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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 322 · 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 7x − 17 = 11, what is x? (a) 28 (b) 5 (c) 4 (d) 3
  2. 2.If 4x + 16 = 2x + 34, what is x? (a) 25 (b) 9 (c) 10 (d) 3
  3. 3.If 8x + 13 = 29, what is x? (a) 1 (b) 2 (c) 3 (d) 16
  4. 4.If 9x + 5 = 5x + 49, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  5. 5.If x/3 + 2 = 13, what is x? (a) 37 (b) 11 (c) 33 (d) 45
  6. 6.If x/5 + 6 = 11, what is x? (a) 49 (b) 25 (c) 85 (d) 5
  7. 7.If 2x − 1 = 29, what is x? (a) 14 (b) 16 (c) 30 (d) 15
  8. 8.If 3x + 26 = 35, what is x? (a) 4 (b) 9 (c) 3 (d) 2
  9. 9.If x/3 + 13 = 20, what is x? (a) 47 (b) 21 (c) 7 (d) 99
  10. 10.If 2x − 3 = 1, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  11. 11.If 7x − 14 = 7, what is x? (a) 21 (b) 4 (c) 2 (d) 3
  12. 12.If 6x + 8 = 5x + 18, what is x? (a) 11 (b) 12 (c) 26 (d) 10
  13. 13.If x/5 + 2 = 10, what is x? (a) 48 (b) 40 (c) 60 (d) 8
  14. 14.If 6x + 15 = 45, what is x? (a) 10 (b) 5 (c) 30 (d) 6
  15. 15.If 9x − 6 = 21, what is x? (a) 27 (b) 3 (c) 2 (d) 4
  16. 16.If x/6 + 1 = 10, what is x? (a) 54 (b) 59 (c) 66 (d) 9
  17. 17.If 6x + 17 = 2x + 57, what is x? (a) 5 (b) 12 (c) 10 (d) 11
  18. 18.If x/6 + 10 = 18, what is x? (a) 8 (b) 168 (c) 98 (d) 48
  19. 19.If 8x + 16 = x + 93, what is x? (a) 12 (b) 11 (c) 10 (d) 13
  20. 20.If 8x − 69 = 27, what is x? (a) 96 (b) 11 (c) 12 (d) 13
  21. 21.If x/6 + 13 = 19, what is x? (a) 6 (b) 36 (c) 101 (d) 192
  22. 22.If 3x − 25 = 17, what is x? (a) 42 (b) 14 (c) 13 (d) 15
  23. 23.If 8x + 8 = 7x + 13, what is x? (a) 7 (b) 5 (c) 6 (d) 21
  24. 24.If 9x − 19 = 8, what is x? (a) 27 (b) 3 (c) 2 (d) 4
  25. 25.If 3x + 17 = 2x + 20, what is x? (a) 3 (b) 4 (c) 5 (d) 37
  26. 26.If x/5 + 8 = 18, what is x? (a) 10 (b) 130 (c) 82 (d) 50
  27. 27.If 9x − 16 = 2, what is x? (a) 2 (b) 3 (c) 18 (d) 1
  28. 28.If x/5 + 13 = 23, what is x? (a) 10 (b) 102 (c) 180 (d) 50
  29. 29.If x/4 + 11 = 15, what is x? (a) 4 (b) 104 (c) 49 (d) 16
  30. 30.If x/2 + 8 = 12, what is x? (a) 4 (b) 8 (c) 16 (d) 40
  31. 31.If 5x − 1 = 9, what is x? (a) 3 (b) 10 (c) 2 (d) 1
  32. 32.If x/2 + 1 = 3, what is x? (a) 5 (b) 8 (c) 2 (d) 4
  33. 33.If 5x + 9 = x + 41, what is x? (a) 9 (b) 10 (c) 7 (d) 8
  34. 34.If x/4 + 1 = 13, what is x? (a) 56 (b) 51 (c) 12 (d) 48
  35. 35.If 3x − 3 = 3, what is x? (a) 3 (b) 6 (c) 2 (d) 1
  36. 36.If 7x + 1 = 2x + 21, what is x? (a) 4 (b) 6 (c) 5 (d) 3
  37. 37.If x/5 + 11 = 17, what is x? (a) 140 (b) 30 (c) 74 (d) 6
  38. 38.If 9x + 6 = x + 46, what is x? (a) 4 (b) 7 (c) 5 (d) 6
  39. 39.If 5x + 24 = 89, what is x? (a) 65 (b) 14 (c) 12 (d) 13
  40. 40.If 3x + 8 = 20, what is x? (a) 5 (b) 12 (c) 3 (d) 4

Answer key

  1. 4
  2. 9
  3. 2
  4. 11
  5. 33
  6. 25
  7. 15
  8. 3
  9. 21
  10. 2
  11. 3
  12. 10
  13. 40
  14. 5
  15. 3
  16. 54
  17. 10
  18. 48
  19. 11
  20. 12
  21. 36
  22. 14
  23. 5
  24. 3
  25. 3
  26. 50
  27. 2
  28. 50
  29. 16
  30. 8
  31. 2
  32. 4
  33. 8
  34. 48
  35. 2
  36. 4
  37. 30
  38. 5
  39. 13
  40. 4

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