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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 455 · 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 8x + 15 = 3x + 30, what is x? (a) 4 (b) 5 (c) 3 (d) 9
  2. 2.If x/2 + 5 = 15, what is x? (a) 40 (b) 20 (c) 10 (d) 25
  3. 3.If 9x − 50 = 4, what is x? (a) 54 (b) 5 (c) 7 (d) 6
  4. 4.If x/6 + 14 = 17, what is x? (a) 3 (b) 88 (c) 18 (d) 186
  5. 5.If 5x + 11 = 2x + 41, what is x? (a) 12 (b) 9 (c) 11 (d) 10
  6. 6.If 4x − 3 = 9, what is x? (a) 2 (b) 12 (c) 4 (d) 3
  7. 7.If 8x + 5 = 69, what is x? (a) 7 (b) 64 (c) 8 (d) 9
  8. 8.If x/4 + 9 = 17, what is x? (a) 59 (b) 8 (c) 104 (d) 32
  9. 9.If x/4 + 13 = 15, what is x? (a) 47 (b) 112 (c) 8 (d) 2
  10. 10.If 3x + 9 = 42, what is x? (a) 33 (b) 17 (c) 11 (d) 12
  11. 11.If 3x + 28 = 40, what is x? (a) 12 (b) 3 (c) 5 (d) 4
  12. 12.If 7x − 11 = 24, what is x? (a) 35 (b) 6 (c) 5 (d) 4
  13. 13.If 5x + 19 = 2x + 25, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  14. 14.If 3x + 29 = 65, what is x? (a) 11 (b) 13 (c) 12 (d) 36
  15. 15.If x/5 + 13 = 23, what is x? (a) 180 (b) 102 (c) 10 (d) 50
  16. 16.If 2x + 22 = 44, what is x? (a) 12 (b) 11 (c) 33 (d) 22
  17. 17.If 6x − 2 = 10, what is x? (a) 12 (b) 1 (c) 3 (d) 2
  18. 18.If 4x + 23 = 83, what is x? (a) 14 (b) 15 (c) 60 (d) 16
  19. 19.If x/2 + 5 = 7, what is x? (a) 24 (b) 2 (c) 4 (d) 9
  20. 20.If 9x + 28 = 136, what is x? (a) 11 (b) 13 (c) 12 (d) 108
  21. 21.If 4x + 6 = x + 9, what is x? (a) 3 (b) 5 (c) 1 (d) 2
  22. 22.If 8x + 3 = 7x + 15, what is x? (a) 14 (b) 13 (c) 18 (d) 12
  23. 23.If 7x + 5 = 2x + 65, what is x? (a) 14 (b) 11 (c) 13 (d) 12
  24. 24.If 2x − 4 = 2, what is x? (a) 6 (b) 2 (c) 4 (d) 3
  25. 25.If 7x − 48 = 22, what is x? (a) 10 (b) 70 (c) 9 (d) 11
  26. 26.If 4x − 2 = 18, what is x? (a) 4 (b) 5 (c) 20 (d) 6
  27. 27.If 5x + 25 = 55, what is x? (a) 6 (b) 7 (c) 30 (d) 16
  28. 28.If x/5 + 12 = 21, what is x? (a) 93 (b) 9 (c) 45 (d) 165
  29. 29.If 5x + 3 = 2x + 24, what is x? (a) 3 (b) 7 (c) 9 (d) 8
  30. 30.If 6x + 10 = 3x + 19, what is x? (a) 4 (b) 5 (c) 3 (d) 1
  31. 31.If 4x + 6 = 42, what is x? (a) 9 (b) 10 (c) 36 (d) 12
  32. 32.If x/6 + 12 = 14, what is x? (a) 156 (b) 2 (c) 12 (d) 72
  33. 33.If x/5 + 7 = 9, what is x? (a) 38 (b) 2 (c) 10 (d) 80
  34. 34.If 9x + 5 = 8x + 8, what is x? (a) 4 (b) 3 (c) 13 (d) 5
  35. 35.If 8x + 9 = x + 23, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  36. 36.If 5x + 16 = 31, what is x? (a) 4 (b) 15 (c) 2 (d) 3
  37. 37.If x/3 + 3 = 10, what is x? (a) 7 (b) 27 (c) 39 (d) 21
  38. 38.If 8x + 6 = 2x + 30, what is x? (a) 3 (b) 5 (c) 6 (d) 4
  39. 39.If 7x + 28 = 112, what is x? (a) 13 (b) 12 (c) 84 (d) 20
  40. 40.If x/2 + 14 = 25, what is x? (a) 78 (b) 11 (c) 22 (d) 36

Answer key

  1. 3
  2. 20
  3. 6
  4. 18
  5. 10
  6. 3
  7. 8
  8. 32
  9. 8
  10. 11
  11. 4
  12. 5
  13. 2
  14. 12
  15. 50
  16. 11
  17. 2
  18. 15
  19. 4
  20. 12
  21. 1
  22. 12
  23. 12
  24. 3
  25. 10
  26. 5
  27. 6
  28. 45
  29. 7
  30. 3
  31. 9
  32. 12
  33. 10
  34. 3
  35. 2
  36. 3
  37. 21
  38. 4
  39. 12
  40. 22

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