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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 301 · 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: 8(y + 1) = 32. What is y?
  2. 2.Solve: 5y + 7 = 42. What is y?
  3. 3.Solve: m/4 + 19 = 24. What is m?
  4. 4.Zoya is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  5. 5.Priya is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  6. 6.Solve: 6n − 5 = 61. What is n?
  7. 7.Solve: 7n − 56 = 14. What is n?
  8. 8.Isha is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  9. 9.Solve: 2t + 7 = 11. What is t?
  10. 10.Priya thinks of a number, multiplies it by 2 and then adds 15. The result is 23. What is the number?
  11. 11.Solve: 2t − 5 = 15. What is t?
  12. 12.Rohan thinks of a number, multiplies it by 8 and then adds 16. The result is 56. What is the number?
  13. 13.Solve: p/5 + 1 = 16. What is p?
  14. 14.Solve: t/8 + 19 = 30. What is t?
  15. 15.Kavya thinks of a number, multiplies it by 7 and then adds 28. The result is 35. What is the number?
  16. 16.Solve: 8(x + 6) = 112. What is x?
  17. 17.Solve: 5(m + 8) = 50. What is m?
  18. 18.Rahul thinks of a number, multiplies it by 5 and then adds 20. The result is 55. What is the number?
  19. 19.Dev’s mother is three times as old as Dev. Their ages add up to 52 years. How old is Dev?
  20. 20.Dev thinks of a number, multiplies it by 5 and then adds 13. The result is 78. What is the number?
  21. 21.Lakshmi thinks of a number, multiplies it by 9 and then adds 22. The result is 31. What is the number?
  22. 22.Lakshmi thinks of a number, multiplies it by 3 and then adds 2. The result is 11. What is the number?
  23. 23.Solve: 6x − 23 = 1. What is x?
  24. 24.Solve: y/3 + 6 = 16. What is y?
  25. 25.Solve: 7y + 19 = 82. What is y?
  26. 26.Aarav thinks of a number, multiplies it by 6 and then adds 13. The result is 85. What is the number?
  27. 27.Solve: 7n − 97 = 8. What is n?
  28. 28.Solve: 2t + 15 = 31. What is t?
  29. 29.Sneha is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  30. 30.Aarav thinks of a number, multiplies it by 6 and then adds 11. The result is 77. What is the number?
  31. 31.Solve: 7t + 30 = 135. What is t?
  32. 32.Rahul thinks of a number, multiplies it by 7 and then adds 17. The result is 24. What is the number?
  33. 33.Solve: 6n + 16 = 82. What is n?
  34. 34.Solve: 3(y + 4) = 18. What is y?
  35. 35.Priya’s mother is twice as old as Priya. Their ages add up to 42 years. How old is Priya?
  36. 36.Solve: 6n − 20 = 46. What is n?
  37. 37.Solve: 5m + 7 = 27. What is m?
  38. 38.Solve: y/2 + 10 = 15. What is y?
  39. 39.Solve: 6y − 32 = 16. What is y?
  40. 40.Solve: 5p + 14 = 49. What is p?

Answer key

  1. 3
  2. 7
  3. 20
  4. 8
  5. 7
  6. 11
  7. 10
  8. 12
  9. 2
  10. 4
  11. 10
  12. 5
  13. 75
  14. 88
  15. 1
  16. 8
  17. 2
  18. 7
  19. 13
  20. 13
  21. 1
  22. 3
  23. 4
  24. 30
  25. 9
  26. 12
  27. 15
  28. 8
  29. 5
  30. 11
  31. 15
  32. 1
  33. 11
  34. 2
  35. 14
  36. 11
  37. 4
  38. 10
  39. 8
  40. 7

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