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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 893 · 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 + 2 = 2x + 10, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  2. 2.If 9x − 15 = 12, what is x? (a) 3 (b) 27 (c) 4 (d) 2
  3. 3.If 6x + 26 = 104, what is x? (a) 12 (b) 13 (c) 14 (d) 78
  4. 4.If 6x − 74 = 4, what is x? (a) 14 (b) 12 (c) 78 (d) 13
  5. 5.If 7x − 25 = 80, what is x? (a) 16 (b) 14 (c) 105 (d) 15
  6. 6.If 2x + 25 = 33, what is x? (a) 5 (b) 4 (c) 29 (d) 8
  7. 7.If 8x + 4 = 68, what is x? (a) 7 (b) 8 (c) 64 (d) 9
  8. 8.If x/2 + 10 = 16, what is x? (a) 22 (b) 6 (c) 52 (d) 12
  9. 9.If x/6 + 12 = 17, what is x? (a) 90 (b) 30 (c) 174 (d) 5
  10. 10.If 8x + 21 = 37, what is x? (a) 3 (b) 1 (c) 2 (d) 16
  11. 11.If 7x + 17 = 4x + 20, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  12. 12.If 9x + 1 = 19, what is x? (a) 3 (b) 2 (c) 1 (d) 18
  13. 13.If 5x + 14 = x + 34, what is x? (a) 5 (b) 6 (c) 12 (d) 7
  14. 14.If 4x + 17 = x + 41, what is x? (a) 9 (b) 8 (c) 10 (d) 7
  15. 15.If 4x − 14 = 34, what is x? (a) 48 (b) 13 (c) 12 (d) 5
  16. 16.If 5x + 28 = 98, what is x? (a) 70 (b) 13 (c) 15 (d) 14
  17. 17.If 5x + 3 = 2x + 15, what is x? (a) 6 (b) 4 (c) 5 (d) 3
  18. 18.If 7x − 22 = 41, what is x? (a) 63 (b) 10 (c) 9 (d) 8
  19. 19.If 7x + 23 = 107, what is x? (a) 12 (b) 13 (c) 84 (d) 11
  20. 20.If 2x − 14 = 8, what is x? (a) 12 (b) 11 (c) 22 (d) 10
  21. 21.If 9x + 3 = 30, what is x? (a) 3 (b) 27 (c) 2 (d) 4
  22. 22.If 3x + 13 = 2x + 18, what is x? (a) 5 (b) 31 (c) 1 (d) 6
  23. 23.If x/2 + 13 = 17, what is x? (a) 60 (b) 8 (c) 21 (d) 4
  24. 24.If 6x − 45 = 3, what is x? (a) 7 (b) 48 (c) 8 (d) 9
  25. 25.If 7x − 20 = 43, what is x? (a) 8 (b) 9 (c) 10 (d) 63
  26. 26.If x/6 + 10 = 12, what is x? (a) 2 (b) 62 (c) 132 (d) 12
  27. 27.If 8x + 9 = 89, what is x? (a) 10 (b) 9 (c) 80 (d) 11
  28. 28.If 2x + 17 = 27, what is x? (a) 22 (b) 6 (c) 5 (d) 10
  29. 29.If 6x + 8 = 98, what is x? (a) 14 (b) 15 (c) 90 (d) 16
  30. 30.If x/5 + 4 = 7, what is x? (a) 15 (b) 3 (c) 55 (d) 31
  31. 31.If 6x − 33 = 15, what is x? (a) 9 (b) 48 (c) 8 (d) 7
  32. 32.If 8x + 14 = 70, what is x? (a) 8 (b) 56 (c) 6 (d) 7
  33. 33.If 4x + 8 = 32, what is x? (a) 7 (b) 6 (c) 24 (d) 10
  34. 34.If 8x + 5 = x + 19, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  35. 35.If 8x + 8 = 56, what is x? (a) 6 (b) 48 (c) 8 (d) 7
  36. 36.If 6x + 20 = 2x + 64, what is x? (a) 21 (b) 12 (c) 11 (d) 13
  37. 37.If 3x + 2 = 2x + 9, what is x? (a) 7 (b) 9 (c) 8 (d) 11
  38. 38.If 9x + 1 = x + 17, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  39. 39.If 7x + 8 = 5x + 16, what is x? (a) 6 (b) 12 (c) 4 (d) 5
  40. 40.If 4x + 5 = x + 41, what is x? (a) 14 (b) 11 (c) 12 (d) 13

Answer key

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

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