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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 444 · 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 6x + 8 = x + 43, what is x? (a) 9 (b) 8 (c) 7 (d) 5
  2. 2.If x/6 + 11 = 13, what is x? (a) 144 (b) 12 (c) 67 (d) 2
  3. 3.If 2x − 17 = 3, what is x? (a) 10 (b) 20 (c) 11 (d) 9
  4. 4.If 7x + 11 = 4x + 38, what is x? (a) 10 (b) 11 (c) 8 (d) 9
  5. 5.If x/2 + 13 = 24, what is x? (a) 11 (b) 74 (c) 22 (d) 35
  6. 6.If 6x − 20 = 70, what is x? (a) 15 (b) 90 (c) 14 (d) 16
  7. 7.If 6x + 15 = 45, what is x? (a) 30 (b) 6 (c) 5 (d) 10
  8. 8.If 2x + 3 = 21, what is x? (a) 10 (b) 12 (c) 18 (d) 9
  9. 9.If 3x − 28 = 14, what is x? (a) 13 (b) 15 (c) 14 (d) 42
  10. 10.If 6x + 8 = 86, what is x? (a) 78 (b) 13 (c) 12 (d) 14
  11. 11.If 5x − 13 = 7, what is x? (a) 20 (b) 5 (c) 4 (d) 3
  12. 12.If 4x − 10 = 22, what is x? (a) 32 (b) 8 (c) 9 (d) 3
  13. 13.If 7x + 10 = 108, what is x? (a) 14 (b) 13 (c) 15 (d) 98
  14. 14.If 8x − 35 = 13, what is x? (a) 7 (b) 48 (c) 6 (d) 5
  15. 15.If 9x − 38 = 7, what is x? (a) 6 (b) 5 (c) 45 (d) 4
  16. 16.If 4x − 25 = 15, what is x? (a) 40 (b) 10 (c) 11 (d) 9
  17. 17.If 8x − 5 = 51, what is x? (a) 8 (b) 56 (c) 6 (d) 7
  18. 18.If 8x − 6 = 26, what is x? (a) 4 (b) 3 (c) 5 (d) 32
  19. 19.If x/2 + 5 = 8, what is x? (a) 3 (b) 26 (c) 6 (d) 11
  20. 20.If 9x − 53 = 19, what is x? (a) 7 (b) 8 (c) 9 (d) 72
  21. 21.If 6x − 3 = 21, what is x? (a) 4 (b) 5 (c) 24 (d) 3
  22. 22.If 7x + 11 = 6x + 17, what is x? (a) 7 (b) 28 (c) 6 (d) 8
  23. 23.If 4x + 14 = 2x + 28, what is x? (a) 8 (b) 7 (c) 21 (d) 9
  24. 24.If 5x + 5 = 3x + 17, what is x? (a) 7 (b) 11 (c) 6 (d) 8
  25. 25.If 3x + 2 = x + 14, what is x? (a) 3 (b) 7 (c) 8 (d) 6
  26. 26.If 7x + 4 = 2x + 14, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  27. 27.If 9x + 8 = 125, what is x? (a) 117 (b) 13 (c) 14 (d) 12
  28. 28.If 3x + 15 = 33, what is x? (a) 16 (b) 6 (c) 7 (d) 18
  29. 29.If 5x + 6 = 4x + 8, what is x? (a) 14 (b) 4 (c) 3 (d) 2
  30. 30.If x/6 + 15 = 22, what is x? (a) 7 (b) 222 (c) 117 (d) 42
  31. 31.If 7x + 24 = 45, what is x? (a) 3 (b) 21 (c) 4 (d) 2
  32. 32.If x/5 + 13 = 16, what is x? (a) 145 (b) 3 (c) 67 (d) 15
  33. 33.If x/6 + 9 = 12, what is x? (a) 18 (b) 63 (c) 3 (d) 126
  34. 34.If 8x + 1 = 7x + 10, what is x? (a) 9 (b) 11 (c) 10 (d) 8
  35. 35.If 2x − 1 = 3, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  36. 36.If x/2 + 1 = 11, what is x? (a) 21 (b) 10 (c) 20 (d) 24
  37. 37.If 2x + 11 = 21, what is x? (a) 10 (b) 16 (c) 6 (d) 5
  38. 38.If 8x − 4 = 36, what is x? (a) 40 (b) 6 (c) 4 (d) 5
  39. 39.If 4x + 1 = 2x + 9, what is x? (a) 6 (b) 5 (c) 4 (d) 3
  40. 40.If 6x − 5 = 31, what is x? (a) 5 (b) 6 (c) 7 (d) 36

Answer key

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

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