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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 792 · 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 6x + 6 = 3x + 30, what is x? (a) 12 (b) 9 (c) 8 (d) 10
  2. 2.If 5x + 5 = x + 17, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  3. 3.If x/4 + 3 = 5, what is x? (a) 8 (b) 17 (c) 2 (d) 32
  4. 4.If x/3 + 7 = 18, what is x? (a) 11 (b) 75 (c) 47 (d) 33
  5. 5.If 8x − 82 = 30, what is x? (a) 15 (b) 14 (c) 112 (d) 13
  6. 6.If 5x + 6 = 2x + 15, what is x? (a) 4 (b) 7 (c) 3 (d) 5
  7. 7.If 9x + 17 = 8x + 18, what is x? (a) 3 (b) 1 (c) 35 (d) 2
  8. 8.If 8x + 1 = 3x + 16, what is x? (a) 3 (b) 5 (c) 4 (d) 2
  9. 9.If x/5 + 3 = 13, what is x? (a) 62 (b) 50 (c) 80 (d) 10
  10. 10.If 2x + 9 = 37, what is x? (a) 28 (b) 14 (c) 15 (d) 23
  11. 11.If 3x + 1 = 2x + 6, what is x? (a) 6 (b) 7 (c) 5 (d) 1
  12. 12.If 2x + 10 = 18, what is x? (a) 5 (b) 14 (c) 4 (d) 8
  13. 13.If 4x − 3 = 13, what is x? (a) 5 (b) 3 (c) 16 (d) 4
  14. 14.If 4x + 6 = x + 36, what is x? (a) 10 (b) 11 (c) 14 (d) 6
  15. 15.If 4x − 17 = 7, what is x? (a) 5 (b) 24 (c) 6 (d) 7
  16. 16.If x/5 + 10 = 20, what is x? (a) 50 (b) 150 (c) 90 (d) 10
  17. 17.If x/2 + 15 = 17, what is x? (a) 19 (b) 4 (c) 2 (d) 64
  18. 18.If 7x + 11 = 5x + 17, what is x? (a) 14 (b) 4 (c) 3 (d) 5
  19. 19.If 2x + 20 = 50, what is x? (a) 35 (b) 16 (c) 30 (d) 15
  20. 20.If x/6 + 1 = 5, what is x? (a) 36 (b) 29 (c) 4 (d) 24
  21. 21.If 2x + 26 = 34, what is x? (a) 8 (b) 5 (c) 4 (d) 30
  22. 22.If 8x + 26 = 42, what is x? (a) 3 (b) 16 (c) 2 (d) 1
  23. 23.If 2x + 1 = 25, what is x? (a) 13 (b) 24 (c) 11 (d) 12
  24. 24.If 7x + 18 = 109, what is x? (a) 91 (b) 12 (c) 13 (d) 14
  25. 25.If 9x + 21 = 39, what is x? (a) 2 (b) 18 (c) 1 (d) 3
  26. 26.If 7x − 38 = 4, what is x? (a) 7 (b) 42 (c) 6 (d) 5
  27. 27.If 5x + 16 = 2x + 28, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  28. 28.If x/4 + 6 = 11, what is x? (a) 5 (b) 20 (c) 38 (d) 68
  29. 29.If x/4 + 12 = 23, what is x? (a) 140 (b) 11 (c) 80 (d) 44
  30. 30.If 6x − 1 = 11, what is x? (a) 3 (b) 12 (c) 1 (d) 2
  31. 31.If 5x + 4 = 4x + 15, what is x? (a) 13 (b) 12 (c) 19 (d) 11
  32. 32.If 4x + 2 = x + 26, what is x? (a) 10 (b) 9 (c) 7 (d) 8
  33. 33.If 9x − 17 = 19, what is x? (a) 5 (b) 4 (c) 3 (d) 36
  34. 34.If 2x + 16 = 30, what is x? (a) 8 (b) 23 (c) 14 (d) 7
  35. 35.If 8x − 22 = 18, what is x? (a) 40 (b) 4 (c) 5 (d) 6
  36. 36.If 2x − 2 = 6, what is x? (a) 8 (b) 2 (c) 5 (d) 4
  37. 37.If x/3 + 6 = 9, what is x? (a) 21 (b) 3 (c) 9 (d) 45
  38. 38.If x/5 + 8 = 20, what is x? (a) 140 (b) 60 (c) 92 (d) 12
  39. 39.If x/5 + 9 = 14, what is x? (a) 115 (b) 5 (c) 25 (d) 61
  40. 40.If 6x − 3 = 57, what is x? (a) 60 (b) 10 (c) 9 (d) 11

Answer key

  1. 8
  2. 3
  3. 8
  4. 33
  5. 14
  6. 3
  7. 1
  8. 3
  9. 50
  10. 14
  11. 5
  12. 4
  13. 4
  14. 10
  15. 6
  16. 50
  17. 4
  18. 3
  19. 15
  20. 24
  21. 4
  22. 2
  23. 12
  24. 13
  25. 2
  26. 6
  27. 4
  28. 20
  29. 44
  30. 2
  31. 11
  32. 8
  33. 4
  34. 7
  35. 5
  36. 4
  37. 9
  38. 60
  39. 25
  40. 10

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