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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 229 · 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 3x + 7 = 19, what is x? (a) 3 (b) 5 (c) 4 (d) 12
  2. 2.If 5x + 6 = 3x + 16, what is x? (a) 6 (b) 7 (c) 11 (d) 5
  3. 3.If x/2 + 5 = 7, what is x? (a) 9 (b) 2 (c) 4 (d) 24
  4. 4.If 8x + 16 = 4x + 24, what is x? (a) 2 (b) 4 (c) 10 (d) 3
  5. 5.If 8x + 20 = x + 55, what is x? (a) 6 (b) 4 (c) 5 (d) 7
  6. 6.If 9x − 41 = 13, what is x? (a) 54 (b) 7 (c) 6 (d) 5
  7. 7.If x/3 + 3 = 6, what is x? (a) 15 (b) 3 (c) 27 (d) 9
  8. 8.If x/3 + 3 = 11, what is x? (a) 30 (b) 24 (c) 8 (d) 42
  9. 9.If 9x + 1 = x + 49, what is x? (a) 5 (b) 7 (c) 8 (d) 6
  10. 10.If 2x + 29 = 47, what is x? (a) 18 (b) 9 (c) 10 (d) 38
  11. 11.If 4x − 10 = 6, what is x? (a) 16 (b) 3 (c) 5 (d) 4
  12. 12.If 3x + 17 = x + 41, what is x? (a) 29 (b) 6 (c) 12 (d) 13
  13. 13.If 8x + 7 = 5x + 25, what is x? (a) 6 (b) 5 (c) 8 (d) 7
  14. 14.If 3x − 28 = 14, what is x? (a) 13 (b) 15 (c) 14 (d) 42
  15. 15.If 6x + 10 = 94, what is x? (a) 84 (b) 13 (c) 14 (d) 15
  16. 16.If 8x − 41 = 79, what is x? (a) 15 (b) 14 (c) 16 (d) 120
  17. 17.If 8x + 11 = x + 39, what is x? (a) 6 (b) 3 (c) 4 (d) 5
  18. 18.If 9x + 19 = 8x + 23, what is x? (a) 6 (b) 5 (c) 42 (d) 4
  19. 19.If 3x − 6 = 3, what is x? (a) 3 (b) 4 (c) 9 (d) 2
  20. 20.If 2x + 25 = 29, what is x? (a) 4 (b) 27 (c) 2 (d) 3
  21. 21.If x/2 + 7 = 12, what is x? (a) 10 (b) 17 (c) 38 (d) 5
  22. 22.If 7x + 18 = 3x + 54, what is x? (a) 18 (b) 9 (c) 11 (d) 10
  23. 23.If x/3 + 11 = 17, what is x? (a) 40 (b) 84 (c) 6 (d) 18
  24. 24.If x/4 + 9 = 21, what is x? (a) 75 (b) 12 (c) 48 (d) 120
  25. 25.If 7x + 10 = 5x + 16, what is x? (a) 13 (b) 5 (c) 3 (d) 4
  26. 26.If 9x + 16 = 52, what is x? (a) 4 (b) 36 (c) 5 (d) 3
  27. 27.If 9x + 17 = 107, what is x? (a) 10 (b) 90 (c) 9 (d) 11
  28. 28.If 2x − 8 = 6, what is x? (a) 7 (b) 8 (c) 6 (d) 14
  29. 29.If 7x + 15 = 99, what is x? (a) 84 (b) 12 (c) 11 (d) 13
  30. 30.If 6x − 68 = 4, what is x? (a) 72 (b) 11 (c) 13 (d) 12
  31. 31.If 2x + 26 = 38, what is x? (a) 7 (b) 12 (c) 32 (d) 6
  32. 32.If 6x + 4 = 70, what is x? (a) 10 (b) 12 (c) 66 (d) 11
  33. 33.If 5x + 16 = 2x + 40, what is x? (a) 9 (b) 7 (c) 8 (d) 10
  34. 34.If 7x − 1 = 55, what is x? (a) 9 (b) 7 (c) 8 (d) 56
  35. 35.If 2x + 8 = 30, what is x? (a) 22 (b) 19 (c) 12 (d) 11
  36. 36.If 2x − 1 = 5, what is x? (a) 2 (b) 3 (c) 4 (d) 6
  37. 37.If 5x + 2 = 3x + 26, what is x? (a) 14 (b) 3 (c) 13 (d) 12
  38. 38.If 7x + 20 = 5x + 36, what is x? (a) 10 (b) 28 (c) 8 (d) 9
  39. 39.If 2x + 26 = 48, what is x? (a) 11 (b) 22 (c) 37 (d) 12
  40. 40.If x/3 + 2 = 10, what is x? (a) 8 (b) 28 (c) 36 (d) 24

Answer key

  1. 4
  2. 5
  3. 4
  4. 2
  5. 5
  6. 6
  7. 9
  8. 24
  9. 6
  10. 9
  11. 4
  12. 12
  13. 6
  14. 14
  15. 14
  16. 15
  17. 4
  18. 4
  19. 3
  20. 2
  21. 10
  22. 9
  23. 18
  24. 48
  25. 3
  26. 4
  27. 10
  28. 7
  29. 12
  30. 12
  31. 6
  32. 11
  33. 8
  34. 8
  35. 11
  36. 3
  37. 12
  38. 8
  39. 11
  40. 24

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