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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 568 · 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 2x + 28 = 36, what is x? (a) 32 (b) 5 (c) 4 (d) 8
  2. 2.If x/2 + 3 = 13, what is x? (a) 20 (b) 32 (c) 23 (d) 10
  3. 3.If 9x − 107 = 28, what is x? (a) 15 (b) 16 (c) 135 (d) 14
  4. 4.If 8x + 8 = 4x + 32, what is x? (a) 2 (b) 10 (c) 6 (d) 7
  5. 5.If 7x + 26 = 82, what is x? (a) 56 (b) 9 (c) 7 (d) 8
  6. 6.If 5x + 5 = 2x + 17, what is x? (a) 6 (b) 3 (c) 5 (d) 4
  7. 7.If 7x + 7 = 5x + 31, what is x? (a) 12 (b) 19 (c) 13 (d) 2
  8. 8.If 5x − 8 = 32, what is x? (a) 9 (b) 7 (c) 8 (d) 40
  9. 9.If 7x − 14 = 42, what is x? (a) 9 (b) 4 (c) 56 (d) 8
  10. 10.If 8x + 18 = 4x + 62, what is x? (a) 20 (b) 13 (c) 11 (d) 12
  11. 11.If 5x + 11 = 2x + 47, what is x? (a) 13 (b) 12 (c) 11 (d) 14
  12. 12.If 4x + 26 = 62, what is x? (a) 22 (b) 36 (c) 10 (d) 9
  13. 13.If 9x + 6 = 24, what is x? (a) 18 (b) 1 (c) 3 (d) 2
  14. 14.If 5x − 1 = 54, what is x? (a) 10 (b) 12 (c) 11 (d) 55
  15. 15.If 6x + 5 = 71, what is x? (a) 12 (b) 66 (c) 10 (d) 11
  16. 16.If 5x + 21 = 66, what is x? (a) 10 (b) 45 (c) 8 (d) 9
  17. 17.If 2x + 7 = 13, what is x? (a) 10 (b) 4 (c) 3 (d) 6
  18. 18.If 2x − 1 = 3, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  19. 19.If 8x − 9 = 31, what is x? (a) 4 (b) 6 (c) 5 (d) 40
  20. 20.If x/5 + 4 = 12, what is x? (a) 40 (b) 56 (c) 8 (d) 80
  21. 21.If 4x − 1 = 7, what is x? (a) 2 (b) 8 (c) 3 (d) 1
  22. 22.If 4x − 15 = 9, what is x? (a) 24 (b) 7 (c) 6 (d) 5
  23. 23.If 9x − 1 = 71, what is x? (a) 8 (b) 9 (c) 7 (d) 72
  24. 24.If 9x − 12 = 42, what is x? (a) 6 (b) 54 (c) 7 (d) 5
  25. 25.If x/2 + 3 = 6, what is x? (a) 3 (b) 6 (c) 9 (d) 18
  26. 26.If x/5 + 4 = 11, what is x? (a) 75 (b) 35 (c) 51 (d) 7
  27. 27.If 7x − 22 = 6, what is x? (a) 3 (b) 28 (c) 5 (d) 4
  28. 28.If 9x − 5 = 13, what is x? (a) 3 (b) 1 (c) 18 (d) 2
  29. 29.If 8x + 9 = 81, what is x? (a) 10 (b) 8 (c) 9 (d) 72
  30. 30.If 4x + 3 = 2x + 17, what is x? (a) 8 (b) 7 (c) 9 (d) 10
  31. 31.If 2x + 22 = 28, what is x? (a) 6 (b) 4 (c) 3 (d) 25
  32. 32.If 6x − 6 = 42, what is x? (a) 9 (b) 6 (c) 48 (d) 8
  33. 33.If 8x + 10 = 26, what is x? (a) 3 (b) 2 (c) 16 (d) 1
  34. 34.If x/5 + 11 = 16, what is x? (a) 5 (b) 69 (c) 25 (d) 135
  35. 35.If 8x + 5 = 117, what is x? (a) 15 (b) 112 (c) 13 (d) 14
  36. 36.If 9x + 20 = x + 84, what is x? (a) 13 (b) 9 (c) 10 (d) 8
  37. 37.If 6x + 29 = 41, what is x? (a) 1 (b) 12 (c) 2 (d) 3
  38. 38.If 2x − 2 = 4, what is x? (a) 3 (b) 6 (c) 4 (d) 1
  39. 39.If x/3 + 1 = 8, what is x? (a) 27 (b) 21 (c) 23 (d) 7
  40. 40.If 2x + 15 = 19, what is x? (a) 17 (b) 4 (c) 2 (d) 3

Answer key

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

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