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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 480 · 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 − 49 = 17, what is x? (a) 66 (b) 12 (c) 11 (d) 10
  2. 2.If 5x − 3 = 47, what is x? (a) 11 (b) 9 (c) 10 (d) 50
  3. 3.If 4x + 3 = x + 12, what is x? (a) 2 (b) 5 (c) 4 (d) 3
  4. 4.If 6x + 14 = x + 44, what is x? (a) 8 (b) 7 (c) 6 (d) 5
  5. 5.If 9x + 1 = 6x + 4, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  6. 6.If 2x − 8 = 12, what is x? (a) 2 (b) 10 (c) 11 (d) 20
  7. 7.If 9x + 2 = 29, what is x? (a) 3 (b) 2 (c) 27 (d) 4
  8. 8.If x/4 + 10 = 15, what is x? (a) 20 (b) 100 (c) 50 (d) 5
  9. 9.If 8x + 14 = 134, what is x? (a) 14 (b) 15 (c) 16 (d) 120
  10. 10.If 4x − 29 = 11, what is x? (a) 40 (b) 9 (c) 10 (d) 11
  11. 11.If 6x + 12 = 5x + 18, what is x? (a) 7 (b) 8 (c) 6 (d) 30
  12. 12.If 6x + 12 = x + 42, what is x? (a) 5 (b) 6 (c) 7 (d) 8
  13. 13.If x/2 + 3 = 10, what is x? (a) 26 (b) 17 (c) 7 (d) 14
  14. 14.If 7x − 8 = 27, what is x? (a) 6 (b) 5 (c) 35 (d) 4
  15. 15.If 4x + 5 = 25, what is x? (a) 5 (b) 20 (c) 4 (d) 6
  16. 16.If 6x + 14 = x + 24, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  17. 17.If 5x + 7 = 32, what is x? (a) 25 (b) 5 (c) 4 (d) 6
  18. 18.If 8x + 16 = 7x + 23, what is x? (a) 8 (b) 9 (c) 39 (d) 7
  19. 19.If 9x − 4 = 14, what is x? (a) 18 (b) 3 (c) 2 (d) 1
  20. 20.If 9x − 27 = 90, what is x? (a) 7 (b) 14 (c) 13 (d) 117
  21. 21.If 6x − 27 = 39, what is x? (a) 2 (b) 66 (c) 12 (d) 11
  22. 22.If 9x + 2 = 20, what is x? (a) 18 (b) 1 (c) 3 (d) 2
  23. 23.If 5x + 18 = x + 42, what is x? (a) 15 (b) 7 (c) 4 (d) 6
  24. 24.If 8x + 13 = 125, what is x? (a) 112 (b) 15 (c) 14 (d) 13
  25. 25.If x/3 + 3 = 6, what is x? (a) 3 (b) 15 (c) 9 (d) 27
  26. 26.If x/5 + 7 = 16, what is x? (a) 45 (b) 9 (c) 73 (d) 115
  27. 27.If 6x + 28 = 46, what is x? (a) 4 (b) 18 (c) 3 (d) 2
  28. 28.If x/4 + 1 = 10, what is x? (a) 36 (b) 44 (c) 39 (d) 9
  29. 29.If 3x − 2 = 25, what is x? (a) 8 (b) 9 (c) 27 (d) 10
  30. 30.If x/6 + 10 = 12, what is x? (a) 132 (b) 2 (c) 62 (d) 12
  31. 31.If 2x − 1 = 11, what is x? (a) 7 (b) 6 (c) 5 (d) 12
  32. 32.If 5x + 11 = 51, what is x? (a) 9 (b) 7 (c) 8 (d) 40
  33. 33.If 5x + 6 = 3x + 18, what is x? (a) 8 (b) 7 (c) 12 (d) 6
  34. 34.If 4x + 17 = 53, what is x? (a) 8 (b) 10 (c) 9 (d) 36
  35. 35.If 4x + 16 = 3x + 28, what is x? (a) 13 (b) 14 (c) 12 (d) 44
  36. 36.If 8x − 23 = 9, what is x? (a) 3 (b) 32 (c) 4 (d) 5
  37. 37.If 3x − 6 = 3, what is x? (a) 9 (b) 4 (c) 2 (d) 3
  38. 38.If 4x + 16 = 2x + 26, what is x? (a) 5 (b) 6 (c) 7 (d) 21
  39. 39.If 3x + 29 = 71, what is x? (a) 15 (b) 13 (c) 42 (d) 14
  40. 40.If 3x + 20 = x + 22, what is x? (a) 21 (b) 2 (c) 3 (d) 1

Answer key

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

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