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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 418 · 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 + 6 = 86, what is x? (a) 11 (b) 9 (c) 80 (d) 10
  2. 2.If 4x + 8 = 24, what is x? (a) 16 (b) 4 (c) 8 (d) 5
  3. 3.If 4x + 26 = 34, what is x? (a) 8 (b) 3 (c) 15 (d) 2
  4. 4.If 6x + 5 = 23, what is x? (a) 2 (b) 3 (c) 18 (d) 4
  5. 5.If 9x + 1 = 7x + 21, what is x? (a) 10 (b) 12 (c) 9 (d) 11
  6. 6.If 9x + 2 = 6x + 35, what is x? (a) 13 (b) 10 (c) 12 (d) 11
  7. 7.If 6x + 11 = 35, what is x? (a) 24 (b) 3 (c) 5 (d) 4
  8. 8.If x/6 + 7 = 12, what is x? (a) 65 (b) 114 (c) 30 (d) 5
  9. 9.If 6x − 29 = 1, what is x? (a) 30 (b) 6 (c) 5 (d) 4
  10. 10.If 4x + 14 = 3x + 23, what is x? (a) 37 (b) 11 (c) 10 (d) 9
  11. 11.If x/2 + 14 = 21, what is x? (a) 70 (b) 14 (c) 7 (d) 28
  12. 12.If 3x − 2 = 10, what is x? (a) 4 (b) 3 (c) 12 (d) 5
  13. 13.If 3x − 5 = 37, what is x? (a) 15 (b) 13 (c) 14 (d) 42
  14. 14.If 4x − 51 = 9, what is x? (a) 14 (b) 16 (c) 60 (d) 15
  15. 15.If 3x − 4 = 41, what is x? (a) 15 (b) 16 (c) 14 (d) 45
  16. 16.If x/3 + 1 = 3, what is x? (a) 2 (b) 8 (c) 6 (d) 12
  17. 17.If 9x + 15 = 69, what is x? (a) 54 (b) 5 (c) 6 (d) 7
  18. 18.If x/6 + 3 = 12, what is x? (a) 54 (b) 9 (c) 69 (d) 90
  19. 19.If 4x + 4 = 3x + 5, what is x? (a) 2 (b) 3 (c) 1 (d) 9
  20. 20.If 4x − 3 = 9, what is x? (a) 12 (b) 4 (c) 3 (d) 2
  21. 21.If 2x + 15 = 33, what is x? (a) 10 (b) 24 (c) 9 (d) 18
  22. 22.If x/4 + 2 = 13, what is x? (a) 60 (b) 11 (c) 50 (d) 44
  23. 23.If x/4 + 5 = 13, what is x? (a) 47 (b) 32 (c) 72 (d) 8
  24. 24.If x/5 + 10 = 14, what is x? (a) 4 (b) 20 (c) 120 (d) 60
  25. 25.If 9x + 8 = 2x + 71, what is x? (a) 8 (b) 9 (c) 11 (d) 10
  26. 26.If 7x − 20 = 50, what is x? (a) 70 (b) 9 (c) 11 (d) 10
  27. 27.If 9x + 3 = 57, what is x? (a) 7 (b) 54 (c) 5 (d) 6
  28. 28.If 4x + 2 = x + 38, what is x? (a) 13 (b) 12 (c) 11 (d) 14
  29. 29.If x/5 + 11 = 21, what is x? (a) 94 (b) 160 (c) 50 (d) 10
  30. 30.If 8x − 30 = 74, what is x? (a) 104 (b) 12 (c) 13 (d) 14
  31. 31.If 2x − 2 = 6, what is x? (a) 8 (b) 5 (c) 2 (d) 4
  32. 32.If 3x + 20 = x + 44, what is x? (a) 32 (b) 13 (c) 6 (d) 12
  33. 33.If x/5 + 7 = 12, what is x? (a) 25 (b) 95 (c) 5 (d) 53
  34. 34.If x/3 + 5 = 15, what is x? (a) 10 (b) 40 (c) 60 (d) 30
  35. 35.If 8x + 7 = 39, what is x? (a) 32 (b) 3 (c) 5 (d) 4
  36. 36.If 8x + 2 = 7x + 4, what is x? (a) 6 (b) 2 (c) 4 (d) 3
  37. 37.If 8x + 2 = 5x + 14, what is x? (a) 3 (b) 6 (c) 4 (d) 5
  38. 38.If 5x − 4 = 16, what is x? (a) 3 (b) 4 (c) 5 (d) 20
  39. 39.If 3x − 4 = 2, what is x? (a) 1 (b) 2 (c) 6 (d) 3
  40. 40.If 6x + 15 = 99, what is x? (a) 14 (b) 19 (c) 84 (d) 15

Answer key

  1. 10
  2. 4
  3. 2
  4. 3
  5. 10
  6. 11
  7. 4
  8. 30
  9. 5
  10. 9
  11. 14
  12. 4
  13. 14
  14. 15
  15. 15
  16. 6
  17. 6
  18. 54
  19. 1
  20. 3
  21. 9
  22. 44
  23. 32
  24. 20
  25. 9
  26. 10
  27. 6
  28. 12
  29. 50
  30. 13
  31. 4
  32. 12
  33. 25
  34. 30
  35. 4
  36. 2
  37. 4
  38. 4
  39. 2
  40. 14

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