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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 432 · 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.Rahul is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  2. 2.Karan’s mother is twice as old as Karan. Their ages add up to 15 years. How old is Karan?
  3. 3.Solve: p/4 + 2 = 7. What is p?
  4. 4.Aditya is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  5. 5.Solve: 4x + 5 = 13. What is x?
  6. 6.Solve: 4p − 14 = 6. What is p?
  7. 7.Solve: 7(n + 3) = 77. What is n?
  8. 8.Solve: 7n + 20 = 111. What is n?
  9. 9.Solve: 7(t + 7) = 91. What is t?
  10. 10.Solve: 4t − 5 = 3. What is t?
  11. 11.Kabir is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  12. 12.Solve: 9m + 12 = 129. What is m?
  13. 13.Solve: 3t − 7 = 5. What is t?
  14. 14.Karan thinks of a number, multiplies it by 4 and then adds 7. The result is 11. What is the number?
  15. 15.Aarav is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  16. 16.Solve: 6p + 23 = 65. What is p?
  17. 17.Farhan thinks of a number, multiplies it by 2 and then adds 12. The result is 14. What is the number?
  18. 18.Solve: 8n − 20 = 4. What is n?
  19. 19.Solve: m/6 + 3 = 4. What is m?
  20. 20.Solve: 9n + 9 = 72. What is n?
  21. 21.Solve: 4y + 18 = 58. What is y?
  22. 22.Solve: 5p − 19 = 11. What is p?
  23. 23.Solve: 6t − 14 = 4. What is t?
  24. 24.Ishaan is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  25. 25.Tara thinks of a number, multiplies it by 8 and then adds 2. The result is 66. What is the number?
  26. 26.Solve: 6n + 13 = 31. What is n?
  27. 27.Solve: 2(y + 8) = 46. What is y?
  28. 28.Farhan thinks of a number, multiplies it by 2 and then adds 16. The result is 46. What is the number?
  29. 29.Meera thinks of a number, multiplies it by 4 and then adds 17. The result is 65. What is the number?
  30. 30.Solve: 6x − 57 = 15. What is x?
  31. 31.Solve: m/3 + 12 = 19. What is m?
  32. 32.Solve: 5(m + 9) = 110. What is m?
  33. 33.Solve: 3n − 38 = 1. What is n?
  34. 34.Solve: 3y + 26 = 65. What is y?
  35. 35.Solve: 3m + 22 = 58. What is m?
  36. 36.Solve: 9(p + 6) = 171. What is p?
  37. 37.Solve: x/2 + 20 = 32. What is x?
  38. 38.Meera is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  39. 39.Solve: t/3 + 2 = 3. What is t?
  40. 40.Solve: 6(n + 8) = 138. What is n?

Answer key

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

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