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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 769 · 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 5x + 4 = 2x + 34, what is x? (a) 10 (b) 12 (c) 11 (d) 9
  2. 2.If 9x − 55 = 53, what is x? (a) 11 (b) 108 (c) 13 (d) 12
  3. 3.If 4x + 6 = 54, what is x? (a) 13 (b) 12 (c) 15 (d) 48
  4. 4.If 5x + 23 = 68, what is x? (a) 9 (b) 45 (c) 10 (d) 8
  5. 5.If 7x + 25 = 130, what is x? (a) 105 (b) 16 (c) 14 (d) 15
  6. 6.If 4x + 9 = 17, what is x? (a) 3 (b) 8 (c) 1 (d) 2
  7. 7.If x/4 + 13 = 15, what is x? (a) 112 (b) 8 (c) 47 (d) 2
  8. 8.If 7x + 10 = 5x + 26, what is x? (a) 8 (b) 18 (c) 10 (d) 9
  9. 9.If 7x − 4 = 45, what is x? (a) 8 (b) 7 (c) 6 (d) 49
  10. 10.If 8x + 11 = 2x + 23, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  11. 11.If 2x + 12 = 26, what is x? (a) 14 (b) 8 (c) 7 (d) 19
  12. 12.If 2x − 19 = 11, what is x? (a) 30 (b) 16 (c) 15 (d) 14
  13. 13.If 3x − 2 = 4, what is x? (a) 6 (b) 3 (c) 1 (d) 2
  14. 14.If 9x − 25 = 2, what is x? (a) 3 (b) 2 (c) 4 (d) 27
  15. 15.If 9x + 7 = 70, what is x? (a) 6 (b) 8 (c) 63 (d) 7
  16. 16.If x/3 + 9 = 19, what is x? (a) 30 (b) 48 (c) 84 (d) 10
  17. 17.If 5x + 15 = 2x + 42, what is x? (a) 11 (b) 19 (c) 10 (d) 9
  18. 18.If 4x − 8 = 12, what is x? (a) 1 (b) 5 (c) 6 (d) 20
  19. 19.If x/6 + 1 = 8, what is x? (a) 47 (b) 7 (c) 54 (d) 42
  20. 20.If 6x + 5 = 2x + 21, what is x? (a) 5 (b) 2 (c) 6 (d) 4
  21. 21.If 4x + 26 = 42, what is x? (a) 5 (b) 4 (c) 16 (d) 17
  22. 22.If 4x − 5 = 39, what is x? (a) 10 (b) 11 (c) 12 (d) 44
  23. 23.If 4x + 20 = 2x + 36, what is x? (a) 9 (b) 10 (c) 28 (d) 8
  24. 24.If 8x + 1 = 7x + 6, what is x? (a) 6 (b) 7 (c) 5 (d) 4
  25. 25.If x/3 + 8 = 12, what is x? (a) 4 (b) 60 (c) 12 (d) 28
  26. 26.If 4x + 23 = 67, what is x? (a) 44 (b) 12 (c) 11 (d) 10
  27. 27.If 2x − 6 = 4, what is x? (a) 10 (b) 4 (c) 5 (d) 6
  28. 28.If 4x + 11 = x + 14, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  29. 29.If 4x + 2 = 38, what is x? (a) 8 (b) 10 (c) 36 (d) 9
  30. 30.If 2x − 10 = 8, what is x? (a) 8 (b) 10 (c) 18 (d) 9
  31. 31.If x/6 + 14 = 22, what is x? (a) 8 (b) 118 (c) 216 (d) 48
  32. 32.If 3x − 5 = 1, what is x? (a) 2 (b) 6 (c) 3 (d) 1
  33. 33.If 2x + 9 = 13, what is x? (a) 2 (b) 11 (c) 3 (d) 4
  34. 34.If 6x + 20 = 5x + 23, what is x? (a) 4 (b) 5 (c) 3 (d) 43
  35. 35.If x/5 + 7 = 19, what is x? (a) 88 (b) 12 (c) 130 (d) 60
  36. 36.If 9x + 6 = 132, what is x? (a) 13 (b) 126 (c) 14 (d) 15
  37. 37.If x/6 + 3 = 12, what is x? (a) 9 (b) 90 (c) 69 (d) 54
  38. 38.If 8x + 14 = x + 98, what is x? (a) 16 (b) 13 (c) 12 (d) 14
  39. 39.If x/3 + 5 = 10, what is x? (a) 5 (b) 45 (c) 25 (d) 15
  40. 40.If x/4 + 1 = 3, what is x? (a) 11 (b) 2 (c) 8 (d) 16

Answer key

  1. 10
  2. 12
  3. 12
  4. 9
  5. 15
  6. 2
  7. 8
  8. 8
  9. 7
  10. 2
  11. 7
  12. 15
  13. 2
  14. 3
  15. 7
  16. 30
  17. 9
  18. 5
  19. 42
  20. 4
  21. 4
  22. 11
  23. 8
  24. 5
  25. 12
  26. 11
  27. 5
  28. 1
  29. 9
  30. 9
  31. 48
  32. 2
  33. 2
  34. 3
  35. 60
  36. 14
  37. 54
  38. 12
  39. 15
  40. 8

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