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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 942 · 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: y/5 + 16 = 31. What is y?
  2. 2.Solve: 8y + 10 = 90. What is y?
  3. 3.Solve: t/5 + 13 = 27. What is t?
  4. 4.Solve: 8(p + 9) = 152. What is p?
  5. 5.Solve: x/8 + 2 = 7. What is x?
  6. 6.Solve: 2x − 18 = 6. What is x?
  7. 7.Arjun thinks of a number, multiplies it by 9 and then adds 2. The result is 137. What is the number?
  8. 8.Solve: 7p + 18 = 74. What is p?
  9. 9.Solve: 2m − 17 = 5. What is m?
  10. 10.Solve: n/9 + 4 = 7. What is n?
  11. 11.Solve: 5x − 43 = 7. What is x?
  12. 12.Solve: 6y − 19 = 17. What is y?
  13. 13.Sneha thinks of a number, multiplies it by 9 and then adds 12. The result is 57. What is the number?
  14. 14.Solve: 5p − 1 = 4. What is p?
  15. 15.Solve: 3x + 28 = 31. What is x?
  16. 16.Joseph’s mother is four times as old as Joseph. Their ages add up to 75 years. How old is Joseph?
  17. 17.Solve: 6p − 16 = 14. What is p?
  18. 18.Solve: p/8 + 9 = 22. What is p?
  19. 19.Priya thinks of a number, multiplies it by 2 and then adds 6. The result is 10. What is the number?
  20. 20.Dev is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  21. 21.Solve: 6t + 29 = 41. What is t?
  22. 22.Solve: 8y − 48 = 56. What is y?
  23. 23.Solve: y/5 + 6 = 13. What is y?
  24. 24.Solve: 2(t + 7) = 36. What is t?
  25. 25.Solve: 9m + 9 = 54. What is m?
  26. 26.Lakshmi is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  27. 27.Kabir’s mother is three times as old as Kabir. Their ages add up to 16 years. How old is Kabir?
  28. 28.Kavya’s mother is four times as old as Kavya. Their ages add up to 25 years. How old is Kavya?
  29. 29.Solve: x/2 + 8 = 13. What is x?
  30. 30.Solve: n/3 + 2 = 12. What is n?
  31. 31.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 48 years. How old is Vivaan?
  32. 32.Nisha thinks of a number, multiplies it by 7 and then adds 28. The result is 49. What is the number?
  33. 33.Solve: 9p + 13 = 49. What is p?
  34. 34.Rahul thinks of a number, multiplies it by 9 and then adds 10. The result is 82. What is the number?
  35. 35.Solve: p/3 + 5 = 6. What is p?
  36. 36.Manav thinks of a number, multiplies it by 2 and then adds 21. The result is 45. What is the number?
  37. 37.Solve: x/8 + 12 = 26. What is x?
  38. 38.Solve: 5(p + 9) = 85. What is p?
  39. 39.Solve: 3x − 10 = 35. What is x?
  40. 40.Solve: 3t + 4 = 7. What is t?

Answer key

  1. 75
  2. 10
  3. 70
  4. 10
  5. 40
  6. 12
  7. 15
  8. 8
  9. 11
  10. 27
  11. 10
  12. 6
  13. 5
  14. 1
  15. 1
  16. 15
  17. 5
  18. 104
  19. 2
  20. 11
  21. 2
  22. 13
  23. 35
  24. 11
  25. 5
  26. 11
  27. 4
  28. 5
  29. 10
  30. 30
  31. 12
  32. 3
  33. 4
  34. 8
  35. 3
  36. 12
  37. 112
  38. 8
  39. 15
  40. 1

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