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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 90 · 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: 7n − 32 = 24. What is n?
  2. 2.Solve: 4(y + 2) = 64. What is y?
  3. 3.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 40 years. How old is Saanvi?
  4. 4.Solve: 6p + 2 = 80. What is p?
  5. 5.Solve: 5(t + 6) = 70. What is t?
  6. 6.Ananya thinks of a number, multiplies it by 9 and then adds 18. The result is 63. What is the number?
  7. 7.Sneha’s mother is four times as old as Sneha. Their ages add up to 55 years. How old is Sneha?
  8. 8.Solve: 4(x + 9) = 44. What is x?
  9. 9.Solve: 7t + 28 = 91. What is t?
  10. 10.Dev thinks of a number, multiplies it by 4 and then adds 13. The result is 25. What is the number?
  11. 11.Solve: 3(y + 6) = 39. What is y?
  12. 12.Solve: 6y + 12 = 54. What is y?
  13. 13.Aarav is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  14. 14.Solve: n/7 + 3 = 8. What is n?
  15. 15.Solve: 2(t + 3) = 34. What is t?
  16. 16.Karan is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  17. 17.Arjun’s mother is four times as old as Arjun. Their ages add up to 40 years. How old is Arjun?
  18. 18.Arjun’s mother is four times as old as Arjun. Their ages add up to 25 years. How old is Arjun?
  19. 19.Solve: 2x − 3 = 7. What is x?
  20. 20.Solve: 5(t + 5) = 60. What is t?
  21. 21.Solve: 2(y + 8) = 34. What is y?
  22. 22.Tara thinks of a number, multiplies it by 5 and then adds 9. The result is 54. What is the number?
  23. 23.Rohan thinks of a number, multiplies it by 7 and then adds 3. The result is 24. What is the number?
  24. 24.Solve: 5x − 47 = 23. What is x?
  25. 25.Ananya thinks of a number, multiplies it by 3 and then adds 12. The result is 24. What is the number?
  26. 26.Lakshmi’s mother is three times as old as Lakshmi. Their ages add up to 32 years. How old is Lakshmi?
  27. 27.Farhan thinks of a number, multiplies it by 6 and then adds 19. The result is 55. What is the number?
  28. 28.Solve: 8p − 60 = 4. What is p?
  29. 29.Solve: 3p + 24 = 45. What is p?
  30. 30.Solve: p/3 + 2 = 9. What is p?
  31. 31.Pooja is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  32. 32.Solve: 8p − 57 = 23. What is p?
  33. 33.Manav’s mother is three times as old as Manav. Their ages add up to 48 years. How old is Manav?
  34. 34.Lakshmi thinks of a number, multiplies it by 2 and then adds 26. The result is 56. What is the number?
  35. 35.Solve: 9t + 28 = 163. What is t?
  36. 36.Aarav’s mother is twice as old as Aarav. Their ages add up to 45 years. How old is Aarav?
  37. 37.Solve: y/8 + 20 = 29. What is y?
  38. 38.Solve: 5x + 28 = 68. What is x?
  39. 39.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 60 years. How old is Vivaan?
  40. 40.Kavya thinks of a number, multiplies it by 2 and then adds 25. The result is 47. What is the number?

Answer key

  1. 8
  2. 14
  3. 10
  4. 13
  5. 8
  6. 5
  7. 11
  8. 2
  9. 9
  10. 3
  11. 7
  12. 7
  13. 8
  14. 35
  15. 14
  16. 6
  17. 8
  18. 5
  19. 5
  20. 7
  21. 9
  22. 9
  23. 3
  24. 14
  25. 4
  26. 8
  27. 6
  28. 8
  29. 7
  30. 21
  31. 9
  32. 10
  33. 12
  34. 15
  35. 15
  36. 15
  37. 72
  38. 8
  39. 12
  40. 11

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