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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 585 · 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.Solve: 2n + 21 = 45. What is n?
  2. 2.Solve: 4p + 30 = 58. What is p?
  3. 3.Isha thinks of a number, multiplies it by 6 and then adds 2. The result is 26. What is the number?
  4. 4.Solve: 2x − 20 = 4. What is x?
  5. 5.Dev is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  6. 6.Solve: 7x + 19 = 33. What is x?
  7. 7.Aarav thinks of a number, multiplies it by 8 and then adds 25. The result is 97. What is the number?
  8. 8.Lakshmi thinks of a number, multiplies it by 7 and then adds 2. The result is 16. What is the number?
  9. 9.Solve: p/9 + 7 = 19. What is p?
  10. 10.Isha thinks of a number, multiplies it by 3 and then adds 10. The result is 43. What is the number?
  11. 11.Solve: 9(n + 5) = 90. What is n?
  12. 12.Solve: 2t − 21 = 7. What is t?
  13. 13.Priya’s mother is four times as old as Priya. Their ages add up to 55 years. How old is Priya?
  14. 14.Aarav thinks of a number, multiplies it by 2 and then adds 23. The result is 53. What is the number?
  15. 15.Solve: 3m − 3 = 6. What is m?
  16. 16.Solve: t/7 + 12 = 22. What is t?
  17. 17.Solve: p/4 + 1 = 5. What is p?
  18. 18.Solve: x/2 + 12 = 22. What is x?
  19. 19.Solve: m/5 + 6 = 20. What is m?
  20. 20.Ananya thinks of a number, multiplies it by 9 and then adds 24. The result is 60. What is the number?
  21. 21.Arjun is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  22. 22.Solve: 8x − 9 = 55. What is x?
  23. 23.Aarav is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  24. 24.Solve: 4x − 3 = 5. What is x?
  25. 25.Solve: 4m − 9 = 3. What is m?
  26. 26.Solve: 7x + 1 = 85. What is x?
  27. 27.Solve: 4y + 14 = 38. What is y?
  28. 28.Solve: 2y + 20 = 32. What is y?
  29. 29.Solve: p/3 + 6 = 7. What is p?
  30. 30.Solve: 7(x + 7) = 70. What is x?
  31. 31.Priya’s mother is twice as old as Priya. Their ages add up to 27 years. How old is Priya?
  32. 32.Solve: t/9 + 4 = 11. What is t?
  33. 33.Solve: 4p + 9 = 21. What is p?
  34. 34.Solve: 8x − 9 = 79. What is x?
  35. 35.Solve: 8y − 1 = 7. What is y?
  36. 36.Arjun thinks of a number, multiplies it by 5 and then adds 21. The result is 46. What is the number?
  37. 37.Solve: 8m + 23 = 55. What is m?
  38. 38.Solve: 7p + 28 = 119. What is p?
  39. 39.Zoya thinks of a number, multiplies it by 4 and then adds 13. The result is 73. What is the number?
  40. 40.Solve: 6(x + 3) = 30. What is x?

Answer key

  1. 12
  2. 7
  3. 4
  4. 12
  5. 14
  6. 2
  7. 9
  8. 2
  9. 108
  10. 11
  11. 5
  12. 14
  13. 11
  14. 15
  15. 3
  16. 70
  17. 16
  18. 20
  19. 70
  20. 4
  21. 8
  22. 8
  23. 7
  24. 2
  25. 3
  26. 12
  27. 6
  28. 6
  29. 3
  30. 3
  31. 9
  32. 63
  33. 3
  34. 11
  35. 1
  36. 5
  37. 4
  38. 13
  39. 15
  40. 2

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