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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 80 · 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: 6y + 4 = 64. What is y?
  2. 2.Sneha thinks of a number, multiplies it by 3 and then adds 25. The result is 43. What is the number?
  3. 3.Solve: 8(p + 2) = 64. What is p?
  4. 4.Solve: y/9 + 11 = 23. What is y?
  5. 5.Arjun is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  6. 6.Vivaan thinks of a number, multiplies it by 8 and then adds 28. The result is 52. What is the number?
  7. 7.Solve: 8(n + 8) = 104. What is n?
  8. 8.Solve: 9m + 7 = 115. What is m?
  9. 9.Solve: 4y + 29 = 77. What is y?
  10. 10.Ananya is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  11. 11.Solve: 9x − 34 = 56. What is x?
  12. 12.Joseph’s mother is three times as old as Joseph. Their ages add up to 20 years. How old is Joseph?
  13. 13.Solve: 8m + 12 = 60. What is m?
  14. 14.Ananya thinks of a number, multiplies it by 2 and then adds 23. The result is 31. What is the number?
  15. 15.Pooja is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  16. 16.Riya is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  17. 17.Solve: 9t + 22 = 103. What is t?
  18. 18.Solve: p/5 + 10 = 17. What is p?
  19. 19.Aarav’s mother is three times as old as Aarav. Their ages add up to 52 years. How old is Aarav?
  20. 20.Solve: 6n − 14 = 4. What is n?
  21. 21.Solve: 3m + 3 = 45. What is m?
  22. 22.Solve: 5(x + 9) = 75. What is x?
  23. 23.Solve: 2x + 23 = 27. What is x?
  24. 24.Solve: x/8 + 4 = 15. What is x?
  25. 25.Solve: 7(m + 9) = 119. What is m?
  26. 26.Solve: 4x + 3 = 19. What is x?
  27. 27.Solve: 8n + 11 = 115. What is n?
  28. 28.Solve: 9x − 88 = 2. What is x?
  29. 29.Solve: y/8 + 7 = 11. What is y?
  30. 30.Solve: 4n + 2 = 10. What is n?
  31. 31.Solve: t/9 + 17 = 19. What is t?
  32. 32.Solve: 2(n + 1) = 12. What is n?
  33. 33.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 39 years. How old is Vivaan?
  34. 34.Solve: 4n + 11 = 19. What is n?
  35. 35.Solve: 5(n + 1) = 10. What is n?
  36. 36.Solve: 8x − 39 = 9. What is x?
  37. 37.Solve: 5p − 64 = 11. What is p?
  38. 38.Sneha is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  39. 39.Tara’s mother is three times as old as Tara. Their ages add up to 36 years. How old is Tara?
  40. 40.Solve: 3t + 29 = 68. What is t?

Answer key

  1. 10
  2. 6
  3. 6
  4. 108
  5. 10
  6. 3
  7. 5
  8. 12
  9. 12
  10. 5
  11. 10
  12. 5
  13. 6
  14. 4
  15. 6
  16. 8
  17. 9
  18. 35
  19. 13
  20. 3
  21. 14
  22. 6
  23. 2
  24. 88
  25. 8
  26. 4
  27. 13
  28. 10
  29. 32
  30. 2
  31. 18
  32. 5
  33. 13
  34. 2
  35. 1
  36. 6
  37. 15
  38. 10
  39. 9
  40. 13

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