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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 882 · 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: 6n + 3 = 27. What is n?
  2. 2.Solve: y/8 + 3 = 12. What is y?
  3. 3.Solve: 6t − 51 = 15. What is t?
  4. 4.Solve: t/9 + 19 = 32. What is t?
  5. 5.Lakshmi is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  6. 6.Solve: 2(m + 9) = 40. What is m?
  7. 7.Solve: 4(n + 5) = 44. What is n?
  8. 8.Rahul thinks of a number, multiplies it by 7 and then adds 6. The result is 104. What is the number?
  9. 9.Farhan thinks of a number, multiplies it by 5 and then adds 4. The result is 19. What is the number?
  10. 10.Solve: 2x + 11 = 33. What is x?
  11. 11.Kavya is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  12. 12.Solve: 7p + 2 = 30. What is p?
  13. 13.Solve: x/4 + 12 = 20. What is x?
  14. 14.Solve: 9y + 4 = 139. What is y?
  15. 15.Solve: 5(x + 2) = 20. What is x?
  16. 16.Solve: 8t + 24 = 40. What is t?
  17. 17.Meera thinks of a number, multiplies it by 7 and then adds 2. The result is 44. What is the number?
  18. 18.Solve: 6p + 15 = 33. What is p?
  19. 19.Solve: p/9 + 3 = 15. What is p?
  20. 20.Solve: x/3 + 10 = 22. What is x?
  21. 21.Solve: 2(m + 4) = 22. What is m?
  22. 22.Solve: 3n + 27 = 42. What is n?
  23. 23.Solve: 3t + 14 = 41. What is t?
  24. 24.Solve: 4(n + 3) = 24. What is n?
  25. 25.Solve: t/2 + 12 = 17. What is t?
  26. 26.Solve: 2(y + 1) = 16. What is y?
  27. 27.Riya thinks of a number, multiplies it by 6 and then adds 16. The result is 82. What is the number?
  28. 28.Solve: 3n + 2 = 35. What is n?
  29. 29.Solve: 9x + 12 = 57. What is x?
  30. 30.Solve: 2p + 9 = 27. What is p?
  31. 31.Solve: 7n + 8 = 43. What is n?
  32. 32.Ananya thinks of a number, multiplies it by 4 and then adds 20. The result is 52. What is the number?
  33. 33.Solve: 2(y + 1) = 12. What is y?
  34. 34.Solve: 8x + 3 = 99. What is x?
  35. 35.Vivaan is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  36. 36.Solve: 2t − 8 = 2. What is t?
  37. 37.Solve: 6n + 16 = 88. What is n?
  38. 38.Priya’s mother is four times as old as Priya. Their ages add up to 40 years. How old is Priya?
  39. 39.Solve: 5y − 39 = 21. What is y?
  40. 40.Kavya’s mother is twice as old as Kavya. Their ages add up to 15 years. How old is Kavya?

Answer key

  1. 4
  2. 72
  3. 11
  4. 117
  5. 10
  6. 11
  7. 6
  8. 14
  9. 3
  10. 11
  11. 14
  12. 4
  13. 32
  14. 15
  15. 2
  16. 2
  17. 6
  18. 3
  19. 108
  20. 36
  21. 7
  22. 5
  23. 9
  24. 3
  25. 10
  26. 7
  27. 11
  28. 11
  29. 5
  30. 9
  31. 5
  32. 8
  33. 5
  34. 12
  35. 6
  36. 5
  37. 12
  38. 8
  39. 12
  40. 5

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