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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 16 · 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 4x − 20 = 16, what is x? (a) 10 (b) 8 (c) 9 (d) 36
  2. 2.If x/6 + 12 = 21, what is x? (a) 114 (b) 54 (c) 9 (d) 198
  3. 3.If 7x + 16 = 30, what is x? (a) 2 (b) 3 (c) 14 (d) 1
  4. 4.If 8x + 6 = 3x + 31, what is x? (a) 6 (b) 4 (c) 7 (d) 5
  5. 5.If 4x + 14 = 2x + 16, what is x? (a) 3 (b) 15 (c) 2 (d) 1
  6. 6.If 3x + 11 = 50, what is x? (a) 13 (b) 14 (c) 12 (d) 39
  7. 7.If 4x + 11 = 3x + 18, what is x? (a) 29 (b) 1 (c) 8 (d) 7
  8. 8.If 2x − 7 = 23, what is x? (a) 30 (b) 8 (c) 16 (d) 15
  9. 9.If 9x + 23 = 68, what is x? (a) 4 (b) 5 (c) 6 (d) 45
  10. 10.If 9x + 16 = x + 112, what is x? (a) 14 (b) 16 (c) 13 (d) 12
  11. 11.If 5x + 10 = 30, what is x? (a) 8 (b) 4 (c) 20 (d) 5
  12. 12.If 9x + 8 = 3x + 80, what is x? (a) 14 (b) 6 (c) 12 (d) 13
  13. 13.If x/2 + 6 = 16, what is x? (a) 20 (b) 26 (c) 10 (d) 44
  14. 14.If 3x + 15 = x + 19, what is x? (a) 2 (b) 1 (c) 17 (d) 3
  15. 15.If 5x − 15 = 10, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  16. 16.If 7x − 22 = 34, what is x? (a) 8 (b) 56 (c) 7 (d) 9
  17. 17.If 9x − 34 = 20, what is x? (a) 5 (b) 54 (c) 7 (d) 6
  18. 18.If 5x − 5 = 20, what is x? (a) 3 (b) 5 (c) 6 (d) 25
  19. 19.If 7x + 11 = 2x + 16, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  20. 20.If 3x + 10 = 2x + 13, what is x? (a) 4 (b) 3 (c) 23 (d) 5
  21. 21.If 4x + 1 = 33, what is x? (a) 7 (b) 9 (c) 32 (d) 8
  22. 22.If 4x + 10 = 2x + 18, what is x? (a) 4 (b) 6 (c) 14 (d) 5
  23. 23.If 7x + 8 = 5x + 22, what is x? (a) 15 (b) 7 (c) 8 (d) 9
  24. 24.If 8x + 12 = x + 26, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  25. 25.If 6x + 9 = 4x + 23, what is x? (a) 7 (b) 16 (c) 9 (d) 8
  26. 26.If x/5 + 4 = 6, what is x? (a) 2 (b) 10 (c) 26 (d) 50
  27. 27.If x/3 + 3 = 10, what is x? (a) 21 (b) 7 (c) 27 (d) 39
  28. 28.If x/4 + 14 = 16, what is x? (a) 120 (b) 2 (c) 8 (d) 50
  29. 29.If 3x + 18 = x + 36, what is x? (a) 9 (b) 11 (c) 27 (d) 10
  30. 30.If x/5 + 3 = 9, what is x? (a) 42 (b) 6 (c) 30 (d) 60
  31. 31.If 2x − 4 = 12, what is x? (a) 16 (b) 9 (c) 4 (d) 8
  32. 32.If 4x + 26 = 34, what is x? (a) 3 (b) 15 (c) 2 (d) 8
  33. 33.If 4x + 24 = 80, what is x? (a) 26 (b) 14 (c) 56 (d) 15
  34. 34.If 9x + 16 = 3x + 34, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  35. 35.If 9x + 20 = 128, what is x? (a) 12 (b) 13 (c) 108 (d) 11
  36. 36.If x/5 + 9 = 21, what is x? (a) 12 (b) 150 (c) 96 (d) 60
  37. 37.If 5x + 5 = 4x + 6, what is x? (a) 2 (b) 3 (c) 1 (d) 11
  38. 38.If 4x − 6 = 10, what is x? (a) 1 (b) 5 (c) 4 (d) 16
  39. 39.If 5x + 14 = 4x + 24, what is x? (a) 38 (b) 10 (c) 12 (d) 11
  40. 40.If x/2 + 8 = 17, what is x? (a) 9 (b) 26 (c) 18 (d) 50

Answer key

  1. 9
  2. 54
  3. 2
  4. 5
  5. 1
  6. 13
  7. 7
  8. 15
  9. 5
  10. 12
  11. 4
  12. 12
  13. 20
  14. 2
  15. 5
  16. 8
  17. 6
  18. 5
  19. 1
  20. 3
  21. 8
  22. 4
  23. 7
  24. 2
  25. 7
  26. 10
  27. 21
  28. 8
  29. 9
  30. 30
  31. 8
  32. 2
  33. 14
  34. 3
  35. 12
  36. 60
  37. 1
  38. 4
  39. 10
  40. 18

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