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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 705 · 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 + 4 = 32, what is x? (a) 28 (b) 15 (c) 18 (d) 14
  2. 2.If 3x − 4 = 5, what is x? (a) 4 (b) 3 (c) 2 (d) 9
  3. 3.If x/5 + 6 = 14, what is x? (a) 100 (b) 8 (c) 40 (d) 64
  4. 4.If 7x + 8 = x + 74, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  5. 5.If x/2 + 4 = 16, what is x? (a) 28 (b) 12 (c) 24 (d) 40
  6. 6.If 8x + 28 = 124, what is x? (a) 13 (b) 96 (c) 19 (d) 12
  7. 7.If 5x + 9 = 3x + 23, what is x? (a) 16 (b) 8 (c) 7 (d) 9
  8. 8.If 2x + 29 = 39, what is x? (a) 6 (b) 10 (c) 5 (d) 34
  9. 9.If x/2 + 5 = 12, what is x? (a) 34 (b) 19 (c) 14 (d) 7
  10. 10.If 8x + 16 = 2x + 70, what is x? (a) 8 (b) 10 (c) 9 (d) 11
  11. 11.If x/4 + 15 = 17, what is x? (a) 128 (b) 2 (c) 53 (d) 8
  12. 12.If 9x − 22 = 50, what is x? (a) 7 (b) 9 (c) 8 (d) 72
  13. 13.If x/3 + 2 = 10, what is x? (a) 8 (b) 36 (c) 24 (d) 28
  14. 14.If 2x + 7 = 15, what is x? (a) 4 (b) 11 (c) 5 (d) 8
  15. 15.If 3x + 12 = 2x + 16, what is x? (a) 5 (b) 28 (c) 4 (d) 6
  16. 16.If 8x + 9 = 73, what is x? (a) 7 (b) 8 (c) 9 (d) 64
  17. 17.If x/2 + 1 = 9, what is x? (a) 17 (b) 8 (c) 16 (d) 20
  18. 18.If 9x + 17 = 134, what is x? (a) 14 (b) 12 (c) 13 (d) 117
  19. 19.If 9x − 36 = 90, what is x? (a) 126 (b) 14 (c) 6 (d) 15
  20. 20.If x/2 + 6 = 13, what is x? (a) 14 (b) 7 (c) 20 (d) 38
  21. 21.If x/4 + 12 = 22, what is x? (a) 76 (b) 136 (c) 40 (d) 10
  22. 22.If x/6 + 3 = 10, what is x? (a) 78 (b) 57 (c) 7 (d) 42
  23. 23.If 7x + 12 = 110, what is x? (a) 98 (b) 13 (c) 15 (d) 14
  24. 24.If 6x + 12 = 36, what is x? (a) 8 (b) 4 (c) 24 (d) 5
  25. 25.If x/3 + 4 = 12, what is x? (a) 48 (b) 8 (c) 24 (d) 32
  26. 26.If x/6 + 7 = 16, what is x? (a) 89 (b) 54 (c) 9 (d) 138
  27. 27.If 3x − 13 = 17, what is x? (a) 10 (b) 11 (c) 9 (d) 30
  28. 28.If 9x − 37 = 53, what is x? (a) 9 (b) 10 (c) 11 (d) 90
  29. 29.If 7x + 17 = 5x + 35, what is x? (a) 11 (b) 9 (c) 10 (d) 26
  30. 30.If 5x + 8 = 2x + 29, what is x? (a) 7 (b) 9 (c) 8 (d) 3
  31. 31.If 3x + 18 = x + 24, what is x? (a) 5 (b) 4 (c) 21 (d) 3
  32. 32.If 8x + 24 = 104, what is x? (a) 16 (b) 10 (c) 80 (d) 11
  33. 33.If 4x + 25 = 65, what is x? (a) 40 (b) 11 (c) 10 (d) 9
  34. 34.If 8x + 17 = 5x + 35, what is x? (a) 8 (b) 5 (c) 7 (d) 6
  35. 35.If 9x + 14 = 68, what is x? (a) 7 (b) 54 (c) 6 (d) 5
  36. 36.If 6x + 9 = x + 29, what is x? (a) 4 (b) 3 (c) 6 (d) 5
  37. 37.If x/2 + 8 = 19, what is x? (a) 30 (b) 54 (c) 11 (d) 22
  38. 38.If 3x + 1 = 7, what is x? (a) 1 (b) 2 (c) 3 (d) 6
  39. 39.If 2x − 1 = 5, what is x? (a) 6 (b) 2 (c) 3 (d) 4
  40. 40.If 3x + 11 = x + 17, what is x? (a) 14 (b) 5 (c) 3 (d) 4

Answer key

  1. 14
  2. 3
  3. 40
  4. 11
  5. 24
  6. 12
  7. 7
  8. 5
  9. 14
  10. 9
  11. 8
  12. 8
  13. 24
  14. 4
  15. 4
  16. 8
  17. 16
  18. 13
  19. 14
  20. 14
  21. 40
  22. 42
  23. 14
  24. 4
  25. 24
  26. 54
  27. 10
  28. 10
  29. 9
  30. 7
  31. 3
  32. 10
  33. 10
  34. 6
  35. 6
  36. 4
  37. 22
  38. 2
  39. 3
  40. 3

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