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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 273 · 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.Sneha is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  2. 2.Solve: 5(p + 1) = 70. What is p?
  3. 3.Solve: 3p − 27 = 3. What is p?
  4. 4.Farhan thinks of a number, multiplies it by 2 and then adds 5. The result is 35. What is the number?
  5. 5.Solve: 2y − 3 = 5. What is y?
  6. 6.Solve: 6n − 11 = 37. What is n?
  7. 7.Solve: 2x − 7 = 9. What is x?
  8. 8.Solve: 5m + 25 = 55. What is m?
  9. 9.Solve: 2y − 11 = 17. What is y?
  10. 10.Zoya is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  11. 11.Solve: 2x − 8 = 18. What is x?
  12. 12.Solve: 4y + 24 = 36. What is y?
  13. 13.Kavya thinks of a number, multiplies it by 9 and then adds 25. The result is 88. What is the number?
  14. 14.Solve: 6n − 50 = 28. What is n?
  15. 15.Manav thinks of a number, multiplies it by 7 and then adds 23. The result is 30. What is the number?
  16. 16.Pooja thinks of a number, multiplies it by 8 and then adds 7. The result is 63. What is the number?
  17. 17.Solve: 8y − 59 = 21. What is y?
  18. 18.Solve: 6(p + 3) = 24. What is p?
  19. 19.Solve: 8n − 15 = 9. What is n?
  20. 20.Saanvi thinks of a number, multiplies it by 3 and then adds 4. The result is 25. What is the number?
  21. 21.Aarav’s mother is three times as old as Aarav. Their ages add up to 40 years. How old is Aarav?
  22. 22.Solve: 3p + 25 = 28. What is p?
  23. 23.Solve: x/4 + 17 = 24. What is x?
  24. 24.Solve: t/3 + 18 = 33. What is t?
  25. 25.Solve: 3p − 23 = 16. What is p?
  26. 26.Lakshmi thinks of a number, multiplies it by 6 and then adds 5. The result is 95. What is the number?
  27. 27.Solve: 7y + 28 = 56. What is y?
  28. 28.Solve: 6(m + 8) = 66. What is m?
  29. 29.Arjun thinks of a number, multiplies it by 9 and then adds 18. The result is 63. What is the number?
  30. 30.Solve: 2(n + 3) = 16. What is n?
  31. 31.Solve: 3p − 6 = 3. What is p?
  32. 32.Solve: m/2 + 12 = 25. What is m?
  33. 33.Solve: 3p − 3 = 24. What is p?
  34. 34.Solve: 6p + 2 = 86. What is p?
  35. 35.Solve: n/2 + 5 = 20. What is n?
  36. 36.Solve: 6t + 28 = 70. What is t?
  37. 37.Kabir is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  38. 38.Isha thinks of a number, multiplies it by 8 and then adds 11. The result is 51. What is the number?
  39. 39.Aarav thinks of a number, multiplies it by 9 and then adds 2. The result is 74. What is the number?
  40. 40.Diya is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?

Answer key

  1. 7
  2. 13
  3. 10
  4. 15
  5. 4
  6. 8
  7. 8
  8. 6
  9. 14
  10. 14
  11. 13
  12. 3
  13. 7
  14. 13
  15. 1
  16. 7
  17. 10
  18. 1
  19. 3
  20. 7
  21. 10
  22. 1
  23. 28
  24. 45
  25. 13
  26. 15
  27. 4
  28. 3
  29. 5
  30. 5
  31. 3
  32. 26
  33. 9
  34. 14
  35. 30
  36. 7
  37. 4
  38. 5
  39. 8
  40. 6

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