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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 953 · 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: 9(x + 4) = 126. What is x?
  2. 2.Solve: 2p − 3 = 1. What is p?
  3. 3.Solve: y/2 + 2 = 6. What is y?
  4. 4.Solve: 2n − 2 = 16. What is n?
  5. 5.Rohan thinks of a number, multiplies it by 8 and then adds 9. The result is 57. What is the number?
  6. 6.Solve: 6m + 24 = 48. What is m?
  7. 7.Manav thinks of a number, multiplies it by 3 and then adds 4. The result is 10. What is the number?
  8. 8.Solve: 4(p + 1) = 8. What is p?
  9. 9.Karan thinks of a number, multiplies it by 4 and then adds 5. The result is 13. What is the number?
  10. 10.Ananya thinks of a number, multiplies it by 2 and then adds 7. The result is 11. What is the number?
  11. 11.Solve: 5(t + 5) = 35. What is t?
  12. 12.Solve: 8x + 23 = 111. What is x?
  13. 13.Solve: 8t + 23 = 55. What is t?
  14. 14.Isha is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  15. 15.Kavya’s mother is twice as old as Kavya. Their ages add up to 18 years. How old is Kavya?
  16. 16.Solve: 3t + 18 = 39. What is t?
  17. 17.Solve: 5t + 29 = 89. What is t?
  18. 18.Solve: 2(x + 4) = 18. What is x?
  19. 19.Diya thinks of a number, multiplies it by 5 and then adds 9. The result is 34. What is the number?
  20. 20.Tara’s mother is three times as old as Tara. Their ages add up to 60 years. How old is Tara?
  21. 21.Solve: 8n + 10 = 18. What is n?
  22. 22.Solve: 7y + 21 = 119. What is y?
  23. 23.Gurpreet thinks of a number, multiplies it by 7 and then adds 27. The result is 55. What is the number?
  24. 24.Karan is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  25. 25.Solve: 9n + 28 = 46. What is n?
  26. 26.Solve: t/2 + 11 = 23. What is t?
  27. 27.Solve: 7(t + 8) = 105. What is t?
  28. 28.Solve: m/8 + 14 = 15. What is m?
  29. 29.Solve: 7x + 13 = 55. What is x?
  30. 30.Rohan’s mother is twice as old as Rohan. Their ages add up to 24 years. How old is Rohan?
  31. 31.Solve: 9m − 7 = 38. What is m?
  32. 32.Rohan thinks of a number, multiplies it by 4 and then adds 24. The result is 40. What is the number?
  33. 33.Solve: 5y − 9 = 31. What is y?
  34. 34.Vivaan is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  35. 35.Solve: y/2 + 17 = 23. What is y?
  36. 36.Solve: x/9 + 8 = 11. What is x?
  37. 37.Solve: 7n − 29 = 27. What is n?
  38. 38.Solve: 4y + 15 = 59. What is y?
  39. 39.Diya’s mother is three times as old as Diya. Their ages add up to 28 years. How old is Diya?
  40. 40.Solve: 7y + 4 = 81. What is y?

Answer key

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

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