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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 464 · 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 6x + 5 = 4x + 29, what is x? (a) 14 (b) 12 (c) 13 (d) 17
  2. 2.If x/3 + 4 = 11, what is x? (a) 45 (b) 29 (c) 7 (d) 21
  3. 3.If 7x + 20 = 4x + 47, what is x? (a) 9 (b) 11 (c) 8 (d) 10
  4. 4.If 3x + 19 = 2x + 29, what is x? (a) 2 (b) 11 (c) 48 (d) 10
  5. 5.If 3x + 2 = 32, what is x? (a) 11 (b) 30 (c) 9 (d) 10
  6. 6.If 6x + 14 = 86, what is x? (a) 72 (b) 12 (c) 11 (d) 13
  7. 7.If 4x + 26 = 46, what is x? (a) 18 (b) 5 (c) 6 (d) 20
  8. 8.If 9x + 6 = 5x + 22, what is x? (a) 7 (b) 5 (c) 6 (d) 4
  9. 9.If 7x + 9 = 37, what is x? (a) 4 (b) 3 (c) 5 (d) 28
  10. 10.If 3x + 10 = 2x + 22, what is x? (a) 14 (b) 32 (c) 12 (d) 13
  11. 11.If 3x + 3 = 18, what is x? (a) 7 (b) 15 (c) 6 (d) 5
  12. 12.If 6x + 7 = 97, what is x? (a) 15 (b) 90 (c) 16 (d) 14
  13. 13.If 6x − 50 = 34, what is x? (a) 13 (b) 14 (c) 15 (d) 84
  14. 14.If x/2 + 2 = 9, what is x? (a) 22 (b) 16 (c) 7 (d) 14
  15. 15.If x/2 + 10 = 15, what is x? (a) 20 (b) 10 (c) 50 (d) 5
  16. 16.If x/5 + 11 = 20, what is x? (a) 155 (b) 45 (c) 89 (d) 9
  17. 17.If 9x − 34 = 29, what is x? (a) 7 (b) 6 (c) 63 (d) 8
  18. 18.If 2x − 1 = 3, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  19. 19.If 8x + 22 = 46, what is x? (a) 3 (b) 2 (c) 24 (d) 4
  20. 20.If 6x + 5 = 95, what is x? (a) 14 (b) 16 (c) 15 (d) 90
  21. 21.If 7x + 20 = 6x + 29, what is x? (a) 49 (b) 11 (c) 10 (d) 9
  22. 22.If 6x − 5 = 13, what is x? (a) 18 (b) 4 (c) 2 (d) 3
  23. 23.If x/6 + 10 = 15, what is x? (a) 80 (b) 30 (c) 5 (d) 150
  24. 24.If 2x + 5 = 9, what is x? (a) 7 (b) 4 (c) 2 (d) 3
  25. 25.If x/2 + 1 = 13, what is x? (a) 25 (b) 28 (c) 24 (d) 12
  26. 26.If 5x + 14 = x + 38, what is x? (a) 13 (b) 6 (c) 4 (d) 7
  27. 27.If x/6 + 2 = 6, what is x? (a) 4 (b) 34 (c) 48 (d) 24
  28. 28.If 3x − 2 = 7, what is x? (a) 3 (b) 9 (c) 4 (d) 2
  29. 29.If x/2 + 2 = 12, what is x? (a) 20 (b) 10 (c) 28 (d) 22
  30. 30.If x/4 + 3 = 7, what is x? (a) 4 (b) 25 (c) 16 (d) 40
  31. 31.If 3x + 10 = 28, what is x? (a) 18 (b) 5 (c) 6 (d) 7
  32. 32.If 9x + 8 = x + 80, what is x? (a) 8 (b) 10 (c) 11 (d) 9
  33. 33.If 3x − 8 = 4, what is x? (a) 5 (b) 4 (c) 12 (d) 3
  34. 34.If x/2 + 6 = 11, what is x? (a) 16 (b) 10 (c) 5 (d) 34
  35. 35.If 5x + 5 = 2x + 14, what is x? (a) 5 (b) 3 (c) 4 (d) 2
  36. 36.If x/3 + 9 = 20, what is x? (a) 11 (b) 87 (c) 51 (d) 33
  37. 37.If 4x + 15 = 2x + 31, what is x? (a) 10 (b) 9 (c) 8 (d) 23
  38. 38.If x/4 + 15 = 18, what is x? (a) 3 (b) 132 (c) 12 (d) 57
  39. 39.If 6x + 19 = 67, what is x? (a) 9 (b) 48 (c) 7 (d) 8
  40. 40.If 7x − 10 = 60, what is x? (a) 10 (b) 9 (c) 11 (d) 70

Answer key

  1. 12
  2. 21
  3. 9
  4. 10
  5. 10
  6. 12
  7. 5
  8. 4
  9. 4
  10. 12
  11. 5
  12. 15
  13. 14
  14. 14
  15. 10
  16. 45
  17. 7
  18. 2
  19. 3
  20. 15
  21. 9
  22. 3
  23. 30
  24. 2
  25. 24
  26. 6
  27. 24
  28. 3
  29. 20
  30. 16
  31. 6
  32. 9
  33. 4
  34. 10
  35. 3
  36. 33
  37. 8
  38. 12
  39. 8
  40. 10

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