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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 324 · 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 + 11 = 65, what is x? (a) 5 (b) 54 (c) 6 (d) 7
  2. 2.If 9x − 23 = 58, what is x? (a) 8 (b) 81 (c) 10 (d) 9
  3. 3.If 3x + 19 = 2x + 31, what is x? (a) 13 (b) 12 (c) 14 (d) 50
  4. 4.If x/2 + 1 = 5, what is x? (a) 8 (b) 9 (c) 12 (d) 4
  5. 5.If 8x + 3 = 5x + 6, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  6. 6.If 5x + 27 = 87, what is x? (a) 12 (b) 11 (c) 13 (d) 60
  7. 7.If 9x + 16 = 142, what is x? (a) 13 (b) 126 (c) 15 (d) 14
  8. 8.If 3x + 4 = 2x + 9, what is x? (a) 6 (b) 1 (c) 5 (d) 13
  9. 9.If 6x + 8 = 20, what is x? (a) 3 (b) 1 (c) 12 (d) 2
  10. 10.If 4x − 2 = 22, what is x? (a) 5 (b) 6 (c) 24 (d) 7
  11. 11.If 6x + 18 = x + 38, what is x? (a) 5 (b) 3 (c) 4 (d) 6
  12. 12.If 9x + 1 = 28, what is x? (a) 2 (b) 3 (c) 4 (d) 27
  13. 13.If 7x − 15 = 6, what is x? (a) 21 (b) 4 (c) 3 (d) 2
  14. 14.If 2x − 1 = 3, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  15. 15.If x/3 + 4 = 13, what is x? (a) 27 (b) 35 (c) 9 (d) 51
  16. 16.If x/3 + 15 = 23, what is x? (a) 54 (b) 114 (c) 8 (d) 24
  17. 17.If 8x − 12 = 108, what is x? (a) 12 (b) 15 (c) 16 (d) 120
  18. 18.If 8x + 8 = 104, what is x? (a) 12 (b) 96 (c) 14 (d) 13
  19. 19.If 4x − 1 = 27, what is x? (a) 6 (b) 8 (c) 28 (d) 7
  20. 20.If 2x − 4 = 8, what is x? (a) 12 (b) 6 (c) 2 (d) 7
  21. 21.If 4x + 19 = 2x + 27, what is x? (a) 5 (b) 23 (c) 4 (d) 6
  22. 22.If 6x + 2 = 20, what is x? (a) 2 (b) 18 (c) 4 (d) 3
  23. 23.If 2x − 4 = 2, what is x? (a) 4 (b) 2 (c) 3 (d) 6
  24. 24.If x/3 + 15 = 22, what is x? (a) 111 (b) 21 (c) 51 (d) 7
  25. 25.If 9x + 7 = 6x + 40, what is x? (a) 11 (b) 13 (c) 12 (d) 10
  26. 26.If 9x + 26 = 116, what is x? (a) 90 (b) 10 (c) 9 (d) 11
  27. 27.If 9x + 10 = 28, what is x? (a) 18 (b) 3 (c) 2 (d) 1
  28. 28.If 4x − 2 = 42, what is x? (a) 10 (b) 12 (c) 11 (d) 44
  29. 29.If 3x + 29 = 53, what is x? (a) 7 (b) 9 (c) 24 (d) 8
  30. 30.If 9x + 17 = 62, what is x? (a) 45 (b) 6 (c) 5 (d) 4
  31. 31.If 5x + 1 = 41, what is x? (a) 9 (b) 40 (c) 8 (d) 7
  32. 32.If 7x + 18 = 3x + 46, what is x? (a) 7 (b) 16 (c) 9 (d) 8
  33. 33.If x/4 + 2 = 13, what is x? (a) 50 (b) 60 (c) 44 (d) 11
  34. 34.If 5x + 17 = 47, what is x? (a) 30 (b) 7 (c) 5 (d) 6
  35. 35.If 9x + 19 = 145, what is x? (a) 13 (b) 14 (c) 15 (d) 126
  36. 36.If 3x + 16 = 2x + 26, what is x? (a) 42 (b) 10 (c) 2 (d) 11
  37. 37.If 3x − 16 = 8, what is x? (a) 8 (b) 7 (c) 9 (d) 24
  38. 38.If 8x + 3 = 115, what is x? (a) 15 (b) 14 (c) 112 (d) 13
  39. 39.If 7x + 21 = 42, what is x? (a) 9 (b) 3 (c) 21 (d) 4
  40. 40.If 2x + 8 = 20, what is x? (a) 7 (b) 14 (c) 6 (d) 12

Answer key

  1. 6
  2. 9
  3. 12
  4. 8
  5. 1
  6. 12
  7. 14
  8. 5
  9. 2
  10. 6
  11. 4
  12. 3
  13. 3
  14. 2
  15. 27
  16. 24
  17. 15
  18. 12
  19. 7
  20. 6
  21. 4
  22. 3
  23. 3
  24. 21
  25. 11
  26. 10
  27. 2
  28. 11
  29. 8
  30. 5
  31. 8
  32. 7
  33. 44
  34. 6
  35. 14
  36. 10
  37. 8
  38. 14
  39. 3
  40. 6

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