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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 982 · 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/6 + 13 = 23, what is x? (a) 60 (b) 216 (c) 10 (d) 125
  2. 2.If 9x + 16 = 3x + 58, what is x? (a) 9 (b) 6 (c) 7 (d) 8
  3. 3.If 3x + 8 = 53, what is x? (a) 14 (b) 15 (c) 45 (d) 16
  4. 4.If 6x + 3 = 81, what is x? (a) 14 (b) 78 (c) 13 (d) 12
  5. 5.If 5x + 14 = 3x + 20, what is x? (a) 17 (b) 5 (c) 4 (d) 3
  6. 6.If 3x + 3 = 12, what is x? (a) 5 (b) 4 (c) 9 (d) 3
  7. 7.If 9x + 17 = 4x + 77, what is x? (a) 13 (b) 11 (c) 14 (d) 12
  8. 8.If 8x + 16 = 6x + 34, what is x? (a) 9 (b) 11 (c) 10 (d) 25
  9. 9.If x/4 + 9 = 12, what is x? (a) 84 (b) 3 (c) 39 (d) 12
  10. 10.If 9x + 9 = 7x + 15, what is x? (a) 12 (b) 5 (c) 4 (d) 3
  11. 11.If 6x + 11 = 89, what is x? (a) 12 (b) 14 (c) 78 (d) 13
  12. 12.If 5x + 4 = 74, what is x? (a) 14 (b) 70 (c) 13 (d) 15
  13. 13.If x/6 + 7 = 9, what is x? (a) 96 (b) 47 (c) 2 (d) 12
  14. 14.If 2x + 20 = 44, what is x? (a) 13 (b) 24 (c) 12 (d) 32
  15. 15.If 6x − 6 = 12, what is x? (a) 4 (b) 18 (c) 1 (d) 3
  16. 16.If x/6 + 15 = 20, what is x? (a) 105 (b) 210 (c) 5 (d) 30
  17. 17.If x/3 + 3 = 6, what is x? (a) 9 (b) 3 (c) 15 (d) 27
  18. 18.If x/5 + 15 = 17, what is x? (a) 10 (b) 160 (c) 70 (d) 2
  19. 19.If 2x − 4 = 2, what is x? (a) 4 (b) 6 (c) 3 (d) 2
  20. 20.If 7x + 26 = 54, what is x? (a) 28 (b) 5 (c) 4 (d) 3
  21. 21.If 3x − 8 = 19, what is x? (a) 10 (b) 9 (c) 27 (d) 8
  22. 22.If x/4 + 11 = 22, what is x? (a) 132 (b) 44 (c) 77 (d) 11
  23. 23.If 3x + 9 = 2x + 14, what is x? (a) 1 (b) 5 (c) 6 (d) 23
  24. 24.If 9x + 21 = 147, what is x? (a) 15 (b) 14 (c) 13 (d) 126
  25. 25.If 3x + 30 = 48, what is x? (a) 7 (b) 26 (c) 18 (d) 6
  26. 26.If x/4 + 13 = 18, what is x? (a) 20 (b) 59 (c) 124 (d) 5
  27. 27.If 8x + 20 = 4x + 32, what is x? (a) 1 (b) 4 (c) 13 (d) 3
  28. 28.If x/3 + 3 = 14, what is x? (a) 39 (b) 11 (c) 33 (d) 51
  29. 29.If x/5 + 2 = 9, what is x? (a) 43 (b) 55 (c) 7 (d) 35
  30. 30.If x/2 + 11 = 19, what is x? (a) 27 (b) 60 (c) 8 (d) 16
  31. 31.If 9x + 14 = 6x + 44, what is x? (a) 12 (b) 2 (c) 11 (d) 10
  32. 32.If 2x + 3 = 29, what is x? (a) 13 (b) 14 (c) 16 (d) 26
  33. 33.If 7x + 27 = 69, what is x? (a) 42 (b) 6 (c) 7 (d) 5
  34. 34.If 5x − 4 = 21, what is x? (a) 6 (b) 25 (c) 5 (d) 4
  35. 35.If 5x + 20 = 3x + 30, what is x? (a) 5 (b) 6 (c) 25 (d) 7
  36. 36.If 9x + 1 = 2x + 85, what is x? (a) 12 (b) 11 (c) 14 (d) 13
  37. 37.If 2x − 2 = 2, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  38. 38.If 8x + 8 = 32, what is x? (a) 4 (b) 3 (c) 24 (d) 5
  39. 39.If 2x + 17 = 37, what is x? (a) 27 (b) 11 (c) 20 (d) 10
  40. 40.If 7x + 8 = 2x + 33, what is x? (a) 6 (b) 4 (c) 5 (d) 7

Answer key

  1. 60
  2. 7
  3. 15
  4. 13
  5. 3
  6. 3
  7. 12
  8. 9
  9. 12
  10. 3
  11. 13
  12. 14
  13. 12
  14. 12
  15. 3
  16. 30
  17. 9
  18. 10
  19. 3
  20. 4
  21. 9
  22. 44
  23. 5
  24. 14
  25. 6
  26. 20
  27. 3
  28. 33
  29. 35
  30. 16
  31. 10
  32. 13
  33. 6
  34. 5
  35. 5
  36. 12
  37. 2
  38. 3
  39. 10
  40. 5

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