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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 535 · 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: 3p + 4 = 34. What is p?
  2. 2.Solve: 3t + 9 = 24. What is t?
  3. 3.Solve: 8n + 19 = 43. What is n?
  4. 4.Solve: 9x + 18 = 144. What is x?
  5. 5.Solve: 4(p + 4) = 28. What is p?
  6. 6.Rahul thinks of a number, multiplies it by 2 and then adds 20. The result is 44. What is the number?
  7. 7.Ishaan is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  8. 8.Solve: 8y + 8 = 16. What is y?
  9. 9.Solve: 2x − 1 = 1. What is x?
  10. 10.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 33 years. How old is Lakshmi?
  11. 11.Solve: 5y − 3 = 2. What is y?
  12. 12.Ishaan thinks of a number, multiplies it by 6 and then adds 23. The result is 77. What is the number?
  13. 13.Solve: 4t + 3 = 15. What is t?
  14. 14.Solve: x/9 + 8 = 22. What is x?
  15. 15.Solve: 4(x + 5) = 56. What is x?
  16. 16.Solve: 8m − 2 = 6. What is m?
  17. 17.Solve: 6m + 8 = 86. What is m?
  18. 18.Solve: p/2 + 5 = 8. What is p?
  19. 19.Tara’s mother is twice as old as Tara. Their ages add up to 12 years. How old is Tara?
  20. 20.Solve: t/2 + 3 = 14. What is t?
  21. 21.Solve: 4y + 12 = 16. What is y?
  22. 22.Solve: 4y + 25 = 53. What is y?
  23. 23.Solve: 6t − 12 = 36. What is t?
  24. 24.Kabir is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  25. 25.Aarav thinks of a number, multiplies it by 4 and then adds 24. The result is 76. What is the number?
  26. 26.Arjun thinks of a number, multiplies it by 5 and then adds 26. The result is 91. What is the number?
  27. 27.Solve: 2x − 15 = 7. What is x?
  28. 28.Solve: 5p + 26 = 56. What is p?
  29. 29.Diya’s mother is three times as old as Diya. Their ages add up to 28 years. How old is Diya?
  30. 30.Solve: t/5 + 9 = 24. What is t?
  31. 31.Dev is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  32. 32.Solve: 7x + 22 = 127. What is x?
  33. 33.Isha’s mother is twice as old as Isha. Their ages add up to 39 years. How old is Isha?
  34. 34.Solve: 7(n + 3) = 63. What is n?
  35. 35.Solve: 9m − 61 = 29. What is m?
  36. 36.Solve: n/5 + 14 = 22. What is n?
  37. 37.Solve: m/2 + 6 = 15. What is m?
  38. 38.Solve: 8m − 17 = 95. What is m?
  39. 39.Solve: 2x − 14 = 8. What is x?
  40. 40.Farhan thinks of a number, multiplies it by 7 and then adds 8. The result is 71. What is the number?

Answer key

  1. 10
  2. 5
  3. 3
  4. 14
  5. 3
  6. 12
  7. 15
  8. 1
  9. 1
  10. 11
  11. 1
  12. 9
  13. 3
  14. 126
  15. 9
  16. 1
  17. 13
  18. 6
  19. 4
  20. 22
  21. 1
  22. 7
  23. 8
  24. 4
  25. 13
  26. 13
  27. 11
  28. 6
  29. 7
  30. 75
  31. 5
  32. 15
  33. 13
  34. 6
  35. 10
  36. 40
  37. 18
  38. 14
  39. 11
  40. 9

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