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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 671 · 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: 4m − 2 = 10. What is m?
  2. 2.Solve: 7n − 10 = 39. What is n?
  3. 3.Solve: t/4 + 4 = 18. What is t?
  4. 4.Solve: 6p − 34 = 32. What is p?
  5. 5.Solve: 2x + 19 = 35. What is x?
  6. 6.Solve: 2n + 4 = 34. What is n?
  7. 7.Solve: 6p + 22 = 52. What is p?
  8. 8.Solve: 4p + 14 = 50. What is p?
  9. 9.Solve: 2(y + 3) = 22. What is y?
  10. 10.Meera thinks of a number, multiplies it by 4 and then adds 8. The result is 68. What is the number?
  11. 11.Kabir thinks of a number, multiplies it by 8 and then adds 30. The result is 134. What is the number?
  12. 12.Manav thinks of a number, multiplies it by 2 and then adds 8. The result is 34. What is the number?
  13. 13.Solve: 4(x + 3) = 20. What is x?
  14. 14.Solve: 9x − 30 = 15. What is x?
  15. 15.Solve: 2t − 4 = 8. What is t?
  16. 16.Solve: y/4 + 5 = 16. What is y?
  17. 17.Karan’s mother is three times as old as Karan. Their ages add up to 44 years. How old is Karan?
  18. 18.Solve: 6n − 31 = 35. What is n?
  19. 19.Solve: 8x − 7 = 1. What is x?
  20. 20.Solve: 9x − 19 = 17. What is x?
  21. 21.Karan is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  22. 22.Nisha thinks of a number, multiplies it by 4 and then adds 6. The result is 18. What is the number?
  23. 23.Riya thinks of a number, multiplies it by 2 and then adds 15. The result is 19. What is the number?
  24. 24.Solve: 6p − 47 = 37. What is p?
  25. 25.Diya is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  26. 26.Solve: 3y + 6 = 33. What is y?
  27. 27.Aarav’s mother is three times as old as Aarav. Their ages add up to 32 years. How old is Aarav?
  28. 28.Solve: 2n − 13 = 1. What is n?
  29. 29.Aditya’s mother is twice as old as Aditya. Their ages add up to 30 years. How old is Aditya?
  30. 30.Solve: 7m + 29 = 78. What is m?
  31. 31.Solve: 6n − 25 = 35. What is n?
  32. 32.Solve: 4y + 20 = 44. What is y?
  33. 33.Solve: n/2 + 9 = 13. What is n?
  34. 34.Solve: 2p − 1 = 5. What is p?
  35. 35.Solve: 8(y + 2) = 88. What is y?
  36. 36.Solve: 2t − 2 = 14. What is t?
  37. 37.Solve: p/3 + 17 = 24. What is p?
  38. 38.Solve: 3y + 6 = 30. What is y?
  39. 39.Manav’s mother is twice as old as Manav. Their ages add up to 15 years. How old is Manav?
  40. 40.Solve: p/5 + 6 = 8. What is p?

Answer key

  1. 3
  2. 7
  3. 56
  4. 11
  5. 8
  6. 15
  7. 5
  8. 9
  9. 8
  10. 15
  11. 13
  12. 13
  13. 2
  14. 5
  15. 6
  16. 44
  17. 11
  18. 11
  19. 1
  20. 4
  21. 4
  22. 3
  23. 2
  24. 14
  25. 6
  26. 9
  27. 8
  28. 7
  29. 10
  30. 7
  31. 10
  32. 6
  33. 8
  34. 3
  35. 9
  36. 8
  37. 21
  38. 8
  39. 5
  40. 10

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