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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 73 · 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: 5x − 5 = 45. What is x?
  2. 2.Solve: 5p − 1 = 14. What is p?
  3. 3.Rohan thinks of a number, multiplies it by 4 and then adds 5. The result is 37. What is the number?
  4. 4.Solve: 2p + 20 = 22. What is p?
  5. 5.Solve: 3t − 29 = 1. What is t?
  6. 6.Solve: 9p + 9 = 144. What is p?
  7. 7.Aarav is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  8. 8.Rohan thinks of a number, multiplies it by 6 and then adds 27. The result is 57. What is the number?
  9. 9.Kabir is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  10. 10.Solve: 9t + 25 = 70. What is t?
  11. 11.Solve: 5n + 27 = 62. What is n?
  12. 12.Solve: m/6 + 2 = 15. What is m?
  13. 13.Solve: 4x − 7 = 17. What is x?
  14. 14.Solve: 3x + 5 = 38. What is x?
  15. 15.Isha is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  16. 16.Solve: 7n + 21 = 28. What is n?
  17. 17.Solve: n/2 + 1 = 15. What is n?
  18. 18.Solve: 4m + 25 = 73. What is m?
  19. 19.Rohan thinks of a number, multiplies it by 3 and then adds 5. The result is 38. What is the number?
  20. 20.Solve: 8n + 14 = 46. What is n?
  21. 21.Kabir is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  22. 22.Aarav thinks of a number, multiplies it by 3 and then adds 6. The result is 48. What is the number?
  23. 23.Tara’s mother is twice as old as Tara. Their ages add up to 36 years. How old is Tara?
  24. 24.Solve: n/7 + 1 = 2. What is n?
  25. 25.Aarav is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  26. 26.Arjun thinks of a number, multiplies it by 4 and then adds 10. The result is 22. What is the number?
  27. 27.Solve: 5m + 17 = 92. What is m?
  28. 28.Pooja’s mother is twice as old as Pooja. Their ages add up to 45 years. How old is Pooja?
  29. 29.Tara is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  30. 30.Solve: 4x + 28 = 84. What is x?
  31. 31.Solve: 8(n + 3) = 80. What is n?
  32. 32.Solve: 3t + 28 = 46. What is t?
  33. 33.Arjun thinks of a number, multiplies it by 5 and then adds 13. The result is 53. What is the number?
  34. 34.Solve: y/3 + 5 = 16. What is y?
  35. 35.Solve: 7p + 19 = 40. What is p?
  36. 36.Kabir is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  37. 37.Kavya’s mother is three times as old as Kavya. Their ages add up to 56 years. How old is Kavya?
  38. 38.Solve: 6m − 14 = 40. What is m?
  39. 39.Priya’s mother is twice as old as Priya. Their ages add up to 21 years. How old is Priya?
  40. 40.Solve: m/7 + 11 = 25. What is m?

Answer key

  1. 10
  2. 3
  3. 8
  4. 1
  5. 10
  6. 15
  7. 11
  8. 5
  9. 14
  10. 5
  11. 7
  12. 78
  13. 6
  14. 11
  15. 10
  16. 1
  17. 28
  18. 12
  19. 11
  20. 4
  21. 7
  22. 14
  23. 12
  24. 7
  25. 6
  26. 3
  27. 15
  28. 15
  29. 13
  30. 14
  31. 7
  32. 6
  33. 8
  34. 33
  35. 3
  36. 6
  37. 14
  38. 9
  39. 7
  40. 98

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