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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 543 · 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.Riya’s mother is four times as old as Riya. Their ages add up to 35 years. How old is Riya?
  2. 2.Solve: 4y + 11 = 47. What is y?
  3. 3.Solve: y/4 + 17 = 31. What is y?
  4. 4.Aditya thinks of a number, multiplies it by 8 and then adds 9. The result is 41. What is the number?
  5. 5.Ishaan thinks of a number, multiplies it by 3 and then adds 17. The result is 62. What is the number?
  6. 6.Solve: y/9 + 14 = 26. What is y?
  7. 7.Farhan thinks of a number, multiplies it by 6 and then adds 17. The result is 95. What is the number?
  8. 8.Solve: 7x + 2 = 72. What is x?
  9. 9.Solve: 9(t + 7) = 99. What is t?
  10. 10.Solve: 2x + 23 = 51. What is x?
  11. 11.Solve: 7t + 9 = 23. What is t?
  12. 12.Solve: 9t + 5 = 68. What is t?
  13. 13.Solve: 4y − 11 = 33. What is y?
  14. 14.Solve: 7(y + 3) = 35. What is y?
  15. 15.Rohan thinks of a number, multiplies it by 7 and then adds 2. The result is 30. What is the number?
  16. 16.Isha’s mother is twice as old as Isha. Their ages add up to 18 years. How old is Isha?
  17. 17.Aarav is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  18. 18.Solve: 7y − 28 = 28. What is y?
  19. 19.Aarav’s mother is four times as old as Aarav. Their ages add up to 20 years. How old is Aarav?
  20. 20.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 55 years. How old is Saanvi?
  21. 21.Solve: 8x − 11 = 5. What is x?
  22. 22.Solve: 8t + 20 = 84. What is t?
  23. 23.Aarav thinks of a number, multiplies it by 8 and then adds 20. The result is 92. What is the number?
  24. 24.Solve: 6(n + 8) = 54. What is n?
  25. 25.Rahul’s mother is twice as old as Rahul. Their ages add up to 30 years. How old is Rahul?
  26. 26.Solve: 2(p + 3) = 8. What is p?
  27. 27.Solve: 4y + 11 = 55. What is y?
  28. 28.Sneha thinks of a number, multiplies it by 3 and then adds 7. The result is 28. What is the number?
  29. 29.Solve: 9y + 2 = 74. What is y?
  30. 30.Nisha is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  31. 31.Saanvi thinks of a number, multiplies it by 6 and then adds 25. The result is 91. What is the number?
  32. 32.Ananya thinks of a number, multiplies it by 4 and then adds 17. The result is 77. What is the number?
  33. 33.Solve: 3t − 10 = 5. What is t?
  34. 34.Solve: m/3 + 11 = 25. What is m?
  35. 35.Solve: x/9 + 1 = 3. What is x?
  36. 36.Kavya’s mother is twice as old as Kavya. Their ages add up to 21 years. How old is Kavya?
  37. 37.Solve: 2(m + 6) = 22. What is m?
  38. 38.Karan is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  39. 39.Rahul is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  40. 40.Solve: 6y + 20 = 32. What is y?

Answer key

  1. 7
  2. 9
  3. 56
  4. 4
  5. 15
  6. 108
  7. 13
  8. 10
  9. 4
  10. 14
  11. 2
  12. 7
  13. 11
  14. 2
  15. 4
  16. 6
  17. 10
  18. 8
  19. 4
  20. 11
  21. 2
  22. 8
  23. 9
  24. 1
  25. 10
  26. 1
  27. 11
  28. 7
  29. 8
  30. 14
  31. 11
  32. 15
  33. 5
  34. 42
  35. 18
  36. 7
  37. 5
  38. 4
  39. 6
  40. 2

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