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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 918 · 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 + 14 = 2x + 18, what is x? (a) 1 (b) 2 (c) 8 (d) 3
  2. 2.If 4x + 7 = x + 16, what is x? (a) 2 (b) 5 (c) 3 (d) 4
  3. 3.If 3x − 26 = 16, what is x? (a) 14 (b) 42 (c) 13 (d) 15
  4. 4.If 2x − 12 = 4, what is x? (a) 9 (b) 16 (c) 7 (d) 8
  5. 5.If x/3 + 8 = 19, what is x? (a) 11 (b) 33 (c) 81 (d) 49
  6. 6.If 3x + 22 = 37, what is x? (a) 6 (b) 4 (c) 5 (d) 15
  7. 7.If 4x + 19 = 3x + 26, what is x? (a) 1 (b) 45 (c) 8 (d) 7
  8. 8.If 6x − 3 = 15, what is x? (a) 18 (b) 2 (c) 4 (d) 3
  9. 9.If x/5 + 10 = 17, what is x? (a) 75 (b) 35 (c) 135 (d) 7
  10. 10.If 5x + 19 = 2x + 34, what is x? (a) 5 (b) 7 (c) 4 (d) 6
  11. 11.If x/6 + 13 = 22, what is x? (a) 210 (b) 54 (c) 9 (d) 119
  12. 12.If 7x − 19 = 2, what is x? (a) 4 (b) 2 (c) 21 (d) 3
  13. 13.If 2x + 4 = 32, what is x? (a) 14 (b) 28 (c) 18 (d) 15
  14. 14.If 9x + 3 = 6x + 30, what is x? (a) 9 (b) 10 (c) 11 (d) 8
  15. 15.If 2x − 1 = 27, what is x? (a) 15 (b) 14 (c) 28 (d) 13
  16. 16.If 9x + 1 = 136, what is x? (a) 135 (b) 16 (c) 15 (d) 14
  17. 17.If 7x + 13 = 4x + 43, what is x? (a) 11 (b) 10 (c) 12 (d) 9
  18. 18.If x/3 + 14 = 17, what is x? (a) 9 (b) 37 (c) 93 (d) 3
  19. 19.If x/5 + 4 = 8, what is x? (a) 36 (b) 4 (c) 20 (d) 60
  20. 20.If x/3 + 7 = 16, what is x? (a) 9 (b) 69 (c) 41 (d) 27
  21. 21.If x/5 + 14 = 26, what is x? (a) 200 (b) 116 (c) 60 (d) 12
  22. 22.If x/5 + 13 = 16, what is x? (a) 15 (b) 145 (c) 3 (d) 67
  23. 23.If 3x + 20 = 47, what is x? (a) 9 (b) 8 (c) 10 (d) 27
  24. 24.If 5x + 8 = 4x + 9, what is x? (a) 2 (b) 3 (c) 17 (d) 1
  25. 25.If 8x + 9 = 6x + 31, what is x? (a) 12 (b) 13 (c) 20 (d) 11
  26. 26.If 9x + 8 = x + 96, what is x? (a) 12 (b) 10 (c) 11 (d) 13
  27. 27.If 2x − 5 = 25, what is x? (a) 30 (b) 15 (c) 16 (d) 10
  28. 28.If 9x + 22 = 121, what is x? (a) 11 (b) 99 (c) 10 (d) 12
  29. 29.If 8x − 2 = 110, what is x? (a) 13 (b) 14 (c) 112 (d) 15
  30. 30.If 7x + 7 = 98, what is x? (a) 91 (b) 15 (c) 13 (d) 14
  31. 31.If 5x + 6 = x + 14, what is x? (a) 3 (b) 5 (c) 4 (d) 2
  32. 32.If x/4 + 5 = 15, what is x? (a) 80 (b) 40 (c) 55 (d) 10
  33. 33.If 3x + 2 = 32, what is x? (a) 11 (b) 30 (c) 9 (d) 10
  34. 34.If 9x + 23 = 41, what is x? (a) 3 (b) 2 (c) 18 (d) 1
  35. 35.If 9x − 77 = 13, what is x? (a) 11 (b) 90 (c) 9 (d) 10
  36. 36.If 4x + 8 = x + 11, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  37. 37.If x/3 + 6 = 15, what is x? (a) 9 (b) 39 (c) 63 (d) 27
  38. 38.If 7x − 3 = 81, what is x? (a) 12 (b) 84 (c) 13 (d) 11
  39. 39.If 6x + 28 = 118, what is x? (a) 90 (b) 14 (c) 15 (d) 16
  40. 40.If x/2 + 15 = 20, what is x? (a) 25 (b) 5 (c) 70 (d) 10

Answer key

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

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