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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 983 · 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 8x + 25 = 145, what is x? (a) 120 (b) 15 (c) 16 (d) 14
  2. 2.If 4x + 14 = 3x + 20, what is x? (a) 7 (b) 8 (c) 34 (d) 6
  3. 3.If x/4 + 10 = 12, what is x? (a) 8 (b) 88 (c) 2 (d) 38
  4. 4.If 7x + 6 = 2x + 41, what is x? (a) 7 (b) 9 (c) 8 (d) 6
  5. 5.If 7x − 49 = 7, what is x? (a) 8 (b) 56 (c) 7 (d) 9
  6. 6.If x/4 + 2 = 5, what is x? (a) 28 (b) 12 (c) 18 (d) 3
  7. 7.If 6x − 7 = 59, what is x? (a) 66 (b) 10 (c) 11 (d) 12
  8. 8.If x/3 + 1 = 3, what is x? (a) 2 (b) 6 (c) 12 (d) 8
  9. 9.If 6x + 5 = 2x + 29, what is x? (a) 8 (b) 7 (c) 6 (d) 3
  10. 10.If 9x − 2 = 16, what is x? (a) 18 (b) 1 (c) 3 (d) 2
  11. 11.If 8x + 30 = 94, what is x? (a) 8 (b) 7 (c) 9 (d) 64
  12. 12.If 4x − 3 = 13, what is x? (a) 4 (b) 3 (c) 5 (d) 16
  13. 13.If 2x − 11 = 5, what is x? (a) 16 (b) 7 (c) 8 (d) 9
  14. 14.If x/6 + 1 = 6, what is x? (a) 5 (b) 30 (c) 35 (d) 42
  15. 15.If 6x − 2 = 40, what is x? (a) 7 (b) 6 (c) 8 (d) 42
  16. 16.If 6x + 8 = 56, what is x? (a) 7 (b) 8 (c) 48 (d) 9
  17. 17.If 4x + 1 = 2x + 23, what is x? (a) 12 (b) 11 (c) 13 (d) 10
  18. 18.If 6x − 31 = 5, what is x? (a) 6 (b) 36 (c) 5 (d) 7
  19. 19.If 4x + 17 = 2x + 21, what is x? (a) 3 (b) 4 (c) 2 (d) 19
  20. 20.If 4x + 10 = 3x + 19, what is x? (a) 10 (b) 9 (c) 11 (d) 29
  21. 21.If 3x − 4 = 2, what is x? (a) 3 (b) 2 (c) 1 (d) 6
  22. 22.If x/3 + 6 = 14, what is x? (a) 8 (b) 24 (c) 60 (d) 36
  23. 23.If 9x + 3 = 84, what is x? (a) 8 (b) 10 (c) 81 (d) 9
  24. 24.If 5x − 1 = 9, what is x? (a) 10 (b) 3 (c) 2 (d) 1
  25. 25.If x/5 + 6 = 10, what is x? (a) 4 (b) 80 (c) 44 (d) 20
  26. 26.If 6x + 6 = 5x + 16, what is x? (a) 22 (b) 12 (c) 10 (d) 11
  27. 27.If 6x − 5 = 85, what is x? (a) 90 (b) 15 (c) 14 (d) 16
  28. 28.If 6x + 14 = 86, what is x? (a) 12 (b) 72 (c) 11 (d) 13
  29. 29.If 7x + 16 = 6x + 19, what is x? (a) 35 (b) 5 (c) 3 (d) 4
  30. 30.If 5x + 17 = 62, what is x? (a) 45 (b) 10 (c) 9 (d) 8
  31. 31.If 2x − 3 = 23, what is x? (a) 26 (b) 10 (c) 13 (d) 14
  32. 32.If 8x + 9 = 33, what is x? (a) 2 (b) 24 (c) 3 (d) 4
  33. 33.If 3x + 15 = x + 17, what is x? (a) 2 (b) 1 (c) 3 (d) 16
  34. 34.If x/2 + 9 = 17, what is x? (a) 16 (b) 8 (c) 25 (d) 52
  35. 35.If 9x − 67 = 68, what is x? (a) 15 (b) 16 (c) 135 (d) 14
  36. 36.If 2x − 1 = 9, what is x? (a) 6 (b) 5 (c) 10 (d) 4
  37. 37.If 5x − 9 = 31, what is x? (a) 8 (b) 9 (c) 40 (d) 7
  38. 38.If 5x + 24 = 54, what is x? (a) 5 (b) 30 (c) 6 (d) 7
  39. 39.If 6x + 1 = 3x + 28, what is x? (a) 9 (b) 11 (c) 10 (d) 3
  40. 40.If 5x − 7 = 43, what is x? (a) 50 (b) 9 (c) 11 (d) 10

Answer key

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

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