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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 371 · 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 2x + 17 = 27, what is x? (a) 6 (b) 22 (c) 5 (d) 10
  2. 2.If 4x + 5 = 3x + 9, what is x? (a) 14 (b) 6 (c) 4 (d) 5
  3. 3.If x/3 + 2 = 9, what is x? (a) 7 (b) 25 (c) 33 (d) 21
  4. 4.If x/2 + 3 = 6, what is x? (a) 9 (b) 3 (c) 18 (d) 6
  5. 5.If 3x + 9 = x + 29, what is x? (a) 11 (b) 19 (c) 5 (d) 10
  6. 6.If 6x − 31 = 41, what is x? (a) 12 (b) 11 (c) 72 (d) 13
  7. 7.If 4x − 5 = 3, what is x? (a) 2 (b) 3 (c) 8 (d) 1
  8. 8.If 7x + 14 = 77, what is x? (a) 10 (b) 13 (c) 9 (d) 63
  9. 9.If 8x − 9 = 7, what is x? (a) 16 (b) 3 (c) 1 (d) 2
  10. 10.If 2x − 1 = 5, what is x? (a) 4 (b) 6 (c) 2 (d) 3
  11. 11.If 3x + 9 = x + 21, what is x? (a) 15 (b) 6 (c) 7 (d) 3
  12. 12.If 9x − 18 = 18, what is x? (a) 5 (b) 4 (c) 36 (d) 3
  13. 13.If 3x + 27 = 57, what is x? (a) 28 (b) 11 (c) 30 (d) 10
  14. 14.If 4x + 8 = 32, what is x? (a) 6 (b) 7 (c) 24 (d) 10
  15. 15.If 5x + 14 = 69, what is x? (a) 55 (b) 12 (c) 10 (d) 11
  16. 16.If 2x − 2 = 10, what is x? (a) 4 (b) 12 (c) 7 (d) 6
  17. 17.If 4x + 4 = x + 16, what is x? (a) 6 (b) 3 (c) 4 (d) 5
  18. 18.If 2x + 9 = 35, what is x? (a) 13 (b) 26 (c) 22 (d) 14
  19. 19.If 6x + 27 = 117, what is x? (a) 24 (b) 90 (c) 16 (d) 15
  20. 20.If 4x − 38 = 6, what is x? (a) 12 (b) 44 (c) 11 (d) 10
  21. 21.If 6x + 7 = 61, what is x? (a) 10 (b) 9 (c) 54 (d) 8
  22. 22.If 3x − 5 = 4, what is x? (a) 4 (b) 9 (c) 3 (d) 2
  23. 23.If 2x − 12 = 10, what is x? (a) 11 (b) 12 (c) 10 (d) 22
  24. 24.If x/4 + 12 = 20, what is x? (a) 32 (b) 8 (c) 68 (d) 128
  25. 25.If 8x + 13 = 133, what is x? (a) 16 (b) 120 (c) 15 (d) 14
  26. 26.If x/4 + 3 = 11, what is x? (a) 41 (b) 56 (c) 8 (d) 32
  27. 27.If 2x − 7 = 1, what is x? (a) 4 (b) 3 (c) 8 (d) 5
  28. 28.If 7x + 3 = 4x + 18, what is x? (a) 6 (b) 5 (c) 7 (d) 4
  29. 29.If 9x − 42 = 93, what is x? (a) 135 (b) 14 (c) 16 (d) 15
  30. 30.If x/2 + 7 = 15, what is x? (a) 8 (b) 44 (c) 16 (d) 23
  31. 31.If 9x + 11 = 8x + 21, what is x? (a) 12 (b) 10 (c) 11 (d) 32
  32. 32.If 7x − 10 = 11, what is x? (a) 21 (b) 3 (c) 2 (d) 4
  33. 33.If 3x + 19 = x + 31, what is x? (a) 25 (b) 6 (c) 7 (d) 3
  34. 34.If 5x + 4 = 14, what is x? (a) 1 (b) 10 (c) 3 (d) 2
  35. 35.If 2x + 4 = 18, what is x? (a) 7 (b) 8 (c) 11 (d) 14
  36. 36.If 3x − 32 = 13, what is x? (a) 16 (b) 45 (c) 14 (d) 15
  37. 37.If 8x + 30 = 62, what is x? (a) 5 (b) 3 (c) 32 (d) 4
  38. 38.If 2x + 29 = 49, what is x? (a) 11 (b) 20 (c) 39 (d) 10
  39. 39.If 5x + 11 = 4x + 12, what is x? (a) 3 (b) 1 (c) 23 (d) 2
  40. 40.If 9x + 17 = 125, what is x? (a) 108 (b) 13 (c) 11 (d) 12

Answer key

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

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