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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 586 · 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: 5x − 9 = 46. What is x?
  2. 2.Solve: n/5 + 19 = 27. What is n?
  3. 3.Arjun thinks of a number, multiplies it by 3 and then adds 13. The result is 19. What is the number?
  4. 4.Solve: n/2 + 16 = 20. What is n?
  5. 5.Solve: 4(m + 6) = 40. What is m?
  6. 6.Solve: 9m + 22 = 31. What is m?
  7. 7.Farhan’s mother is twice as old as Farhan. Their ages add up to 30 years. How old is Farhan?
  8. 8.Solve: m/9 + 10 = 20. What is m?
  9. 9.Solve: 8t + 29 = 37. What is t?
  10. 10.Dev thinks of a number, multiplies it by 4 and then adds 20. The result is 76. What is the number?
  11. 11.Solve: 7p + 25 = 46. What is p?
  12. 12.Solve: 3m + 3 = 48. What is m?
  13. 13.Solve: 9(x + 8) = 198. What is x?
  14. 14.Solve: y/6 + 15 = 21. What is y?
  15. 15.Aditya thinks of a number, multiplies it by 2 and then adds 26. The result is 52. What is the number?
  16. 16.Solve: 7(n + 8) = 126. What is n?
  17. 17.Solve: 5x − 1 = 14. What is x?
  18. 18.Solve: x/5 + 3 = 14. What is x?
  19. 19.Solve: 9(x + 5) = 117. What is x?
  20. 20.Nisha thinks of a number, multiplies it by 3 and then adds 13. The result is 31. What is the number?
  21. 21.Solve: 9m + 5 = 95. What is m?
  22. 22.Pooja thinks of a number, multiplies it by 8 and then adds 25. The result is 89. What is the number?
  23. 23.Solve: 3t + 1 = 7. What is t?
  24. 24.Diya thinks of a number, multiplies it by 2 and then adds 4. The result is 12. What is the number?
  25. 25.Solve: 7(y + 6) = 77. What is y?
  26. 26.Manav thinks of a number, multiplies it by 3 and then adds 11. The result is 53. What is the number?
  27. 27.Solve: x/7 + 19 = 26. What is x?
  28. 28.Farhan is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  29. 29.Solve: 9(p + 8) = 153. What is p?
  30. 30.Solve: 9(n + 1) = 63. What is n?
  31. 31.Ananya is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  32. 32.Solve: 5(n + 1) = 10. What is n?
  33. 33.Solve: 4(t + 8) = 80. What is t?
  34. 34.Riya is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  35. 35.Isha thinks of a number, multiplies it by 2 and then adds 28. The result is 54. What is the number?
  36. 36.Solve: x/3 + 8 = 21. What is x?
  37. 37.Solve: 2p − 3 = 1. What is p?
  38. 38.Solve: x/3 + 17 = 29. What is x?
  39. 39.Dev is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  40. 40.Solve: 4m − 5 = 23. What is m?

Answer key

  1. 11
  2. 40
  3. 2
  4. 8
  5. 4
  6. 1
  7. 10
  8. 90
  9. 1
  10. 14
  11. 3
  12. 15
  13. 14
  14. 36
  15. 13
  16. 10
  17. 3
  18. 55
  19. 8
  20. 6
  21. 10
  22. 8
  23. 2
  24. 4
  25. 5
  26. 14
  27. 49
  28. 11
  29. 9
  30. 6
  31. 12
  32. 1
  33. 12
  34. 10
  35. 13
  36. 39
  37. 2
  38. 36
  39. 8
  40. 7

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