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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 336 · 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 x/4 + 8 = 15, what is x? (a) 7 (b) 28 (c) 52 (d) 92
  2. 2.If 5x − 13 = 42, what is x? (a) 12 (b) 55 (c) 11 (d) 10
  3. 3.If 5x + 16 = 41, what is x? (a) 25 (b) 6 (c) 5 (d) 4
  4. 4.If x/5 + 7 = 11, what is x? (a) 90 (b) 48 (c) 20 (d) 4
  5. 5.If 9x + 12 = 102, what is x? (a) 11 (b) 10 (c) 9 (d) 90
  6. 6.If 4x + 5 = x + 23, what is x? (a) 5 (b) 6 (c) 7 (d) 8
  7. 7.If 8x − 15 = 9, what is x? (a) 4 (b) 3 (c) 2 (d) 24
  8. 8.If 7x + 5 = x + 11, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  9. 9.If 3x + 15 = 2x + 16, what is x? (a) 2 (b) 3 (c) 1 (d) 31
  10. 10.If 6x − 9 = 27, what is x? (a) 36 (b) 6 (c) 7 (d) 3
  11. 11.If 3x − 2 = 13, what is x? (a) 6 (b) 5 (c) 4 (d) 15
  12. 12.If 8x − 6 = 26, what is x? (a) 3 (b) 32 (c) 4 (d) 5
  13. 13.If 5x − 20 = 50, what is x? (a) 14 (b) 6 (c) 70 (d) 15
  14. 14.If 3x − 2 = 4, what is x? (a) 1 (b) 2 (c) 6 (d) 3
  15. 15.If 8x + 29 = 109, what is x? (a) 11 (b) 80 (c) 9 (d) 10
  16. 16.If 3x − 3 = 6, what is x? (a) 9 (b) 4 (c) 3 (d) 1
  17. 17.If x/6 + 7 = 16, what is x? (a) 54 (b) 89 (c) 138 (d) 9
  18. 18.If 6x + 17 = 29, what is x? (a) 12 (b) 3 (c) 1 (d) 2
  19. 19.If 3x + 14 = 35, what is x? (a) 21 (b) 7 (c) 8 (d) 6
  20. 20.If 9x − 40 = 77, what is x? (a) 12 (b) 13 (c) 117 (d) 14
  21. 21.If 4x + 2 = 2x + 10, what is x? (a) 4 (b) 3 (c) 5 (d) 6
  22. 22.If x/6 + 9 = 11, what is x? (a) 57 (b) 120 (c) 12 (d) 2
  23. 23.If 9x + 16 = 2x + 23, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  24. 24.If x/6 + 10 = 15, what is x? (a) 30 (b) 150 (c) 80 (d) 5
  25. 25.If 6x + 13 = 2x + 37, what is x? (a) 7 (b) 6 (c) 8 (d) 3
  26. 26.If 4x − 12 = 12, what is x? (a) 5 (b) 7 (c) 6 (d) 24
  27. 27.If 6x + 19 = x + 39, what is x? (a) 4 (b) 3 (c) 5 (d) 6
  28. 28.If 3x + 6 = 36, what is x? (a) 10 (b) 14 (c) 30 (d) 11
  29. 29.If 2x + 19 = 41, what is x? (a) 11 (b) 30 (c) 12 (d) 22
  30. 30.If 4x + 19 = 55, what is x? (a) 10 (b) 9 (c) 8 (d) 36
  31. 31.If 9x + 1 = 8x + 10, what is x? (a) 10 (b) 9 (c) 11 (d) 8
  32. 32.If x/4 + 9 = 13, what is x? (a) 4 (b) 88 (c) 43 (d) 16
  33. 33.If 7x − 23 = 26, what is x? (a) 7 (b) 8 (c) 49 (d) 6
  34. 34.If x/6 + 3 = 5, what is x? (a) 48 (b) 2 (c) 27 (d) 12
  35. 35.If x/6 + 4 = 8, what is x? (a) 4 (b) 44 (c) 24 (d) 72
  36. 36.If x/3 + 4 = 6, what is x? (a) 6 (b) 30 (c) 14 (d) 2
  37. 37.If 4x + 1 = x + 13, what is x? (a) 6 (b) 4 (c) 5 (d) 3
  38. 38.If 3x + 8 = 14, what is x? (a) 6 (b) 1 (c) 2 (d) 3
  39. 39.If 3x − 12 = 12, what is x? (a) 7 (b) 24 (c) 8 (d) 9
  40. 40.If 8x + 10 = 42, what is x? (a) 5 (b) 4 (c) 3 (d) 32

Answer key

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

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