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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 896 · 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.Nisha thinks of a number, multiplies it by 2 and then adds 26. The result is 50. What is the number?
  2. 2.Solve: p/7 + 19 = 26. What is p?
  3. 3.Solve: 3x − 17 = 13. What is x?
  4. 4.Solve: 6(x + 9) = 120. What is x?
  5. 5.Dev is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  6. 6.Solve: m/4 + 6 = 16. What is m?
  7. 7.Solve: 7n − 37 = 40. What is n?
  8. 8.Solve: 9m − 12 = 6. What is m?
  9. 9.Solve: 6(t + 8) = 132. What is t?
  10. 10.Riya thinks of a number, multiplies it by 4 and then adds 12. The result is 28. What is the number?
  11. 11.Solve: t/4 + 15 = 26. What is t?
  12. 12.Solve: 2t + 20 = 26. What is t?
  13. 13.Joseph thinks of a number, multiplies it by 7 and then adds 1. The result is 57. What is the number?
  14. 14.Solve: 3x + 29 = 65. What is x?
  15. 15.Ishaan thinks of a number, multiplies it by 7 and then adds 28. The result is 77. What is the number?
  16. 16.Rahul thinks of a number, multiplies it by 8 and then adds 24. The result is 32. What is the number?
  17. 17.Solve: y/2 + 2 = 8. What is y?
  18. 18.Solve: 6(x + 1) = 54. What is x?
  19. 19.Solve: 2y + 30 = 42. What is y?
  20. 20.Tara thinks of a number, multiplies it by 2 and then adds 4. The result is 24. What is the number?
  21. 21.Farhan’s mother is four times as old as Farhan. Their ages add up to 50 years. How old is Farhan?
  22. 22.Rahul thinks of a number, multiplies it by 4 and then adds 16. The result is 60. What is the number?
  23. 23.Solve: 4t − 32 = 16. What is t?
  24. 24.Solve: x/2 + 1 = 13. What is x?
  25. 25.Sneha’s mother is twice as old as Sneha. Their ages add up to 33 years. How old is Sneha?
  26. 26.Lakshmi is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  27. 27.Kavya thinks of a number, multiplies it by 2 and then adds 26. The result is 30. What is the number?
  28. 28.Sneha thinks of a number, multiplies it by 5 and then adds 7. The result is 67. What is the number?
  29. 29.Solve: 4t + 22 = 30. What is t?
  30. 30.Solve: 3y + 30 = 69. What is y?
  31. 31.Solve: 3t − 2 = 1. What is t?
  32. 32.Solve: 6p − 37 = 11. What is p?
  33. 33.Solve: 7x − 9 = 12. What is x?
  34. 34.Aarav thinks of a number, multiplies it by 2 and then adds 12. The result is 34. What is the number?
  35. 35.Solve: 5(m + 7) = 100. What is m?
  36. 36.Aditya thinks of a number, multiplies it by 6 and then adds 7. The result is 25. What is the number?
  37. 37.Solve: 5(m + 1) = 50. What is m?
  38. 38.Joseph’s mother is twice as old as Joseph. Their ages add up to 39 years. How old is Joseph?
  39. 39.Solve: 8p + 5 = 45. What is p?
  40. 40.Solve: 2y + 11 = 41. What is y?

Answer key

  1. 12
  2. 49
  3. 10
  4. 11
  5. 8
  6. 40
  7. 11
  8. 2
  9. 14
  10. 4
  11. 44
  12. 3
  13. 8
  14. 12
  15. 7
  16. 1
  17. 12
  18. 8
  19. 6
  20. 10
  21. 10
  22. 11
  23. 12
  24. 24
  25. 11
  26. 5
  27. 2
  28. 12
  29. 2
  30. 13
  31. 1
  32. 8
  33. 3
  34. 11
  35. 13
  36. 3
  37. 9
  38. 13
  39. 5
  40. 15

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