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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 556 · 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/2 + 14 = 16, what is x? (a) 18 (b) 60 (c) 4 (d) 2
  2. 2.If 6x + 21 = 39, what is x? (a) 18 (b) 10 (c) 4 (d) 3
  3. 3.If 8x + 11 = 5x + 38, what is x? (a) 10 (b) 8 (c) 11 (d) 9
  4. 4.If 7x + 16 = 121, what is x? (a) 15 (b) 105 (c) 16 (d) 14
  5. 5.If 5x + 12 = 4x + 15, what is x? (a) 27 (b) 5 (c) 4 (d) 3
  6. 6.If x/2 + 4 = 8, what is x? (a) 8 (b) 12 (c) 4 (d) 24
  7. 7.If 3x + 16 = 61, what is x? (a) 15 (b) 16 (c) 14 (d) 45
  8. 8.If 3x − 8 = 16, what is x? (a) 8 (b) 7 (c) 9 (d) 24
  9. 9.If x/3 + 9 = 11, what is x? (a) 6 (b) 2 (c) 24 (d) 60
  10. 10.If 2x + 23 = 27, what is x? (a) 2 (b) 4 (c) 3 (d) 25
  11. 11.If 7x − 11 = 3, what is x? (a) 2 (b) 1 (c) 3 (d) 14
  12. 12.If 7x − 21 = 35, what is x? (a) 56 (b) 9 (c) 8 (d) 2
  13. 13.If x/2 + 12 = 21, what is x? (a) 30 (b) 9 (c) 66 (d) 18
  14. 14.If 4x + 17 = 2x + 27, what is x? (a) 5 (b) 6 (c) 22 (d) 7
  15. 15.If 5x + 16 = 26, what is x? (a) 2 (b) 3 (c) 10 (d) 1
  16. 16.If 9x − 27 = 18, what is x? (a) 4 (b) 6 (c) 5 (d) 45
  17. 17.If 4x + 16 = 40, what is x? (a) 6 (b) 14 (c) 7 (d) 24
  18. 18.If 3x + 2 = 8, what is x? (a) 6 (b) 2 (c) 3 (d) 1
  19. 19.If 7x − 48 = 8, what is x? (a) 9 (b) 7 (c) 8 (d) 56
  20. 20.If 4x + 8 = 44, what is x? (a) 10 (b) 36 (c) 13 (d) 9
  21. 21.If 6x − 30 = 36, what is x? (a) 66 (b) 1 (c) 12 (d) 11
  22. 22.If 7x + 10 = 6x + 13, what is x? (a) 5 (b) 4 (c) 3 (d) 23
  23. 23.If 5x + 2 = 2x + 17, what is x? (a) 5 (b) 7 (c) 4 (d) 6
  24. 24.If x/3 + 3 = 7, what is x? (a) 30 (b) 4 (c) 12 (d) 18
  25. 25.If x/3 + 11 = 17, what is x? (a) 6 (b) 84 (c) 40 (d) 18
  26. 26.If x/6 + 14 = 16, what is x? (a) 180 (b) 12 (c) 2 (d) 82
  27. 27.If 6x + 3 = 87, what is x? (a) 84 (b) 15 (c) 13 (d) 14
  28. 28.If 4x + 18 = 3x + 26, what is x? (a) 44 (b) 10 (c) 9 (d) 8
  29. 29.If 8x + 4 = 2x + 28, what is x? (a) 6 (b) 3 (c) 4 (d) 5
  30. 30.If x/5 + 11 = 23, what is x? (a) 104 (b) 170 (c) 12 (d) 60
  31. 31.If x/2 + 7 = 12, what is x? (a) 17 (b) 5 (c) 38 (d) 10
  32. 32.If 2x − 6 = 2, what is x? (a) 5 (b) 4 (c) 3 (d) 8
  33. 33.If x/2 + 13 = 23, what is x? (a) 10 (b) 33 (c) 72 (d) 20
  34. 34.If x/5 + 6 = 11, what is x? (a) 25 (b) 5 (c) 85 (d) 49
  35. 35.If 3x + 11 = x + 15, what is x? (a) 1 (b) 13 (c) 3 (d) 2
  36. 36.If 2x + 11 = 25, what is x? (a) 14 (b) 8 (c) 18 (d) 7
  37. 37.If 5x + 11 = 31, what is x? (a) 5 (b) 20 (c) 3 (d) 4
  38. 38.If 8x + 4 = 100, what is x? (a) 11 (b) 96 (c) 12 (d) 13
  39. 39.If 7x + 8 = 5x + 16, what is x? (a) 4 (b) 12 (c) 6 (d) 5
  40. 40.If x/3 + 9 = 13, what is x? (a) 4 (b) 66 (c) 30 (d) 12

Answer key

  1. 4
  2. 3
  3. 9
  4. 15
  5. 3
  6. 8
  7. 15
  8. 8
  9. 6
  10. 2
  11. 2
  12. 8
  13. 18
  14. 5
  15. 2
  16. 5
  17. 6
  18. 2
  19. 8
  20. 9
  21. 11
  22. 3
  23. 5
  24. 12
  25. 18
  26. 12
  27. 14
  28. 8
  29. 4
  30. 60
  31. 10
  32. 4
  33. 20
  34. 25
  35. 2
  36. 7
  37. 4
  38. 12
  39. 4
  40. 12

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