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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 778 · 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 8x − 9 = 31, what is x? (a) 5 (b) 4 (c) 6 (d) 40
  2. 2.If x/4 + 15 = 21, what is x? (a) 69 (b) 24 (c) 6 (d) 144
  3. 3.If x/6 + 4 = 10, what is x? (a) 56 (b) 36 (c) 6 (d) 84
  4. 4.If 6x + 12 = 3x + 21, what is x? (a) 1 (b) 11 (c) 4 (d) 3
  5. 5.If 7x + 10 = 5x + 24, what is x? (a) 17 (b) 9 (c) 7 (d) 8
  6. 6.If 2x − 5 = 3, what is x? (a) 5 (b) 8 (c) 3 (d) 4
  7. 7.If 7x − 82 = 16, what is x? (a) 98 (b) 15 (c) 14 (d) 13
  8. 8.If 3x + 10 = 43, what is x? (a) 33 (b) 12 (c) 10 (d) 11
  9. 9.If 3x + 1 = 2x + 8, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  10. 10.If 2x + 30 = 38, what is x? (a) 4 (b) 8 (c) 34 (d) 5
  11. 11.If 4x + 1 = 9, what is x? (a) 3 (b) 2 (c) 1 (d) 8
  12. 12.If x/3 + 10 = 19, what is x? (a) 47 (b) 9 (c) 87 (d) 27
  13. 13.If x/4 + 2 = 14, what is x? (a) 48 (b) 54 (c) 12 (d) 64
  14. 14.If 2x + 29 = 37, what is x? (a) 8 (b) 4 (c) 5 (d) 33
  15. 15.If x/4 + 5 = 17, what is x? (a) 63 (b) 48 (c) 88 (d) 12
  16. 16.If 3x − 15 = 18, what is x? (a) 1 (b) 12 (c) 33 (d) 11
  17. 17.If x/6 + 15 = 22, what is x? (a) 7 (b) 117 (c) 222 (d) 42
  18. 18.If 6x + 8 = 68, what is x? (a) 11 (b) 10 (c) 9 (d) 60
  19. 19.If 3x + 25 = 52, what is x? (a) 9 (b) 8 (c) 27 (d) 10
  20. 20.If 7x + 2 = 65, what is x? (a) 63 (b) 10 (c) 9 (d) 8
  21. 21.If x/2 + 8 = 13, what is x? (a) 42 (b) 18 (c) 5 (d) 10
  22. 22.If 4x + 22 = 34, what is x? (a) 4 (b) 14 (c) 12 (d) 3
  23. 23.If 3x + 15 = x + 25, what is x? (a) 5 (b) 6 (c) 7 (d) 20
  24. 24.If x/3 + 10 = 15, what is x? (a) 35 (b) 75 (c) 5 (d) 15
  25. 25.If 9x + 12 = x + 52, what is x? (a) 4 (b) 6 (c) 8 (d) 5
  26. 26.If 5x + 7 = 4x + 11, what is x? (a) 6 (b) 18 (c) 4 (d) 5
  27. 27.If 6x + 10 = 2x + 50, what is x? (a) 5 (b) 11 (c) 15 (d) 10
  28. 28.If 8x + 13 = 53, what is x? (a) 4 (b) 5 (c) 6 (d) 40
  29. 29.If 3x − 12 = 3, what is x? (a) 6 (b) 4 (c) 5 (d) 15
  30. 30.If 3x + 4 = 31, what is x? (a) 9 (b) 8 (c) 10 (d) 27
  31. 31.If 3x + 19 = 55, what is x? (a) 11 (b) 36 (c) 12 (d) 13
  32. 32.If 2x + 6 = 28, what is x? (a) 17 (b) 12 (c) 11 (d) 22
  33. 33.If 9x + 5 = 104, what is x? (a) 12 (b) 10 (c) 99 (d) 11
  34. 34.If x/5 + 10 = 18, what is x? (a) 40 (b) 8 (c) 140 (d) 80
  35. 35.If 2x − 3 = 3, what is x? (a) 6 (b) 3 (c) 4 (d) 2
  36. 36.If 4x − 17 = 3, what is x? (a) 6 (b) 5 (c) 4 (d) 20
  37. 37.If 8x + 3 = 83, what is x? (a) 10 (b) 11 (c) 9 (d) 80
  38. 38.If x/2 + 8 = 15, what is x? (a) 46 (b) 14 (c) 22 (d) 7
  39. 39.If 3x + 8 = 50, what is x? (a) 13 (b) 15 (c) 42 (d) 14
  40. 40.If 6x + 5 = 95, what is x? (a) 90 (b) 15 (c) 16 (d) 14

Answer key

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

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