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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 784 · 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 x/2 + 15 = 24, what is x? (a) 9 (b) 18 (c) 33 (d) 78
  2. 2.If 7x − 45 = 4, what is x? (a) 8 (b) 6 (c) 7 (d) 49
  3. 3.If 2x + 16 = 20, what is x? (a) 18 (b) 4 (c) 3 (d) 2
  4. 4.If 7x + 8 = 36, what is x? (a) 3 (b) 28 (c) 5 (d) 4
  5. 5.If 9x − 11 = 25, what is x? (a) 4 (b) 3 (c) 5 (d) 36
  6. 6.If 5x + 2 = 2x + 8, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  7. 7.If x/6 + 15 = 20, what is x? (a) 30 (b) 210 (c) 5 (d) 105
  8. 8.If 9x + 14 = 4x + 19, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  9. 9.If 9x + 1 = 46, what is x? (a) 6 (b) 45 (c) 4 (d) 5
  10. 10.If x/5 + 1 = 6, what is x? (a) 25 (b) 35 (c) 29 (d) 5
  11. 11.If 4x + 21 = 69, what is x? (a) 13 (b) 12 (c) 11 (d) 48
  12. 12.If 6x + 13 = 5x + 21, what is x? (a) 8 (b) 9 (c) 34 (d) 10
  13. 13.If 4x − 3 = 5, what is x? (a) 1 (b) 2 (c) 3 (d) 8
  14. 14.If 3x + 12 = 2x + 17, what is x? (a) 29 (b) 1 (c) 5 (d) 6
  15. 15.If 5x + 2 = x + 50, what is x? (a) 8 (b) 14 (c) 12 (d) 13
  16. 16.If 8x + 1 = 113, what is x? (a) 13 (b) 15 (c) 112 (d) 14
  17. 17.If 3x − 8 = 4, what is x? (a) 3 (b) 4 (c) 5 (d) 12
  18. 18.If 4x − 1 = 11, what is x? (a) 2 (b) 3 (c) 4 (d) 12
  19. 19.If x/5 + 3 = 11, what is x? (a) 52 (b) 8 (c) 40 (d) 70
  20. 20.If x/4 + 4 = 16, what is x? (a) 12 (b) 80 (c) 60 (d) 48
  21. 21.If 2x − 15 = 1, what is x? (a) 9 (b) 7 (c) 8 (d) 16
  22. 22.If 3x + 1 = 37, what is x? (a) 13 (b) 36 (c) 12 (d) 11
  23. 23.If 5x + 23 = 48, what is x? (a) 5 (b) 4 (c) 6 (d) 25
  24. 24.If 4x + 29 = 49, what is x? (a) 5 (b) 20 (c) 4 (d) 6
  25. 25.If 9x + 2 = 83, what is x? (a) 10 (b) 81 (c) 8 (d) 9
  26. 26.If 7x + 14 = 49, what is x? (a) 35 (b) 9 (c) 6 (d) 5
  27. 27.If 3x + 4 = x + 26, what is x? (a) 11 (b) 12 (c) 13 (d) 15
  28. 28.If 5x − 2 = 73, what is x? (a) 14 (b) 15 (c) 75 (d) 16
  29. 29.If x/5 + 4 = 14, what is x? (a) 10 (b) 66 (c) 90 (d) 50
  30. 30.If x/3 + 13 = 15, what is x? (a) 2 (b) 32 (c) 84 (d) 6
  31. 31.If 4x + 12 = 3x + 18, what is x? (a) 30 (b) 7 (c) 6 (d) 8
  32. 32.If 3x + 21 = 27, what is x? (a) 6 (b) 16 (c) 3 (d) 2
  33. 33.If 2x + 1 = 25, what is x? (a) 12 (b) 11 (c) 13 (d) 24
  34. 34.If x/3 + 3 = 5, what is x? (a) 24 (b) 2 (c) 12 (d) 6
  35. 35.If 2x + 9 = 15, what is x? (a) 12 (b) 4 (c) 6 (d) 3
  36. 36.If 6x + 17 = 29, what is x? (a) 1 (b) 2 (c) 3 (d) 12
  37. 37.If x/6 + 10 = 12, what is x? (a) 2 (b) 62 (c) 12 (d) 132
  38. 38.If x/5 + 2 = 6, what is x? (a) 28 (b) 20 (c) 40 (d) 4
  39. 39.If 6x + 14 = 50, what is x? (a) 7 (b) 6 (c) 5 (d) 36
  40. 40.If 6x − 18 = 6, what is x? (a) 4 (b) 3 (c) 5 (d) 24

Answer key

  1. 18
  2. 7
  3. 2
  4. 4
  5. 4
  6. 2
  7. 30
  8. 1
  9. 5
  10. 25
  11. 12
  12. 8
  13. 2
  14. 5
  15. 12
  16. 14
  17. 4
  18. 3
  19. 40
  20. 48
  21. 8
  22. 12
  23. 5
  24. 5
  25. 9
  26. 5
  27. 11
  28. 15
  29. 50
  30. 6
  31. 6
  32. 2
  33. 12
  34. 6
  35. 3
  36. 2
  37. 12
  38. 20
  39. 6
  40. 4

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