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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 210 · 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.Ananya is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  2. 2.Solve: t/6 + 19 = 24. What is t?
  3. 3.Farhan’s mother is twice as old as Farhan. Their ages add up to 45 years. How old is Farhan?
  4. 4.Isha’s mother is four times as old as Isha. Their ages add up to 20 years. How old is Isha?
  5. 5.Solve: p/5 + 14 = 18. What is p?
  6. 6.Isha’s mother is twice as old as Isha. Their ages add up to 21 years. How old is Isha?
  7. 7.Solve: 2y + 21 = 41. What is y?
  8. 8.Solve: 4p − 1 = 35. What is p?
  9. 9.Solve: 5x − 24 = 46. What is x?
  10. 10.Solve: 3t + 3 = 45. What is t?
  11. 11.Solve: 7(m + 2) = 35. What is m?
  12. 12.Solve: 3x − 11 = 13. What is x?
  13. 13.Solve: 8t − 73 = 15. What is t?
  14. 14.Solve: 6x + 28 = 118. What is x?
  15. 15.Rohan thinks of a number, multiplies it by 4 and then adds 3. The result is 15. What is the number?
  16. 16.Solve: 9y + 1 = 55. What is y?
  17. 17.Solve: 8n + 25 = 97. What is n?
  18. 18.Solve: 5t − 33 = 17. What is t?
  19. 19.Solve: t/9 + 16 = 30. What is t?
  20. 20.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 36 years. How old is Vivaan?
  21. 21.Nisha thinks of a number, multiplies it by 7 and then adds 5. The result is 96. What is the number?
  22. 22.Solve: p/4 + 20 = 28. What is p?
  23. 23.Aarav thinks of a number, multiplies it by 6 and then adds 18. The result is 84. What is the number?
  24. 24.Solve: 5n − 7 = 58. What is n?
  25. 25.Ananya thinks of a number, multiplies it by 2 and then adds 24. The result is 50. What is the number?
  26. 26.Solve: 2t + 11 = 17. What is t?
  27. 27.Solve: 2m + 12 = 34. What is m?
  28. 28.Solve: 7(p + 5) = 70. What is p?
  29. 29.Kabir thinks of a number, multiplies it by 5 and then adds 23. The result is 63. What is the number?
  30. 30.Diya is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  31. 31.Riya’s mother is twice as old as Riya. Their ages add up to 45 years. How old is Riya?
  32. 32.Solve: 9x + 23 = 158. What is x?
  33. 33.Solve: 5(x + 1) = 50. What is x?
  34. 34.Solve: 2p + 2 = 26. What is p?
  35. 35.Solve: 7(y + 5) = 70. What is y?
  36. 36.Rohan’s mother is twice as old as Rohan. Their ages add up to 21 years. How old is Rohan?
  37. 37.Solve: 8x − 11 = 5. What is x?
  38. 38.Solve: 6n + 26 = 74. What is n?
  39. 39.Solve: 8t − 27 = 13. What is t?
  40. 40.Solve: 8m + 7 = 79. What is m?

Answer key

  1. 11
  2. 30
  3. 15
  4. 4
  5. 20
  6. 7
  7. 10
  8. 9
  9. 14
  10. 14
  11. 3
  12. 8
  13. 11
  14. 15
  15. 3
  16. 6
  17. 9
  18. 10
  19. 126
  20. 12
  21. 13
  22. 32
  23. 11
  24. 13
  25. 13
  26. 3
  27. 11
  28. 5
  29. 8
  30. 15
  31. 15
  32. 15
  33. 9
  34. 12
  35. 5
  36. 7
  37. 2
  38. 8
  39. 5
  40. 9

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