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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 102 · 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 − 1 = 23, what is x? (a) 9 (b) 7 (c) 24 (d) 8
  2. 2.If 5x + 5 = 2x + 26, what is x? (a) 9 (b) 8 (c) 7 (d) 3
  3. 3.If 2x − 5 = 9, what is x? (a) 8 (b) 7 (c) 14 (d) 2
  4. 4.If 3x − 9 = 3, what is x? (a) 3 (b) 5 (c) 4 (d) 12
  5. 5.If 4x + 16 = 72, what is x? (a) 56 (b) 22 (c) 15 (d) 14
  6. 6.If 6x − 14 = 22, what is x? (a) 36 (b) 7 (c) 6 (d) 5
  7. 7.If 3x − 20 = 25, what is x? (a) 45 (b) 15 (c) 16 (d) 14
  8. 8.If x/2 + 13 = 15, what is x? (a) 17 (b) 2 (c) 56 (d) 4
  9. 9.If x/4 + 15 = 22, what is x? (a) 28 (b) 148 (c) 7 (d) 73
  10. 10.If 6x + 18 = 96, what is x? (a) 19 (b) 13 (c) 14 (d) 78
  11. 11.If 3x + 7 = 40, what is x? (a) 11 (b) 10 (c) 33 (d) 12
  12. 12.If 9x − 12 = 6, what is x? (a) 3 (b) 1 (c) 18 (d) 2
  13. 13.If 5x − 16 = 54, what is x? (a) 13 (b) 70 (c) 14 (d) 15
  14. 14.If 4x − 7 = 5, what is x? (a) 3 (b) 12 (c) 4 (d) 2
  15. 15.If x/6 + 13 = 15, what is x? (a) 168 (b) 12 (c) 2 (d) 77
  16. 16.If 3x + 1 = x + 13, what is x? (a) 3 (b) 7 (c) 8 (d) 6
  17. 17.If x/4 + 3 = 5, what is x? (a) 8 (b) 2 (c) 17 (d) 32
  18. 18.If 5x − 3 = 32, what is x? (a) 35 (b) 6 (c) 8 (d) 7
  19. 19.If 5x + 18 = x + 22, what is x? (a) 1 (b) 10 (c) 3 (d) 2
  20. 20.If 5x + 30 = 85, what is x? (a) 55 (b) 12 (c) 11 (d) 23
  21. 21.If 5x + 17 = 3x + 23, what is x? (a) 20 (b) 4 (c) 5 (d) 3
  22. 22.If 5x + 1 = x + 41, what is x? (a) 12 (b) 9 (c) 11 (d) 10
  23. 23.If 7x − 9 = 47, what is x? (a) 7 (b) 56 (c) 8 (d) 9
  24. 24.If 2x + 5 = 33, what is x? (a) 15 (b) 19 (c) 28 (d) 14
  25. 25.If x/5 + 11 = 13, what is x? (a) 120 (b) 2 (c) 54 (d) 10
  26. 26.If 5x + 2 = x + 26, what is x? (a) 6 (b) 8 (c) 7 (d) 4
  27. 27.If 7x + 8 = 2x + 13, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  28. 28.If 4x + 1 = 17, what is x? (a) 3 (b) 16 (c) 5 (d) 4
  29. 29.If 8x − 1 = 23, what is x? (a) 2 (b) 24 (c) 3 (d) 4
  30. 30.If 5x + 23 = 93, what is x? (a) 15 (b) 70 (c) 13 (d) 14
  31. 31.If 6x + 27 = 69, what is x? (a) 16 (b) 42 (c) 8 (d) 7
  32. 32.If 6x + 20 = 80, what is x? (a) 9 (b) 10 (c) 60 (d) 11
  33. 33.If 8x + 17 = 129, what is x? (a) 112 (b) 13 (c) 14 (d) 15
  34. 34.If 4x + 1 = x + 25, what is x? (a) 10 (b) 7 (c) 9 (d) 8
  35. 35.If x/2 + 12 = 17, what is x? (a) 10 (b) 22 (c) 5 (d) 58
  36. 36.If 2x − 5 = 11, what is x? (a) 8 (b) 3 (c) 9 (d) 16
  37. 37.If 9x + 16 = 3x + 34, what is x? (a) 5 (b) 3 (c) 4 (d) 2
  38. 38.If 9x + 1 = x + 81, what is x? (a) 8 (b) 11 (c) 10 (d) 12
  39. 39.If 2x − 7 = 3, what is x? (a) 4 (b) 6 (c) 10 (d) 5
  40. 40.If x/5 + 8 = 15, what is x? (a) 7 (b) 115 (c) 35 (d) 67

Answer key

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

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