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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 732 · 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: 2p + 29 = 39. What is p?
  2. 2.Solve: 8p + 30 = 150. What is p?
  3. 3.Solve: x/7 + 11 = 21. What is x?
  4. 4.Manav is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  5. 5.Kavya thinks of a number, multiplies it by 6 and then adds 18. The result is 66. What is the number?
  6. 6.Solve: 8(m + 7) = 176. What is m?
  7. 7.Solve: 5x − 27 = 48. What is x?
  8. 8.Solve: 5x − 10 = 60. What is x?
  9. 9.Solve: 9m + 8 = 71. What is m?
  10. 10.Solve: 9y + 11 = 101. What is y?
  11. 11.Solve: 9t − 35 = 46. What is t?
  12. 12.Solve: 5(m + 1) = 10. What is m?
  13. 13.Solve: 3(n + 1) = 42. What is n?
  14. 14.Solve: 3p + 26 = 35. What is p?
  15. 15.Solve: p/6 + 2 = 4. What is p?
  16. 16.Solve: 5x + 14 = 44. What is x?
  17. 17.Diya thinks of a number, multiplies it by 2 and then adds 9. The result is 25. What is the number?
  18. 18.Solve: 8x + 4 = 28. What is x?
  19. 19.Solve: 9x − 5 = 22. What is x?
  20. 20.Kavya thinks of a number, multiplies it by 5 and then adds 10. The result is 65. What is the number?
  21. 21.Solve: 3n + 23 = 32. What is n?
  22. 22.Solve: 9(y + 3) = 99. What is y?
  23. 23.Solve: 3p + 15 = 57. What is p?
  24. 24.Solve: 5(y + 7) = 90. What is y?
  25. 25.Solve: t/8 + 16 = 21. What is t?
  26. 26.Solve: 7y + 2 = 23. What is y?
  27. 27.Solve: 3(x + 8) = 57. What is x?
  28. 28.Solve: 6(x + 1) = 66. What is x?
  29. 29.Solve: 4(x + 7) = 40. What is x?
  30. 30.Solve: 7t − 21 = 7. What is t?
  31. 31.Solve: 9(y + 9) = 126. What is y?
  32. 32.Solve: 2p − 10 = 6. What is p?
  33. 33.Sneha thinks of a number, multiplies it by 4 and then adds 1. The result is 61. What is the number?
  34. 34.Solve: n/9 + 2 = 9. What is n?
  35. 35.Ishaan is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  36. 36.Solve: 9p − 49 = 59. What is p?
  37. 37.Solve: 7t − 35 = 70. What is t?
  38. 38.Dev’s mother is four times as old as Dev. Their ages add up to 70 years. How old is Dev?
  39. 39.Solve: 4m − 7 = 29. What is m?
  40. 40.Solve: 3y − 4 = 2. What is y?

Answer key

  1. 5
  2. 15
  3. 70
  4. 10
  5. 8
  6. 15
  7. 15
  8. 14
  9. 7
  10. 10
  11. 9
  12. 1
  13. 13
  14. 3
  15. 12
  16. 6
  17. 8
  18. 3
  19. 3
  20. 11
  21. 3
  22. 8
  23. 14
  24. 11
  25. 40
  26. 3
  27. 11
  28. 10
  29. 3
  30. 4
  31. 5
  32. 8
  33. 15
  34. 63
  35. 5
  36. 12
  37. 15
  38. 14
  39. 9
  40. 2

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