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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 504 · 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 4x − 2 = 6, what is x? (a) 1 (b) 2 (c) 8 (d) 3
  2. 2.If 5x + 3 = 4x + 4, what is x? (a) 7 (b) 2 (c) 3 (d) 1
  3. 3.If 7x + 8 = 106, what is x? (a) 13 (b) 14 (c) 98 (d) 15
  4. 4.If 4x + 17 = x + 23, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  5. 5.If 6x + 7 = 2x + 15, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  6. 6.If 2x + 24 = 38, what is x? (a) 14 (b) 31 (c) 7 (d) 8
  7. 7.If 6x − 19 = 23, what is x? (a) 7 (b) 42 (c) 8 (d) 6
  8. 8.If x/4 + 3 = 9, what is x? (a) 48 (b) 33 (c) 6 (d) 24
  9. 9.If 6x + 11 = 53, what is x? (a) 6 (b) 7 (c) 42 (d) 8
  10. 10.If x/6 + 13 = 20, what is x? (a) 7 (b) 42 (c) 198 (d) 107
  11. 11.If 4x + 24 = 84, what is x? (a) 60 (b) 15 (c) 27 (d) 16
  12. 12.If 8x + 17 = 105, what is x? (a) 10 (b) 88 (c) 11 (d) 12
  13. 13.If 5x + 4 = 3x + 24, what is x? (a) 12 (b) 10 (c) 11 (d) 14
  14. 14.If 6x + 28 = 52, what is x? (a) 24 (b) 3 (c) 5 (d) 4
  15. 15.If 4x − 3 = 21, what is x? (a) 24 (b) 6 (c) 7 (d) 5
  16. 16.If 6x − 28 = 50, what is x? (a) 14 (b) 12 (c) 13 (d) 78
  17. 17.If 3x − 7 = 5, what is x? (a) 12 (b) 4 (c) 5 (d) 3
  18. 18.If 4x + 20 = 36, what is x? (a) 16 (b) 5 (c) 4 (d) 14
  19. 19.If 4x + 12 = x + 15, what is x? (a) 9 (b) 3 (c) 1 (d) 2
  20. 20.If x/6 + 10 = 13, what is x? (a) 138 (b) 68 (c) 3 (d) 18
  21. 21.If 3x + 10 = 19, what is x? (a) 2 (b) 9 (c) 4 (d) 3
  22. 22.If x/2 + 6 = 11, what is x? (a) 16 (b) 34 (c) 10 (d) 5
  23. 23.If 3x − 19 = 23, what is x? (a) 13 (b) 14 (c) 42 (d) 15
  24. 24.If 9x + 12 = 48, what is x? (a) 5 (b) 3 (c) 4 (d) 36
  25. 25.If 2x + 12 = 28, what is x? (a) 9 (b) 8 (c) 16 (d) 20
  26. 26.If 8x + 11 = 75, what is x? (a) 9 (b) 64 (c) 7 (d) 8
  27. 27.If x/4 + 3 = 8, what is x? (a) 29 (b) 5 (c) 20 (d) 44
  28. 28.If 4x + 15 = 2x + 21, what is x? (a) 4 (b) 3 (c) 1 (d) 18
  29. 29.If 4x − 5 = 11, what is x? (a) 3 (b) 5 (c) 4 (d) 16
  30. 30.If 5x + 23 = 58, what is x? (a) 35 (b) 7 (c) 8 (d) 6
  31. 31.If x/6 + 4 = 9, what is x? (a) 78 (b) 5 (c) 30 (d) 50
  32. 32.If 6x + 11 = 4x + 13, what is x? (a) 2 (b) 3 (c) 12 (d) 1
  33. 33.If 2x − 3 = 1, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  34. 34.If x/5 + 9 = 12, what is x? (a) 51 (b) 3 (c) 15 (d) 105
  35. 35.If 3x + 3 = 18, what is x? (a) 7 (b) 6 (c) 15 (d) 5
  36. 36.If 9x + 18 = 153, what is x? (a) 15 (b) 19 (c) 135 (d) 16
  37. 37.If 4x + 16 = 3x + 17, what is x? (a) 2 (b) 3 (c) 33 (d) 1
  38. 38.If 4x − 29 = 7, what is x? (a) 36 (b) 10 (c) 9 (d) 8
  39. 39.If 4x + 19 = 2x + 29, what is x? (a) 24 (b) 5 (c) 6 (d) 7
  40. 40.If 4x + 16 = x + 28, what is x? (a) 5 (b) 4 (c) 3 (d) 6

Answer key

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

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