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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 488 · 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 5x − 33 = 7, what is x? (a) 9 (b) 40 (c) 8 (d) 7
  2. 2.If 3x − 6 = 39, what is x? (a) 16 (b) 11 (c) 45 (d) 15
  3. 3.If 5x + 6 = 3x + 24, what is x? (a) 9 (b) 11 (c) 15 (d) 10
  4. 4.If 7x + 13 = 48, what is x? (a) 6 (b) 35 (c) 5 (d) 4
  5. 5.If 7x + 18 = 6x + 28, what is x? (a) 46 (b) 11 (c) 10 (d) 12
  6. 6.If 2x − 15 = 15, what is x? (a) 16 (b) 15 (c) 30 (d) 14
  7. 7.If 7x + 3 = 2x + 33, what is x? (a) 5 (b) 8 (c) 6 (d) 7
  8. 8.If 9x + 30 = 129, what is x? (a) 12 (b) 11 (c) 10 (d) 99
  9. 9.If 4x − 4 = 12, what is x? (a) 4 (b) 16 (c) 2 (d) 5
  10. 10.If x/6 + 5 = 8, what is x? (a) 43 (b) 18 (c) 78 (d) 3
  11. 11.If 3x − 7 = 2, what is x? (a) 3 (b) 4 (c) 2 (d) 9
  12. 12.If 4x + 11 = 3x + 18, what is x? (a) 1 (b) 29 (c) 8 (d) 7
  13. 13.If 8x + 28 = 100, what is x? (a) 9 (b) 10 (c) 72 (d) 16
  14. 14.If 3x − 12 = 15, what is x? (a) 27 (b) 9 (c) 10 (d) 1
  15. 15.If 2x − 1 = 9, what is x? (a) 6 (b) 5 (c) 4 (d) 10
  16. 16.If 8x − 10 = 22, what is x? (a) 4 (b) 5 (c) 3 (d) 32
  17. 17.If 3x + 30 = 66, what is x? (a) 12 (b) 32 (c) 36 (d) 13
  18. 18.If 6x − 62 = 22, what is x? (a) 15 (b) 14 (c) 84 (d) 13
  19. 19.If 5x + 19 = 84, what is x? (a) 65 (b) 14 (c) 13 (d) 12
  20. 20.If 2x − 10 = 14, what is x? (a) 12 (b) 2 (c) 24 (d) 13
  21. 21.If 7x + 8 = x + 68, what is x? (a) 10 (b) 12 (c) 11 (d) 9
  22. 22.If 9x + 19 = x + 67, what is x? (a) 6 (b) 7 (c) 8 (d) 5
  23. 23.If 6x + 3 = 63, what is x? (a) 11 (b) 9 (c) 60 (d) 10
  24. 24.If 4x − 8 = 8, what is x? (a) 5 (b) 16 (c) 3 (d) 4
  25. 25.If 5x − 17 = 23, what is x? (a) 9 (b) 7 (c) 40 (d) 8
  26. 26.If 2x − 5 = 13, what is x? (a) 18 (b) 4 (c) 10 (d) 9
  27. 27.If x/5 + 1 = 5, what is x? (a) 30 (b) 4 (c) 20 (d) 24
  28. 28.If 9x − 98 = 1, what is x? (a) 99 (b) 12 (c) 11 (d) 10
  29. 29.If 2x + 20 = 28, what is x? (a) 24 (b) 5 (c) 8 (d) 4
  30. 30.If x/2 + 11 = 14, what is x? (a) 17 (b) 50 (c) 6 (d) 3
  31. 31.If 3x − 27 = 18, what is x? (a) 16 (b) 45 (c) 15 (d) 14
  32. 32.If 5x + 11 = 26, what is x? (a) 15 (b) 3 (c) 4 (d) 2
  33. 33.If 2x + 5 = 31, what is x? (a) 26 (b) 14 (c) 18 (d) 13
  34. 34.If x/3 + 2 = 8, what is x? (a) 22 (b) 6 (c) 18 (d) 30
  35. 35.If 6x + 7 = 4x + 19, what is x? (a) 13 (b) 6 (c) 7 (d) 8
  36. 36.If 9x + 13 = 76, what is x? (a) 6 (b) 7 (c) 63 (d) 8
  37. 37.If 6x − 9 = 39, what is x? (a) 5 (b) 9 (c) 8 (d) 48
  38. 38.If 3x + 8 = 2x + 19, what is x? (a) 12 (b) 11 (c) 27 (d) 13
  39. 39.If 8x − 15 = 9, what is x? (a) 4 (b) 24 (c) 2 (d) 3
  40. 40.If 4x − 9 = 11, what is x? (a) 4 (b) 6 (c) 20 (d) 5

Answer key

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

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