← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 662 · 40 questions
TalentJR

How to solve it (Balance): Bring the x terms to one side and the plain numbers to the other (change the sign when you move a term across). Divide both sides by the number in front of x (or multiply if x is divided). Check by putting your answer back into the equation.

NameDateTime takenScore ___ / 40
  1. 1.If 3x + 6 = 12, what is x? (a) 6 (b) 2 (c) 3 (d) 1
  2. 2.If 9x + 25 = 160, what is x? (a) 16 (b) 15 (c) 135 (d) 14
  3. 3.If 6x + 6 = 30, what is x? (a) 24 (b) 4 (c) 6 (d) 5
  4. 4.If 8x − 10 = 62, what is x? (a) 10 (b) 8 (c) 72 (d) 9
  5. 5.If 5x − 31 = 19, what is x? (a) 9 (b) 50 (c) 11 (d) 10
  6. 6.If 8x + 10 = 50, what is x? (a) 6 (b) 4 (c) 40 (d) 5
  7. 7.If 7x + 7 = 91, what is x? (a) 13 (b) 14 (c) 84 (d) 12
  8. 8.If x/3 + 4 = 7, what is x? (a) 17 (b) 33 (c) 9 (d) 3
  9. 9.If 8x − 46 = 74, what is x? (a) 16 (b) 15 (c) 14 (d) 120
  10. 10.If 6x + 19 = 4x + 21, what is x? (a) 3 (b) 2 (c) 1 (d) 20
  11. 11.If x/4 + 9 = 13, what is x? (a) 88 (b) 43 (c) 4 (d) 16
  12. 12.If 9x + 16 = 142, what is x? (a) 126 (b) 13 (c) 14 (d) 15
  13. 13.If 7x + 21 = 126, what is x? (a) 21 (b) 105 (c) 15 (d) 16
  14. 14.If x/5 + 5 = 16, what is x? (a) 105 (b) 11 (c) 55 (d) 75
  15. 15.If x/4 + 9 = 11, what is x? (a) 8 (b) 2 (c) 80 (d) 35
  16. 16.If 2x + 12 = 18, what is x? (a) 4 (b) 15 (c) 6 (d) 3
  17. 17.If 2x + 7 = 23, what is x? (a) 8 (b) 9 (c) 15 (d) 16
  18. 18.If 6x + 17 = 3x + 23, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  19. 19.If 6x − 17 = 1, what is x? (a) 18 (b) 3 (c) 2 (d) 4
  20. 20.If 8x − 9 = 15, what is x? (a) 24 (b) 3 (c) 2 (d) 4
  21. 21.If 8x + 9 = 105, what is x? (a) 13 (b) 11 (c) 96 (d) 12
  22. 22.If 2x + 8 = 26, what is x? (a) 9 (b) 17 (c) 10 (d) 18
  23. 23.If x/6 + 1 = 5, what is x? (a) 24 (b) 36 (c) 29 (d) 4
  24. 24.If 3x + 8 = 50, what is x? (a) 13 (b) 14 (c) 42 (d) 15
  25. 25.If 9x + 7 = 115, what is x? (a) 11 (b) 13 (c) 12 (d) 108
  26. 26.If 4x − 1 = 39, what is x? (a) 9 (b) 40 (c) 10 (d) 11
  27. 27.If 8x + 10 = 5x + 37, what is x? (a) 9 (b) 11 (c) 8 (d) 10
  28. 28.If 7x − 40 = 9, what is x? (a) 7 (b) 49 (c) 8 (d) 6
  29. 29.If 7x − 2 = 19, what is x? (a) 21 (b) 2 (c) 4 (d) 3
  30. 30.If x/3 + 15 = 26, what is x? (a) 33 (b) 63 (c) 123 (d) 11
  31. 31.If x/3 + 10 = 15, what is x? (a) 75 (b) 5 (c) 15 (d) 35
  32. 32.If 9x + 4 = 2x + 74, what is x? (a) 11 (b) 12 (c) 10 (d) 9
  33. 33.If x/2 + 15 = 19, what is x? (a) 68 (b) 23 (c) 8 (d) 4
  34. 34.If 4x + 8 = 64, what is x? (a) 15 (b) 18 (c) 14 (d) 56
  35. 35.If x/6 + 8 = 14, what is x? (a) 76 (b) 36 (c) 132 (d) 6
  36. 36.If 6x + 10 = 2x + 30, what is x? (a) 6 (b) 7 (c) 10 (d) 5
  37. 37.If 2x + 12 = 32, what is x? (a) 11 (b) 20 (c) 10 (d) 22
  38. 38.If 6x + 14 = 86, what is x? (a) 72 (b) 13 (c) 11 (d) 12
  39. 39.If 3x + 4 = 2x + 14, what is x? (a) 18 (b) 10 (c) 11 (d) 2
  40. 40.If 6x + 25 = 37, what is x? (a) 12 (b) 1 (c) 3 (d) 2

Answer key

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

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad