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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 105 · 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: 3p − 4 = 23. What is p?
  2. 2.Solve: 2m − 7 = 19. What is m?
  3. 3.Tara thinks of a number, multiplies it by 6 and then adds 1. The result is 19. What is the number?
  4. 4.Kavya’s mother is twice as old as Kavya. Their ages add up to 27 years. How old is Kavya?
  5. 5.Solve: 6(y + 9) = 66. What is y?
  6. 6.Solve: 8n + 5 = 45. What is n?
  7. 7.Priya’s mother is twice as old as Priya. Their ages add up to 36 years. How old is Priya?
  8. 8.Solve: 7x − 2 = 5. What is x?
  9. 9.Lakshmi thinks of a number, multiplies it by 6 and then adds 7. The result is 25. What is the number?
  10. 10.Solve: 2(y + 3) = 34. What is y?
  11. 11.Karan thinks of a number, multiplies it by 5 and then adds 9. The result is 69. What is the number?
  12. 12.Rohan thinks of a number, multiplies it by 8 and then adds 8. The result is 16. What is the number?
  13. 13.Solve: 7(m + 7) = 84. What is m?
  14. 14.Solve: 3y − 21 = 18. What is y?
  15. 15.Solve: x/4 + 11 = 21. What is x?
  16. 16.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 21 years. How old is Lakshmi?
  17. 17.Solve: x/2 + 10 = 14. What is x?
  18. 18.Farhan is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  19. 19.Solve: n/5 + 13 = 15. What is n?
  20. 20.Solve: 5(x + 1) = 45. What is x?
  21. 21.Solve: 9x + 2 = 101. What is x?
  22. 22.Solve: n/7 + 8 = 20. What is n?
  23. 23.Riya thinks of a number, multiplies it by 2 and then adds 19. The result is 31. What is the number?
  24. 24.Solve: 4x − 31 = 13. What is x?
  25. 25.Solve: 7(n + 5) = 56. What is n?
  26. 26.Solve: y/3 + 4 = 19. What is y?
  27. 27.Solve: 5(y + 1) = 25. What is y?
  28. 28.Aditya is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  29. 29.Solve: 2x − 12 = 2. What is x?
  30. 30.Solve: 3m + 2 = 26. What is m?
  31. 31.Solve: 8n + 22 = 38. What is n?
  32. 32.Vivaan is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  33. 33.Solve: 2m + 28 = 54. What is m?
  34. 34.Nisha’s mother is three times as old as Nisha. Their ages add up to 28 years. How old is Nisha?
  35. 35.Solve: 2x + 20 = 38. What is x?
  36. 36.Ananya’s mother is twice as old as Ananya. Their ages add up to 18 years. How old is Ananya?
  37. 37.Solve: 9p − 20 = 7. What is p?
  38. 38.Zoya thinks of a number, multiplies it by 5 and then adds 21. The result is 51. What is the number?
  39. 39.Solve: 3(t + 3) = 48. What is t?
  40. 40.Gurpreet is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?

Answer key

  1. 9
  2. 13
  3. 3
  4. 9
  5. 2
  6. 5
  7. 12
  8. 1
  9. 3
  10. 14
  11. 12
  12. 1
  13. 5
  14. 13
  15. 40
  16. 7
  17. 8
  18. 9
  19. 10
  20. 8
  21. 11
  22. 84
  23. 6
  24. 11
  25. 3
  26. 45
  27. 4
  28. 7
  29. 7
  30. 8
  31. 2
  32. 14
  33. 13
  34. 7
  35. 9
  36. 6
  37. 3
  38. 6
  39. 13
  40. 12

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