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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 957 · 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 6x + 5 = 3x + 35, what is x? (a) 11 (b) 9 (c) 12 (d) 10
  2. 2.If 3x + 8 = x + 32, what is x? (a) 20 (b) 13 (c) 12 (d) 6
  3. 3.If 5x + 8 = 2x + 41, what is x? (a) 11 (b) 10 (c) 13 (d) 12
  4. 4.If 7x − 15 = 6, what is x? (a) 2 (b) 4 (c) 3 (d) 21
  5. 5.If 9x + 16 = 4x + 26, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  6. 6.If x/4 + 14 = 17, what is x? (a) 124 (b) 12 (c) 3 (d) 54
  7. 7.If 4x + 1 = 37, what is x? (a) 9 (b) 10 (c) 8 (d) 36
  8. 8.If x/3 + 6 = 10, what is x? (a) 24 (b) 12 (c) 4 (d) 48
  9. 9.If 4x + 5 = 3x + 10, what is x? (a) 7 (b) 6 (c) 15 (d) 5
  10. 10.If 7x + 3 = 59, what is x? (a) 9 (b) 56 (c) 7 (d) 8
  11. 11.If 3x + 6 = x + 12, what is x? (a) 4 (b) 5 (c) 3 (d) 9
  12. 12.If 6x + 4 = 64, what is x? (a) 11 (b) 10 (c) 9 (d) 60
  13. 13.If 7x + 11 = 32, what is x? (a) 4 (b) 21 (c) 2 (d) 3
  14. 14.If 8x + 4 = 3x + 64, what is x? (a) 13 (b) 11 (c) 12 (d) 14
  15. 15.If x/4 + 6 = 16, what is x? (a) 40 (b) 58 (c) 88 (d) 10
  16. 16.If 7x + 24 = 52, what is x? (a) 28 (b) 4 (c) 3 (d) 5
  17. 17.If 8x + 2 = 3x + 32, what is x? (a) 6 (b) 7 (c) 8 (d) 5
  18. 18.If 4x + 15 = 2x + 35, what is x? (a) 25 (b) 10 (c) 11 (d) 12
  19. 19.If 9x + 15 = 60, what is x? (a) 6 (b) 45 (c) 4 (d) 5
  20. 20.If x/3 + 3 = 12, what is x? (a) 45 (b) 27 (c) 33 (d) 9
  21. 21.If 9x + 19 = 4x + 39, what is x? (a) 6 (b) 5 (c) 3 (d) 4
  22. 22.If 6x + 9 = 2x + 49, what is x? (a) 11 (b) 12 (c) 5 (d) 10
  23. 23.If 2x − 10 = 20, what is x? (a) 15 (b) 30 (c) 5 (d) 16
  24. 24.If 5x + 1 = 26, what is x? (a) 6 (b) 5 (c) 25 (d) 4
  25. 25.If 6x + 24 = 60, what is x? (a) 36 (b) 6 (c) 14 (d) 7
  26. 26.If 6x − 2 = 10, what is x? (a) 1 (b) 3 (c) 12 (d) 2
  27. 27.If 8x + 16 = 104, what is x? (a) 11 (b) 15 (c) 12 (d) 88
  28. 28.If 4x − 33 = 15, what is x? (a) 11 (b) 48 (c) 12 (d) 13
  29. 29.If 3x + 1 = x + 23, what is x? (a) 10 (b) 12 (c) 11 (d) 13
  30. 30.If 4x + 7 = x + 25, what is x? (a) 6 (b) 8 (c) 7 (d) 5
  31. 31.If 8x − 63 = 17, what is x? (a) 11 (b) 9 (c) 10 (d) 80
  32. 32.If 7x + 16 = 65, what is x? (a) 7 (b) 8 (c) 49 (d) 6
  33. 33.If 3x + 9 = 21, what is x? (a) 5 (b) 4 (c) 12 (d) 10
  34. 34.If 9x + 7 = 6x + 13, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  35. 35.If 7x + 15 = 2x + 35, what is x? (a) 4 (b) 5 (c) 6 (d) 10
  36. 36.If x/6 + 7 = 19, what is x? (a) 12 (b) 72 (c) 107 (d) 156
  37. 37.If 4x − 1 = 55, what is x? (a) 15 (b) 14 (c) 13 (d) 56
  38. 38.If 4x + 1 = 3x + 12, what is x? (a) 13 (b) 10 (c) 12 (d) 11
  39. 39.If 3x + 26 = 32, what is x? (a) 2 (b) 6 (c) 1 (d) 3
  40. 40.If 2x − 8 = 22, what is x? (a) 7 (b) 30 (c) 16 (d) 15

Answer key

  1. 10
  2. 12
  3. 11
  4. 3
  5. 2
  6. 12
  7. 9
  8. 12
  9. 5
  10. 8
  11. 3
  12. 10
  13. 3
  14. 12
  15. 40
  16. 4
  17. 6
  18. 10
  19. 5
  20. 27
  21. 4
  22. 10
  23. 15
  24. 5
  25. 6
  26. 2
  27. 11
  28. 12
  29. 11
  30. 6
  31. 10
  32. 7
  33. 4
  34. 2
  35. 4
  36. 72
  37. 14
  38. 11
  39. 2
  40. 15

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