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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 945 · 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: 3(y + 3) = 24. What is y?
  2. 2.Diya thinks of a number, multiplies it by 4 and then adds 6. The result is 26. What is the number?
  3. 3.Solve: 8x + 8 = 48. What is x?
  4. 4.Solve: 8y − 1 = 31. What is y?
  5. 5.Solve: 9p + 3 = 39. What is p?
  6. 6.Kavya’s mother is three times as old as Kavya. Their ages add up to 48 years. How old is Kavya?
  7. 7.Solve: 8x − 50 = 54. What is x?
  8. 8.Solve: 2y + 4 = 6. What is y?
  9. 9.Saanvi is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  10. 10.Solve: 9y + 1 = 109. What is y?
  11. 11.Ishaan thinks of a number, multiplies it by 3 and then adds 3. The result is 9. What is the number?
  12. 12.Solve: 5p + 15 = 90. What is p?
  13. 13.Solve: 3n + 10 = 13. What is n?
  14. 14.Solve: 6(y + 2) = 30. What is y?
  15. 15.Solve: 5n − 6 = 9. What is n?
  16. 16.Solve: 2x − 5 = 11. What is x?
  17. 17.Solve: 2x + 25 = 31. What is x?
  18. 18.Solve: 8(t + 6) = 120. What is t?
  19. 19.Diya thinks of a number, multiplies it by 2 and then adds 1. The result is 21. What is the number?
  20. 20.Solve: 2(y + 4) = 32. What is y?
  21. 21.Solve: 2x − 2 = 8. What is x?
  22. 22.Sneha thinks of a number, multiplies it by 8 and then adds 8. The result is 16. What is the number?
  23. 23.Ananya is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  24. 24.Riya thinks of a number, multiplies it by 6 and then adds 3. The result is 45. What is the number?
  25. 25.Kabir’s mother is twice as old as Kabir. Their ages add up to 27 years. How old is Kabir?
  26. 26.Solve: x/7 + 16 = 26. What is x?
  27. 27.Solve: 5y − 18 = 47. What is y?
  28. 28.Solve: x/6 + 16 = 28. What is x?
  29. 29.Sneha is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  30. 30.Solve: 8x − 69 = 3. What is x?
  31. 31.Solve: 4m + 24 = 28. What is m?
  32. 32.Solve: 5y − 9 = 6. What is y?
  33. 33.Solve: 6t + 10 = 52. What is t?
  34. 34.Solve: 9(x + 8) = 90. What is x?
  35. 35.Solve: 3n − 28 = 5. What is n?
  36. 36.Solve: m/6 + 19 = 21. What is m?
  37. 37.Solve: 2x + 8 = 30. What is x?
  38. 38.Rohan thinks of a number, multiplies it by 4 and then adds 14. The result is 26. What is the number?
  39. 39.Solve: 4x + 13 = 17. What is x?
  40. 40.Solve: 6p + 6 = 12. What is p?

Answer key

  1. 5
  2. 5
  3. 5
  4. 4
  5. 4
  6. 12
  7. 13
  8. 1
  9. 5
  10. 12
  11. 2
  12. 15
  13. 1
  14. 3
  15. 3
  16. 8
  17. 3
  18. 9
  19. 10
  20. 12
  21. 5
  22. 1
  23. 11
  24. 7
  25. 9
  26. 70
  27. 13
  28. 72
  29. 10
  30. 9
  31. 1
  32. 3
  33. 7
  34. 2
  35. 11
  36. 12
  37. 11
  38. 3
  39. 1
  40. 1

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