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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 18 · 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 + 14 = 32, what is x? (a) 4 (b) 3 (c) 18 (d) 2
  2. 2.If 9x + 10 = 3x + 70, what is x? (a) 5 (b) 12 (c) 10 (d) 11
  3. 3.If 5x − 6 = 4, what is x? (a) 1 (b) 10 (c) 2 (d) 3
  4. 4.If 2x + 18 = 34, what is x? (a) 16 (b) 8 (c) 9 (d) 26
  5. 5.If 9x − 87 = 48, what is x? (a) 14 (b) 135 (c) 15 (d) 16
  6. 6.If 6x + 8 = 32, what is x? (a) 5 (b) 4 (c) 24 (d) 3
  7. 7.If 2x − 23 = 5, what is x? (a) 15 (b) 13 (c) 28 (d) 14
  8. 8.If 7x + 19 = 2x + 24, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  9. 9.If x/3 + 13 = 16, what is x? (a) 35 (b) 87 (c) 3 (d) 9
  10. 10.If 6x − 17 = 13, what is x? (a) 30 (b) 5 (c) 6 (d) 4
  11. 11.If 4x + 18 = 34, what is x? (a) 5 (b) 16 (c) 4 (d) 13
  12. 12.If 8x + 9 = 3x + 14, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  13. 13.If 5x − 8 = 2, what is x? (a) 2 (b) 10 (c) 1 (d) 3
  14. 14.If x/5 + 4 = 12, what is x? (a) 40 (b) 56 (c) 80 (d) 8
  15. 15.If 5x + 23 = 33, what is x? (a) 3 (b) 10 (c) 1 (d) 2
  16. 16.If x/2 + 11 = 23, what is x? (a) 24 (b) 35 (c) 68 (d) 12
  17. 17.If x/6 + 1 = 6, what is x? (a) 35 (b) 30 (c) 42 (d) 5
  18. 18.If 5x + 9 = 4x + 21, what is x? (a) 12 (b) 30 (c) 13 (d) 14
  19. 19.If 6x + 3 = 93, what is x? (a) 16 (b) 15 (c) 90 (d) 14
  20. 20.If x/6 + 4 = 11, what is x? (a) 90 (b) 7 (c) 62 (d) 42
  21. 21.If 5x + 9 = 34, what is x? (a) 25 (b) 6 (c) 5 (d) 4
  22. 22.If 7x + 30 = 58, what is x? (a) 4 (b) 28 (c) 5 (d) 3
  23. 23.If 5x − 20 = 10, what is x? (a) 7 (b) 5 (c) 30 (d) 6
  24. 24.If 8x + 11 = 115, what is x? (a) 104 (b) 12 (c) 14 (d) 13
  25. 25.If x/5 + 1 = 8, what is x? (a) 45 (b) 35 (c) 39 (d) 7
  26. 26.If 2x − 12 = 4, what is x? (a) 7 (b) 16 (c) 9 (d) 8
  27. 27.If 8x + 4 = 5x + 40, what is x? (a) 13 (b) 14 (c) 11 (d) 12
  28. 28.If x/4 + 4 = 16, what is x? (a) 48 (b) 80 (c) 12 (d) 60
  29. 29.If x/6 + 6 = 13, what is x? (a) 114 (b) 42 (c) 7 (d) 72
  30. 30.If x/3 + 1 = 8, what is x? (a) 23 (b) 7 (c) 21 (d) 27
  31. 31.If 9x + 28 = 46, what is x? (a) 2 (b) 18 (c) 3 (d) 1
  32. 32.If 3x + 9 = 2x + 11, what is x? (a) 3 (b) 4 (c) 20 (d) 2
  33. 33.If x/6 + 3 = 14, what is x? (a) 81 (b) 66 (c) 102 (d) 11
  34. 34.If 4x + 20 = x + 26, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  35. 35.If 5x + 14 = 89, what is x? (a) 75 (b) 14 (c) 15 (d) 16
  36. 36.If 6x + 10 = 4x + 24, what is x? (a) 7 (b) 8 (c) 9 (d) 17
  37. 37.If 9x + 20 = 3x + 56, what is x? (a) 3 (b) 7 (c) 8 (d) 6
  38. 38.If 5x + 11 = x + 55, what is x? (a) 13 (b) 12 (c) 10 (d) 11
  39. 39.If x/4 + 13 = 25, what is x? (a) 12 (b) 48 (c) 152 (d) 87
  40. 40.If 7x + 16 = 114, what is x? (a) 13 (b) 98 (c) 15 (d) 14

Answer key

  1. 3
  2. 10
  3. 2
  4. 8
  5. 15
  6. 4
  7. 14
  8. 1
  9. 9
  10. 5
  11. 4
  12. 1
  13. 2
  14. 40
  15. 2
  16. 24
  17. 30
  18. 12
  19. 15
  20. 42
  21. 5
  22. 4
  23. 6
  24. 13
  25. 35
  26. 8
  27. 12
  28. 48
  29. 42
  30. 21
  31. 2
  32. 2
  33. 66
  34. 2
  35. 15
  36. 7
  37. 6
  38. 11
  39. 48
  40. 14

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