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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 915 · 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 2x + 6 = 32, what is x? (a) 19 (b) 26 (c) 14 (d) 13
  2. 2.If 4x + 25 = 61, what is x? (a) 8 (b) 10 (c) 9 (d) 36
  3. 3.If 6x + 20 = 5x + 30, what is x? (a) 10 (b) 12 (c) 11 (d) 50
  4. 4.If 4x + 16 = 72, what is x? (a) 22 (b) 14 (c) 15 (d) 56
  5. 5.If 8x − 10 = 54, what is x? (a) 7 (b) 64 (c) 9 (d) 8
  6. 6.If x/6 + 2 = 10, what is x? (a) 48 (b) 72 (c) 58 (d) 8
  7. 7.If 8x + 20 = 132, what is x? (a) 112 (b) 15 (c) 19 (d) 14
  8. 8.If x/3 + 3 = 11, what is x? (a) 24 (b) 42 (c) 8 (d) 30
  9. 9.If x/3 + 6 = 9, what is x? (a) 21 (b) 3 (c) 45 (d) 9
  10. 10.If x/5 + 14 = 19, what is x? (a) 165 (b) 81 (c) 5 (d) 25
  11. 11.If 6x + 7 = 73, what is x? (a) 12 (b) 10 (c) 66 (d) 11
  12. 12.If 5x + 19 = 3x + 41, what is x? (a) 12 (b) 13 (c) 30 (d) 11
  13. 13.If 6x − 13 = 5, what is x? (a) 18 (b) 4 (c) 3 (d) 2
  14. 14.If x/5 + 11 = 14, what is x? (a) 59 (b) 3 (c) 15 (d) 125
  15. 15.If 6x − 9 = 27, what is x? (a) 3 (b) 36 (c) 7 (d) 6
  16. 16.If 9x + 24 = 69, what is x? (a) 6 (b) 45 (c) 5 (d) 4
  17. 17.If x/3 + 7 = 15, what is x? (a) 38 (b) 24 (c) 66 (d) 8
  18. 18.If 5x + 6 = 16, what is x? (a) 2 (b) 1 (c) 3 (d) 10
  19. 19.If x/2 + 3 = 9, what is x? (a) 24 (b) 12 (c) 15 (d) 6
  20. 20.If 4x + 5 = x + 8, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  21. 21.If 2x + 9 = 27, what is x? (a) 18 (b) 10 (c) 8 (d) 9
  22. 22.If 9x + 5 = 131, what is x? (a) 126 (b) 15 (c) 13 (d) 14
  23. 23.If x/5 + 8 = 14, what is x? (a) 6 (b) 110 (c) 62 (d) 30
  24. 24.If 5x − 48 = 7, what is x? (a) 55 (b) 12 (c) 10 (d) 11
  25. 25.If x/4 + 15 = 23, what is x? (a) 77 (b) 152 (c) 32 (d) 8
  26. 26.If 6x + 17 = 83, what is x? (a) 10 (b) 11 (c) 66 (d) 12
  27. 27.If 3x − 1 = 5, what is x? (a) 6 (b) 3 (c) 1 (d) 2
  28. 28.If 3x − 16 = 5, what is x? (a) 21 (b) 7 (c) 6 (d) 8
  29. 29.If 7x − 22 = 76, what is x? (a) 98 (b) 14 (c) 13 (d) 15
  30. 30.If 8x − 23 = 9, what is x? (a) 4 (b) 5 (c) 32 (d) 3
  31. 31.If x/2 + 9 = 13, what is x? (a) 17 (b) 8 (c) 4 (d) 44
  32. 32.If x/5 + 11 = 22, what is x? (a) 99 (b) 55 (c) 165 (d) 11
  33. 33.If x/2 + 9 = 14, what is x? (a) 19 (b) 46 (c) 5 (d) 10
  34. 34.If x/5 + 15 = 23, what is x? (a) 8 (b) 190 (c) 100 (d) 40
  35. 35.If 2x − 21 = 5, what is x? (a) 26 (b) 12 (c) 13 (d) 14
  36. 36.If 9x + 18 = x + 98, what is x? (a) 11 (b) 8 (c) 12 (d) 10
  37. 37.If 3x + 2 = 23, what is x? (a) 7 (b) 6 (c) 21 (d) 8
  38. 38.If 9x + 7 = 2x + 35, what is x? (a) 6 (b) 5 (c) 3 (d) 4
  39. 39.If 9x + 2 = 110, what is x? (a) 13 (b) 11 (c) 108 (d) 12
  40. 40.If 4x + 2 = 2x + 4, what is x? (a) 3 (b) 1 (c) 4 (d) 2

Answer key

  1. 13
  2. 9
  3. 10
  4. 14
  5. 8
  6. 48
  7. 14
  8. 24
  9. 9
  10. 25
  11. 11
  12. 11
  13. 3
  14. 15
  15. 6
  16. 5
  17. 24
  18. 2
  19. 12
  20. 1
  21. 9
  22. 14
  23. 30
  24. 11
  25. 32
  26. 11
  27. 2
  28. 7
  29. 14
  30. 4
  31. 8
  32. 55
  33. 10
  34. 40
  35. 13
  36. 10
  37. 7
  38. 4
  39. 12
  40. 1

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