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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 170 · 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 x/5 + 1 = 13, what is x? (a) 60 (b) 64 (c) 70 (d) 12
  2. 2.If 8x + 8 = 104, what is x? (a) 14 (b) 12 (c) 13 (d) 96
  3. 3.If 6x + 4 = 2x + 20, what is x? (a) 6 (b) 5 (c) 2 (d) 4
  4. 4.If 9x + 2 = x + 58, what is x? (a) 9 (b) 7 (c) 8 (d) 6
  5. 5.If 8x − 80 = 24, what is x? (a) 13 (b) 12 (c) 104 (d) 14
  6. 6.If 8x + 8 = 40, what is x? (a) 5 (b) 32 (c) 6 (d) 4
  7. 7.If 6x + 1 = 2x + 17, what is x? (a) 2 (b) 5 (c) 6 (d) 4
  8. 8.If x/2 + 2 = 9, what is x? (a) 16 (b) 7 (c) 22 (d) 14
  9. 9.If x/6 + 1 = 3, what is x? (a) 2 (b) 24 (c) 12 (d) 17
  10. 10.If 7x + 28 = 133, what is x? (a) 23 (b) 15 (c) 16 (d) 105
  11. 11.If x/6 + 10 = 17, what is x? (a) 7 (b) 162 (c) 42 (d) 92
  12. 12.If x/6 + 9 = 16, what is x? (a) 150 (b) 42 (c) 87 (d) 7
  13. 13.If 4x − 33 = 11, what is x? (a) 10 (b) 11 (c) 44 (d) 12
  14. 14.If x/3 + 10 = 16, what is x? (a) 78 (b) 6 (c) 38 (d) 18
  15. 15.If 6x − 27 = 27, what is x? (a) 8 (b) 9 (c) 10 (d) 54
  16. 16.If 6x + 4 = 2x + 36, what is x? (a) 10 (b) 4 (c) 8 (d) 9
  17. 17.If x/5 + 13 = 20, what is x? (a) 165 (b) 87 (c) 35 (d) 7
  18. 18.If x/2 + 8 = 20, what is x? (a) 24 (b) 32 (c) 56 (d) 12
  19. 19.If 6x + 8 = 62, what is x? (a) 10 (b) 54 (c) 8 (d) 9
  20. 20.If 4x − 32 = 16, what is x? (a) 12 (b) 13 (c) 11 (d) 48
  21. 21.If 7x − 5 = 9, what is x? (a) 1 (b) 3 (c) 14 (d) 2
  22. 22.If 7x + 22 = 50, what is x? (a) 3 (b) 28 (c) 5 (d) 4
  23. 23.If 5x + 7 = 37, what is x? (a) 30 (b) 7 (c) 5 (d) 6
  24. 24.If x/4 + 7 = 10, what is x? (a) 68 (b) 3 (c) 33 (d) 12
  25. 25.If 2x − 15 = 5, what is x? (a) 10 (b) 9 (c) 20 (d) 11
  26. 26.If 8x + 1 = 73, what is x? (a) 10 (b) 8 (c) 9 (d) 72
  27. 27.If 3x − 8 = 10, what is x? (a) 6 (b) 18 (c) 5 (d) 7
  28. 28.If 4x − 17 = 3, what is x? (a) 6 (b) 5 (c) 20 (d) 4
  29. 29.If 2x − 5 = 3, what is x? (a) 3 (b) 4 (c) 8 (d) 5
  30. 30.If 4x + 20 = x + 23, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  31. 31.If 6x + 5 = 65, what is x? (a) 60 (b) 9 (c) 11 (d) 10
  32. 32.If x/2 + 3 = 9, what is x? (a) 24 (b) 6 (c) 12 (d) 15
  33. 33.If x/5 + 12 = 20, what is x? (a) 160 (b) 8 (c) 88 (d) 40
  34. 34.If x/4 + 6 = 10, what is x? (a) 64 (b) 4 (c) 16 (d) 34
  35. 35.If 8x + 4 = 3x + 39, what is x? (a) 8 (b) 7 (c) 9 (d) 6
  36. 36.If 6x − 45 = 45, what is x? (a) 90 (b) 16 (c) 14 (d) 15
  37. 37.If 4x + 12 = x + 48, what is x? (a) 20 (b) 12 (c) 14 (d) 13
  38. 38.If 7x − 49 = 21, what is x? (a) 9 (b) 11 (c) 70 (d) 10
  39. 39.If 2x − 3 = 19, what is x? (a) 12 (b) 22 (c) 11 (d) 8
  40. 40.If 3x + 10 = x + 22, what is x? (a) 3 (b) 6 (c) 16 (d) 7

Answer key

  1. 60
  2. 12
  3. 4
  4. 7
  5. 13
  6. 4
  7. 4
  8. 14
  9. 12
  10. 15
  11. 42
  12. 42
  13. 11
  14. 18
  15. 9
  16. 8
  17. 35
  18. 24
  19. 9
  20. 12
  21. 2
  22. 4
  23. 6
  24. 12
  25. 10
  26. 9
  27. 6
  28. 5
  29. 4
  30. 1
  31. 10
  32. 12
  33. 40
  34. 16
  35. 7
  36. 15
  37. 12
  38. 10
  39. 11
  40. 6

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