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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 578 · 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 5x − 6 = 4, what is x? (a) 2 (b) 10 (c) 3 (d) 1
  2. 2.If 2x + 3 = 31, what is x? (a) 28 (b) 14 (c) 15 (d) 17
  3. 3.If 9x + 5 = 6x + 8, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  4. 4.If 8x + 6 = 6x + 8, what is x? (a) 2 (b) 3 (c) 1 (d) 7
  5. 5.If 7x + 20 = 2x + 35, what is x? (a) 4 (b) 11 (c) 3 (d) 5
  6. 6.If x/4 + 9 = 16, what is x? (a) 55 (b) 7 (c) 28 (d) 100
  7. 7.If x/2 + 12 = 20, what is x? (a) 8 (b) 64 (c) 16 (d) 28
  8. 8.If 6x + 8 = 44, what is x? (a) 5 (b) 7 (c) 36 (d) 6
  9. 9.If 7x − 54 = 2, what is x? (a) 9 (b) 8 (c) 56 (d) 7
  10. 10.If x/3 + 5 = 7, what is x? (a) 2 (b) 36 (c) 16 (d) 6
  11. 11.If 2x − 5 = 9, what is x? (a) 7 (b) 2 (c) 8 (d) 14
  12. 12.If 6x + 27 = 39, what is x? (a) 12 (b) 2 (c) 3 (d) 11
  13. 13.If 7x − 8 = 34, what is x? (a) 5 (b) 42 (c) 6 (d) 7
  14. 14.If 3x − 5 = 1, what is x? (a) 6 (b) 2 (c) 3 (d) 1
  15. 15.If 5x + 25 = 35, what is x? (a) 12 (b) 10 (c) 3 (d) 2
  16. 16.If 2x + 16 = 24, what is x? (a) 8 (b) 4 (c) 20 (d) 5
  17. 17.If 8x + 5 = 85, what is x? (a) 9 (b) 80 (c) 11 (d) 10
  18. 18.If 5x − 12 = 13, what is x? (a) 4 (b) 6 (c) 5 (d) 25
  19. 19.If x/2 + 1 = 5, what is x? (a) 4 (b) 8 (c) 9 (d) 12
  20. 20.If x/2 + 15 = 27, what is x? (a) 12 (b) 39 (c) 24 (d) 84
  21. 21.If 8x − 41 = 7, what is x? (a) 6 (b) 5 (c) 7 (d) 48
  22. 22.If 6x + 15 = 3x + 45, what is x? (a) 12 (b) 10 (c) 20 (d) 11
  23. 23.If 8x + 11 = 5x + 32, what is x? (a) 8 (b) 7 (c) 6 (d) 9
  24. 24.If 2x + 8 = 30, what is x? (a) 11 (b) 19 (c) 22 (d) 12
  25. 25.If x/3 + 8 = 16, what is x? (a) 24 (b) 40 (c) 8 (d) 72
  26. 26.If 6x + 17 = 3x + 53, what is x? (a) 12 (b) 4 (c) 13 (d) 14
  27. 27.If x/4 + 12 = 17, what is x? (a) 20 (b) 56 (c) 116 (d) 5
  28. 28.If x/6 + 14 = 16, what is x? (a) 2 (b) 82 (c) 180 (d) 12
  29. 29.If 3x + 15 = 48, what is x? (a) 11 (b) 33 (c) 21 (d) 12
  30. 30.If 8x + 18 = x + 39, what is x? (a) 5 (b) 3 (c) 2 (d) 4
  31. 31.If 7x + 12 = 6x + 21, what is x? (a) 11 (b) 10 (c) 33 (d) 9
  32. 32.If 9x + 25 = 115, what is x? (a) 90 (b) 9 (c) 10 (d) 11
  33. 33.If 6x + 12 = 48, what is x? (a) 10 (b) 7 (c) 36 (d) 6
  34. 34.If 4x + 29 = 65, what is x? (a) 8 (b) 36 (c) 9 (d) 10
  35. 35.If x/6 + 8 = 17, what is x? (a) 9 (b) 54 (c) 94 (d) 150
  36. 36.If 9x + 7 = 4x + 27, what is x? (a) 6 (b) 3 (c) 4 (d) 5
  37. 37.If 4x + 19 = x + 46, what is x? (a) 8 (b) 11 (c) 9 (d) 10
  38. 38.If 6x + 14 = x + 39, what is x? (a) 6 (b) 7 (c) 4 (d) 5
  39. 39.If x/6 + 7 = 15, what is x? (a) 83 (b) 48 (c) 132 (d) 8
  40. 40.If 6x − 5 = 19, what is x? (a) 5 (b) 4 (c) 3 (d) 24

Answer key

  1. 2
  2. 14
  3. 1
  4. 1
  5. 3
  6. 28
  7. 16
  8. 6
  9. 8
  10. 6
  11. 7
  12. 2
  13. 6
  14. 2
  15. 2
  16. 4
  17. 10
  18. 5
  19. 8
  20. 24
  21. 6
  22. 10
  23. 7
  24. 11
  25. 24
  26. 12
  27. 20
  28. 12
  29. 11
  30. 3
  31. 9
  32. 10
  33. 6
  34. 9
  35. 54
  36. 4
  37. 9
  38. 5
  39. 48
  40. 4

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