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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 463 · 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: 4(p + 5) = 76. What is p?
  2. 2.Aditya thinks of a number, multiplies it by 8 and then adds 29. The result is 93. What is the number?
  3. 3.Solve: 4m − 9 = 3. What is m?
  4. 4.Solve: m/2 + 5 = 7. What is m?
  5. 5.Solve: 8m + 27 = 83. What is m?
  6. 6.Solve: 4(x + 5) = 40. What is x?
  7. 7.Rohan’s mother is twice as old as Rohan. Their ages add up to 15 years. How old is Rohan?
  8. 8.Kabir is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  9. 9.Solve: 4m + 16 = 28. What is m?
  10. 10.Solve: 3(n + 2) = 15. What is n?
  11. 11.Solve: 7y − 45 = 46. What is y?
  12. 12.Solve: 6(m + 1) = 90. What is m?
  13. 13.Solve: 5p − 40 = 25. What is p?
  14. 14.Diya is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  15. 15.Solve: 6t − 19 = 5. What is t?
  16. 16.Solve: 4t − 5 = 3. What is t?
  17. 17.Solve: 2(y + 7) = 36. What is y?
  18. 18.Solve: t/5 + 2 = 3. What is t?
  19. 19.Solve: t/9 + 13 = 15. What is t?
  20. 20.Rohan is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  21. 21.Solve: t/9 + 18 = 29. What is t?
  22. 22.Solve: x/8 + 1 = 4. What is x?
  23. 23.Solve: 3(t + 3) = 51. What is t?
  24. 24.Solve: 5n − 10 = 65. What is n?
  25. 25.Solve: 9p + 2 = 47. What is p?
  26. 26.Solve: 5p + 23 = 53. What is p?
  27. 27.Solve: p/2 + 20 = 25. What is p?
  28. 28.Solve: 4t + 7 = 67. What is t?
  29. 29.Dev is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  30. 30.Solve: 9(t + 1) = 27. What is t?
  31. 31.Isha thinks of a number, multiplies it by 2 and then adds 16. The result is 24. What is the number?
  32. 32.Solve: 9(p + 2) = 54. What is p?
  33. 33.Solve: 6x + 7 = 55. What is x?
  34. 34.Sneha is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  35. 35.Solve: 3m + 22 = 67. What is m?
  36. 36.Diya thinks of a number, multiplies it by 4 and then adds 16. The result is 76. What is the number?
  37. 37.Solve: 8t + 4 = 116. What is t?
  38. 38.Solve: x/3 + 14 = 27. What is x?
  39. 39.Priya’s mother is three times as old as Priya. Their ages add up to 56 years. How old is Priya?
  40. 40.Solve: 4m − 8 = 24. What is m?

Answer key

  1. 14
  2. 8
  3. 3
  4. 4
  5. 7
  6. 5
  7. 5
  8. 13
  9. 3
  10. 3
  11. 13
  12. 14
  13. 13
  14. 11
  15. 4
  16. 2
  17. 11
  18. 5
  19. 18
  20. 14
  21. 99
  22. 24
  23. 14
  24. 15
  25. 5
  26. 6
  27. 10
  28. 15
  29. 4
  30. 2
  31. 4
  32. 4
  33. 8
  34. 9
  35. 15
  36. 15
  37. 14
  38. 39
  39. 14
  40. 8

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