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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 138 · 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: y/2 + 15 = 20. What is y?
  2. 2.Solve: 3p − 8 = 1. What is p?
  3. 3.Dev’s mother is four times as old as Dev. Their ages add up to 20 years. How old is Dev?
  4. 4.Solve: 6(x + 2) = 18. What is x?
  5. 5.Solve: p/9 + 18 = 27. What is p?
  6. 6.Solve: y/8 + 11 = 12. What is y?
  7. 7.Arjun is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  8. 8.Solve: x/4 + 10 = 14. What is x?
  9. 9.Isha’s mother is twice as old as Isha. Their ages add up to 36 years. How old is Isha?
  10. 10.Solve: 8n + 13 = 109. What is n?
  11. 11.Solve: p/2 + 12 = 26. What is p?
  12. 12.Solve: 5x + 20 = 50. What is x?
  13. 13.Arjun’s mother is three times as old as Arjun. Their ages add up to 24 years. How old is Arjun?
  14. 14.Solve: 5m + 1 = 71. What is m?
  15. 15.Solve: 5y − 30 = 10. What is y?
  16. 16.Solve: 9t − 58 = 23. What is t?
  17. 17.Manav thinks of a number, multiplies it by 5 and then adds 19. The result is 29. What is the number?
  18. 18.Lakshmi thinks of a number, multiplies it by 3 and then adds 14. The result is 38. What is the number?
  19. 19.Manav is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  20. 20.Solve: y/3 + 11 = 14. What is y?
  21. 21.Solve: 5p − 4 = 1. What is p?
  22. 22.Solve: 5x + 16 = 91. What is x?
  23. 23.Solve: 6p − 40 = 2. What is p?
  24. 24.Solve: 5(m + 1) = 25. What is m?
  25. 25.Solve: 5y − 12 = 8. What is y?
  26. 26.Sneha thinks of a number, multiplies it by 4 and then adds 2. The result is 42. What is the number?
  27. 27.Zoya is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  28. 28.Solve: 8m − 15 = 17. What is m?
  29. 29.Solve: 5p + 15 = 55. What is p?
  30. 30.Solve: 9n + 26 = 35. What is n?
  31. 31.Solve: 7m + 28 = 84. What is m?
  32. 32.Solve: 9(t + 6) = 171. What is t?
  33. 33.Zoya thinks of a number, multiplies it by 4 and then adds 23. The result is 83. What is the number?
  34. 34.Solve: 6(y + 5) = 102. What is y?
  35. 35.Diya thinks of a number, multiplies it by 7 and then adds 8. The result is 106. What is the number?
  36. 36.Solve: 5(y + 9) = 75. What is y?
  37. 37.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 56 years. How old is Gurpreet?
  38. 38.Solve: 2x + 18 = 48. What is x?
  39. 39.Solve: 6(t + 7) = 66. What is t?
  40. 40.Solve: 4t − 6 = 2. What is t?

Answer key

  1. 10
  2. 3
  3. 4
  4. 1
  5. 81
  6. 8
  7. 10
  8. 16
  9. 12
  10. 12
  11. 28
  12. 6
  13. 6
  14. 14
  15. 8
  16. 9
  17. 2
  18. 8
  19. 10
  20. 9
  21. 1
  22. 15
  23. 7
  24. 4
  25. 4
  26. 10
  27. 15
  28. 4
  29. 8
  30. 1
  31. 8
  32. 13
  33. 15
  34. 12
  35. 14
  36. 6
  37. 14
  38. 15
  39. 4
  40. 2

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