their ages add up to 42 years. How old is Isha?
  15. 15.Solve: 8(y + 1) = 72. What is y?
  16. 16.Solve: p/9 + 19 = 26. What is p?
  17. 17.Solve: 3m − 5 = 25. What is m?
  18. 18.Solve: t/2 + 7 = 12. What is t?
  19. 19.Solve: 2t + 8 = 10. What is t?
  20. 20.Solve: y/4 + 11 = 18. What is y?
  21. 21.Solve: 4t − 31 = 21. What is t?
  22. 22.Solve: 3(n + 7) = 45. What is n?
  23. 23.Solve: 3(t + 1) = 33. What is t?
  24. 24.Solve: t/9 + 10 = 23. What is t?
  25. 25.Solve: 2p + 20 = 32. What is p?
  26. 26.Lakshmi thinks of a number, multiplies it by 9 and then adds 24. The result is 114. What is the number?
  27. 27.Aarav thinks of a number, multiplies it by 5 and then adds 19. The result is 79. What is the number?
  28. 28.Solve: 7x + 13 = 90. What is x?
  29. 29.Solve: 7x + 28 = 63. What is x?
  30. 30.Riya is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  31. 31.Solve: n/9 + 1 = 4. What is n?
  32. 32.Solve: 8y + 2 = 98. What is y?
  33. 33.Sneha thinks of a number, multiplies it by 2 and then adds 19. The result is 23. What is the number?
  34. 34.Solve: 6t − 19 = 41. What is t?
  35. 35.Solve: 3(t + 1) = 42. What is t?
  36. 36.Meera is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  37. 37.Solve: 6m − 21 = 3. What is m?
  38. 38.Solve: 2m − 1 = 5. What is m?
  39. 39.Solve: 2(t + 8) = 36. What is t?
  40. 40.Dev is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?

Answer key

  1. 12
  2. 11
  3. 55
  4. 11
  5. 12
  6. 42
  7. 84
  8. 104
  9. 3
  10. 12
  11. 66
  12. 2
  13. 5
  14. 14
  15. 8
  16. 63
  17. 10
  18. 10
  19. 1
  20. 28
  21. 13
  22. 8
  23. 10
  24. 117
  25. 6
  26. 10
  27. 12
  28. 11
  29. 5
  30. 7
  31. 27
  32. 12
  33. 2
  34. 10
  35. 13
  36. 15
  37. 4
  38. 3
  39. 10
  40. 5

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