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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 54 · 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 3x + 21 = 63, what is x? (a) 15 (b) 14 (c) 42 (d) 28
  2. 2.If x/5 + 12 = 24, what is x? (a) 12 (b) 60 (c) 108 (d) 180
  3. 3.If 3x − 17 = 1, what is x? (a) 6 (b) 18 (c) 7 (d) 5
  4. 4.If 6x + 1 = 5x + 11, what is x? (a) 10 (b) 9 (c) 12 (d) 11
  5. 5.If 4x − 14 = 6, what is x? (a) 6 (b) 4 (c) 5 (d) 20
  6. 6.If 6x − 7 = 11, what is x? (a) 2 (b) 4 (c) 18 (d) 3
  7. 7.If 9x − 68 = 58, what is x? (a) 15 (b) 13 (c) 126 (d) 14
  8. 8.If 8x − 92 = 12, what is x? (a) 104 (b) 13 (c) 14 (d) 12
  9. 9.If 2x − 2 = 12, what is x? (a) 14 (b) 5 (c) 8 (d) 7
  10. 10.If 2x − 17 = 11, what is x? (a) 14 (b) 13 (c) 15 (d) 28
  11. 11.If 5x − 14 = 31, what is x? (a) 9 (b) 10 (c) 8 (d) 45
  12. 12.If 4x + 29 = 61, what is x? (a) 7 (b) 9 (c) 8 (d) 32
  13. 13.If 8x + 4 = 6x + 26, what is x? (a) 11 (b) 15 (c) 12 (d) 13
  14. 14.If 8x − 9 = 23, what is x? (a) 3 (b) 5 (c) 4 (d) 32
  15. 15.If x/5 + 8 = 12, what is x? (a) 52 (b) 4 (c) 20 (d) 100
  16. 16.If 7x + 26 = 103, what is x? (a) 11 (b) 77 (c) 12 (d) 10
  17. 17.If 2x − 1 = 9, what is x? (a) 6 (b) 5 (c) 4 (d) 10
  18. 18.If 3x + 26 = 44, what is x? (a) 7 (b) 6 (c) 5 (d) 18
  19. 19.If 6x − 33 = 3, what is x? (a) 5 (b) 36 (c) 7 (d) 6
  20. 20.If 5x − 42 = 13, what is x? (a) 10 (b) 11 (c) 55 (d) 12
  21. 21.If x/5 + 4 = 13, what is x? (a) 61 (b) 9 (c) 45 (d) 85
  22. 22.If 9x − 84 = 24, what is x? (a) 13 (b) 11 (c) 12 (d) 108
  23. 23.If x/6 + 2 = 7, what is x? (a) 40 (b) 54 (c) 5 (d) 30
  24. 24.If 9x + 23 = 131, what is x? (a) 12 (b) 13 (c) 11 (d) 108
  25. 25.If x/2 + 12 = 24, what is x? (a) 12 (b) 72 (c) 24 (d) 36
  26. 26.If 3x + 17 = 56, what is x? (a) 14 (b) 39 (c) 13 (d) 12
  27. 27.If x/3 + 13 = 17, what is x? (a) 90 (b) 4 (c) 38 (d) 12
  28. 28.If 6x + 3 = 75, what is x? (a) 72 (b) 11 (c) 12 (d) 13
  29. 29.If x/3 + 15 = 22, what is x? (a) 21 (b) 51 (c) 7 (d) 111
  30. 30.If 2x − 12 = 14, what is x? (a) 13 (b) 14 (c) 26 (d) 1
  31. 31.If 8x + 9 = 129, what is x? (a) 14 (b) 16 (c) 120 (d) 15
  32. 32.If 4x + 30 = 74, what is x? (a) 12 (b) 44 (c) 26 (d) 11
  33. 33.If 5x + 17 = 2x + 20, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  34. 34.If 9x + 2 = 3x + 26, what is x? (a) 4 (b) 5 (c) 2 (d) 6
  35. 35.If 2x + 17 = 27, what is x? (a) 22 (b) 5 (c) 10 (d) 6
  36. 36.If 8x + 10 = 90, what is x? (a) 9 (b) 80 (c) 11 (d) 10
  37. 37.If 5x + 13 = 28, what is x? (a) 3 (b) 15 (c) 2 (d) 4
  38. 38.If 6x − 16 = 2, what is x? (a) 3 (b) 2 (c) 4 (d) 18
  39. 39.If x/4 + 14 = 22, what is x? (a) 144 (b) 8 (c) 32 (d) 74
  40. 40.If x/5 + 8 = 13, what is x? (a) 105 (b) 5 (c) 57 (d) 25

Answer key

  1. 14
  2. 60
  3. 6
  4. 10
  5. 5
  6. 3
  7. 14
  8. 13
  9. 7
  10. 14
  11. 9
  12. 8
  13. 11
  14. 4
  15. 20
  16. 11
  17. 5
  18. 6
  19. 6
  20. 11
  21. 45
  22. 12
  23. 30
  24. 12
  25. 24
  26. 13
  27. 12
  28. 12
  29. 21
  30. 13
  31. 15
  32. 11
  33. 1
  34. 4
  35. 5
  36. 10
  37. 3
  38. 3
  39. 32
  40. 25

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