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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 233 · 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 x/4 + 10 = 16, what is x? (a) 6 (b) 104 (c) 24 (d) 54
  2. 2.If 4x + 6 = 2x + 20, what is x? (a) 13 (b) 8 (c) 9 (d) 7
  3. 3.If x/2 + 1 = 4, what is x? (a) 10 (b) 3 (c) 6 (d) 7
  4. 4.If 9x − 26 = 109, what is x? (a) 15 (b) 14 (c) 16 (d) 135
  5. 5.If 3x + 10 = 2x + 14, what is x? (a) 5 (b) 24 (c) 4 (d) 6
  6. 6.If x/2 + 8 = 10, what is x? (a) 4 (b) 12 (c) 2 (d) 36
  7. 7.If x/4 + 14 = 18, what is x? (a) 58 (b) 16 (c) 4 (d) 128
  8. 8.If 4x + 6 = 14, what is x? (a) 2 (b) 5 (c) 3 (d) 8
  9. 9.If 7x + 21 = 91, what is x? (a) 16 (b) 10 (c) 11 (d) 70
  10. 10.If 7x − 15 = 20, what is x? (a) 35 (b) 6 (c) 4 (d) 5
  11. 11.If 2x + 19 = 29, what is x? (a) 5 (b) 6 (c) 10 (d) 24
  12. 12.If 2x − 1 = 5, what is x? (a) 2 (b) 4 (c) 3 (d) 6
  13. 13.If 5x + 3 = 23, what is x? (a) 4 (b) 3 (c) 20 (d) 5
  14. 14.If x/3 + 3 = 13, what is x? (a) 10 (b) 48 (c) 36 (d) 30
  15. 15.If 8x + 20 = 2x + 50, what is x? (a) 5 (b) 6 (c) 7 (d) 3
  16. 16.If 4x + 7 = x + 10, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  17. 17.If 2x − 8 = 20, what is x? (a) 15 (b) 14 (c) 6 (d) 28
  18. 18.If 5x − 32 = 8, what is x? (a) 7 (b) 9 (c) 40 (d) 8
  19. 19.If 8x + 1 = 121, what is x? (a) 14 (b) 16 (c) 15 (d) 120
  20. 20.If 4x + 11 = 2x + 25, what is x? (a) 8 (b) 18 (c) 7 (d) 9
  21. 21.If x/3 + 13 = 15, what is x? (a) 6 (b) 32 (c) 2 (d) 84
  22. 22.If x/3 + 5 = 13, what is x? (a) 34 (b) 8 (c) 54 (d) 24
  23. 23.If 7x + 3 = 5x + 5, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  24. 24.If 8x − 15 = 17, what is x? (a) 3 (b) 32 (c) 5 (d) 4
  25. 25.If 3x + 13 = x + 35, what is x? (a) 24 (b) 12 (c) 13 (d) 11
  26. 26.If 3x + 7 = 25, what is x? (a) 5 (b) 7 (c) 6 (d) 18
  27. 27.If 4x + 12 = 52, what is x? (a) 16 (b) 11 (c) 40 (d) 10
  28. 28.If 8x + 19 = 67, what is x? (a) 5 (b) 48 (c) 7 (d) 6
  29. 29.If x/4 + 2 = 8, what is x? (a) 6 (b) 30 (c) 40 (d) 24
  30. 30.If 8x + 7 = 5x + 13, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  31. 31.If 3x − 4 = 14, what is x? (a) 6 (b) 5 (c) 7 (d) 18
  32. 32.If 8x + 12 = 36, what is x? (a) 4 (b) 24 (c) 3 (d) 6
  33. 33.If 6x − 35 = 19, what is x? (a) 54 (b) 9 (c) 8 (d) 10
  34. 34.If 2x + 6 = 10, what is x? (a) 4 (b) 8 (c) 3 (d) 2
  35. 35.If 8x − 23 = 25, what is x? (a) 5 (b) 7 (c) 6 (d) 48
  36. 36.If 4x + 24 = 48, what is x? (a) 18 (b) 24 (c) 6 (d) 7
  37. 37.If 8x + 28 = 148, what is x? (a) 16 (b) 120 (c) 15 (d) 22
  38. 38.If 8x + 1 = 65, what is x? (a) 7 (b) 8 (c) 64 (d) 9
  39. 39.If 9x − 76 = 41, what is x? (a) 13 (b) 14 (c) 12 (d) 117
  40. 40.If 4x − 18 = 10, what is x? (a) 6 (b) 8 (c) 7 (d) 28

Answer key

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

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