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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 869 · 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 x/4 + 12 = 18, what is x? (a) 60 (b) 24 (c) 6 (d) 120
  2. 2.If 6x − 31 = 23, what is x? (a) 54 (b) 9 (c) 10 (d) 8
  3. 3.If x/5 + 11 = 23, what is x? (a) 104 (b) 60 (c) 170 (d) 12
  4. 4.If 2x + 16 = 34, what is x? (a) 18 (b) 25 (c) 9 (d) 10
  5. 5.If 5x − 2 = 13, what is x? (a) 3 (b) 2 (c) 4 (d) 15
  6. 6.If 4x − 18 = 22, what is x? (a) 10 (b) 1 (c) 40 (d) 11
  7. 7.If 4x − 7 = 5, what is x? (a) 4 (b) 3 (c) 2 (d) 12
  8. 8.If x/6 + 10 = 19, what is x? (a) 9 (b) 174 (c) 104 (d) 54
  9. 9.If x/4 + 1 = 11, what is x? (a) 48 (b) 40 (c) 43 (d) 10
  10. 10.If 8x + 20 = 5x + 29, what is x? (a) 2 (b) 4 (c) 3 (d) 5
  11. 11.If 4x + 12 = 3x + 17, what is x? (a) 5 (b) 29 (c) 7 (d) 6
  12. 12.If 5x − 13 = 57, what is x? (a) 70 (b) 13 (c) 15 (d) 14
  13. 13.If x/5 + 9 = 14, what is x? (a) 61 (b) 25 (c) 115 (d) 5
  14. 14.If 3x + 19 = 52, what is x? (a) 12 (b) 10 (c) 11 (d) 33
  15. 15.If 5x + 21 = 56, what is x? (a) 35 (b) 8 (c) 6 (d) 7
  16. 16.If 5x − 12 = 38, what is x? (a) 11 (b) 10 (c) 9 (d) 50
  17. 17.If 8x + 7 = 6x + 17, what is x? (a) 6 (b) 5 (c) 7 (d) 12
  18. 18.If 3x − 21 = 12, what is x? (a) 10 (b) 12 (c) 33 (d) 11
  19. 19.If 3x + 7 = 34, what is x? (a) 8 (b) 10 (c) 9 (d) 27
  20. 20.If 7x − 18 = 17, what is x? (a) 4 (b) 6 (c) 5 (d) 35
  21. 21.If x/3 + 11 = 21, what is x? (a) 52 (b) 30 (c) 10 (d) 96
  22. 22.If 3x − 6 = 33, what is x? (a) 9 (b) 13 (c) 14 (d) 39
  23. 23.If 6x + 2 = 68, what is x? (a) 12 (b) 11 (c) 66 (d) 10
  24. 24.If 6x − 23 = 55, what is x? (a) 14 (b) 12 (c) 78 (d) 13
  25. 25.If x/3 + 14 = 22, what is x? (a) 52 (b) 108 (c) 8 (d) 24
  26. 26.If 7x − 80 = 18, what is x? (a) 13 (b) 14 (c) 15 (d) 98
  27. 27.If 7x − 39 = 31, what is x? (a) 70 (b) 9 (c) 11 (d) 10
  28. 28.If 8x + 5 = 117, what is x? (a) 112 (b) 13 (c) 15 (d) 14
  29. 29.If 4x + 29 = 45, what is x? (a) 16 (b) 4 (c) 3 (d) 5
  30. 30.If 5x + 18 = 2x + 27, what is x? (a) 15 (b) 4 (c) 5 (d) 3
  31. 31.If 4x + 12 = 2x + 18, what is x? (a) 4 (b) 3 (c) 15 (d) 1
  32. 32.If 4x − 14 = 30, what is x? (a) 44 (b) 4 (c) 11 (d) 12
  33. 33.If 9x + 18 = 117, what is x? (a) 11 (b) 99 (c) 15 (d) 12
  34. 34.If x/3 + 1 = 8, what is x? (a) 7 (b) 23 (c) 21 (d) 27
  35. 35.If 9x + 4 = x + 28, what is x? (a) 2 (b) 5 (c) 4 (d) 3
  36. 36.If 4x + 20 = 2x + 32, what is x? (a) 6 (b) 7 (c) 26 (d) 2
  37. 37.If 2x + 3 = 19, what is x? (a) 9 (b) 11 (c) 8 (d) 16
  38. 38.If 8x + 15 = 79, what is x? (a) 64 (b) 9 (c) 7 (d) 8
  39. 39.If 4x + 13 = 2x + 21, what is x? (a) 5 (b) 17 (c) 6 (d) 4
  40. 40.If 9x + 14 = 5x + 46, what is x? (a) 15 (b) 10 (c) 8 (d) 9

Answer key

  1. 24
  2. 9
  3. 60
  4. 9
  5. 3
  6. 10
  7. 3
  8. 54
  9. 40
  10. 3
  11. 5
  12. 14
  13. 25
  14. 11
  15. 7
  16. 10
  17. 5
  18. 11
  19. 9
  20. 5
  21. 30
  22. 13
  23. 11
  24. 13
  25. 24
  26. 14
  27. 10
  28. 14
  29. 4
  30. 3
  31. 3
  32. 11
  33. 11
  34. 21
  35. 3
  36. 6
  37. 8
  38. 8
  39. 4
  40. 8

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