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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 711 · 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.Isha’s mother is twice as old as Isha. Their ages add up to 15 years. How old is Isha?
  2. 2.Solve: 5p − 19 = 46. What is p?
  3. 3.Solve: 8n + 24 = 64. What is n?
  4. 4.Kabir thinks of a number, multiplies it by 7 and then adds 18. The result is 46. What is the number?
  5. 5.Solve: 9n + 30 = 75. What is n?
  6. 6.Vivaan thinks of a number, multiplies it by 7 and then adds 3. The result is 87. What is the number?
  7. 7.Solve: 3m + 30 = 45. What is m?
  8. 8.Joseph’s mother is twice as old as Joseph. Their ages add up to 18 years. How old is Joseph?
  9. 9.Sneha thinks of a number, multiplies it by 5 and then adds 21. The result is 66. What is the number?
  10. 10.Solve: p/8 + 11 = 23. What is p?
  11. 11.Solve: 3(t + 1) = 30. What is t?
  12. 12.Solve: 5m + 8 = 13. What is m?
  13. 13.Solve: 4y + 7 = 67. What is y?
  14. 14.Manav is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  15. 15.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 15 years. How old is Saanvi?
  16. 16.Diya’s mother is four times as old as Diya. Their ages add up to 25 years. How old is Diya?
  17. 17.Solve: 2n − 1 = 25. What is n?
  18. 18.Solve: 6x − 4 = 2. What is x?
  19. 19.Solve: 6(x + 7) = 66. What is x?
  20. 20.Solve: x/3 + 4 = 9. What is x?
  21. 21.Zoya’s mother is twice as old as Zoya. Their ages add up to 39 years. How old is Zoya?
  22. 22.Solve: 6t − 15 = 21. What is t?
  23. 23.Solve: 4m + 15 = 23. What is m?
  24. 24.Kabir thinks of a number, multiplies it by 5 and then adds 8. The result is 68. What is the number?
  25. 25.Dev is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  26. 26.Solve: 9p + 2 = 20. What is p?
  27. 27.Tara’s mother is twice as old as Tara. Their ages add up to 21 years. How old is Tara?
  28. 28.Meera thinks of a number, multiplies it by 2 and then adds 15. The result is 41. What is the number?
  29. 29.Solve: 5n − 29 = 6. What is n?
  30. 30.Joseph is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  31. 31.Solve: t/9 + 6 = 20. What is t?
  32. 32.Solve: 6(y + 7) = 48. What is y?
  33. 33.Solve: 6t − 16 = 20. What is t?
  34. 34.Solve: 3t + 16 = 43. What is t?
  35. 35.Solve: 2(y + 7) = 32. What is y?
  36. 36.Tara’s mother is four times as old as Tara. Their ages add up to 70 years. How old is Tara?
  37. 37.Solve: 2p − 13 = 1. What is p?
  38. 38.Solve: 5(m + 1) = 50. What is m?
  39. 39.Isha thinks of a number, multiplies it by 9 and then adds 3. The result is 129. What is the number?
  40. 40.Solve: 2p + 26 = 30. What is p?

Answer key

  1. 5
  2. 13
  3. 5
  4. 4
  5. 5
  6. 12
  7. 5
  8. 6
  9. 9
  10. 96
  11. 9
  12. 1
  13. 15
  14. 14
  15. 5
  16. 5
  17. 13
  18. 1
  19. 4
  20. 15
  21. 13
  22. 6
  23. 2
  24. 12
  25. 10
  26. 2
  27. 7
  28. 13
  29. 7
  30. 5
  31. 126
  32. 1
  33. 6
  34. 9
  35. 9
  36. 14
  37. 7
  38. 9
  39. 14
  40. 2

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