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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 793 · 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: y/2 + 16 = 18. What is y?
  2. 2.Solve: 8m + 1 = 33. What is m?
  3. 3.Solve: x/4 + 12 = 23. What is x?
  4. 4.Solve: 2n + 26 = 52. What is n?
  5. 5.Solve: 7t − 18 = 31. What is t?
  6. 6.Solve: 6(p + 2) = 84. What is p?
  7. 7.Solve: 9t + 7 = 25. What is t?
  8. 8.Solve: 6m − 54 = 36. What is m?
  9. 9.Solve: 6(m + 5) = 54. What is m?
  10. 10.Farhan’s mother is three times as old as Farhan. Their ages add up to 16 years. How old is Farhan?
  11. 11.Vivaan is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  12. 12.Nisha’s mother is three times as old as Nisha. Their ages add up to 44 years. How old is Nisha?
  13. 13.Aditya thinks of a number, multiplies it by 5 and then adds 7. The result is 27. What is the number?
  14. 14.Solve: 3p + 30 = 51. What is p?
  15. 15.Solve: 5n − 16 = 4. What is n?
  16. 16.Solve: 6p + 13 = 85. What is p?
  17. 17.Solve: 2y + 21 = 45. What is y?
  18. 18.Meera thinks of a number, multiplies it by 9 and then adds 15. The result is 114. What is the number?
  19. 19.Solve: 7y + 11 = 60. What is y?
  20. 20.Solve: 4t − 6 = 10. What is t?
  21. 21.Solve: 8(m + 8) = 152. What is m?
  22. 22.Solve: 6p − 35 = 13. What is p?
  23. 23.Solve: 6m − 52 = 2. What is m?
  24. 24.Solve: 8(p + 7) = 96. What is p?
  25. 25.Solve: 6t − 25 = 65. What is t?
  26. 26.Nisha’s mother is twice as old as Nisha. Their ages add up to 24 years. How old is Nisha?
  27. 27.Solve: 8p − 34 = 78. What is p?
  28. 28.Solve: 8(m + 6) = 88. What is m?
  29. 29.Karan’s mother is three times as old as Karan. Their ages add up to 32 years. How old is Karan?
  30. 30.Solve: 2m − 15 = 15. What is m?
  31. 31.Solve: t/3 + 15 = 19. What is t?
  32. 32.Solve: y/5 + 2 = 10. What is y?
  33. 33.Solve: 4(y + 8) = 44. What is y?
  34. 34.Arjun’s mother is three times as old as Arjun. Their ages add up to 24 years. How old is Arjun?
  35. 35.Solve: m/4 + 9 = 14. What is m?
  36. 36.Solve: 9(y + 6) = 63. What is y?
  37. 37.Solve: 2y + 13 = 15. What is y?
  38. 38.Solve: 4x − 7 = 21. What is x?
  39. 39.Solve: 6(y + 3) = 108. What is y?
  40. 40.Solve: 3t + 2 = 32. What is t?

Answer key

  1. 4
  2. 4
  3. 44
  4. 13
  5. 7
  6. 12
  7. 2
  8. 15
  9. 4
  10. 4
  11. 15
  12. 11
  13. 4
  14. 7
  15. 4
  16. 12
  17. 12
  18. 11
  19. 7
  20. 4
  21. 11
  22. 8
  23. 9
  24. 5
  25. 15
  26. 8
  27. 14
  28. 5
  29. 8
  30. 15
  31. 12
  32. 40
  33. 3
  34. 6
  35. 20
  36. 1
  37. 1
  38. 7
  39. 15
  40. 10

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