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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 920 · 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 + 6 = 5x + 9, what is x? (a) 3 (b) 15 (c) 5 (d) 4
  2. 2.If 6x + 10 = 64, what is x? (a) 54 (b) 8 (c) 10 (d) 9
  3. 3.If x/4 + 8 = 17, what is x? (a) 100 (b) 9 (c) 60 (d) 36
  4. 4.If 6x + 10 = 40, what is x? (a) 5 (b) 6 (c) 4 (d) 30
  5. 5.If x/5 + 7 = 11, what is x? (a) 90 (b) 48 (c) 4 (d) 20
  6. 6.If 4x − 4 = 8, what is x? (a) 12 (b) 1 (c) 4 (d) 3
  7. 7.If 9x − 3 = 33, what is x? (a) 3 (b) 5 (c) 36 (d) 4
  8. 8.If x/3 + 6 = 9, what is x? (a) 3 (b) 45 (c) 21 (d) 9
  9. 9.If 8x + 20 = 4x + 64, what is x? (a) 11 (b) 12 (c) 21 (d) 13
  10. 10.If 4x + 7 = 2x + 31, what is x? (a) 13 (b) 4 (c) 12 (d) 19
  11. 11.If 4x + 25 = 57, what is x? (a) 7 (b) 32 (c) 9 (d) 8
  12. 12.If 6x + 4 = x + 9, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  13. 13.If 3x + 7 = x + 15, what is x? (a) 5 (b) 4 (c) 11 (d) 2
  14. 14.If 2x − 4 = 8, what is x? (a) 6 (b) 2 (c) 12 (d) 7
  15. 15.If x/4 + 15 = 21, what is x? (a) 144 (b) 6 (c) 69 (d) 24
  16. 16.If x/2 + 1 = 12, what is x? (a) 23 (b) 22 (c) 26 (d) 11
  17. 17.If 7x − 40 = 23, what is x? (a) 10 (b) 63 (c) 8 (d) 9
  18. 18.If 3x + 14 = x + 30, what is x? (a) 22 (b) 9 (c) 8 (d) 4
  19. 19.If 3x − 18 = 15, what is x? (a) 33 (b) 10 (c) 11 (d) 12
  20. 20.If 7x − 7 = 14, what is x? (a) 4 (b) 3 (c) 1 (d) 21
  21. 21.If 3x + 1 = 2x + 2, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  22. 22.If 3x + 8 = 2x + 13, what is x? (a) 21 (b) 5 (c) 1 (d) 6
  23. 23.If 7x + 7 = 98, what is x? (a) 15 (b) 13 (c) 91 (d) 14
  24. 24.If 5x + 12 = 3x + 34, what is x? (a) 23 (b) 12 (c) 13 (d) 11
  25. 25.If x/4 + 13 = 21, what is x? (a) 8 (b) 71 (c) 136 (d) 32
  26. 26.If x/3 + 4 = 13, what is x? (a) 27 (b) 35 (c) 9 (d) 51
  27. 27.If 9x + 6 = 51, what is x? (a) 5 (b) 4 (c) 45 (d) 6
  28. 28.If x/5 + 7 = 10, what is x? (a) 15 (b) 85 (c) 3 (d) 43
  29. 29.If 8x + 6 = 94, what is x? (a) 12 (b) 10 (c) 11 (d) 88
  30. 30.If 4x + 16 = 3x + 17, what is x? (a) 1 (b) 2 (c) 33 (d) 3
  31. 31.If x/2 + 5 = 14, what is x? (a) 23 (b) 38 (c) 18 (d) 9
  32. 32.If 8x + 2 = x + 44, what is x? (a) 6 (b) 5 (c) 7 (d) 8
  33. 33.If 8x + 13 = x + 34, what is x? (a) 2 (b) 5 (c) 3 (d) 4
  34. 34.If 3x − 4 = 11, what is x? (a) 4 (b) 6 (c) 5 (d) 15
  35. 35.If 4x − 47 = 13, what is x? (a) 15 (b) 16 (c) 60 (d) 14
  36. 36.If 6x + 21 = 51, what is x? (a) 6 (b) 30 (c) 5 (d) 12
  37. 37.If 9x + 4 = 7x + 10, what is x? (a) 4 (b) 3 (c) 5 (d) 7
  38. 38.If 5x + 6 = 4x + 15, what is x? (a) 21 (b) 10 (c) 9 (d) 1
  39. 39.If 8x − 31 = 17, what is x? (a) 48 (b) 5 (c) 6 (d) 7
  40. 40.If x/4 + 4 = 8, what is x? (a) 28 (b) 48 (c) 4 (d) 16

Answer key

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

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