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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 168 · 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 + 2 = 26, what is x? (a) 24 (b) 5 (c) 3 (d) 4
  2. 2.If 3x + 14 = 23, what is x? (a) 9 (b) 2 (c) 4 (d) 3
  3. 3.If 9x + 6 = 114, what is x? (a) 108 (b) 11 (c) 13 (d) 12
  4. 4.If 2x − 2 = 18, what is x? (a) 10 (b) 8 (c) 20 (d) 11
  5. 5.If 8x + 15 = 111, what is x? (a) 13 (b) 12 (c) 96 (d) 11
  6. 6.If 3x − 10 = 11, what is x? (a) 6 (b) 21 (c) 8 (d) 7
  7. 7.If 6x + 10 = 64, what is x? (a) 54 (b) 10 (c) 9 (d) 8
  8. 8.If x/2 + 8 = 17, what is x? (a) 9 (b) 50 (c) 26 (d) 18
  9. 9.If x/5 + 12 = 15, what is x? (a) 63 (b) 135 (c) 3 (d) 15
  10. 10.If x/3 + 3 = 10, what is x? (a) 27 (b) 7 (c) 21 (d) 39
  11. 11.If 3x + 9 = x + 23, what is x? (a) 16 (b) 8 (c) 9 (d) 7
  12. 12.If x/6 + 10 = 13, what is x? (a) 18 (b) 138 (c) 68 (d) 3
  13. 13.If 8x + 2 = 3x + 17, what is x? (a) 5 (b) 3 (c) 2 (d) 4
  14. 14.If 3x − 5 = 34, what is x? (a) 12 (b) 39 (c) 14 (d) 13
  15. 15.If 4x + 6 = 30, what is x? (a) 7 (b) 24 (c) 6 (d) 9
  16. 16.If 9x + 12 = 6x + 33, what is x? (a) 15 (b) 9 (c) 7 (d) 8
  17. 17.If 5x + 6 = 4x + 10, what is x? (a) 6 (b) 16 (c) 4 (d) 5
  18. 18.If x/5 + 11 = 17, what is x? (a) 74 (b) 6 (c) 30 (d) 140
  19. 19.If 7x − 7 = 28, what is x? (a) 6 (b) 3 (c) 35 (d) 5
  20. 20.If x/2 + 6 = 18, what is x? (a) 12 (b) 48 (c) 30 (d) 24
  21. 21.If 4x − 30 = 6, what is x? (a) 10 (b) 36 (c) 8 (d) 9
  22. 22.If x/2 + 2 = 6, what is x? (a) 8 (b) 4 (c) 16 (d) 10
  23. 23.If 3x + 13 = 28, what is x? (a) 15 (b) 5 (c) 4 (d) 6
  24. 24.If 9x + 18 = 5x + 26, what is x? (a) 11 (b) 3 (c) 2 (d) 4
  25. 25.If 5x + 18 = 3x + 34, what is x? (a) 9 (b) 2 (c) 8 (d) 26
  26. 26.If x/4 + 10 = 14, what is x? (a) 4 (b) 96 (c) 16 (d) 46
  27. 27.If 7x + 3 = 66, what is x? (a) 9 (b) 10 (c) 63 (d) 8
  28. 28.If 2x − 4 = 6, what is x? (a) 5 (b) 1 (c) 10 (d) 6
  29. 29.If 7x + 5 = 19, what is x? (a) 3 (b) 14 (c) 1 (d) 2
  30. 30.If 9x + 19 = 6x + 28, what is x? (a) 3 (b) 4 (c) 2 (d) 5
  31. 31.If 6x − 15 = 15, what is x? (a) 6 (b) 5 (c) 30 (d) 4
  32. 32.If x/5 + 3 = 7, what is x? (a) 4 (b) 32 (c) 50 (d) 20
  33. 33.If 8x + 14 = 3x + 19, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  34. 34.If 3x + 11 = x + 35, what is x? (a) 6 (b) 13 (c) 12 (d) 23
  35. 35.If 5x + 14 = 24, what is x? (a) 10 (b) 2 (c) 3 (d) 1
  36. 36.If x/2 + 13 = 19, what is x? (a) 64 (b) 25 (c) 12 (d) 6
  37. 37.If 3x + 17 = 35, what is x? (a) 6 (b) 18 (c) 5 (d) 7
  38. 38.If 2x + 8 = 36, what is x? (a) 15 (b) 14 (c) 28 (d) 22
  39. 39.If 7x − 21 = 14, what is x? (a) 5 (b) 4 (c) 35 (d) 6
  40. 40.If 5x + 5 = 25, what is x? (a) 20 (b) 4 (c) 5 (d) 6

Answer key

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

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