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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 365 · 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: 2x + 7 = 37. What is x?
  2. 2.Diya is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  3. 3.Isha thinks of a number, multiplies it by 2 and then adds 23. The result is 43. What is the number?
  4. 4.Solve: 2y + 12 = 42. What is y?
  5. 5.Solve: 5t + 3 = 23. What is t?
  6. 6.Solve: m/4 + 20 = 23. What is m?
  7. 7.Solve: 2y + 6 = 24. What is y?
  8. 8.Solve: 3x − 28 = 8. What is x?
  9. 9.Solve: 6p + 3 = 81. What is p?
  10. 10.Solve: 3n + 2 = 41. What is n?
  11. 11.Sneha thinks of a number, multiplies it by 7 and then adds 18. The result is 67. What is the number?
  12. 12.Solve: p/3 + 7 = 15. What is p?
  13. 13.Aarav’s mother is three times as old as Aarav. Their ages add up to 56 years. How old is Aarav?
  14. 14.Solve: 9p + 23 = 122. What is p?
  15. 15.Solve: 7(m + 7) = 84. What is m?
  16. 16.Solve: 3p − 40 = 2. What is p?
  17. 17.Solve: m/9 + 1 = 8. What is m?
  18. 18.Solve: 9p + 22 = 148. What is p?
  19. 19.Farhan’s mother is four times as old as Farhan. Their ages add up to 65 years. How old is Farhan?
  20. 20.Solve: m/3 + 11 = 18. What is m?
  21. 21.Solve: 7x + 26 = 117. What is x?
  22. 22.Aarav is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  23. 23.Solve: 6x − 8 = 4. What is x?
  24. 24.Sneha’s mother is three times as old as Sneha. Their ages add up to 60 years. How old is Sneha?
  25. 25.Solve: 5(n + 5) = 65. What is n?
  26. 26.Solve: 3y − 14 = 7. What is y?
  27. 27.Solve: x/6 + 15 = 16. What is x?
  28. 28.Solve: 6(x + 2) = 24. What is x?
  29. 29.Solve: 6p + 25 = 37. What is p?
  30. 30.Gurpreet thinks of a number, multiplies it by 6 and then adds 5. The result is 23. What is the number?
  31. 31.Solve: t/8 + 19 = 24. What is t?
  32. 32.Priya thinks of a number, multiplies it by 5 and then adds 11. The result is 26. What is the number?
  33. 33.Solve: 8n + 16 = 40. What is n?
  34. 34.Solve: x/5 + 20 = 27. What is x?
  35. 35.Solve: y/5 + 19 = 22. What is y?
  36. 36.Solve: 4n + 25 = 81. What is n?
  37. 37.Aarav is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  38. 38.Solve: 7t − 1 = 20. What is t?
  39. 39.Solve: 7t + 20 = 76. What is t?
  40. 40.Solve: 2m − 15 = 5. What is m?

Answer key

  1. 15
  2. 8
  3. 10
  4. 15
  5. 4
  6. 12
  7. 9
  8. 12
  9. 13
  10. 13
  11. 7
  12. 24
  13. 14
  14. 11
  15. 5
  16. 14
  17. 63
  18. 14
  19. 13
  20. 21
  21. 13
  22. 13
  23. 2
  24. 15
  25. 8
  26. 7
  27. 6
  28. 2
  29. 2
  30. 3
  31. 40
  32. 3
  33. 3
  34. 35
  35. 15
  36. 14
  37. 7
  38. 3
  39. 8
  40. 10

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