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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 539 · 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 + 4 = 58, what is x? (a) 54 (b) 10 (c) 8 (d) 9
  2. 2.If 2x + 4 = 10, what is x? (a) 7 (b) 3 (c) 6 (d) 4
  3. 3.If 3x + 4 = x + 18, what is x? (a) 9 (b) 7 (c) 8 (d) 11
  4. 4.If 8x + 15 = 135, what is x? (a) 14 (b) 120 (c) 16 (d) 15
  5. 5.If 8x + 24 = 128, what is x? (a) 19 (b) 104 (c) 14 (d) 13
  6. 6.If 5x − 13 = 7, what is x? (a) 4 (b) 3 (c) 20 (d) 5
  7. 7.If 6x − 22 = 2, what is x? (a) 5 (b) 24 (c) 3 (d) 4
  8. 8.If 3x + 12 = x + 28, what is x? (a) 8 (b) 9 (c) 20 (d) 4
  9. 9.If 4x + 8 = 2x + 18, what is x? (a) 6 (b) 13 (c) 7 (d) 5
  10. 10.If 8x + 3 = 6x + 15, what is x? (a) 8 (b) 9 (c) 6 (d) 7
  11. 11.If 8x + 13 = 7x + 19, what is x? (a) 7 (b) 8 (c) 32 (d) 6
  12. 12.If 8x + 5 = 69, what is x? (a) 8 (b) 9 (c) 7 (d) 64
  13. 13.If 6x − 17 = 31, what is x? (a) 7 (b) 9 (c) 8 (d) 48
  14. 14.If 2x − 6 = 2, what is x? (a) 5 (b) 8 (c) 3 (d) 4
  15. 15.If x/6 + 5 = 12, what is x? (a) 42 (b) 67 (c) 7 (d) 102
  16. 16.If 3x − 1 = 23, what is x? (a) 9 (b) 8 (c) 7 (d) 24
  17. 17.If 2x + 21 = 49, what is x? (a) 35 (b) 14 (c) 28 (d) 15
  18. 18.If 4x + 18 = 66, what is x? (a) 48 (b) 13 (c) 12 (d) 21
  19. 19.If x/4 + 12 = 24, what is x? (a) 48 (b) 12 (c) 84 (d) 144
  20. 20.If 9x + 24 = 132, what is x? (a) 108 (b) 11 (c) 13 (d) 12
  21. 21.If 3x − 26 = 16, what is x? (a) 14 (b) 15 (c) 13 (d) 42
  22. 22.If 8x + 2 = 114, what is x? (a) 14 (b) 15 (c) 112 (d) 13
  23. 23.If 8x + 4 = x + 67, what is x? (a) 10 (b) 11 (c) 9 (d) 7
  24. 24.If 9x + 13 = 7x + 17, what is x? (a) 3 (b) 4 (c) 2 (d) 15
  25. 25.If x/5 + 7 = 10, what is x? (a) 43 (b) 3 (c) 85 (d) 15
  26. 26.If x/6 + 11 = 19, what is x? (a) 180 (b) 8 (c) 48 (d) 103
  27. 27.If 3x − 16 = 23, what is x? (a) 13 (b) 14 (c) 12 (d) 39
  28. 28.If 6x − 17 = 55, what is x? (a) 12 (b) 11 (c) 13 (d) 72
  29. 29.If x/6 + 5 = 7, what is x? (a) 72 (b) 12 (c) 2 (d) 37
  30. 30.If 3x − 20 = 4, what is x? (a) 8 (b) 24 (c) 7 (d) 9
  31. 31.If 5x + 10 = 4x + 21, what is x? (a) 13 (b) 31 (c) 11 (d) 12
  32. 32.If x/2 + 2 = 11, what is x? (a) 20 (b) 18 (c) 26 (d) 9
  33. 33.If 3x + 22 = 43, what is x? (a) 7 (b) 21 (c) 8 (d) 6
  34. 34.If x/4 + 2 = 5, what is x? (a) 18 (b) 12 (c) 3 (d) 28
  35. 35.If 2x + 25 = 51, what is x? (a) 38 (b) 26 (c) 13 (d) 14
  36. 36.If 2x − 1 = 3, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  37. 37.If x/2 + 4 = 7, what is x? (a) 10 (b) 22 (c) 3 (d) 6
  38. 38.If 3x + 20 = 2x + 31, what is x? (a) 51 (b) 13 (c) 11 (d) 12
  39. 39.If 4x + 29 = 89, what is x? (a) 15 (b) 60 (c) 14 (d) 16
  40. 40.If 9x + 18 = 7x + 22, what is x? (a) 20 (b) 3 (c) 2 (d) 4

Answer key

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

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