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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 177 · 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 x/2 + 4 = 13, what is x? (a) 22 (b) 18 (c) 34 (d) 9
  2. 2.If 2x − 7 = 3, what is x? (a) 6 (b) 4 (c) 5 (d) 10
  3. 3.If 6x + 5 = 2x + 9, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  4. 4.If 4x + 29 = 37, what is x? (a) 3 (b) 2 (c) 1 (d) 8
  5. 5.If 9x + 12 = 3x + 18, what is x? (a) 1 (b) 5 (c) 2 (d) 3
  6. 6.If 3x − 6 = 9, what is x? (a) 5 (b) 1 (c) 15 (d) 6
  7. 7.If 4x + 5 = x + 17, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  8. 8.If x/2 + 1 = 11, what is x? (a) 10 (b) 21 (c) 24 (d) 20
  9. 9.If x/3 + 1 = 4, what is x? (a) 3 (b) 11 (c) 15 (d) 9
  10. 10.If 3x − 12 = 15, what is x? (a) 1 (b) 27 (c) 9 (d) 10
  11. 11.If 8x + 3 = 2x + 51, what is x? (a) 9 (b) 10 (c) 7 (d) 8
  12. 12.If 2x + 4 = 16, what is x? (a) 7 (b) 12 (c) 6 (d) 10
  13. 13.If 9x + 15 = 8x + 25, what is x? (a) 40 (b) 11 (c) 10 (d) 12
  14. 14.If 6x + 12 = 2x + 36, what is x? (a) 7 (b) 3 (c) 12 (d) 6
  15. 15.If 7x − 2 = 12, what is x? (a) 3 (b) 14 (c) 1 (d) 2
  16. 16.If 7x + 11 = 2x + 26, what is x? (a) 5 (b) 3 (c) 2 (d) 4
  17. 17.If 5x + 14 = 3x + 22, what is x? (a) 18 (b) 5 (c) 4 (d) 1
  18. 18.If 2x + 18 = 38, what is x? (a) 11 (b) 20 (c) 10 (d) 28
  19. 19.If 5x + 18 = 48, what is x? (a) 7 (b) 30 (c) 6 (d) 5
  20. 20.If 3x + 16 = 34, what is x? (a) 18 (b) 5 (c) 7 (d) 6
  21. 21.If 3x + 25 = 34, what is x? (a) 4 (b) 2 (c) 3 (d) 9
  22. 22.If x/2 + 13 = 22, what is x? (a) 9 (b) 18 (c) 70 (d) 31
  23. 23.If 4x + 10 = x + 40, what is x? (a) 11 (b) 12 (c) 6 (d) 10
  24. 24.If 7x − 33 = 9, what is x? (a) 42 (b) 7 (c) 6 (d) 5
  25. 25.If 9x + 9 = 36, what is x? (a) 4 (b) 5 (c) 3 (d) 27
  26. 26.If 6x + 29 = 41, what is x? (a) 3 (b) 1 (c) 12 (d) 2
  27. 27.If 4x + 6 = 38, what is x? (a) 8 (b) 11 (c) 32 (d) 9
  28. 28.If 9x − 115 = 2, what is x? (a) 117 (b) 14 (c) 13 (d) 12
  29. 29.If 9x − 13 = 14, what is x? (a) 27 (b) 2 (c) 4 (d) 3
  30. 30.If x/3 + 8 = 15, what is x? (a) 37 (b) 7 (c) 21 (d) 69
  31. 31.If x/6 + 7 = 10, what is x? (a) 3 (b) 102 (c) 18 (d) 53
  32. 32.If 9x + 28 = 100, what is x? (a) 72 (b) 8 (c) 9 (d) 7
  33. 33.If 4x − 2 = 14, what is x? (a) 4 (b) 5 (c) 3 (d) 16
  34. 34.If x/6 + 5 = 7, what is x? (a) 12 (b) 72 (c) 37 (d) 2
  35. 35.If 6x + 17 = 4x + 21, what is x? (a) 2 (b) 4 (c) 3 (d) 19
  36. 36.If 4x + 2 = x + 11, what is x? (a) 4 (b) 2 (c) 3 (d) 5
  37. 37.If 2x + 15 = 41, what is x? (a) 28 (b) 13 (c) 14 (d) 26
  38. 38.If x/5 + 13 = 17, what is x? (a) 20 (b) 4 (c) 72 (d) 150
  39. 39.If 4x + 10 = 18, what is x? (a) 3 (b) 7 (c) 8 (d) 2
  40. 40.If 7x − 3 = 60, what is x? (a) 10 (b) 9 (c) 8 (d) 63

Answer key

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

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