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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 593 · 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 + 8 = x + 14, what is x? (a) 3 (b) 11 (c) 4 (d) 5
  2. 2.If 5x + 4 = 4x + 5, what is x? (a) 1 (b) 9 (c) 2 (d) 3
  3. 3.If 3x + 9 = 15, what is x? (a) 3 (b) 6 (c) 2 (d) 8
  4. 4.If 9x + 4 = 2x + 53, what is x? (a) 9 (b) 8 (c) 7 (d) 6
  5. 5.If x/4 + 4 = 7, what is x? (a) 24 (b) 44 (c) 12 (d) 3
  6. 6.If 7x + 14 = 4x + 29, what is x? (a) 7 (b) 6 (c) 5 (d) 4
  7. 7.If 5x − 12 = 33, what is x? (a) 45 (b) 10 (c) 9 (d) 8
  8. 8.If 5x + 10 = 50, what is x? (a) 8 (b) 9 (c) 40 (d) 12
  9. 9.If x/5 + 13 = 19, what is x? (a) 160 (b) 30 (c) 6 (d) 82
  10. 10.If 2x + 12 = 22, what is x? (a) 5 (b) 10 (c) 6 (d) 17
  11. 11.If 6x + 1 = x + 46, what is x? (a) 10 (b) 11 (c) 8 (d) 9
  12. 12.If 8x + 17 = x + 24, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  13. 13.If 2x − 19 = 1, what is x? (a) 11 (b) 20 (c) 9 (d) 10
  14. 14.If 9x + 3 = 6x + 36, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  15. 15.If 7x + 28 = 49, what is x? (a) 11 (b) 21 (c) 4 (d) 3
  16. 16.If x/3 + 3 = 8, what is x? (a) 5 (b) 15 (c) 21 (d) 33
  17. 17.If 7x + 25 = 60, what is x? (a) 4 (b) 6 (c) 5 (d) 35
  18. 18.If 8x + 4 = 124, what is x? (a) 14 (b) 16 (c) 15 (d) 120
  19. 19.If 7x + 12 = x + 36, what is x? (a) 4 (b) 3 (c) 5 (d) 8
  20. 20.If 9x − 2 = 61, what is x? (a) 6 (b) 8 (c) 63 (d) 7
  21. 21.If 6x + 4 = 34, what is x? (a) 6 (b) 30 (c) 5 (d) 4
  22. 22.If 6x + 18 = 4x + 38, what is x? (a) 10 (b) 2 (c) 11 (d) 28
  23. 23.If 2x − 27 = 1, what is x? (a) 13 (b) 28 (c) 15 (d) 14
  24. 24.If 5x + 7 = 3x + 19, what is x? (a) 7 (b) 8 (c) 13 (d) 6
  25. 25.If 7x + 1 = 2x + 46, what is x? (a) 10 (b) 5 (c) 9 (d) 11
  26. 26.If 9x − 94 = 32, what is x? (a) 126 (b) 13 (c) 14 (d) 15
  27. 27.If x/2 + 6 = 14, what is x? (a) 40 (b) 16 (c) 22 (d) 8
  28. 28.If 3x + 21 = 48, what is x? (a) 27 (b) 23 (c) 10 (d) 9
  29. 29.If x/4 + 13 = 17, what is x? (a) 55 (b) 4 (c) 16 (d) 120
  30. 30.If 4x + 10 = 3x + 13, what is x? (a) 23 (b) 4 (c) 3 (d) 5
  31. 31.If 3x + 24 = 42, what is x? (a) 7 (b) 18 (c) 6 (d) 22
  32. 32.If x/2 + 9 = 16, what is x? (a) 7 (b) 50 (c) 14 (d) 23
  33. 33.If 2x + 29 = 57, what is x? (a) 15 (b) 28 (c) 14 (d) 43
  34. 34.If 9x + 22 = 94, what is x? (a) 7 (b) 8 (c) 72 (d) 9
  35. 35.If 2x + 5 = 35, what is x? (a) 16 (b) 15 (c) 20 (d) 30
  36. 36.If 7x + 15 = 6x + 25, what is x? (a) 12 (b) 40 (c) 11 (d) 10
  37. 37.If 6x + 20 = 5x + 32, what is x? (a) 14 (b) 13 (c) 52 (d) 12
  38. 38.If x/4 + 10 = 17, what is x? (a) 7 (b) 58 (c) 28 (d) 108
  39. 39.If 3x − 9 = 3, what is x? (a) 3 (b) 4 (c) 12 (d) 5
  40. 40.If 4x − 6 = 10, what is x? (a) 16 (b) 1 (c) 4 (d) 5

Answer key

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

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