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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 756 · 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 5x − 4 = 21, what is x? (a) 4 (b) 5 (c) 25 (d) 6
  2. 2.If 3x − 43 = 2, what is x? (a) 14 (b) 45 (c) 16 (d) 15
  3. 3.If 4x + 8 = 3x + 12, what is x? (a) 6 (b) 5 (c) 4 (d) 20
  4. 4.If 3x + 16 = 2x + 17, what is x? (a) 1 (b) 2 (c) 33 (d) 3
  5. 5.If x/5 + 13 = 16, what is x? (a) 145 (b) 67 (c) 15 (d) 3
  6. 6.If 9x + 14 = 95, what is x? (a) 9 (b) 81 (c) 8 (d) 10
  7. 7.If x/2 + 10 = 12, what is x? (a) 2 (b) 44 (c) 14 (d) 4
  8. 8.If x/6 + 11 = 23, what is x? (a) 204 (b) 127 (c) 72 (d) 12
  9. 9.If x/5 + 1 = 5, what is x? (a) 20 (b) 4 (c) 24 (d) 30
  10. 10.If 2x + 6 = 34, what is x? (a) 28 (b) 15 (c) 14 (d) 20
  11. 11.If 9x − 66 = 15, what is x? (a) 9 (b) 81 (c) 8 (d) 10
  12. 12.If x/3 + 14 = 22, what is x? (a) 52 (b) 108 (c) 8 (d) 24
  13. 13.If 9x + 10 = 118, what is x? (a) 12 (b) 108 (c) 11 (d) 13
  14. 14.If 5x + 25 = 90, what is x? (a) 65 (b) 13 (c) 23 (d) 14
  15. 15.If x/3 + 10 = 15, what is x? (a) 5 (b) 75 (c) 35 (d) 15
  16. 16.If 4x + 10 = 3x + 19, what is x? (a) 29 (b) 11 (c) 10 (d) 9
  17. 17.If x/3 + 11 = 16, what is x? (a) 15 (b) 5 (c) 37 (d) 81
  18. 18.If x/3 + 10 = 13, what is x? (a) 9 (b) 69 (c) 3 (d) 29
  19. 19.If 5x + 3 = 73, what is x? (a) 14 (b) 70 (c) 15 (d) 13
  20. 20.If 3x + 14 = 2x + 18, what is x? (a) 5 (b) 4 (c) 6 (d) 32
  21. 21.If x/2 + 7 = 15, what is x? (a) 23 (b) 16 (c) 44 (d) 8
  22. 22.If 3x + 25 = 52, what is x? (a) 10 (b) 8 (c) 27 (d) 9
  23. 23.If 2x − 12 = 4, what is x? (a) 16 (b) 7 (c) 8 (d) 9
  24. 24.If x/5 + 7 = 16, what is x? (a) 9 (b) 73 (c) 45 (d) 115
  25. 25.If 4x + 6 = x + 18, what is x? (a) 6 (b) 8 (c) 5 (d) 4
  26. 26.If 5x − 9 = 1, what is x? (a) 2 (b) 1 (c) 10 (d) 3
  27. 27.If 9x + 24 = 132, what is x? (a) 11 (b) 108 (c) 13 (d) 12
  28. 28.If 7x + 27 = 132, what is x? (a) 16 (b) 105 (c) 14 (d) 15
  29. 29.If x/6 + 9 = 16, what is x? (a) 87 (b) 150 (c) 42 (d) 7
  30. 30.If 8x + 3 = 7x + 4, what is x? (a) 2 (b) 1 (c) 3 (d) 7
  31. 31.If x/2 + 15 = 17, what is x? (a) 4 (b) 19 (c) 2 (d) 64
  32. 32.If x/2 + 4 = 11, what is x? (a) 14 (b) 7 (c) 18 (d) 30
  33. 33.If 5x + 17 = 57, what is x? (a) 7 (b) 40 (c) 8 (d) 9
  34. 34.If 7x − 12 = 86, what is x? (a) 14 (b) 13 (c) 98 (d) 15
  35. 35.If 6x + 5 = x + 25, what is x? (a) 5 (b) 3 (c) 4 (d) 6
  36. 36.If 4x − 24 = 8, what is x? (a) 7 (b) 32 (c) 8 (d) 9
  37. 37.If 3x + 11 = x + 13, what is x? (a) 3 (b) 12 (c) 2 (d) 1
  38. 38.If 8x + 10 = 3x + 25, what is x? (a) 4 (b) 3 (c) 5 (d) 7
  39. 39.If 2x − 5 = 1, what is x? (a) 2 (b) 4 (c) 6 (d) 3
  40. 40.If x/5 + 15 = 19, what is x? (a) 80 (b) 4 (c) 170 (d) 20

Answer key

  1. 5
  2. 15
  3. 4
  4. 1
  5. 15
  6. 9
  7. 4
  8. 72
  9. 20
  10. 14
  11. 9
  12. 24
  13. 12
  14. 13
  15. 15
  16. 9
  17. 15
  18. 9
  19. 14
  20. 4
  21. 16
  22. 9
  23. 8
  24. 45
  25. 4
  26. 2
  27. 12
  28. 15
  29. 42
  30. 1
  31. 4
  32. 14
  33. 8
  34. 14
  35. 4
  36. 8
  37. 1
  38. 3
  39. 3
  40. 20

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