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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 165 · 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.Diya thinks of a number, multiplies it by 3 and then adds 16. The result is 61. What is the number?
  2. 2.Solve: x/6 + 1 = 7. What is x?
  3. 3.Vivaan thinks of a number, multiplies it by 5 and then adds 16. The result is 61. What is the number?
  4. 4.Solve: 6y − 10 = 14. What is y?
  5. 5.Rohan is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  6. 6.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 50 years. How old is Saanvi?
  7. 7.Rohan’s mother is four times as old as Rohan. Their ages add up to 25 years. How old is Rohan?
  8. 8.Aditya thinks of a number, multiplies it by 7 and then adds 6. The result is 20. What is the number?
  9. 9.Solve: 4t + 7 = 19. What is t?
  10. 10.Kabir’s mother is four times as old as Kabir. Their ages add up to 20 years. How old is Kabir?
  11. 11.Solve: 4p + 11 = 71. What is p?
  12. 12.Solve: x/4 + 11 = 19. What is x?
  13. 13.Diya is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  14. 14.Sneha’s mother is twice as old as Sneha. Their ages add up to 18 years. How old is Sneha?
  15. 15.Solve: y/6 + 14 = 18. What is y?
  16. 16.Isha thinks of a number, multiplies it by 7 and then adds 7. The result is 77. What is the number?
  17. 17.Solve: m/3 + 18 = 23. What is m?
  18. 18.Solve: 2p − 7 = 1. What is p?
  19. 19.Solve: p/6 + 10 = 16. What is p?
  20. 20.Solve: 2p + 30 = 60. What is p?
  21. 21.Solve: 3y + 19 = 55. What is y?
  22. 22.Solve: 3x − 22 = 23. What is x?
  23. 23.Solve: 8n + 10 = 18. What is n?
  24. 24.Gurpreet thinks of a number, multiplies it by 5 and then adds 8. The result is 23. What is the number?
  25. 25.Aarav thinks of a number, multiplies it by 6 and then adds 11. The result is 83. What is the number?
  26. 26.Ananya’s mother is twice as old as Ananya. Their ages add up to 15 years. How old is Ananya?
  27. 27.Solve: m/7 + 2 = 6. What is m?
  28. 28.Solve: 2x + 28 = 32. What is x?
  29. 29.Solve: y/2 + 9 = 20. What is y?
  30. 30.Solve: 3m + 13 = 58. What is m?
  31. 31.Solve: 2(t + 6) = 14. What is t?
  32. 32.Pooja is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  33. 33.Rohan is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  34. 34.Solve: 9(p + 6) = 135. What is p?
  35. 35.Diya is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  36. 36.Solve: 6x − 15 = 3. What is x?
  37. 37.Solve: 5x + 10 = 75. What is x?
  38. 38.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 15 years. How old is Lakshmi?
  39. 39.Solve: 2p + 16 = 46. What is p?
  40. 40.Solve: m/8 + 11 = 13. What is m?

Answer key

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

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