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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 231 · 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: 7p − 2 = 26. What is p?
  2. 2.Aarav’s mother is four times as old as Aarav. Their ages add up to 25 years. How old is Aarav?
  3. 3.Lakshmi thinks of a number, multiplies it by 6 and then adds 12. The result is 60. What is the number?
  4. 4.Solve: 2(p + 7) = 30. What is p?
  5. 5.Solve: 5n − 29 = 31. What is n?
  6. 6.Solve: 3t + 17 = 56. What is t?
  7. 7.Zoya thinks of a number, multiplies it by 9 and then adds 26. The result is 89. What is the number?
  8. 8.Isha’s mother is four times as old as Isha. Their ages add up to 40 years. How old is Isha?
  9. 9.Sneha thinks of a number, multiplies it by 7 and then adds 30. The result is 86. What is the number?
  10. 10.Zoya thinks of a number, multiplies it by 3 and then adds 9. The result is 15. What is the number?
  11. 11.Solve: 8(x + 2) = 80. What is x?
  12. 12.Ananya thinks of a number, multiplies it by 9 and then adds 17. The result is 44. What is the number?
  13. 13.Solve: 5p + 3 = 13. What is p?
  14. 14.Solve: n/2 + 7 = 20. What is n?
  15. 15.Solve: 9x + 26 = 125. What is x?
  16. 16.Solve: t/8 + 8 = 23. What is t?
  17. 17.Solve: 8(x + 4) = 48. What is x?
  18. 18.Solve: 5(x + 1) = 10. What is x?
  19. 19.Solve: 5y + 8 = 68. What is y?
  20. 20.Rahul is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  21. 21.Solve: 7m + 4 = 18. What is m?
  22. 22.Solve: 3y − 29 = 7. What is y?
  23. 23.Solve: 7(y + 3) = 42. What is y?
  24. 24.Rahul’s mother is three times as old as Rahul. Their ages add up to 24 years. How old is Rahul?
  25. 25.Pooja thinks of a number, multiplies it by 8 and then adds 3. The result is 43. What is the number?
  26. 26.Tara is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  27. 27.Solve: 2m + 3 = 11. What is m?
  28. 28.Solve: 2m + 4 = 32. What is m?
  29. 29.Solve: 9(x + 3) = 108. What is x?
  30. 30.Riya thinks of a number, multiplies it by 3 and then adds 18. The result is 42. What is the number?
  31. 31.Solve: 7t + 29 = 78. What is t?
  32. 32.Solve: 3(t + 9) = 54. What is t?
  33. 33.Solve: 8x − 14 = 50. What is x?
  34. 34.Isha is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  35. 35.Solve: 5n + 23 = 33. What is n?
  36. 36.Solve: 4y − 8 = 4. What is y?
  37. 37.Aarav’s mother is twice as old as Aarav. Their ages add up to 18 years. How old is Aarav?
  38. 38.Ananya thinks of a number, multiplies it by 7 and then adds 15. The result is 50. What is the number?
  39. 39.Solve: 2p + 22 = 52. What is p?
  40. 40.Solve: 3p − 16 = 11. What is p?

Answer key

  1. 4
  2. 5
  3. 8
  4. 8
  5. 12
  6. 13
  7. 7
  8. 8
  9. 8
  10. 2
  11. 8
  12. 3
  13. 2
  14. 26
  15. 11
  16. 120
  17. 2
  18. 1
  19. 12
  20. 9
  21. 2
  22. 12
  23. 3
  24. 6
  25. 5
  26. 5
  27. 4
  28. 14
  29. 9
  30. 8
  31. 7
  32. 9
  33. 8
  34. 4
  35. 2
  36. 3
  37. 6
  38. 5
  39. 15
  40. 9

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