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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 259 · 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 4x + 8 = 2x + 14, what is x? (a) 11 (b) 4 (c) 3 (d) 1
  2. 2.If x/2 + 5 = 13, what is x? (a) 36 (b) 16 (c) 21 (d) 8
  3. 3.If x/4 + 8 = 13, what is x? (a) 44 (b) 20 (c) 5 (d) 84
  4. 4.If 9x + 15 = 132, what is x? (a) 14 (b) 12 (c) 13 (d) 117
  5. 5.If 3x − 11 = 7, what is x? (a) 7 (b) 18 (c) 6 (d) 5
  6. 6.If x/3 + 15 = 19, what is x? (a) 102 (b) 12 (c) 42 (d) 4
  7. 7.If x/5 + 2 = 9, what is x? (a) 43 (b) 7 (c) 35 (d) 55
  8. 8.If 5x − 52 = 8, what is x? (a) 13 (b) 11 (c) 12 (d) 60
  9. 9.If 3x − 3 = 3, what is x? (a) 1 (b) 2 (c) 3 (d) 6
  10. 10.If x/5 + 14 = 17, what is x? (a) 15 (b) 3 (c) 155 (d) 71
  11. 11.If x/6 + 8 = 12, what is x? (a) 4 (b) 120 (c) 24 (d) 64
  12. 12.If x/4 + 1 = 10, what is x? (a) 9 (b) 39 (c) 36 (d) 44
  13. 13.If 5x + 15 = 30, what is x? (a) 9 (b) 15 (c) 3 (d) 4
  14. 14.If 5x − 25 = 35, what is x? (a) 12 (b) 60 (c) 2 (d) 13
  15. 15.If x/2 + 10 = 14, what is x? (a) 4 (b) 48 (c) 18 (d) 8
  16. 16.If 6x − 36 = 36, what is x? (a) 72 (b) 11 (c) 13 (d) 12
  17. 17.If 7x + 19 = x + 55, what is x? (a) 8 (b) 5 (c) 6 (d) 7
  18. 18.If x/6 + 8 = 15, what is x? (a) 82 (b) 7 (c) 138 (d) 42
  19. 19.If 3x + 15 = 39, what is x? (a) 8 (b) 9 (c) 24 (d) 18
  20. 20.If 4x + 5 = 29, what is x? (a) 7 (b) 5 (c) 24 (d) 6
  21. 21.If 8x − 7 = 33, what is x? (a) 40 (b) 4 (c) 5 (d) 6
  22. 22.If 8x + 6 = 3x + 11, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  23. 23.If 2x − 6 = 8, what is x? (a) 7 (b) 14 (c) 1 (d) 8
  24. 24.If x/4 + 13 = 18, what is x? (a) 124 (b) 5 (c) 20 (d) 59
  25. 25.If 7x + 24 = 80, what is x? (a) 9 (b) 7 (c) 56 (d) 8
  26. 26.If 8x + 7 = 47, what is x? (a) 40 (b) 5 (c) 6 (d) 4
  27. 27.If 8x + 18 = 74, what is x? (a) 56 (b) 7 (c) 8 (d) 6
  28. 28.If x/2 + 7 = 18, what is x? (a) 50 (b) 22 (c) 11 (d) 29
  29. 29.If x/5 + 3 = 5, what is x? (a) 10 (b) 2 (c) 22 (d) 40
  30. 30.If 8x + 9 = 5x + 39, what is x? (a) 10 (b) 11 (c) 16 (d) 12
  31. 31.If x/6 + 8 = 10, what is x? (a) 52 (b) 2 (c) 12 (d) 108
  32. 32.If 7x + 1 = x + 55, what is x? (a) 10 (b) 9 (c) 8 (d) 11
  33. 33.If 6x − 39 = 15, what is x? (a) 9 (b) 54 (c) 10 (d) 8
  34. 34.If 9x + 1 = 2x + 85, what is x? (a) 11 (b) 13 (c) 14 (d) 12
  35. 35.If 2x − 2 = 4, what is x? (a) 6 (b) 1 (c) 4 (d) 3
  36. 36.If x/3 + 7 = 14, what is x? (a) 7 (b) 21 (c) 63 (d) 35
  37. 37.If 3x − 3 = 15, what is x? (a) 4 (b) 18 (c) 7 (d) 6
  38. 38.If 3x − 10 = 8, what is x? (a) 5 (b) 18 (c) 6 (d) 7
  39. 39.If 8x + 28 = 124, what is x? (a) 13 (b) 96 (c) 19 (d) 12
  40. 40.If 6x − 25 = 5, what is x? (a) 6 (b) 30 (c) 5 (d) 4

Answer key

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

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