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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 456 · 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 + 3 = 2x + 5, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  2. 2.If 9x + 3 = 93, what is x? (a) 90 (b) 9 (c) 11 (d) 10
  3. 3.If 8x + 29 = 109, what is x? (a) 10 (b) 11 (c) 80 (d) 9
  4. 4.If x/2 + 7 = 14, what is x? (a) 21 (b) 7 (c) 14 (d) 42
  5. 5.If 9x + 6 = 42, what is x? (a) 4 (b) 5 (c) 36 (d) 3
  6. 6.If x/3 + 11 = 15, what is x? (a) 4 (b) 78 (c) 34 (d) 12
  7. 7.If x/3 + 14 = 24, what is x? (a) 58 (b) 114 (c) 30 (d) 10
  8. 8.If 6x + 14 = 5x + 18, what is x? (a) 4 (b) 32 (c) 6 (d) 5
  9. 9.If x/3 + 11 = 17, what is x? (a) 6 (b) 40 (c) 18 (d) 84
  10. 10.If 7x + 4 = 18, what is x? (a) 1 (b) 14 (c) 3 (d) 2
  11. 11.If 2x + 12 = 42, what is x? (a) 16 (b) 15 (c) 30 (d) 27
  12. 12.If x/2 + 4 = 10, what is x? (a) 6 (b) 12 (c) 28 (d) 16
  13. 13.If 3x + 17 = 26, what is x? (a) 9 (b) 3 (c) 2 (d) 4
  14. 14.If 8x − 21 = 3, what is x? (a) 2 (b) 3 (c) 24 (d) 4
  15. 15.If 5x − 27 = 48, what is x? (a) 75 (b) 15 (c) 14 (d) 16
  16. 16.If x/4 + 1 = 7, what is x? (a) 32 (b) 27 (c) 6 (d) 24
  17. 17.If 6x + 6 = 24, what is x? (a) 5 (b) 3 (c) 4 (d) 18
  18. 18.If 5x + 16 = 4x + 26, what is x? (a) 10 (b) 11 (c) 42 (d) 12
  19. 19.If 3x + 28 = 40, what is x? (a) 5 (b) 4 (c) 3 (d) 12
  20. 20.If 3x + 9 = 21, what is x? (a) 5 (b) 10 (c) 4 (d) 12
  21. 21.If x/2 + 1 = 4, what is x? (a) 10 (b) 3 (c) 7 (d) 6
  22. 22.If x/4 + 5 = 7, what is x? (a) 23 (b) 8 (c) 48 (d) 2
  23. 23.If x/4 + 9 = 14, what is x? (a) 92 (b) 5 (c) 47 (d) 20
  24. 24.If 5x + 5 = 3x + 9, what is x? (a) 4 (b) 3 (c) 2 (d) 7
  25. 25.If 4x + 12 = 68, what is x? (a) 14 (b) 15 (c) 56 (d) 20
  26. 26.If x/3 + 9 = 11, what is x? (a) 60 (b) 6 (c) 2 (d) 24
  27. 27.If 4x + 20 = 80, what is x? (a) 60 (b) 25 (c) 15 (d) 16
  28. 28.If 5x − 11 = 39, what is x? (a) 9 (b) 10 (c) 50 (d) 11
  29. 29.If x/6 + 13 = 20, what is x? (a) 198 (b) 42 (c) 107 (d) 7
  30. 30.If x/3 + 6 = 12, what is x? (a) 6 (b) 30 (c) 18 (d) 54
  31. 31.If 9x + 12 = 5x + 32, what is x? (a) 7 (b) 11 (c) 5 (d) 6
  32. 32.If 6x − 14 = 10, what is x? (a) 4 (b) 5 (c) 3 (d) 24
  33. 33.If x/6 + 8 = 17, what is x? (a) 150 (b) 94 (c) 54 (d) 9
  34. 34.If x/5 + 14 = 20, what is x? (a) 6 (b) 30 (c) 170 (d) 86
  35. 35.If 9x + 21 = 48, what is x? (a) 2 (b) 3 (c) 27 (d) 4
  36. 36.If 9x + 19 = 4x + 34, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  37. 37.If 4x + 15 = 63, what is x? (a) 48 (b) 11 (c) 13 (d) 12
  38. 38.If 8x + 12 = 6x + 32, what is x? (a) 10 (b) 12 (c) 11 (d) 22
  39. 39.If 8x + 19 = 67, what is x? (a) 48 (b) 7 (c) 6 (d) 5
  40. 40.If x/5 + 4 = 9, what is x? (a) 5 (b) 25 (c) 65 (d) 41

Answer key

  1. 1
  2. 10
  3. 10
  4. 14
  5. 4
  6. 12
  7. 30
  8. 4
  9. 18
  10. 2
  11. 15
  12. 12
  13. 3
  14. 3
  15. 15
  16. 24
  17. 3
  18. 10
  19. 4
  20. 4
  21. 6
  22. 8
  23. 20
  24. 2
  25. 14
  26. 6
  27. 15
  28. 10
  29. 42
  30. 18
  31. 5
  32. 4
  33. 54
  34. 30
  35. 3
  36. 3
  37. 12
  38. 10
  39. 6
  40. 25

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