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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 379 · 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 9x + 26 = 62, what is x? (a) 36 (b) 5 (c) 3 (d) 4
  2. 2.If 8x − 44 = 20, what is x? (a) 8 (b) 64 (c) 9 (d) 7
  3. 3.If 9x − 108 = 27, what is x? (a) 14 (b) 15 (c) 16 (d) 135
  4. 4.If 4x − 14 = 2, what is x? (a) 16 (b) 4 (c) 5 (d) 3
  5. 5.If 3x + 2 = 2x + 14, what is x? (a) 16 (b) 13 (c) 12 (d) 14
  6. 6.If x/5 + 1 = 5, what is x? (a) 4 (b) 20 (c) 24 (d) 30
  7. 7.If 8x + 4 = 3x + 9, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  8. 8.If x/2 + 4 = 10, what is x? (a) 6 (b) 28 (c) 16 (d) 12
  9. 9.If 6x − 10 = 50, what is x? (a) 60 (b) 9 (c) 10 (d) 11
  10. 10.If 8x + 12 = 3x + 47, what is x? (a) 8 (b) 6 (c) 7 (d) 9
  11. 11.If 2x + 14 = 20, what is x? (a) 6 (b) 3 (c) 17 (d) 4
  12. 12.If x/4 + 13 = 17, what is x? (a) 16 (b) 4 (c) 55 (d) 120
  13. 13.If 4x + 23 = 31, what is x? (a) 2 (b) 8 (c) 3 (d) 1
  14. 14.If 6x − 52 = 8, what is x? (a) 60 (b) 9 (c) 10 (d) 11
  15. 15.If x/4 + 10 = 17, what is x? (a) 28 (b) 58 (c) 7 (d) 108
  16. 16.If 8x + 16 = 96, what is x? (a) 80 (b) 10 (c) 14 (d) 11
  17. 17.If x/4 + 7 = 13, what is x? (a) 45 (b) 24 (c) 6 (d) 80
  18. 18.If 5x − 34 = 41, what is x? (a) 75 (b) 15 (c) 16 (d) 14
  19. 19.If 3x + 13 = 34, what is x? (a) 7 (b) 21 (c) 6 (d) 8
  20. 20.If x/3 + 2 = 11, what is x? (a) 31 (b) 27 (c) 39 (d) 9
  21. 21.If 5x − 12 = 3, what is x? (a) 4 (b) 15 (c) 2 (d) 3
  22. 22.If 3x + 5 = 2x + 17, what is x? (a) 14 (b) 22 (c) 12 (d) 13
  23. 23.If 9x − 74 = 25, what is x? (a) 99 (b) 12 (c) 11 (d) 10
  24. 24.If 6x + 28 = 118, what is x? (a) 15 (b) 90 (c) 14 (d) 16
  25. 25.If 7x − 11 = 3, what is x? (a) 14 (b) 1 (c) 2 (d) 3
  26. 26.If 5x + 9 = 19, what is x? (a) 3 (b) 10 (c) 1 (d) 2
  27. 27.If x/3 + 8 = 16, what is x? (a) 24 (b) 40 (c) 8 (d) 72
  28. 28.If 5x + 3 = 3x + 15, what is x? (a) 6 (b) 9 (c) 7 (d) 8
  29. 29.If x/2 + 7 = 12, what is x? (a) 10 (b) 38 (c) 17 (d) 5
  30. 30.If 2x − 2 = 16, what is x? (a) 18 (b) 10 (c) 9 (d) 7
  31. 31.If x/2 + 13 = 25, what is x? (a) 76 (b) 24 (c) 37 (d) 12
  32. 32.If 5x − 39 = 6, what is x? (a) 45 (b) 8 (c) 9 (d) 10
  33. 33.If 9x − 14 = 76, what is x? (a) 9 (b) 11 (c) 10 (d) 90
  34. 34.If 4x − 20 = 12, what is x? (a) 9 (b) 7 (c) 32 (d) 8
  35. 35.If 8x + 1 = 2x + 55, what is x? (a) 9 (b) 11 (c) 10 (d) 8
  36. 36.If 6x + 9 = 21, what is x? (a) 3 (b) 2 (c) 12 (d) 5
  37. 37.If x/4 + 1 = 4, what is x? (a) 20 (b) 15 (c) 12 (d) 3
  38. 38.If 4x + 12 = 56, what is x? (a) 12 (b) 44 (c) 17 (d) 11
  39. 39.If 5x + 14 = 44, what is x? (a) 7 (b) 6 (c) 30 (d) 5
  40. 40.If x/6 + 1 = 4, what is x? (a) 30 (b) 23 (c) 18 (d) 3

Answer key

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

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