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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 718 · 40 sums
TalentJR

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: 7x + 21 = 77. What is x?
  2. 2.Solve: 3(p + 5) = 45. What is p?
  3. 3.Ishaan thinks of a number, multiplies it by 8 and then adds 6. The result is 38. What is the number?
  4. 4.Solve: n/4 + 2 = 15. What is n?
  5. 5.Solve: m/7 + 19 = 26. What is m?
  6. 6.Solve: 7(p + 3) = 105. What is p?
  7. 7.Solve: 9x − 8 = 28. What is x?
  8. 8.Aarav thinks of a number, multiplies it by 5 and then adds 7. The result is 57. What is the number?
  9. 9.Solve: 2y + 3 = 5. What is y?
  10. 10.Sneha thinks of a number, multiplies it by 4 and then adds 8. The result is 24. What is the number?
  11. 11.Solve: t/2 + 1 = 3. What is t?
  12. 12.Isha thinks of a number, multiplies it by 6 and then adds 28. The result is 46. What is the number?
  13. 13.Solve: 4(x + 8) = 52. What is x?
  14. 14.Riya is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  15. 15.Solve: 2(t + 1) = 4. What is t?
  16. 16.Solve: 5n − 18 = 52. What is n?
  17. 17.Aditya thinks of a number, multiplies it by 2 and then adds 12. The result is 28. What is the number?
  18. 18.Solve: 2y − 3 = 19. What is y?
  19. 19.Solve: 2p + 28 = 44. What is p?
  20. 20.Solve: 6y + 26 = 56. What is y?
  21. 21.Rohan thinks of a number, multiplies it by 4 and then adds 3. The result is 23. What is the number?
  22. 22.Solve: t/2 + 18 = 23. What is t?
  23. 23.Solve: x/2 + 9 = 17. What is x?
  24. 24.Solve: 2(m + 8) = 34. What is m?
  25. 25.Solve: 3(m + 3) = 24. What is m?
  26. 26.Solve: 2y + 6 = 22. What is y?
  27. 27.Solve: 9p − 45 = 27. What is p?
  28. 28.Solve: 3(p + 1) = 27. What is p?
  29. 29.Solve: 2(n + 1) = 22. What is n?
  30. 30.Solve: 3x − 1 = 8. What is x?
  31. 31.Solve: n/5 + 1 = 6. What is n?
  32. 32.Solve: 2(t + 9) = 20. What is t?
  33. 33.Ananya thinks of a number, multiplies it by 7 and then adds 18. The result is 46. What is the number?
  34. 34.Nisha is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  35. 35.Solve: 2m + 8 = 12. What is m?
  36. 36.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 44 years. How old is Saanvi?
  37. 37.Priya is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  38. 38.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 16 years. How old is Vivaan?
  39. 39.Ananya is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  40. 40.Aditya’s mother is twice as old as Aditya. Their ages add up to 36 years. How old is Aditya?

Answer key

  1. 8
  2. 10
  3. 4
  4. 52
  5. 49
  6. 12
  7. 4
  8. 10
  9. 1
  10. 4
  11. 4
  12. 3
  13. 5
  14. 15
  15. 1
  16. 14
  17. 8
  18. 11
  19. 8
  20. 5
  21. 5
  22. 10
  23. 16
  24. 9
  25. 5
  26. 8
  27. 8
  28. 8
  29. 10
  30. 3
  31. 25
  32. 1
  33. 4
  34. 14
  35. 2
  36. 11
  37. 5
  38. 4
  39. 14
  40. 12

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