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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 892 · 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 + 7 = 39, what is x? (a) 3 (b) 4 (c) 32 (d) 5
  2. 2.If 2x − 3 = 9, what is x? (a) 7 (b) 6 (c) 12 (d) 3
  3. 3.If 2x − 9 = 13, what is x? (a) 11 (b) 22 (c) 12 (d) 2
  4. 4.If 6x + 1 = 91, what is x? (a) 15 (b) 14 (c) 90 (d) 16
  5. 5.If 7x + 15 = 78, what is x? (a) 8 (b) 9 (c) 63 (d) 10
  6. 6.If 4x − 5 = 11, what is x? (a) 3 (b) 5 (c) 16 (d) 4
  7. 7.If 6x + 26 = 92, what is x? (a) 12 (b) 66 (c) 11 (d) 10
  8. 8.If 7x + 9 = 23, what is x? (a) 14 (b) 2 (c) 3 (d) 1
  9. 9.If 2x − 20 = 4, what is x? (a) 12 (b) 11 (c) 13 (d) 24
  10. 10.If x/2 + 1 = 4, what is x? (a) 7 (b) 10 (c) 6 (d) 3
  11. 11.If 3x − 27 = 3, what is x? (a) 11 (b) 9 (c) 30 (d) 10
  12. 12.If x/3 + 15 = 22, what is x? (a) 51 (b) 111 (c) 21 (d) 7
  13. 13.If 8x + 4 = 2x + 10, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  14. 14.If 8x + 10 = 6x + 30, what is x? (a) 12 (b) 10 (c) 20 (d) 11
  15. 15.If 3x + 16 = x + 22, what is x? (a) 3 (b) 4 (c) 5 (d) 19
  16. 16.If 5x + 20 = 45, what is x? (a) 13 (b) 25 (c) 5 (d) 6
  17. 17.If 6x − 16 = 38, what is x? (a) 10 (b) 8 (c) 54 (d) 9
  18. 18.If x/3 + 15 = 24, what is x? (a) 117 (b) 9 (c) 57 (d) 27
  19. 19.If 5x − 1 = 14, what is x? (a) 2 (b) 3 (c) 15 (d) 4
  20. 20.If 3x + 1 = 22, what is x? (a) 7 (b) 8 (c) 21 (d) 6
  21. 21.If x/3 + 14 = 23, what is x? (a) 27 (b) 111 (c) 55 (d) 9
  22. 22.If x/6 + 10 = 18, what is x? (a) 168 (b) 98 (c) 8 (d) 48
  23. 23.If 8x − 14 = 98, what is x? (a) 15 (b) 14 (c) 112 (d) 13
  24. 24.If x/3 + 6 = 14, what is x? (a) 24 (b) 36 (c) 8 (d) 60
  25. 25.If x/2 + 10 = 17, what is x? (a) 7 (b) 24 (c) 14 (d) 54
  26. 26.If 7x + 5 = x + 41, what is x? (a) 6 (b) 7 (c) 8 (d) 5
  27. 27.If x/2 + 13 = 23, what is x? (a) 33 (b) 20 (c) 72 (d) 10
  28. 28.If 5x + 5 = x + 21, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  29. 29.If x/6 + 3 = 9, what is x? (a) 51 (b) 72 (c) 36 (d) 6
  30. 30.If 5x + 14 = x + 18, what is x? (a) 2 (b) 8 (c) 3 (d) 1
  31. 31.If 3x + 19 = x + 39, what is x? (a) 11 (b) 10 (c) 5 (d) 29
  32. 32.If 6x + 29 = 77, what is x? (a) 7 (b) 9 (c) 8 (d) 48
  33. 33.If 5x + 7 = x + 23, what is x? (a) 3 (b) 4 (c) 5 (d) 6
  34. 34.If 2x + 22 = 32, what is x? (a) 27 (b) 5 (c) 6 (d) 10
  35. 35.If x/6 + 15 = 23, what is x? (a) 123 (b) 8 (c) 228 (d) 48
  36. 36.If 6x + 5 = 35, what is x? (a) 4 (b) 5 (c) 6 (d) 30
  37. 37.If 3x + 6 = 2x + 12, what is x? (a) 7 (b) 6 (c) 8 (d) 18
  38. 38.If x/6 + 4 = 6, what is x? (a) 12 (b) 2 (c) 60 (d) 32
  39. 39.If 2x + 19 = 25, what is x? (a) 22 (b) 6 (c) 3 (d) 4
  40. 40.If 5x + 10 = 2x + 13, what is x? (a) 3 (b) 2 (c) 1 (d) 4

Answer key

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

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