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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 11 · 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 − 15 = 3, what is x? (a) 3 (b) 4 (c) 18 (d) 2
  2. 2.If 6x + 1 = x + 46, what is x? (a) 9 (b) 11 (c) 8 (d) 10
  3. 3.If 3x + 20 = 2x + 30, what is x? (a) 10 (b) 50 (c) 11 (d) 2
  4. 4.If x/6 + 9 = 12, what is x? (a) 18 (b) 63 (c) 126 (d) 3
  5. 5.If 2x − 20 = 2, what is x? (a) 11 (b) 10 (c) 12 (d) 22
  6. 6.If 3x − 6 = 3, what is x? (a) 2 (b) 9 (c) 3 (d) 4
  7. 7.If 9x + 11 = 137, what is x? (a) 13 (b) 15 (c) 14 (d) 126
  8. 8.If 5x − 14 = 6, what is x? (a) 5 (b) 20 (c) 4 (d) 3
  9. 9.If x/5 + 4 = 8, what is x? (a) 20 (b) 4 (c) 60 (d) 36
  10. 10.If x/5 + 7 = 17, what is x? (a) 120 (b) 10 (c) 50 (d) 78
  11. 11.If 5x − 37 = 8, what is x? (a) 9 (b) 10 (c) 8 (d) 45
  12. 12.If 3x + 30 = 63, what is x? (a) 11 (b) 33 (c) 12 (d) 31
  13. 13.If x/2 + 14 = 25, what is x? (a) 78 (b) 36 (c) 22 (d) 11
  14. 14.If 7x + 6 = 69, what is x? (a) 10 (b) 9 (c) 8 (d) 63
  15. 15.If 8x − 52 = 52, what is x? (a) 104 (b) 12 (c) 14 (d) 13
  16. 16.If 2x − 1 = 21, what is x? (a) 10 (b) 12 (c) 11 (d) 22
  17. 17.If 8x + 7 = 6x + 13, what is x? (a) 5 (b) 4 (c) 10 (d) 3
  18. 18.If 3x + 19 = 2x + 30, what is x? (a) 11 (b) 49 (c) 12 (d) 13
  19. 19.If 5x + 11 = 76, what is x? (a) 65 (b) 13 (c) 12 (d) 14
  20. 20.If 4x + 13 = x + 16, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  21. 21.If x/6 + 14 = 18, what is x? (a) 24 (b) 94 (c) 4 (d) 192
  22. 22.If 4x − 12 = 12, what is x? (a) 6 (b) 7 (c) 24 (d) 5
  23. 23.If 7x + 28 = 91, what is x? (a) 9 (b) 10 (c) 17 (d) 63
  24. 24.If 5x + 12 = x + 40, what is x? (a) 7 (b) 8 (c) 13 (d) 9
  25. 25.If 7x − 32 = 3, what is x? (a) 6 (b) 5 (c) 35 (d) 4
  26. 26.If 3x − 2 = 7, what is x? (a) 9 (b) 2 (c) 3 (d) 4
  27. 27.If 8x + 19 = 51, what is x? (a) 4 (b) 5 (c) 32 (d) 3
  28. 28.If 5x + 2 = 3x + 4, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  29. 29.If 4x − 25 = 23, what is x? (a) 12 (b) 11 (c) 48 (d) 13
  30. 30.If 8x + 15 = x + 71, what is x? (a) 10 (b) 7 (c) 8 (d) 9
  31. 31.If x/3 + 4 = 6, what is x? (a) 30 (b) 14 (c) 6 (d) 2
  32. 32.If 6x − 30 = 30, what is x? (a) 60 (b) 11 (c) 10 (d) 9
  33. 33.If 6x − 23 = 49, what is x? (a) 12 (b) 11 (c) 72 (d) 13
  34. 34.If 3x + 10 = 19, what is x? (a) 3 (b) 4 (c) 2 (d) 9
  35. 35.If 8x + 4 = 68, what is x? (a) 8 (b) 64 (c) 7 (d) 9
  36. 36.If 3x + 25 = 31, what is x? (a) 2 (b) 6 (c) 1 (d) 3
  37. 37.If 4x − 48 = 12, what is x? (a) 14 (b) 15 (c) 60 (d) 16
  38. 38.If 9x + 11 = 119, what is x? (a) 13 (b) 12 (c) 11 (d) 108
  39. 39.If 2x − 2 = 24, what is x? (a) 26 (b) 14 (c) 13 (d) 11
  40. 40.If x/6 + 8 = 11, what is x? (a) 3 (b) 58 (c) 114 (d) 18

Answer key

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

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