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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 867 · 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 − 13 = 7, what is x? (a) 5 (b) 20 (c) 3 (d) 4
  2. 2.If 8x − 9 = 31, what is x? (a) 4 (b) 6 (c) 5 (d) 40
  3. 3.If 9x + 9 = 2x + 65, what is x? (a) 9 (b) 8 (c) 10 (d) 7
  4. 4.If x/4 + 4 = 11, what is x? (a) 40 (b) 28 (c) 60 (d) 7
  5. 5.If 5x + 18 = 3x + 24, what is x? (a) 4 (b) 3 (c) 21 (d) 5
  6. 6.If 9x − 46 = 26, what is x? (a) 72 (b) 7 (c) 9 (d) 8
  7. 7.If x/4 + 2 = 10, what is x? (a) 8 (b) 32 (c) 38 (d) 48
  8. 8.If 3x + 12 = 2x + 14, what is x? (a) 4 (b) 3 (c) 26 (d) 2
  9. 9.If 3x + 15 = 27, what is x? (a) 4 (b) 12 (c) 14 (d) 5
  10. 10.If 7x + 16 = 30, what is x? (a) 3 (b) 14 (c) 1 (d) 2
  11. 11.If 5x + 11 = x + 35, what is x? (a) 8 (b) 6 (c) 4 (d) 7
  12. 12.If 9x + 29 = 65, what is x? (a) 4 (b) 5 (c) 36 (d) 3
  13. 13.If x/2 + 3 = 12, what is x? (a) 21 (b) 18 (c) 30 (d) 9
  14. 14.If 8x + 20 = 4x + 52, what is x? (a) 18 (b) 9 (c) 8 (d) 10
  15. 15.If 3x + 7 = 31, what is x? (a) 9 (b) 7 (c) 24 (d) 8
  16. 16.If 9x + 8 = 98, what is x? (a) 90 (b) 9 (c) 11 (d) 10
  17. 17.If 8x + 11 = 6x + 29, what is x? (a) 20 (b) 9 (c) 10 (d) 11
  18. 18.If 6x − 15 = 3, what is x? (a) 3 (b) 4 (c) 2 (d) 18
  19. 19.If 7x − 3 = 11, what is x? (a) 14 (b) 2 (c) 3 (d) 1
  20. 20.If 2x − 4 = 2, what is x? (a) 4 (b) 6 (c) 3 (d) 2
  21. 21.If 6x + 10 = 34, what is x? (a) 4 (b) 5 (c) 24 (d) 3
  22. 22.If x/6 + 12 = 15, what is x? (a) 3 (b) 18 (c) 162 (d) 78
  23. 23.If 3x − 14 = 10, what is x? (a) 9 (b) 7 (c) 8 (d) 24
  24. 24.If 6x + 24 = 108, what is x? (a) 84 (b) 14 (c) 22 (d) 15
  25. 25.If 5x + 4 = 79, what is x? (a) 14 (b) 16 (c) 75 (d) 15
  26. 26.If 7x − 42 = 42, what is x? (a) 13 (b) 84 (c) 11 (d) 12
  27. 27.If 9x + 17 = 80, what is x? (a) 7 (b) 63 (c) 6 (d) 8
  28. 28.If 3x − 19 = 26, what is x? (a) 45 (b) 14 (c) 15 (d) 16
  29. 29.If 5x − 7 = 3, what is x? (a) 1 (b) 10 (c) 3 (d) 2
  30. 30.If x/4 + 1 = 3, what is x? (a) 2 (b) 8 (c) 11 (d) 16
  31. 31.If 3x + 9 = x + 33, what is x? (a) 21 (b) 6 (c) 13 (d) 12
  32. 32.If 7x + 1 = 2x + 51, what is x? (a) 10 (b) 12 (c) 9 (d) 11
  33. 33.If 3x + 18 = 2x + 20, what is x? (a) 2 (b) 4 (c) 3 (d) 38
  34. 34.If 7x + 1 = 78, what is x? (a) 77 (b) 12 (c) 11 (d) 10
  35. 35.If 9x + 17 = 7x + 35, what is x? (a) 11 (b) 26 (c) 9 (d) 10
  36. 36.If 6x + 18 = 90, what is x? (a) 72 (b) 18 (c) 12 (d) 13
  37. 37.If x/3 + 3 = 6, what is x? (a) 3 (b) 15 (c) 27 (d) 9
  38. 38.If 4x − 17 = 3, what is x? (a) 5 (b) 20 (c) 4 (d) 6
  39. 39.If 2x − 3 = 1, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  40. 40.If 8x + 15 = 103, what is x? (a) 10 (b) 11 (c) 88 (d) 12

Answer key

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

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