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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 681 · 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 4x + 8 = 60, what is x? (a) 52 (b) 17 (c) 13 (d) 14
  2. 2.If 7x + 8 = 4x + 44, what is x? (a) 14 (b) 13 (c) 11 (d) 12
  3. 3.If x/3 + 6 = 14, what is x? (a) 8 (b) 60 (c) 24 (d) 36
  4. 4.If 8x + 26 = 66, what is x? (a) 4 (b) 5 (c) 40 (d) 6
  5. 5.If 6x + 5 = 77, what is x? (a) 13 (b) 11 (c) 72 (d) 12
  6. 6.If 3x + 20 = 38, what is x? (a) 18 (b) 6 (c) 5 (d) 7
  7. 7.If x/2 + 6 = 8, what is x? (a) 10 (b) 4 (c) 28 (d) 2
  8. 8.If 9x + 9 = 6x + 15, what is x? (a) 3 (b) 4 (c) 8 (d) 2
  9. 9.If 8x + 9 = 6x + 33, what is x? (a) 14 (b) 21 (c) 12 (d) 13
  10. 10.If x/2 + 14 = 16, what is x? (a) 2 (b) 60 (c) 18 (d) 4
  11. 11.If 7x − 54 = 51, what is x? (a) 16 (b) 14 (c) 105 (d) 15
  12. 12.If 3x + 22 = 28, what is x? (a) 3 (b) 1 (c) 2 (d) 6
  13. 13.If 5x − 7 = 13, what is x? (a) 5 (b) 3 (c) 20 (d) 4
  14. 14.If 3x − 3 = 12, what is x? (a) 6 (b) 15 (c) 3 (d) 5
  15. 15.If 2x + 4 = 24, what is x? (a) 20 (b) 10 (c) 14 (d) 11
  16. 16.If 8x + 4 = 2x + 46, what is x? (a) 9 (b) 8 (c) 7 (d) 6
  17. 17.If 7x + 2 = 3x + 42, what is x? (a) 10 (b) 4 (c) 11 (d) 12
  18. 18.If 9x + 27 = 135, what is x? (a) 108 (b) 12 (c) 18 (d) 13
  19. 19.If 2x + 22 = 34, what is x? (a) 7 (b) 12 (c) 6 (d) 28
  20. 20.If x/2 + 9 = 13, what is x? (a) 4 (b) 44 (c) 17 (d) 8
  21. 21.If 6x − 6 = 60, what is x? (a) 9 (b) 12 (c) 11 (d) 66
  22. 22.If 3x + 20 = x + 36, what is x? (a) 4 (b) 8 (c) 9 (d) 28
  23. 23.If x/5 + 10 = 15, what is x? (a) 5 (b) 25 (c) 65 (d) 125
  24. 24.If 9x + 14 = 149, what is x? (a) 16 (b) 14 (c) 135 (d) 15
  25. 25.If x/3 + 9 = 21, what is x? (a) 36 (b) 54 (c) 12 (d) 90
  26. 26.If 5x + 21 = 46, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  27. 27.If 3x − 26 = 4, what is x? (a) 10 (b) 9 (c) 11 (d) 30
  28. 28.If 4x + 17 = x + 50, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  29. 29.If 5x − 10 = 30, what is x? (a) 4 (b) 8 (c) 40 (d) 9
  30. 30.If 3x + 12 = x + 30, what is x? (a) 10 (b) 11 (c) 9 (d) 21
  31. 31.If x/2 + 2 = 10, what is x? (a) 18 (b) 16 (c) 24 (d) 8
  32. 32.If x/5 + 14 = 23, what is x? (a) 185 (b) 45 (c) 101 (d) 9
  33. 33.If 3x + 10 = 34, what is x? (a) 7 (b) 8 (c) 24 (d) 9
  34. 34.If 2x − 6 = 4, what is x? (a) 10 (b) 6 (c) 4 (d) 5
  35. 35.If 8x + 10 = 5x + 37, what is x? (a) 9 (b) 8 (c) 11 (d) 10
  36. 36.If x/5 + 12 = 20, what is x? (a) 160 (b) 8 (c) 88 (d) 40
  37. 37.If x/6 + 1 = 5, what is x? (a) 4 (b) 24 (c) 29 (d) 36
  38. 38.If 3x + 19 = 55, what is x? (a) 12 (b) 13 (c) 11 (d) 36
  39. 39.If x/3 + 15 = 26, what is x? (a) 11 (b) 123 (c) 33 (d) 63
  40. 40.If 6x + 8 = 3x + 14, what is x? (a) 2 (b) 1 (c) 4 (d) 3

Answer key

  1. 13
  2. 12
  3. 24
  4. 5
  5. 12
  6. 6
  7. 4
  8. 2
  9. 12
  10. 4
  11. 15
  12. 2
  13. 4
  14. 5
  15. 10
  16. 7
  17. 10
  18. 12
  19. 6
  20. 8
  21. 11
  22. 8
  23. 25
  24. 15
  25. 36
  26. 5
  27. 10
  28. 11
  29. 8
  30. 9
  31. 16
  32. 45
  33. 8
  34. 5
  35. 9
  36. 40
  37. 24
  38. 12
  39. 33
  40. 2

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