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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 71 · 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: 2m − 20 = 2. What is m?
  2. 2.Arjun’s mother is three times as old as Arjun. Their ages add up to 48 years. How old is Arjun?
  3. 3.Diya’s mother is twice as old as Diya. Their ages add up to 33 years. How old is Diya?
  4. 4.Tara is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  5. 5.Solve: t/6 + 5 = 12. What is t?
  6. 6.Solve: 3m + 2 = 14. What is m?
  7. 7.Karan thinks of a number, multiplies it by 3 and then adds 29. The result is 50. What is the number?
  8. 8.Solve: 7(m + 8) = 154. What is m?
  9. 9.Solve: 3x − 6 = 3. What is x?
  10. 10.Solve: 6t + 1 = 25. What is t?
  11. 11.Diya thinks of a number, multiplies it by 3 and then adds 15. The result is 60. What is the number?
  12. 12.Rohan thinks of a number, multiplies it by 5 and then adds 19. The result is 59. What is the number?
  13. 13.Kabir’s mother is three times as old as Kabir. Their ages add up to 44 years. How old is Kabir?
  14. 14.Solve: m/4 + 17 = 23. What is m?
  15. 15.Solve: p/2 + 4 = 5. What is p?
  16. 16.Solve: 2t + 25 = 39. What is t?
  17. 17.Rahul’s mother is four times as old as Rahul. Their ages add up to 30 years. How old is Rahul?
  18. 18.Priya thinks of a number, multiplies it by 8 and then adds 4. The result is 52. What is the number?
  19. 19.Isha thinks of a number, multiplies it by 6 and then adds 21. The result is 51. What is the number?
  20. 20.Meera is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  21. 21.Solve: 4y − 16 = 28. What is y?
  22. 22.Ishaan is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  23. 23.Solve: 3(n + 5) = 45. What is n?
  24. 24.Solve: 6(m + 7) = 120. What is m?
  25. 25.Solve: 3(m + 4) = 39. What is m?
  26. 26.Solve: 5(y + 1) = 45. What is y?
  27. 27.Solve: 8n + 2 = 26. What is n?
  28. 28.Solve: y/2 + 1 = 14. What is y?
  29. 29.Solve: m/7 + 13 = 25. What is m?
  30. 30.Solve: 8n − 19 = 5. What is n?
  31. 31.Ananya thinks of a number, multiplies it by 3 and then adds 30. The result is 66. What is the number?
  32. 32.Solve: 3(n + 3) = 36. What is n?
  33. 33.Solve: 2y + 18 = 28. What is y?
  34. 34.Solve: 6y + 11 = 95. What is y?
  35. 35.Solve: 9(n + 2) = 90. What is n?
  36. 36.Solve: 4p + 8 = 48. What is p?
  37. 37.Vivaan thinks of a number, multiplies it by 4 and then adds 25. The result is 73. What is the number?
  38. 38.Priya thinks of a number, multiplies it by 7 and then adds 11. The result is 39. What is the number?
  39. 39.Solve: 8(t + 6) = 104. What is t?
  40. 40.Solve: 3y − 5 = 1. What is y?

Answer key

  1. 11
  2. 12
  3. 11
  4. 14
  5. 42
  6. 4
  7. 7
  8. 14
  9. 3
  10. 4
  11. 15
  12. 8
  13. 11
  14. 24
  15. 2
  16. 7
  17. 6
  18. 6
  19. 5
  20. 13
  21. 11
  22. 9
  23. 10
  24. 13
  25. 9
  26. 8
  27. 3
  28. 26
  29. 84
  30. 3
  31. 12
  32. 9
  33. 5
  34. 14
  35. 8
  36. 10
  37. 12
  38. 4
  39. 7
  40. 2

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