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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 136 · 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: 3y − 1 = 8. What is y?
  2. 2.Solve: 8p − 82 = 22. What is p?
  3. 3.Kabir’s mother is four times as old as Kabir. Their ages add up to 50 years. How old is Kabir?
  4. 4.Sneha’s mother is twice as old as Sneha. Their ages add up to 24 years. How old is Sneha?
  5. 5.Kabir thinks of a number, multiplies it by 6 and then adds 17. The result is 35. What is the number?
  6. 6.Solve: 3x + 1 = 10. What is x?
  7. 7.Kabir thinks of a number, multiplies it by 9 and then adds 26. The result is 44. What is the number?
  8. 8.Solve: 3(n + 2) = 9. What is n?
  9. 9.Solve: 6(p + 2) = 72. What is p?
  10. 10.Nisha’s mother is twice as old as Nisha. Their ages add up to 27 years. How old is Nisha?
  11. 11.Solve: 9(x + 7) = 126. What is x?
  12. 12.Lakshmi thinks of a number, multiplies it by 6 and then adds 27. The result is 105. What is the number?
  13. 13.Solve: x/7 + 4 = 10. What is x?
  14. 14.Riya is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  15. 15.Solve: t/7 + 14 = 15. What is t?
  16. 16.Nisha thinks of a number, multiplies it by 6 and then adds 23. The result is 41. What is the number?
  17. 17.Solve: 3x + 7 = 43. What is x?
  18. 18.Aditya is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  19. 19.Solve: m/3 + 4 = 18. What is m?
  20. 20.Manav is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  21. 21.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 32 years. How old is Ishaan?
  22. 22.Farhan’s mother is twice as old as Farhan. Their ages add up to 15 years. How old is Farhan?
  23. 23.Solve: t/3 + 7 = 19. What is t?
  24. 24.Solve: 9t − 99 = 9. What is t?
  25. 25.Rohan thinks of a number, multiplies it by 7 and then adds 25. The result is 109. What is the number?
  26. 26.Solve: 3n + 8 = 35. What is n?
  27. 27.Solve: t/3 + 10 = 19. What is t?
  28. 28.Pooja thinks of a number, multiplies it by 4 and then adds 29. The result is 85. What is the number?
  29. 29.Saanvi is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  30. 30.Aditya’s mother is twice as old as Aditya. Their ages add up to 27 years. How old is Aditya?
  31. 31.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 70 years. How old is Vivaan?
  32. 32.Solve: 8p + 21 = 125. What is p?
  33. 33.Solve: 3(t + 7) = 48. What is t?
  34. 34.Solve: 7y + 25 = 39. What is y?
  35. 35.Solve: m/3 + 5 = 7. What is m?
  36. 36.Dev is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  37. 37.Solve: 2p + 10 = 24. What is p?
  38. 38.Kavya is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  39. 39.Solve: m/5 + 14 = 20. What is m?
  40. 40.Solve: m/3 + 8 = 9. What is m?

Answer key

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

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