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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 534 · 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 2x + 28 = 44, what is x? (a) 8 (b) 9 (c) 16 (d) 36
  2. 2.If 7x + 28 = 112, what is x? (a) 12 (b) 20 (c) 84 (d) 13
  3. 3.If 6x + 11 = 3x + 14, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  4. 4.If 7x + 1 = 6x + 5, what is x? (a) 6 (b) 4 (c) 3 (d) 5
  5. 5.If x/2 + 10 = 21, what is x? (a) 62 (b) 22 (c) 32 (d) 11
  6. 6.If 8x − 87 = 1, what is x? (a) 88 (b) 11 (c) 12 (d) 10
  7. 7.If 5x + 16 = 3x + 40, what is x? (a) 28 (b) 12 (c) 3 (d) 13
  8. 8.If 6x − 53 = 25, what is x? (a) 12 (b) 13 (c) 78 (d) 14
  9. 9.If 7x + 5 = 2x + 15, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  10. 10.If 8x − 103 = 17, what is x? (a) 14 (b) 16 (c) 15 (d) 120
  11. 11.If x/6 + 3 = 8, what is x? (a) 5 (b) 45 (c) 66 (d) 30
  12. 12.If 2x + 20 = 24, what is x? (a) 22 (b) 3 (c) 2 (d) 4
  13. 13.If x/2 + 2 = 10, what is x? (a) 16 (b) 24 (c) 18 (d) 8
  14. 14.If 3x − 41 = 1, what is x? (a) 13 (b) 14 (c) 15 (d) 42
  15. 15.If 4x + 2 = 14, what is x? (a) 2 (b) 12 (c) 3 (d) 4
  16. 16.If 8x + 14 = 7x + 25, what is x? (a) 12 (b) 13 (c) 11 (d) 39
  17. 17.If 7x + 10 = 2x + 45, what is x? (a) 8 (b) 9 (c) 11 (d) 7
  18. 18.If 9x − 54 = 45, what is x? (a) 10 (b) 99 (c) 11 (d) 12
  19. 19.If x/3 + 6 = 12, what is x? (a) 54 (b) 30 (c) 18 (d) 6
  20. 20.If 6x + 14 = 2x + 50, what is x? (a) 10 (b) 9 (c) 11 (d) 16
  21. 21.If 5x − 4 = 31, what is x? (a) 35 (b) 7 (c) 6 (d) 8
  22. 22.If 8x − 11 = 5, what is x? (a) 1 (b) 16 (c) 2 (d) 3
  23. 23.If 9x + 17 = 3x + 41, what is x? (a) 2 (b) 5 (c) 6 (d) 4
  24. 24.If x/5 + 4 = 12, what is x? (a) 56 (b) 40 (c) 80 (d) 8
  25. 25.If 9x + 30 = 138, what is x? (a) 108 (b) 11 (c) 12 (d) 13
  26. 26.If 9x + 16 = 4x + 66, what is x? (a) 11 (b) 10 (c) 12 (d) 9
  27. 27.If 8x + 15 = 135, what is x? (a) 15 (b) 16 (c) 14 (d) 120
  28. 28.If 8x + 2 = 2x + 14, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  29. 29.If 3x + 13 = x + 31, what is x? (a) 11 (b) 10 (c) 9 (d) 22
  30. 30.If 5x + 29 = 104, what is x? (a) 16 (b) 75 (c) 14 (d) 15
  31. 31.If 9x + 13 = 8x + 25, what is x? (a) 13 (b) 12 (c) 38 (d) 14
  32. 32.If x/2 + 6 = 16, what is x? (a) 44 (b) 26 (c) 20 (d) 10
  33. 33.If 5x + 5 = 55, what is x? (a) 10 (b) 12 (c) 50 (d) 11
  34. 34.If 6x + 16 = x + 61, what is x? (a) 11 (b) 8 (c) 10 (d) 9
  35. 35.If 7x + 23 = 51, what is x? (a) 3 (b) 5 (c) 28 (d) 4
  36. 36.If 5x + 18 = 58, what is x? (a) 7 (b) 9 (c) 8 (d) 40
  37. 37.If 9x + 11 = 5x + 59, what is x? (a) 12 (b) 11 (c) 13 (d) 14
  38. 38.If x/2 + 5 = 14, what is x? (a) 38 (b) 23 (c) 18 (d) 9
  39. 39.If 5x + 11 = 3x + 19, what is x? (a) 15 (b) 1 (c) 4 (d) 5
  40. 40.If 7x + 13 = 48, what is x? (a) 6 (b) 4 (c) 5 (d) 35

Answer key

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

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