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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 890 · 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 9x + 6 = 51, what is x? (a) 4 (b) 6 (c) 45 (d) 5
  2. 2.If 4x + 11 = 2x + 19, what is x? (a) 6 (b) 5 (c) 15 (d) 4
  3. 3.If x/5 + 8 = 12, what is x? (a) 100 (b) 52 (c) 20 (d) 4
  4. 4.If 8x + 6 = 7x + 16, what is x? (a) 11 (b) 22 (c) 12 (d) 10
  5. 5.If x/2 + 9 = 12, what is x? (a) 42 (b) 3 (c) 6 (d) 15
  6. 6.If 8x + 5 = x + 19, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  7. 7.If 5x + 5 = x + 49, what is x? (a) 10 (b) 13 (c) 11 (d) 12
  8. 8.If x/6 + 9 = 20, what is x? (a) 174 (b) 111 (c) 11 (d) 66
  9. 9.If x/2 + 4 = 13, what is x? (a) 9 (b) 22 (c) 34 (d) 18
  10. 10.If 4x + 21 = 77, what is x? (a) 14 (b) 56 (c) 13 (d) 15
  11. 11.If 7x − 10 = 32, what is x? (a) 7 (b) 5 (c) 42 (d) 6
  12. 12.If 6x + 11 = 83, what is x? (a) 13 (b) 12 (c) 11 (d) 72
  13. 13.If 3x − 5 = 1, what is x? (a) 3 (b) 6 (c) 2 (d) 1
  14. 14.If 4x + 16 = 2x + 18, what is x? (a) 17 (b) 3 (c) 1 (d) 2
  15. 15.If x/3 + 6 = 17, what is x? (a) 45 (b) 11 (c) 69 (d) 33
  16. 16.If 4x + 29 = 53, what is x? (a) 5 (b) 24 (c) 7 (d) 6
  17. 17.If 6x + 20 = 4x + 44, what is x? (a) 32 (b) 14 (c) 13 (d) 12
  18. 18.If 4x + 30 = 50, what is x? (a) 6 (b) 20 (c) 5 (d) 4
  19. 19.If x/2 + 7 = 15, what is x? (a) 16 (b) 23 (c) 44 (d) 8
  20. 20.If 2x − 3 = 21, what is x? (a) 9 (b) 24 (c) 12 (d) 13
  21. 21.If 2x − 7 = 11, what is x? (a) 9 (b) 18 (c) 10 (d) 2
  22. 22.If x/2 + 7 = 16, what is x? (a) 25 (b) 46 (c) 9 (d) 18
  23. 23.If 5x + 6 = 2x + 12, what is x? (a) 3 (b) 4 (c) 6 (d) 2
  24. 24.If 5x − 40 = 5, what is x? (a) 9 (b) 10 (c) 8 (d) 45
  25. 25.If 3x − 1 = 20, what is x? (a) 7 (b) 6 (c) 8 (d) 21
  26. 26.If 4x + 11 = 2x + 25, what is x? (a) 7 (b) 9 (c) 8 (d) 18
  27. 27.If 5x + 28 = 83, what is x? (a) 10 (b) 11 (c) 55 (d) 12
  28. 28.If 5x − 10 = 5, what is x? (a) 2 (b) 3 (c) 4 (d) 15
  29. 29.If x/5 + 7 = 12, what is x? (a) 5 (b) 95 (c) 25 (d) 53
  30. 30.If 7x + 5 = 61, what is x? (a) 9 (b) 7 (c) 8 (d) 56
  31. 31.If 7x − 10 = 46, what is x? (a) 7 (b) 56 (c) 8 (d) 9
  32. 32.If 2x + 16 = 30, what is x? (a) 8 (b) 23 (c) 14 (d) 7
  33. 33.If x/4 + 7 = 11, what is x? (a) 72 (b) 4 (c) 16 (d) 37
  34. 34.If 5x − 22 = 3, what is x? (a) 25 (b) 5 (c) 4 (d) 6
  35. 35.If 8x − 21 = 11, what is x? (a) 5 (b) 3 (c) 4 (d) 32
  36. 36.If x/5 + 3 = 5, what is x? (a) 40 (b) 2 (c) 10 (d) 22
  37. 37.If 7x + 7 = 6x + 14, what is x? (a) 9 (b) 21 (c) 7 (d) 8
  38. 38.If 8x + 1 = 89, what is x? (a) 12 (b) 88 (c) 10 (d) 11
  39. 39.If x/5 + 13 = 23, what is x? (a) 180 (b) 50 (c) 102 (d) 10
  40. 40.If x/6 + 6 = 13, what is x? (a) 72 (b) 42 (c) 7 (d) 114

Answer key

  1. 5
  2. 4
  3. 20
  4. 10
  5. 6
  6. 2
  7. 11
  8. 66
  9. 18
  10. 14
  11. 6
  12. 12
  13. 2
  14. 1
  15. 33
  16. 6
  17. 12
  18. 5
  19. 16
  20. 12
  21. 9
  22. 18
  23. 2
  24. 9
  25. 7
  26. 7
  27. 11
  28. 3
  29. 25
  30. 8
  31. 8
  32. 7
  33. 16
  34. 5
  35. 4
  36. 10
  37. 7
  38. 11
  39. 50
  40. 42

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