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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 763 · 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 + 6 = 8x + 16, what is x? (a) 11 (b) 22 (c) 10 (d) 12
  2. 2.If 6x + 16 = 58, what is x? (a) 6 (b) 7 (c) 8 (d) 42
  3. 3.If x/2 + 15 = 25, what is x? (a) 35 (b) 80 (c) 20 (d) 10
  4. 4.If 2x + 5 = 15, what is x? (a) 4 (b) 5 (c) 10 (d) 6
  5. 5.If 7x + 15 = 29, what is x? (a) 14 (b) 2 (c) 3 (d) 1
  6. 6.If x/2 + 10 = 13, what is x? (a) 46 (b) 3 (c) 6 (d) 16
  7. 7.If 4x + 28 = 64, what is x? (a) 23 (b) 10 (c) 9 (d) 36
  8. 8.If 2x + 4 = 8, what is x? (a) 3 (b) 6 (c) 4 (d) 2
  9. 9.If x/2 + 9 = 11, what is x? (a) 4 (b) 40 (c) 13 (d) 2
  10. 10.If 4x + 25 = 77, what is x? (a) 12 (b) 52 (c) 14 (d) 13
  11. 11.If 6x + 6 = 2x + 26, what is x? (a) 7 (b) 5 (c) 8 (d) 6
  12. 12.If x/2 + 2 = 8, what is x? (a) 14 (b) 20 (c) 12 (d) 6
  13. 13.If 2x + 28 = 40, what is x? (a) 34 (b) 12 (c) 6 (d) 7
  14. 14.If 2x + 19 = 25, what is x? (a) 3 (b) 4 (c) 6 (d) 22
  15. 15.If 3x + 24 = 30, what is x? (a) 2 (b) 3 (c) 18 (d) 6
  16. 16.If 7x + 28 = 84, what is x? (a) 9 (b) 56 (c) 16 (d) 8
  17. 17.If 2x + 25 = 35, what is x? (a) 6 (b) 10 (c) 5 (d) 30
  18. 18.If 6x + 15 = 87, what is x? (a) 17 (b) 72 (c) 13 (d) 12
  19. 19.If 9x + 3 = 93, what is x? (a) 11 (b) 9 (c) 90 (d) 10
  20. 20.If 9x − 12 = 114, what is x? (a) 15 (b) 14 (c) 13 (d) 126
  21. 21.If 3x + 16 = 2x + 25, what is x? (a) 11 (b) 41 (c) 10 (d) 9
  22. 22.If 2x − 1 = 3, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  23. 23.If 7x − 12 = 58, what is x? (a) 70 (b) 9 (c) 10 (d) 11
  24. 24.If 8x + 6 = 118, what is x? (a) 15 (b) 112 (c) 14 (d) 13
  25. 25.If 4x + 13 = x + 22, what is x? (a) 5 (b) 4 (c) 2 (d) 3
  26. 26.If 3x + 29 = 59, what is x? (a) 11 (b) 30 (c) 9 (d) 10
  27. 27.If 9x − 97 = 20, what is x? (a) 14 (b) 13 (c) 117 (d) 12
  28. 28.If 8x − 10 = 54, what is x? (a) 64 (b) 8 (c) 9 (d) 7
  29. 29.If 8x + 17 = 5x + 32, what is x? (a) 6 (b) 7 (c) 4 (d) 5
  30. 30.If 5x + 21 = 81, what is x? (a) 11 (b) 13 (c) 12 (d) 60
  31. 31.If 6x + 19 = 31, what is x? (a) 2 (b) 3 (c) 12 (d) 1
  32. 32.If 3x + 5 = x + 29, what is x? (a) 12 (b) 6 (c) 13 (d) 17
  33. 33.If 6x − 13 = 5, what is x? (a) 4 (b) 2 (c) 18 (d) 3
  34. 34.If 5x − 61 = 14, what is x? (a) 16 (b) 15 (c) 75 (d) 14
  35. 35.If 2x + 26 = 46, what is x? (a) 10 (b) 20 (c) 11 (d) 36
  36. 36.If 3x + 14 = x + 28, what is x? (a) 21 (b) 8 (c) 9 (d) 7
  37. 37.If 3x + 6 = 33, what is x? (a) 9 (b) 13 (c) 10 (d) 27
  38. 38.If 4x + 2 = 3x + 10, what is x? (a) 10 (b) 12 (c) 8 (d) 9
  39. 39.If 4x + 4 = 52, what is x? (a) 13 (b) 12 (c) 14 (d) 48
  40. 40.If 3x + 13 = x + 25, what is x? (a) 7 (b) 6 (c) 19 (d) 3

Answer key

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

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