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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 173 · 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 9x − 14 = 76, what is x? (a) 9 (b) 10 (c) 11 (d) 90
  2. 2.If 6x + 25 = 43, what is x? (a) 18 (b) 2 (c) 3 (d) 4
  3. 3.If 2x + 29 = 41, what is x? (a) 35 (b) 7 (c) 6 (d) 12
  4. 4.If 3x + 20 = 2x + 31, what is x? (a) 13 (b) 51 (c) 11 (d) 12
  5. 5.If 3x + 6 = 2x + 12, what is x? (a) 18 (b) 8 (c) 6 (d) 7
  6. 6.If 5x + 30 = 40, what is x? (a) 3 (b) 14 (c) 2 (d) 10
  7. 7.If 3x + 3 = 18, what is x? (a) 5 (b) 15 (c) 6 (d) 7
  8. 8.If 6x − 9 = 39, what is x? (a) 9 (b) 48 (c) 5 (d) 8
  9. 9.If 5x + 1 = 71, what is x? (a) 13 (b) 14 (c) 15 (d) 70
  10. 10.If x/5 + 11 = 14, what is x? (a) 15 (b) 3 (c) 125 (d) 59
  11. 11.If 4x + 11 = 3x + 20, what is x? (a) 9 (b) 11 (c) 10 (d) 31
  12. 12.If 8x + 2 = 82, what is x? (a) 11 (b) 80 (c) 9 (d) 10
  13. 13.If 6x + 6 = 60, what is x? (a) 11 (b) 9 (c) 10 (d) 54
  14. 14.If x/2 + 1 = 3, what is x? (a) 4 (b) 5 (c) 2 (d) 8
  15. 15.If 9x + 10 = 3x + 16, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  16. 16.If 5x + 10 = 20, what is x? (a) 10 (b) 2 (c) 6 (d) 3
  17. 17.If 2x + 3 = 29, what is x? (a) 13 (b) 16 (c) 26 (d) 14
  18. 18.If 3x − 32 = 4, what is x? (a) 13 (b) 12 (c) 36 (d) 11
  19. 19.If x/6 + 3 = 6, what is x? (a) 3 (b) 33 (c) 54 (d) 18
  20. 20.If 6x + 16 = 106, what is x? (a) 14 (b) 90 (c) 16 (d) 15
  21. 21.If 5x + 14 = 79, what is x? (a) 14 (b) 65 (c) 12 (d) 13
  22. 22.If x/4 + 11 = 14, what is x? (a) 100 (b) 45 (c) 3 (d) 12
  23. 23.If 6x − 34 = 26, what is x? (a) 11 (b) 60 (c) 9 (d) 10
  24. 24.If 8x + 19 = 51, what is x? (a) 32 (b) 4 (c) 3 (d) 5
  25. 25.If 4x + 3 = 3x + 7, what is x? (a) 5 (b) 10 (c) 6 (d) 4
  26. 26.If 2x + 6 = 32, what is x? (a) 13 (b) 14 (c) 26 (d) 19
  27. 27.If 8x + 11 = 2x + 35, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  28. 28.If 3x + 10 = 31, what is x? (a) 7 (b) 6 (c) 8 (d) 21
  29. 29.If x/6 + 5 = 8, what is x? (a) 3 (b) 78 (c) 43 (d) 18
  30. 30.If 4x + 2 = x + 8, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  31. 31.If x/4 + 4 = 6, what is x? (a) 2 (b) 20 (c) 40 (d) 8
  32. 32.If x/2 + 3 = 14, what is x? (a) 22 (b) 11 (c) 25 (d) 34
  33. 33.If x/4 + 9 = 16, what is x? (a) 55 (b) 100 (c) 7 (d) 28
  34. 34.If 8x + 9 = 7x + 20, what is x? (a) 13 (b) 11 (c) 12 (d) 29
  35. 35.If 2x − 5 = 7, what is x? (a) 7 (b) 12 (c) 6 (d) 1
  36. 36.If 2x + 21 = 33, what is x? (a) 27 (b) 12 (c) 7 (d) 6
  37. 37.If 9x − 39 = 87, what is x? (a) 13 (b) 126 (c) 14 (d) 15
  38. 38.If 4x − 6 = 30, what is x? (a) 6 (b) 36 (c) 10 (d) 9
  39. 39.If x/3 + 13 = 21, what is x? (a) 8 (b) 50 (c) 24 (d) 102
  40. 40.If 5x − 15 = 30, what is x? (a) 3 (b) 10 (c) 45 (d) 9

Answer key

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

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