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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 172 · 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.Vivaan thinks of a number, multiplies it by 3 and then adds 14. The result is 47. What is the number?
  2. 2.Solve: 5(n + 5) = 30. What is n?
  3. 3.Solve: 9t − 2 = 7. What is t?
  4. 4.Farhan is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  5. 5.Solve: 2p − 3 = 5. What is p?
  6. 6.Solve: 4y − 27 = 1. What is y?
  7. 7.Solve: p/7 + 3 = 6. What is p?
  8. 8.Solve: y/4 + 8 = 20. What is y?
  9. 9.Solve: 3m + 5 = 44. What is m?
  10. 10.Solve: 3n − 7 = 23. What is n?
  11. 11.Solve: 3(x + 1) = 45. What is x?
  12. 12.Rahul thinks of a number, multiplies it by 2 and then adds 3. The result is 17. What is the number?
  13. 13.Solve: 9(t + 5) = 135. What is t?
  14. 14.Solve: 9t − 96 = 12. What is t?
  15. 15.Solve: 3(m + 8) = 33. What is m?
  16. 16.Ishaan is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  17. 17.Meera is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  18. 18.Solve: y/5 + 6 = 7. What is y?
  19. 19.Solve: 8n + 11 = 43. What is n?
  20. 20.Solve: 5y + 5 = 60. What is y?
  21. 21.Arjun’s mother is twice as old as Arjun. Their ages add up to 30 years. How old is Arjun?
  22. 22.Solve: 3t + 22 = 37. What is t?
  23. 23.Rohan thinks of a number, multiplies it by 2 and then adds 7. The result is 15. What is the number?
  24. 24.Solve: 8x − 1 = 7. What is x?
  25. 25.Karan thinks of a number, multiplies it by 6 and then adds 26. The result is 110. What is the number?
  26. 26.Vivaan thinks of a number, multiplies it by 3 and then adds 5. The result is 8. What is the number?
  27. 27.Solve: 8t − 29 = 83. What is t?
  28. 28.Meera’s mother is three times as old as Meera. Their ages add up to 52 years. How old is Meera?
  29. 29.Riya thinks of a number, multiplies it by 4 and then adds 7. The result is 55. What is the number?
  30. 30.Solve: p/6 + 7 = 17. What is p?
  31. 31.Solve: 6y − 16 = 62. What is y?
  32. 32.Diya thinks of a number, multiplies it by 5 and then adds 17. The result is 47. What is the number?
  33. 33.Solve: 4(m + 1) = 60. What is m?
  34. 34.Solve: 2m + 28 = 56. What is m?
  35. 35.Solve: 7(y + 5) = 77. What is y?
  36. 36.Solve: 9x + 24 = 114. What is x?
  37. 37.Joseph is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  38. 38.Lakshmi’s mother is three times as old as Lakshmi. Their ages add up to 36 years. How old is Lakshmi?
  39. 39.Solve: 7(m + 8) = 98. What is m?
  40. 40.Solve: n/2 + 13 = 14. What is n?

Answer key

  1. 11
  2. 1
  3. 1
  4. 8
  5. 4
  6. 7
  7. 21
  8. 48
  9. 13
  10. 10
  11. 14
  12. 7
  13. 10
  14. 12
  15. 3
  16. 11
  17. 11
  18. 5
  19. 4
  20. 11
  21. 10
  22. 5
  23. 4
  24. 1
  25. 14
  26. 1
  27. 14
  28. 13
  29. 12
  30. 60
  31. 13
  32. 6
  33. 14
  34. 14
  35. 6
  36. 10
  37. 7
  38. 9
  39. 6
  40. 2

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