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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 788 · 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: 3y − 10 = 11. What is y?
  2. 2.Kabir’s mother is three times as old as Kabir. Their ages add up to 60 years. How old is Kabir?
  3. 3.Priya’s mother is twice as old as Priya. Their ages add up to 45 years. How old is Priya?
  4. 4.Solve: 3(t + 8) = 69. What is t?
  5. 5.Solve: 4(p + 1) = 20. What is p?
  6. 6.Solve: 6n − 66 = 6. What is n?
  7. 7.Solve: 2t − 1 = 3. What is t?
  8. 8.Farhan thinks of a number, multiplies it by 4 and then adds 10. The result is 38. What is the number?
  9. 9.Solve: n/3 + 7 = 13. What is n?
  10. 10.Karan’s mother is three times as old as Karan. Their ages add up to 44 years. How old is Karan?
  11. 11.Solve: 6y + 28 = 40. What is y?
  12. 12.Solve: 9p + 11 = 56. What is p?
  13. 13.Solve: 4p − 1 = 3. What is p?
  14. 14.Solve: 7x + 26 = 96. What is x?
  15. 15.Solve: 3y + 5 = 20. What is y?
  16. 16.Solve: 3y − 5 = 4. What is y?
  17. 17.Solve: n/2 + 1 = 8. What is n?
  18. 18.Solve: 3p + 11 = 38. What is p?
  19. 19.Solve: 8t − 17 = 15. What is t?
  20. 20.Solve: 6t − 3 = 3. What is t?
  21. 21.Farhan thinks of a number, multiplies it by 8 and then adds 26. The result is 138. What is the number?
  22. 22.Solve: n/3 + 2 = 7. What is n?
  23. 23.Dev thinks of a number, multiplies it by 8 and then adds 5. The result is 45. What is the number?
  24. 24.Solve: 7(x + 1) = 42. What is x?
  25. 25.Solve: 9p + 6 = 69. What is p?
  26. 26.Solve: 6x − 63 = 21. What is x?
  27. 27.Solve: 5(m + 6) = 105. What is m?
  28. 28.Nisha thinks of a number, multiplies it by 9 and then adds 11. The result is 83. What is the number?
  29. 29.Solve: 5x − 29 = 31. What is x?
  30. 30.Solve: 2t − 12 = 4. What is t?
  31. 31.Solve: 8x + 26 = 74. What is x?
  32. 32.Solve: 4(t + 3) = 24. What is t?
  33. 33.Solve: p/8 + 19 = 23. What is p?
  34. 34.Solve: 4y − 24 = 8. What is y?
  35. 35.Solve: 9p − 20 = 97. What is p?
  36. 36.Solve: 3p − 22 = 11. What is p?
  37. 37.Solve: 7y − 76 = 15. What is y?
  38. 38.Solve: 7n + 11 = 74. What is n?
  39. 39.Riya is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  40. 40.Pooja’s mother is twice as old as Pooja. Their ages add up to 39 years. How old is Pooja?

Answer key

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

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