Linear Equations – Practice Set 1

  1. x + 7 = 15
  2. y – 9 = 11
  3. 4x = 28
  4. a + 3.5 = 8.5
  5. 5y = 20
  6. x – 4 = 9
  7. x / 3 = 9
  8. 2p + 5 = 17
  9. x / 7 = 6
  10. 3m – 2 = 10
  11. 3x + 5 = 20
  12. 7x – 9 = 19
  13. 2x + 7 = 25
  14. 9x – 4 = 23
  15. 5x + 8 = 3x + 22
  16. 4x – 7 = 3x + 2
  17. 8x + 6 = 5x + 15
  18. 7x – 12 = 3x + 16
  19. 6x + 4 = 10x – 8
  20. 3x / 2 = 9
  21. (x / 3) + 5 = 11
  22. (x / 4) – 3 = 7
  23. 2(x + 5) = 18
  24. 3(x – 4) = 9
  25. 5(x + 2) = 30
  26. 6(x – 3) = 24
  27. (2x + 3) / 5 = 7
  28. (3x – 4) / 2 = 5
  29. (x + 7) / 3 = 8
  30. (5x – 2) / 4 = 9
  31. 3(x + 4) = 2(x + 9)
  32. 5(x – 2) = 3(x + 6)
  33. 2(3x + 5) = 4(x + 7)
  34. 7(x – 2) – 3(x + 4) = 8
  35. 4(x + 1) + 2(x – 3) = 18
  36. 5x – 7 = 3x + 9
  37. 8x – 4 = 5x + 14
  38. 9(x – 3) = 3(2x + 6)
  39. 2(x + 3) + 3(x – 4) = 17
  40. (x / 2) + (x / 3) = 10
  41. (2x + 5) / 3 = (x + 11) / 2
  42. (x + 7) / 5 = (x – 3) / 3
  43. 3x – 4 = (2x + 8) / 2
  44. (4x – 5) / 6 = 3
  45. (3x + 2) / 5 = (x + 6) / 3
  46. (x – 2) / 4 + (x + 3) / 5 = 3
  47. (2x – 1) / 3 – (x + 5) / 6 = 2
  48. (x / 4) + (x / 5) = 9
  49. (3x / 7) – (2x / 5) = 4
  50. (5x + 9) / 4 = 12

B. Write the equations for the following statements and find their solutions:

  1. Five times a number gives 45.
  2. Seven less than twice a number is 13.
  3. The sum of a number and 12 is 30.
  4. One-fourth of a number is 5.
  5. Three-fifths of a number plus 4 gives 19.
  6. If 8 is subtracted from a number, the result is 20.
  7. Two-thirds of a number equals 10.
  8. The difference between 3x and 5 is 16.
  9. Four times a number decreased by 7 is 21.
  10. Half of a number added to 6 gives 15.
  11. A number increased by 8 is equal to 3 times itself minus 4.
  12. Twice a number added to 7 gives 31.
  13. Four more than half a number is 10.
  14. Three times a number decreased by 5 equals 19.
  15. When 12 is subtracted from twice a number, the result is 14.
  16. A number divided by 5 gives 9.
  17. If 8 is added to three-fourths of a number, the result is 20.
  18. The sum of one-third of a number and 10 is 16.
  19. Two times a number increased by 9 is 29.
  20. One-fifth of a number plus 7 equals 12.
  21. Five less than three times a number is 16.
  22. Four times a number is 6 more than twice the number.
  23. If 9 is added to half of a number, the result is 15.
  24. Three-fourths of a number decreased by 2 gives 7.
  25. When 10 is subtracted from 5 times a number, the result is 15.
  26. A number multiplied by 7 and decreased by 8 gives 20.
  27. The difference between 2x and 7 equals 15.
  28. A number divided by 3 gives a result 4 less than 8.
  29. One-third of a number increased by 11 gives 20.
  30. The sum of a number and its half equals 27.
  31. The sum of twice a number and 7 equals three times the number minus 5.
  32. Five more than four times a number is equal to twice the number plus 17.
  33. If 8 is added to three times a number, the result is the same as 5 added to four times the number.
  34. When a number is divided by 3 and then increased by 8, the result is 18.
  35. The sum of a number and its one-fourth is 45.
  36. Two-thirds of a number is 12 more than one-fourth of the same number.
  37. Four times a number decreased by 9 is 3 more than twice the number.
  38. When 7 is added to half a number, the result is 19.
  39. One-fifth of a number plus 6 equals one-third of the number minus 2.
  40. A number divided by 2 plus 9 gives the same result as when the number divided by 3 is increased by 11.
  41. The difference between twice a number and 5 equals one-third of the number plus 10.
  42. If 3 is subtracted from half a number, the result is 4 less than the number divided by 3.
  43. When a number is increased by 10 and the result is divided by 5, the answer is 8.
  44. A number decreased by 7 and divided by 2 equals 9.
  45. Three times a number plus 4 equals five times the number minus 8.
  46. The sum of a number and twice its half is 36.
  47. One-third of a number added to 10 gives 22. Find the number.
  48. When 15 is subtracted from four times a number, the result is twice the number plus 5.
  49. Twice a number minus 8 equals one-fourth of the number plus 16.
  50. If 7 is added to a number and the result is divided by 3, the quotient is 9.
  51. The perimeter of a rectangle is 60 units. Its length is 4 units more than 3 times its width. Find the width w.

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