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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 626 · 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.Karan thinks of a number, multiplies it by 6 and then adds 9. The result is 75. What is the number?
  2. 2.Solve: t/3 + 17 = 32. What is t?
  3. 3.Solve: 9n + 24 = 141. What is n?
  4. 4.Aditya thinks of a number, multiplies it by 7 and then adds 12. The result is 47. What is the number?
  5. 5.Solve: 3p + 19 = 40. What is p?
  6. 6.Tara’s mother is four times as old as Tara. Their ages add up to 70 years. How old is Tara?
  7. 7.Solve: 2p + 23 = 33. What is p?
  8. 8.Solve: 5t + 6 = 61. What is t?
  9. 9.Solve: 2m − 11 = 19. What is m?
  10. 10.Solve: t/2 + 18 = 19. What is t?
  11. 11.Solve: 8p − 72 = 40. What is p?
  12. 12.Joseph thinks of a number, multiplies it by 5 and then adds 23. The result is 83. What is the number?
  13. 13.Ananya is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  14. 14.Solve: 4n + 29 = 89. What is n?
  15. 15.Diya thinks of a number, multiplies it by 2 and then adds 6. The result is 12. What is the number?
  16. 16.Solve: 9(y + 3) = 108. What is y?
  17. 17.Pooja’s mother is twice as old as Pooja. Their ages add up to 39 years. How old is Pooja?
  18. 18.Meera is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  19. 19.Meera is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  20. 20.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 36 years. How old is Ishaan?
  21. 21.Solve: 8y + 14 = 126. What is y?
  22. 22.Solve: 5m + 25 = 95. What is m?
  23. 23.Solve: 7x + 12 = 117. What is x?
  24. 24.Solve: t/8 + 11 = 19. What is t?
  25. 25.Solve: 3(m + 7) = 57. What is m?
  26. 26.Solve: y/5 + 18 = 23. What is y?
  27. 27.Solve: 3t + 13 = 31. What is t?
  28. 28.Solve: y/8 + 18 = 28. What is y?
  29. 29.Solve: t/3 + 20 = 24. What is t?
  30. 30.Solve: 2(n + 2) = 24. What is n?
  31. 31.Dev is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  32. 32.Manav thinks of a number, multiplies it by 9 and then adds 20. The result is 56. What is the number?
  33. 33.Solve: 8(p + 5) = 48. What is p?
  34. 34.Solve: 6n + 18 = 48. What is n?
  35. 35.Solve: 8y + 13 = 117. What is y?
  36. 36.Solve: 9(t + 1) = 90. What is t?
  37. 37.Solve: 2(p + 3) = 32. What is p?
  38. 38.Solve: 9y − 23 = 13. What is y?
  39. 39.Solve: y/2 + 14 = 16. What is y?
  40. 40.Sneha thinks of a number, multiplies it by 2 and then adds 1. The result is 17. What is the number?

Answer key

  1. 11
  2. 45
  3. 13
  4. 5
  5. 7
  6. 14
  7. 5
  8. 11
  9. 15
  10. 2
  11. 14
  12. 12
  13. 11
  14. 15
  15. 3
  16. 9
  17. 13
  18. 6
  19. 10
  20. 12
  21. 14
  22. 14
  23. 15
  24. 64
  25. 12
  26. 25
  27. 6
  28. 80
  29. 12
  30. 10
  31. 7
  32. 4
  33. 1
  34. 5
  35. 13
  36. 9
  37. 13
  38. 4
  39. 4
  40. 8

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