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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 689 · 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: 7x − 21 = 70. What is x?
  2. 2.Solve: 9x − 2 = 25. What is x?
  3. 3.Ananya’s mother is four times as old as Ananya. Their ages add up to 45 years. How old is Ananya?
  4. 4.Solve: 3n + 3 = 48. What is n?
  5. 5.Solve: y/8 + 1 = 4. What is y?
  6. 6.Solve: 9x − 21 = 96. What is x?
  7. 7.Solve: 7m − 2 = 82. What is m?
  8. 8.Solve: n/3 + 10 = 13. What is n?
  9. 9.Solve: 5m + 9 = 49. What is m?
  10. 10.Dev thinks of a number, multiplies it by 6 and then adds 3. The result is 51. What is the number?
  11. 11.Solve: 7y − 27 = 15. What is y?
  12. 12.Solve: 7(y + 6) = 77. What is y?
  13. 13.Solve: 3p + 21 = 54. What is p?
  14. 14.Meera thinks of a number, multiplies it by 2 and then adds 25. The result is 33. What is the number?
  15. 15.Solve: 6t + 18 = 60. What is t?
  16. 16.Farhan thinks of a number, multiplies it by 7 and then adds 10. The result is 24. What is the number?
  17. 17.Solve: 7(p + 3) = 119. What is p?
  18. 18.Solve: 7(x + 8) = 161. What is x?
  19. 19.Solve: y/4 + 5 = 16. What is y?
  20. 20.Aarav’s mother is twice as old as Aarav. Their ages add up to 42 years. How old is Aarav?
  21. 21.Aditya is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  22. 22.Rahul is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  23. 23.Solve: 2t − 1 = 1. What is t?
  24. 24.Solve: 4y − 6 = 2. What is y?
  25. 25.Solve: 7y + 29 = 92. What is y?
  26. 26.Farhan thinks of a number, multiplies it by 3 and then adds 13. The result is 43. What is the number?
  27. 27.Solve: 8x + 3 = 43. What is x?
  28. 28.Solve: 2m + 5 = 15. What is m?
  29. 29.Nisha’s mother is twice as old as Nisha. Their ages add up to 45 years. How old is Nisha?
  30. 30.Solve: 2t + 14 = 24. What is t?
  31. 31.Solve: n/4 + 20 = 32. What is n?
  32. 32.Nisha is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  33. 33.Solve: 4(t + 3) = 32. What is t?
  34. 34.Solve: 9(p + 1) = 81. What is p?
  35. 35.Solve: t/4 + 1 = 15. What is t?
  36. 36.Solve: 5(m + 9) = 115. What is m?
  37. 37.Tara thinks of a number, multiplies it by 9 and then adds 15. The result is 60. What is the number?
  38. 38.Solve: 6x − 18 = 12. What is x?
  39. 39.Solve: 5x + 22 = 42. What is x?
  40. 40.Gurpreet is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?

Answer key

  1. 13
  2. 3
  3. 9
  4. 15
  5. 24
  6. 13
  7. 12
  8. 9
  9. 8
  10. 8
  11. 6
  12. 5
  13. 11
  14. 4
  15. 7
  16. 2
  17. 14
  18. 15
  19. 44
  20. 14
  21. 5
  22. 9
  23. 1
  24. 2
  25. 9
  26. 10
  27. 5
  28. 5
  29. 15
  30. 5
  31. 48
  32. 7
  33. 5
  34. 8
  35. 56
  36. 14
  37. 5
  38. 5
  39. 4
  40. 10

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