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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 746 · 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 6x + 4 = 4x + 16, what is x? (a) 10 (b) 8 (c) 6 (d) 7
  2. 2.If 3x + 18 = 33, what is x? (a) 6 (b) 15 (c) 5 (d) 17
  3. 3.If 9x + 17 = 3x + 23, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  4. 4.If 2x + 3 = 33, what is x? (a) 15 (b) 16 (c) 18 (d) 30
  5. 5.If x/3 + 6 = 12, what is x? (a) 18 (b) 54 (c) 6 (d) 30
  6. 6.If 7x + 7 = 56, what is x? (a) 7 (b) 49 (c) 9 (d) 8
  7. 7.If x/5 + 5 = 14, what is x? (a) 9 (b) 95 (c) 65 (d) 45
  8. 8.If 3x − 10 = 20, what is x? (a) 30 (b) 9 (c) 10 (d) 11
  9. 9.If 2x − 3 = 1, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  10. 10.If x/2 + 2 = 9, what is x? (a) 16 (b) 7 (c) 22 (d) 14
  11. 11.If 5x − 29 = 36, what is x? (a) 14 (b) 12 (c) 65 (d) 13
  12. 12.If x/3 + 13 = 19, what is x? (a) 6 (b) 44 (c) 96 (d) 18
  13. 13.If 5x + 7 = 4x + 19, what is x? (a) 14 (b) 12 (c) 13 (d) 26
  14. 14.If 8x − 66 = 22, what is x? (a) 88 (b) 10 (c) 11 (d) 12
  15. 15.If x/3 + 1 = 4, what is x? (a) 3 (b) 11 (c) 9 (d) 15
  16. 16.If 7x + 3 = 6x + 7, what is x? (a) 4 (b) 10 (c) 6 (d) 5
  17. 17.If 8x + 10 = 82, what is x? (a) 10 (b) 8 (c) 9 (d) 72
  18. 18.If x/4 + 2 = 7, what is x? (a) 26 (b) 36 (c) 5 (d) 20
  19. 19.If x/2 + 9 = 13, what is x? (a) 44 (b) 17 (c) 8 (d) 4
  20. 20.If 2x − 14 = 4, what is x? (a) 8 (b) 9 (c) 18 (d) 10
  21. 21.If 4x + 24 = 36, what is x? (a) 12 (b) 15 (c) 4 (d) 3
  22. 22.If 5x + 5 = x + 37, what is x? (a) 10 (b) 7 (c) 9 (d) 8
  23. 23.If x/6 + 10 = 14, what is x? (a) 74 (b) 144 (c) 4 (d) 24
  24. 24.If 4x + 1 = x + 37, what is x? (a) 11 (b) 14 (c) 13 (d) 12
  25. 25.If 4x + 3 = 55, what is x? (a) 52 (b) 12 (c) 14 (d) 13
  26. 26.If 4x + 6 = 18, what is x? (a) 4 (b) 12 (c) 6 (d) 3
  27. 27.If x/6 + 11 = 20, what is x? (a) 109 (b) 9 (c) 186 (d) 54
  28. 28.If 7x + 5 = 54, what is x? (a) 6 (b) 7 (c) 49 (d) 8
  29. 29.If x/5 + 14 = 21, what is x? (a) 7 (b) 175 (c) 35 (d) 91
  30. 30.If 3x − 1 = 41, what is x? (a) 42 (b) 15 (c) 14 (d) 13
  31. 31.If 5x + 18 = 4x + 20, what is x? (a) 3 (b) 2 (c) 38 (d) 4
  32. 32.If 8x − 16 = 8, what is x? (a) 3 (b) 4 (c) 24 (d) 2
  33. 33.If 9x + 12 = 57, what is x? (a) 45 (b) 5 (c) 4 (d) 6
  34. 34.If 3x + 25 = 55, what is x? (a) 11 (b) 30 (c) 9 (d) 10
  35. 35.If 5x + 3 = 3x + 9, what is x? (a) 6 (b) 5 (c) 3 (d) 4
  36. 36.If 3x + 16 = 40, what is x? (a) 9 (b) 8 (c) 24 (d) 7
  37. 37.If 7x + 8 = 5x + 32, what is x? (a) 20 (b) 2 (c) 12 (d) 13
  38. 38.If 2x + 27 = 55, what is x? (a) 28 (b) 15 (c) 14 (d) 41
  39. 39.If 4x − 3 = 41, what is x? (a) 44 (b) 10 (c) 12 (d) 11
  40. 40.If x/5 + 5 = 9, what is x? (a) 4 (b) 70 (c) 40 (d) 20

Answer key

  1. 6
  2. 5
  3. 1
  4. 15
  5. 18
  6. 7
  7. 45
  8. 10
  9. 2
  10. 14
  11. 13
  12. 18
  13. 12
  14. 11
  15. 9
  16. 4
  17. 9
  18. 20
  19. 8
  20. 9
  21. 3
  22. 8
  23. 24
  24. 12
  25. 13
  26. 3
  27. 54
  28. 7
  29. 35
  30. 14
  31. 2
  32. 3
  33. 5
  34. 10
  35. 3
  36. 8
  37. 12
  38. 14
  39. 11
  40. 20

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