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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 161 · 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 5x + 4 = 4x + 6, what is x? (a) 2 (b) 3 (c) 10 (d) 4
  2. 2.If 3x + 4 = 2x + 12, what is x? (a) 8 (b) 9 (c) 10 (d) 16
  3. 3.If 4x + 14 = 66, what is x? (a) 13 (b) 14 (c) 52 (d) 20
  4. 4.If 6x + 14 = 5x + 20, what is x? (a) 8 (b) 7 (c) 6 (d) 34
  5. 5.If 8x + 7 = 7x + 9, what is x? (a) 16 (b) 4 (c) 2 (d) 3
  6. 6.If x/4 + 8 = 11, what is x? (a) 3 (b) 36 (c) 76 (d) 12
  7. 7.If 8x + 26 = 74, what is x? (a) 6 (b) 7 (c) 48 (d) 5
  8. 8.If 6x − 21 = 3, what is x? (a) 5 (b) 3 (c) 24 (d) 4
  9. 9.If 5x − 9 = 36, what is x? (a) 8 (b) 9 (c) 45 (d) 10
  10. 10.If 2x + 14 = 44, what is x? (a) 16 (b) 29 (c) 15 (d) 30
  11. 11.If 2x + 19 = 25, what is x? (a) 3 (b) 6 (c) 4 (d) 22
  12. 12.If x/2 + 2 = 4, what is x? (a) 6 (b) 2 (c) 4 (d) 12
  13. 13.If x/3 + 7 = 11, what is x? (a) 26 (b) 4 (c) 54 (d) 12
  14. 14.If 4x + 10 = 62, what is x? (a) 18 (b) 52 (c) 14 (d) 13
  15. 15.If 3x + 18 = 33, what is x? (a) 15 (b) 17 (c) 5 (d) 6
  16. 16.If 2x + 20 = 24, what is x? (a) 2 (b) 4 (c) 22 (d) 3
  17. 17.If 4x + 16 = 24, what is x? (a) 10 (b) 8 (c) 3 (d) 2
  18. 18.If 6x − 4 = 32, what is x? (a) 36 (b) 6 (c) 7 (d) 5
  19. 19.If 4x + 8 = 3x + 9, what is x? (a) 2 (b) 3 (c) 1 (d) 17
  20. 20.If 4x + 9 = 3x + 11, what is x? (a) 4 (b) 2 (c) 20 (d) 3
  21. 21.If 3x + 13 = 2x + 24, what is x? (a) 11 (b) 13 (c) 37 (d) 12
  22. 22.If 9x + 3 = 3x + 57, what is x? (a) 11 (b) 10 (c) 8 (d) 9
  23. 23.If x/5 + 9 = 19, what is x? (a) 50 (b) 10 (c) 86 (d) 140
  24. 24.If 2x − 17 = 5, what is x? (a) 22 (b) 10 (c) 11 (d) 12
  25. 25.If 3x + 2 = 14, what is x? (a) 3 (b) 4 (c) 5 (d) 12
  26. 26.If 8x + 13 = 125, what is x? (a) 15 (b) 14 (c) 112 (d) 13
  27. 27.If 9x − 43 = 20, what is x? (a) 8 (b) 6 (c) 7 (d) 63
  28. 28.If 5x + 25 = 45, what is x? (a) 5 (b) 20 (c) 4 (d) 14
  29. 29.If 3x − 2 = 7, what is x? (a) 2 (b) 4 (c) 9 (d) 3
  30. 30.If 9x + 21 = 111, what is x? (a) 11 (b) 9 (c) 90 (d) 10
  31. 31.If 3x + 2 = 2x + 4, what is x? (a) 4 (b) 6 (c) 3 (d) 2
  32. 32.If x/6 + 2 = 4, what is x? (a) 12 (b) 22 (c) 2 (d) 36
  33. 33.If 8x + 6 = 30, what is x? (a) 2 (b) 4 (c) 3 (d) 24
  34. 34.If 4x + 5 = 3x + 9, what is x? (a) 14 (b) 6 (c) 5 (d) 4
  35. 35.If 5x + 2 = 27, what is x? (a) 5 (b) 6 (c) 25 (d) 4
  36. 36.If x/3 + 8 = 12, what is x? (a) 60 (b) 28 (c) 12 (d) 4
  37. 37.If 2x + 27 = 35, what is x? (a) 31 (b) 5 (c) 8 (d) 4
  38. 38.If 5x + 11 = 31, what is x? (a) 4 (b) 20 (c) 5 (d) 3
  39. 39.If 3x + 18 = 30, what is x? (a) 4 (b) 16 (c) 12 (d) 5
  40. 40.If 8x + 30 = 150, what is x? (a) 14 (b) 15 (c) 16 (d) 120

Answer key

  1. 2
  2. 8
  3. 13
  4. 6
  5. 2
  6. 12
  7. 6
  8. 4
  9. 9
  10. 15
  11. 3
  12. 4
  13. 12
  14. 13
  15. 5
  16. 2
  17. 2
  18. 6
  19. 1
  20. 2
  21. 11
  22. 9
  23. 50
  24. 11
  25. 4
  26. 14
  27. 7
  28. 4
  29. 3
  30. 10
  31. 2
  32. 12
  33. 3
  34. 4
  35. 5
  36. 12
  37. 4
  38. 4
  39. 4
  40. 15

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