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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 499 · 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 x/3 + 14 = 17, what is x? (a) 9 (b) 93 (c) 3 (d) 37
  2. 2.If 9x + 9 = 117, what is x? (a) 108 (b) 14 (c) 12 (d) 13
  3. 3.If x/3 + 4 = 14, what is x? (a) 30 (b) 38 (c) 54 (d) 10
  4. 4.If 9x + 25 = 61, what is x? (a) 5 (b) 36 (c) 3 (d) 4
  5. 5.If 5x − 28 = 12, what is x? (a) 8 (b) 40 (c) 9 (d) 7
  6. 6.If x/6 + 2 = 5, what is x? (a) 18 (b) 28 (c) 42 (d) 3
  7. 7.If x/3 + 3 = 15, what is x? (a) 36 (b) 12 (c) 54 (d) 42
  8. 8.If 9x + 20 = 6x + 26, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  9. 9.If 9x + 11 = 29, what is x? (a) 3 (b) 18 (c) 1 (d) 2
  10. 10.If 7x + 2 = 3x + 6, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  11. 11.If 4x + 8 = x + 29, what is x? (a) 8 (b) 6 (c) 7 (d) 9
  12. 12.If 5x + 21 = 96, what is x? (a) 16 (b) 75 (c) 15 (d) 14
  13. 13.If x/4 + 9 = 21, what is x? (a) 120 (b) 48 (c) 75 (d) 12
  14. 14.If 7x − 1 = 20, what is x? (a) 4 (b) 21 (c) 2 (d) 3
  15. 15.If 6x − 9 = 27, what is x? (a) 36 (b) 3 (c) 7 (d) 6
  16. 16.If x/5 + 4 = 9, what is x? (a) 41 (b) 5 (c) 65 (d) 25
  17. 17.If 3x − 13 = 2, what is x? (a) 6 (b) 5 (c) 4 (d) 15
  18. 18.If x/3 + 3 = 5, what is x? (a) 12 (b) 24 (c) 2 (d) 6
  19. 19.If 8x + 26 = 58, what is x? (a) 5 (b) 3 (c) 32 (d) 4
  20. 20.If 7x + 10 = 24, what is x? (a) 1 (b) 2 (c) 14 (d) 3
  21. 21.If 3x + 9 = x + 19, what is x? (a) 6 (b) 7 (c) 5 (d) 14
  22. 22.If 9x + 1 = 5x + 17, what is x? (a) 5 (b) 4 (c) 3 (d) 6
  23. 23.If x/2 + 15 = 22, what is x? (a) 29 (b) 7 (c) 74 (d) 14
  24. 24.If 9x − 102 = 15, what is x? (a) 117 (b) 14 (c) 13 (d) 12
  25. 25.If 3x + 2 = 20, what is x? (a) 7 (b) 5 (c) 18 (d) 6
  26. 26.If 2x − 6 = 16, what is x? (a) 22 (b) 5 (c) 12 (d) 11
  27. 27.If 5x + 11 = 3x + 27, what is x? (a) 9 (b) 19 (c) 2 (d) 8
  28. 28.If 8x + 17 = 137, what is x? (a) 14 (b) 15 (c) 120 (d) 16
  29. 29.If x/5 + 11 = 13, what is x? (a) 10 (b) 54 (c) 120 (d) 2
  30. 30.If 4x + 23 = 39, what is x? (a) 16 (b) 5 (c) 4 (d) 3
  31. 31.If 3x + 3 = 2x + 12, what is x? (a) 15 (b) 10 (c) 11 (d) 9
  32. 32.If 3x + 16 = 2x + 26, what is x? (a) 2 (b) 42 (c) 10 (d) 11
  33. 33.If x/3 + 2 = 14, what is x? (a) 36 (b) 40 (c) 12 (d) 48
  34. 34.If 4x + 27 = 39, what is x? (a) 4 (b) 12 (c) 2 (d) 3
  35. 35.If x/3 + 6 = 14, what is x? (a) 8 (b) 36 (c) 24 (d) 60
  36. 36.If 2x + 3 = 31, what is x? (a) 17 (b) 15 (c) 28 (d) 14
  37. 37.If 7x + 8 = 50, what is x? (a) 42 (b) 6 (c) 7 (d) 5
  38. 38.If 6x + 1 = x + 26, what is x? (a) 7 (b) 5 (c) 6 (d) 4
  39. 39.If 6x + 7 = 19, what is x? (a) 12 (b) 1 (c) 2 (d) 3
  40. 40.If 2x + 24 = 46, what is x? (a) 11 (b) 12 (c) 22 (d) 35

Answer key

  1. 9
  2. 12
  3. 30
  4. 4
  5. 8
  6. 18
  7. 36
  8. 2
  9. 2
  10. 1
  11. 7
  12. 15
  13. 48
  14. 3
  15. 6
  16. 25
  17. 5
  18. 6
  19. 4
  20. 2
  21. 5
  22. 4
  23. 14
  24. 13
  25. 6
  26. 11
  27. 8
  28. 15
  29. 10
  30. 4
  31. 9
  32. 10
  33. 36
  34. 3
  35. 24
  36. 14
  37. 6
  38. 5
  39. 2
  40. 11

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