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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 314 · 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 + 7 = x + 34, what is x? (a) 10 (b) 11 (c) 8 (d) 9
  2. 2.If 8x + 10 = x + 94, what is x? (a) 12 (b) 13 (c) 14 (d) 11
  3. 3.If x/3 + 10 = 18, what is x? (a) 8 (b) 44 (c) 24 (d) 84
  4. 4.If x/2 + 3 = 13, what is x? (a) 10 (b) 23 (c) 20 (d) 32
  5. 5.If 5x + 27 = 42, what is x? (a) 4 (b) 15 (c) 3 (d) 2
  6. 6.If 4x − 37 = 23, what is x? (a) 14 (b) 16 (c) 15 (d) 60
  7. 7.If 9x − 27 = 9, what is x? (a) 5 (b) 3 (c) 4 (d) 36
  8. 8.If 8x + 15 = 135, what is x? (a) 14 (b) 120 (c) 16 (d) 15
  9. 9.If x/3 + 3 = 15, what is x? (a) 54 (b) 42 (c) 36 (d) 12
  10. 10.If 3x + 3 = 24, what is x? (a) 8 (b) 21 (c) 9 (d) 7
  11. 11.If 7x − 34 = 29, what is x? (a) 10 (b) 8 (c) 63 (d) 9
  12. 12.If 2x − 15 = 15, what is x? (a) 14 (b) 15 (c) 16 (d) 30
  13. 13.If 8x + 1 = 17, what is x? (a) 2 (b) 3 (c) 1 (d) 16
  14. 14.If 6x + 6 = 54, what is x? (a) 8 (b) 48 (c) 9 (d) 10
  15. 15.If 7x + 7 = 4x + 25, what is x? (a) 6 (b) 5 (c) 8 (d) 7
  16. 16.If x/2 + 7 = 19, what is x? (a) 12 (b) 24 (c) 52 (d) 31
  17. 17.If 4x + 17 = 2x + 19, what is x? (a) 3 (b) 1 (c) 18 (d) 2
  18. 18.If 7x + 6 = 90, what is x? (a) 13 (b) 11 (c) 84 (d) 12
  19. 19.If 4x + 10 = 2x + 16, what is x? (a) 3 (b) 4 (c) 1 (d) 13
  20. 20.If x/4 + 3 = 9, what is x? (a) 6 (b) 24 (c) 33 (d) 48
  21. 21.If 4x + 4 = 3x + 9, what is x? (a) 7 (b) 6 (c) 13 (d) 5
  22. 22.If 4x + 8 = x + 17, what is x? (a) 2 (b) 5 (c) 4 (d) 3
  23. 23.If 6x + 20 = 2x + 32, what is x? (a) 4 (b) 5 (c) 13 (d) 3
  24. 24.If x/6 + 10 = 15, what is x? (a) 80 (b) 5 (c) 150 (d) 30
  25. 25.If 2x − 5 = 25, what is x? (a) 16 (b) 30 (c) 10 (d) 15
  26. 26.If x/4 + 10 = 22, what is x? (a) 48 (b) 12 (c) 128 (d) 78
  27. 27.If 7x − 35 = 14, what is x? (a) 49 (b) 7 (c) 6 (d) 8
  28. 28.If x/2 + 7 = 14, what is x? (a) 42 (b) 21 (c) 14 (d) 7
  29. 29.If 8x + 13 = x + 41, what is x? (a) 5 (b) 4 (c) 3 (d) 6
  30. 30.If 3x + 14 = 2x + 16, what is x? (a) 4 (b) 3 (c) 30 (d) 2
  31. 31.If x/4 + 12 = 18, what is x? (a) 6 (b) 24 (c) 60 (d) 120
  32. 32.If 2x − 8 = 2, what is x? (a) 4 (b) 5 (c) 10 (d) 6
  33. 33.If 5x − 34 = 16, what is x? (a) 9 (b) 50 (c) 11 (d) 10
  34. 34.If 8x + 14 = x + 91, what is x? (a) 11 (b) 12 (c) 15 (d) 13
  35. 35.If x/2 + 2 = 9, what is x? (a) 14 (b) 16 (c) 7 (d) 22
  36. 36.If x/5 + 6 = 17, what is x? (a) 79 (b) 115 (c) 11 (d) 55
  37. 37.If x/6 + 2 = 6, what is x? (a) 24 (b) 34 (c) 48 (d) 4
  38. 38.If 4x + 4 = 32, what is x? (a) 9 (b) 7 (c) 8 (d) 28
  39. 39.If 3x + 4 = x + 8, what is x? (a) 1 (b) 6 (c) 2 (d) 3
  40. 40.If 3x + 6 = 15, what is x? (a) 7 (b) 9 (c) 3 (d) 4

Answer key

  1. 9
  2. 12
  3. 24
  4. 20
  5. 3
  6. 15
  7. 4
  8. 15
  9. 36
  10. 7
  11. 9
  12. 15
  13. 2
  14. 8
  15. 6
  16. 24
  17. 1
  18. 12
  19. 3
  20. 24
  21. 5
  22. 3
  23. 3
  24. 30
  25. 15
  26. 48
  27. 7
  28. 14
  29. 4
  30. 2
  31. 24
  32. 5
  33. 10
  34. 11
  35. 14
  36. 55
  37. 24
  38. 7
  39. 2
  40. 3

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