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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 988 · 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 7x + 28 = 77, what is x? (a) 8 (b) 15 (c) 7 (d) 49
  2. 2.If 4x + 12 = 3x + 16, what is x? (a) 28 (b) 5 (c) 4 (d) 6
  3. 3.If 3x + 24 = 57, what is x? (a) 27 (b) 11 (c) 12 (d) 33
  4. 4.If 4x + 19 = x + 22, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  5. 5.If 8x + 10 = 3x + 70, what is x? (a) 13 (b) 16 (c) 14 (d) 12
  6. 6.If 6x + 10 = 28, what is x? (a) 18 (b) 2 (c) 3 (d) 4
  7. 7.If x/6 + 2 = 10, what is x? (a) 58 (b) 8 (c) 48 (d) 72
  8. 8.If 3x + 8 = 32, what is x? (a) 8 (b) 7 (c) 9 (d) 24
  9. 9.If 4x + 18 = x + 45, what is x? (a) 11 (b) 10 (c) 9 (d) 21
  10. 10.If 3x + 14 = 23, what is x? (a) 9 (b) 2 (c) 3 (d) 4
  11. 11.If 4x + 2 = 50, what is x? (a) 48 (b) 12 (c) 13 (d) 11
  12. 12.If 8x − 22 = 58, what is x? (a) 80 (b) 10 (c) 9 (d) 11
  13. 13.If 7x + 6 = 5x + 12, what is x? (a) 9 (b) 4 (c) 5 (d) 3
  14. 14.If 4x + 20 = 52, what is x? (a) 8 (b) 18 (c) 32 (d) 9
  15. 15.If 2x + 23 = 53, what is x? (a) 30 (b) 38 (c) 16 (d) 15
  16. 16.If 5x + 17 = 4x + 28, what is x? (a) 11 (b) 12 (c) 45 (d) 13
  17. 17.If 6x − 63 = 15, what is x? (a) 78 (b) 13 (c) 12 (d) 14
  18. 18.If x/4 + 8 = 10, what is x? (a) 72 (b) 2 (c) 32 (d) 8
  19. 19.If 9x + 25 = 43, what is x? (a) 1 (b) 2 (c) 3 (d) 18
  20. 20.If 3x − 2 = 10, what is x? (a) 3 (b) 12 (c) 4 (d) 5
  21. 21.If x/4 + 2 = 5, what is x? (a) 28 (b) 12 (c) 18 (d) 3
  22. 22.If 4x + 12 = x + 48, what is x? (a) 13 (b) 20 (c) 14 (d) 12
  23. 23.If 3x + 30 = 66, what is x? (a) 32 (b) 12 (c) 36 (d) 13
  24. 24.If 6x − 79 = 11, what is x? (a) 90 (b) 14 (c) 15 (d) 16
  25. 25.If 6x + 9 = 69, what is x? (a) 10 (b) 11 (c) 60 (d) 13
  26. 26.If 5x + 5 = 40, what is x? (a) 8 (b) 9 (c) 7 (d) 35
  27. 27.If 3x − 8 = 7, what is x? (a) 4 (b) 6 (c) 15 (d) 5
  28. 28.If 4x + 8 = 3x + 20, what is x? (a) 13 (b) 28 (c) 12 (d) 14
  29. 29.If 5x − 11 = 14, what is x? (a) 6 (b) 5 (c) 4 (d) 25
  30. 30.If 3x + 16 = 40, what is x? (a) 9 (b) 8 (c) 24 (d) 7
  31. 31.If 6x − 2 = 52, what is x? (a) 10 (b) 54 (c) 9 (d) 8
  32. 32.If x/2 + 7 = 9, what is x? (a) 2 (b) 11 (c) 32 (d) 4
  33. 33.If 6x + 6 = x + 26, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  34. 34.If 4x − 18 = 22, what is x? (a) 11 (b) 1 (c) 10 (d) 40
  35. 35.If x/6 + 4 = 8, what is x? (a) 4 (b) 24 (c) 44 (d) 72
  36. 36.If 6x − 76 = 2, what is x? (a) 12 (b) 14 (c) 13 (d) 78
  37. 37.If 6x − 34 = 8, what is x? (a) 8 (b) 7 (c) 6 (d) 42
  38. 38.If 2x + 17 = 29, what is x? (a) 6 (b) 7 (c) 12 (d) 23
  39. 39.If 3x + 6 = 12, what is x? (a) 3 (b) 2 (c) 6 (d) 1
  40. 40.If 3x − 4 = 5, what is x? (a) 4 (b) 3 (c) 9 (d) 2

Answer key

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

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