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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 23 · 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 + 24 = 141, what is x? (a) 13 (b) 12 (c) 117 (d) 14
  2. 2.If 6x + 3 = x + 28, what is x? (a) 7 (b) 4 (c) 6 (d) 5
  3. 3.If 6x + 5 = 77, what is x? (a) 72 (b) 13 (c) 11 (d) 12
  4. 4.If 5x + 16 = 3x + 36, what is x? (a) 10 (b) 26 (c) 12 (d) 11
  5. 5.If x/5 + 3 = 10, what is x? (a) 47 (b) 7 (c) 65 (d) 35
  6. 6.If 4x + 11 = 2x + 25, what is x? (a) 9 (b) 18 (c) 8 (d) 7
  7. 7.If 4x + 10 = 54, what is x? (a) 11 (b) 44 (c) 16 (d) 12
  8. 8.If 9x − 37 = 8, what is x? (a) 45 (b) 6 (c) 4 (d) 5
  9. 9.If x/3 + 2 = 13, what is x? (a) 11 (b) 33 (c) 37 (d) 45
  10. 10.If 7x − 8 = 6, what is x? (a) 3 (b) 14 (c) 2 (d) 1
  11. 11.If 2x − 9 = 5, what is x? (a) 7 (b) 14 (c) 8 (d) 6
  12. 12.If 5x + 19 = 69, what is x? (a) 11 (b) 50 (c) 9 (d) 10
  13. 13.If x/2 + 11 = 20, what is x? (a) 9 (b) 29 (c) 62 (d) 18
  14. 14.If x/2 + 12 = 18, what is x? (a) 6 (b) 12 (c) 24 (d) 60
  15. 15.If 3x + 20 = 2x + 24, what is x? (a) 4 (b) 44 (c) 5 (d) 6
  16. 16.If x/2 + 7 = 11, what is x? (a) 15 (b) 36 (c) 4 (d) 8
  17. 17.If 9x + 8 = 3x + 38, what is x? (a) 6 (b) 4 (c) 5 (d) 7
  18. 18.If x/6 + 3 = 5, what is x? (a) 48 (b) 27 (c) 2 (d) 12
  19. 19.If 5x − 1 = 9, what is x? (a) 10 (b) 1 (c) 3 (d) 2
  20. 20.If 2x + 28 = 32, what is x? (a) 4 (b) 30 (c) 3 (d) 2
  21. 21.If 3x + 5 = 44, what is x? (a) 39 (b) 12 (c) 13 (d) 14
  22. 22.If 4x + 22 = 34, what is x? (a) 4 (b) 3 (c) 14 (d) 12
  23. 23.If 9x + 2 = 3x + 50, what is x? (a) 9 (b) 8 (c) 10 (d) 4
  24. 24.If 8x − 5 = 19, what is x? (a) 2 (b) 4 (c) 24 (d) 3
  25. 25.If 2x − 13 = 1, what is x? (a) 6 (b) 8 (c) 14 (d) 7
  26. 26.If x/5 + 13 = 24, what is x? (a) 11 (b) 107 (c) 55 (d) 185
  27. 27.If x/5 + 6 = 16, what is x? (a) 50 (b) 10 (c) 110 (d) 74
  28. 28.If 8x + 16 = 3x + 31, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  29. 29.If 4x − 18 = 30, what is x? (a) 48 (b) 13 (c) 3 (d) 12
  30. 30.If 3x − 10 = 2, what is x? (a) 5 (b) 3 (c) 12 (d) 4
  31. 31.If 4x + 13 = x + 37, what is x? (a) 8 (b) 9 (c) 10 (d) 7
  32. 32.If 6x + 17 = x + 57, what is x? (a) 7 (b) 9 (c) 10 (d) 8
  33. 33.If x/3 + 4 = 10, what is x? (a) 6 (b) 26 (c) 18 (d) 42
  34. 34.If 2x + 30 = 36, what is x? (a) 33 (b) 6 (c) 3 (d) 4
  35. 35.If x/6 + 7 = 18, what is x? (a) 150 (b) 66 (c) 11 (d) 101
  36. 36.If 3x − 15 = 3, what is x? (a) 7 (b) 5 (c) 6 (d) 18
  37. 37.If x/2 + 13 = 17, what is x? (a) 21 (b) 8 (c) 4 (d) 60
  38. 38.If 3x + 13 = 2x + 17, what is x? (a) 30 (b) 6 (c) 5 (d) 4
  39. 39.If 8x + 26 = 106, what is x? (a) 9 (b) 11 (c) 80 (d) 10
  40. 40.If 6x + 5 = x + 60, what is x? (a) 11 (b) 13 (c) 10 (d) 12

Answer key

  1. 13
  2. 5
  3. 12
  4. 10
  5. 35
  6. 7
  7. 11
  8. 5
  9. 33
  10. 2
  11. 7
  12. 10
  13. 18
  14. 12
  15. 4
  16. 8
  17. 5
  18. 12
  19. 2
  20. 2
  21. 13
  22. 3
  23. 8
  24. 3
  25. 7
  26. 55
  27. 50
  28. 3
  29. 12
  30. 4
  31. 8
  32. 8
  33. 18
  34. 3
  35. 66
  36. 6
  37. 8
  38. 4
  39. 10
  40. 11

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