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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 40 · 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 9x + 20 = 101, what is x? (a) 10 (b) 81 (c) 9 (d) 8
  2. 2.If 2x − 1 = 21, what is x? (a) 22 (b) 12 (c) 11 (d) 10
  3. 3.If 9x + 1 = 118, what is x? (a) 12 (b) 117 (c) 14 (d) 13
  4. 4.If x/3 + 12 = 15, what is x? (a) 81 (b) 3 (c) 9 (d) 33
  5. 5.If 3x + 13 = 2x + 15, what is x? (a) 28 (b) 3 (c) 4 (d) 2
  6. 6.If x/2 + 3 = 5, what is x? (a) 4 (b) 16 (c) 2 (d) 7
  7. 7.If 5x + 10 = 70, what is x? (a) 16 (b) 13 (c) 12 (d) 60
  8. 8.If 7x + 7 = 21, what is x? (a) 2 (b) 3 (c) 14 (d) 4
  9. 9.If 4x − 11 = 37, what is x? (a) 11 (b) 48 (c) 13 (d) 12
  10. 10.If 4x + 19 = 51, what is x? (a) 32 (b) 7 (c) 9 (d) 8
  11. 11.If x/5 + 9 = 13, what is x? (a) 56 (b) 110 (c) 20 (d) 4
  12. 12.If 9x + 16 = 2x + 44, what is x? (a) 5 (b) 3 (c) 4 (d) 6
  13. 13.If 3x + 3 = 2x + 10, what is x? (a) 13 (b) 7 (c) 9 (d) 8
  14. 14.If 4x + 24 = 72, what is x? (a) 12 (b) 48 (c) 13 (d) 24
  15. 15.If 4x + 6 = 54, what is x? (a) 13 (b) 15 (c) 48 (d) 12
  16. 16.If 3x + 30 = 54, what is x? (a) 24 (b) 9 (c) 28 (d) 8
  17. 17.If x/5 + 11 = 21, what is x? (a) 160 (b) 94 (c) 10 (d) 50
  18. 18.If x/4 + 10 = 13, what is x? (a) 3 (b) 92 (c) 12 (d) 42
  19. 19.If 2x + 8 = 14, what is x? (a) 6 (b) 4 (c) 11 (d) 3
  20. 20.If 3x + 10 = 2x + 14, what is x? (a) 24 (b) 5 (c) 6 (d) 4
  21. 21.If x/6 + 8 = 13, what is x? (a) 30 (b) 70 (c) 5 (d) 126
  22. 22.If 7x + 3 = 2x + 28, what is x? (a) 6 (b) 7 (c) 4 (d) 5
  23. 23.If 5x + 13 = 4x + 16, what is x? (a) 5 (b) 4 (c) 3 (d) 29
  24. 24.If 6x + 4 = 94, what is x? (a) 90 (b) 14 (c) 15 (d) 16
  25. 25.If x/5 + 7 = 15, what is x? (a) 68 (b) 8 (c) 40 (d) 110
  26. 26.If 5x − 54 = 16, what is x? (a) 13 (b) 70 (c) 15 (d) 14
  27. 27.If x/3 + 9 = 18, what is x? (a) 27 (b) 45 (c) 81 (d) 9
  28. 28.If x/2 + 5 = 17, what is x? (a) 29 (b) 24 (c) 44 (d) 12
  29. 29.If 8x + 18 = 66, what is x? (a) 6 (b) 5 (c) 7 (d) 48
  30. 30.If 8x + 30 = 142, what is x? (a) 15 (b) 13 (c) 112 (d) 14
  31. 31.If 7x + 21 = 77, what is x? (a) 9 (b) 14 (c) 8 (d) 56
  32. 32.If 6x + 29 = 41, what is x? (a) 2 (b) 1 (c) 12 (d) 3
  33. 33.If x/3 + 6 = 8, what is x? (a) 18 (b) 2 (c) 6 (d) 42
  34. 34.If 5x + 12 = 2x + 15, what is x? (a) 9 (b) 2 (c) 3 (d) 1
  35. 35.If 3x + 5 = 2x + 8, what is x? (a) 4 (b) 5 (c) 3 (d) 13
  36. 36.If 8x + 12 = 4x + 52, what is x? (a) 10 (b) 12 (c) 11 (d) 16
  37. 37.If x/2 + 12 = 23, what is x? (a) 11 (b) 70 (c) 34 (d) 22
  38. 38.If 4x + 9 = 3x + 17, what is x? (a) 26 (b) 10 (c) 8 (d) 9
  39. 39.If 6x − 25 = 23, what is x? (a) 48 (b) 7 (c) 8 (d) 9
  40. 40.If 2x + 13 = 31, what is x? (a) 10 (b) 22 (c) 18 (d) 9

Answer key

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

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