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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 467 · 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: 2t − 4 = 20. What is t?
  2. 2.Solve: 9x − 3 = 6. What is x?
  3. 3.Solve: n/2 + 3 = 11. What is n?
  4. 4.Dev thinks of a number, multiplies it by 2 and then adds 6. The result is 12. What is the number?
  5. 5.Meera is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  6. 6.Diya’s mother is three times as old as Diya. Their ages add up to 48 years. How old is Diya?
  7. 7.Solve: 5(p + 1) = 10. What is p?
  8. 8.Solve: x/7 + 6 = 9. What is x?
  9. 9.Solve: 5(m + 7) = 75. What is m?
  10. 10.Zoya’s mother is four times as old as Zoya. Their ages add up to 40 years. How old is Zoya?
  11. 11.Arjun’s mother is four times as old as Arjun. Their ages add up to 35 years. How old is Arjun?
  12. 12.Solve: 3(t + 5) = 54. What is t?
  13. 13.Solve: n/7 + 4 = 14. What is n?
  14. 14.Solve: 7n + 6 = 48. What is n?
  15. 15.Solve: p/2 + 1 = 12. What is p?
  16. 16.Solve: 2t + 8 = 10. What is t?
  17. 17.Solve: 9(x + 4) = 126. What is x?
  18. 18.Solve: 7(y + 2) = 49. What is y?
  19. 19.Solve: n/7 + 18 = 33. What is n?
  20. 20.Solve: 5n − 4 = 1. What is n?
  21. 21.Karan thinks of a number, multiplies it by 9 and then adds 2. The result is 119. What is the number?
  22. 22.Solve: x/7 + 17 = 25. What is x?
  23. 23.Solve: 4n − 3 = 25. What is n?
  24. 24.Solve: y/9 + 4 = 12. What is y?
  25. 25.Solve: 4x + 13 = 37. What is x?
  26. 26.Solve: 8x + 28 = 108. What is x?
  27. 27.Manav is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  28. 28.Solve: 6p − 4 = 86. What is p?
  29. 29.Solve: 6n − 3 = 9. What is n?
  30. 30.Meera is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  31. 31.Rohan thinks of a number, multiplies it by 6 and then adds 2. The result is 50. What is the number?
  32. 32.Solve: y/3 + 2 = 11. What is y?
  33. 33.Solve: 9(t + 6) = 72. What is t?
  34. 34.Tara thinks of a number, multiplies it by 8 and then adds 3. The result is 83. What is the number?
  35. 35.Solve: 5p − 27 = 18. What is p?
  36. 36.Solve: 7y + 5 = 12. What is y?
  37. 37.Kabir is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  38. 38.Nisha is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  39. 39.Solve: 3y + 14 = 35. What is y?
  40. 40.Priya is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?

Answer key

  1. 12
  2. 1
  3. 16
  4. 3
  5. 9
  6. 12
  7. 1
  8. 21
  9. 8
  10. 8
  11. 7
  12. 13
  13. 70
  14. 6
  15. 22
  16. 1
  17. 10
  18. 5
  19. 105
  20. 1
  21. 13
  22. 56
  23. 7
  24. 72
  25. 6
  26. 10
  27. 13
  28. 15
  29. 2
  30. 10
  31. 8
  32. 27
  33. 2
  34. 10
  35. 9
  36. 1
  37. 12
  38. 7
  39. 7
  40. 4

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