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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 818 · 40 sums
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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.Kavya thinks of a number, multiplies it by 5 and then adds 14. The result is 44. What is the number?
  2. 2.Tara’s mother is four times as old as Tara. Their ages add up to 50 years. How old is Tara?
  3. 3.Solve: 8(y + 8) = 136. What is y?
  4. 4.Solve: 7p + 25 = 39. What is p?
  5. 5.Solve: 4p + 30 = 54. What is p?
  6. 6.Solve: 2t + 28 = 56. What is t?
  7. 7.Solve: 3y + 1 = 28. What is y?
  8. 8.Aditya thinks of a number, multiplies it by 8 and then adds 6. The result is 14. What is the number?
  9. 9.Solve: 3m + 8 = 35. What is m?
  10. 10.Solve: 7(p + 7) = 147. What is p?
  11. 11.Riya is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  12. 12.Isha thinks of a number, multiplies it by 5 and then adds 4. The result is 49. What is the number?
  13. 13.Solve: 9(m + 5) = 153. What is m?
  14. 14.Sneha’s mother is three times as old as Sneha. Their ages add up to 60 years. How old is Sneha?
  15. 15.Ishaan is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  16. 16.Priya thinks of a number, multiplies it by 9 and then adds 7. The result is 61. What is the number?
  17. 17.Solve: 3p − 20 = 25. What is p?
  18. 18.Solve: 6(p + 4) = 48. What is p?
  19. 19.Dev thinks of a number, multiplies it by 9 and then adds 16. The result is 34. What is the number?
  20. 20.Riya’s mother is four times as old as Riya. Their ages add up to 35 years. How old is Riya?
  21. 21.Solve: p/8 + 14 = 27. What is p?
  22. 22.Solve: 7x − 4 = 24. What is x?
  23. 23.Priya is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  24. 24.Solve: 3t + 8 = 32. What is t?
  25. 25.Meera thinks of a number, multiplies it by 4 and then adds 27. The result is 87. What is the number?
  26. 26.Kavya thinks of a number, multiplies it by 6 and then adds 4. The result is 58. What is the number?
  27. 27.Solve: 3y + 13 = 49. What is y?
  28. 28.Solve: 9p − 18 = 45. What is p?
  29. 29.Solve: x/4 + 4 = 8. What is x?
  30. 30.Ishaan thinks of a number, multiplies it by 6 and then adds 12. The result is 24. What is the number?
  31. 31.Solve: 3y + 20 = 56. What is y?
  32. 32.Solve: 7p + 25 = 81. What is p?
  33. 33.Solve: 4(p + 2) = 60. What is p?
  34. 34.Aarav thinks of a number, multiplies it by 7 and then adds 17. The result is 59. What is the number?
  35. 35.Solve: 2t − 20 = 6. What is t?
  36. 36.Solve: 4t − 13 = 39. What is t?
  37. 37.Solve: 9p − 19 = 8. What is p?
  38. 38.Solve: 4y − 9 = 43. What is y?
  39. 39.Solve: 6x + 14 = 44. What is x?
  40. 40.Tara thinks of a number, multiplies it by 2 and then adds 22. The result is 36. What is the number?

Answer key

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

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