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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 884 · 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: 6p − 21 = 33. What is p?
  2. 2.Solve: 7(t + 8) = 70. What is t?
  3. 3.Meera thinks of a number, multiplies it by 2 and then adds 4. The result is 30. What is the number?
  4. 4.Solve: 2y + 27 = 55. What is y?
  5. 5.Solve: 3p − 26 = 7. What is p?
  6. 6.Solve: 4x + 3 = 43. What is x?
  7. 7.Arjun thinks of a number, multiplies it by 4 and then adds 1. The result is 45. What is the number?
  8. 8.Gurpreet thinks of a number, multiplies it by 7 and then adds 5. The result is 75. What is the number?
  9. 9.Solve: t/9 + 19 = 24. What is t?
  10. 10.Solve: 4p − 6 = 30. What is p?
  11. 11.Solve: 8(x + 4) = 104. What is x?
  12. 12.Solve: 9n − 64 = 44. What is n?
  13. 13.Meera is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  14. 14.Karan thinks of a number, multiplies it by 6 and then adds 8. The result is 44. What is the number?
  15. 15.Solve: 8(m + 4) = 48. What is m?
  16. 16.Solve: x/2 + 7 = 18. What is x?
  17. 17.Solve: x/3 + 1 = 5. What is x?
  18. 18.Arjun thinks of a number, multiplies it by 9 and then adds 18. The result is 72. What is the number?
  19. 19.Solve: t/4 + 4 = 9. What is t?
  20. 20.Rohan is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  21. 21.Solve: 6n + 8 = 98. What is n?
  22. 22.Solve: 8(t + 9) = 152. What is t?
  23. 23.Solve: 8(x + 9) = 112. What is x?
  24. 24.Solve: 5(x + 4) = 25. What is x?
  25. 25.Solve: 4m − 5 = 35. What is m?
  26. 26.Solve: 8p − 9 = 15. What is p?
  27. 27.Solve: 9y − 3 = 123. What is y?
  28. 28.Solve: y/6 + 7 = 9. What is y?
  29. 29.Solve: 9t + 29 = 56. What is t?
  30. 30.Nisha thinks of a number, multiplies it by 4 and then adds 6. The result is 46. What is the number?
  31. 31.Solve: 5(t + 7) = 80. What is t?
  32. 32.Solve: 8p − 67 = 5. What is p?
  33. 33.Solve: t/8 + 20 = 25. What is t?
  34. 34.Pooja’s mother is four times as old as Pooja. Their ages add up to 60 years. How old is Pooja?
  35. 35.Tara thinks of a number, multiplies it by 4 and then adds 13. The result is 73. What is the number?
  36. 36.Solve: 8x − 2 = 62. What is x?
  37. 37.Solve: 3y + 24 = 51. What is y?
  38. 38.Solve: p/4 + 6 = 8. What is p?
  39. 39.Aditya is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  40. 40.Solve: 3t + 9 = 33. What is t?

Answer key

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

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