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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 852 · 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/3 + 9 = 14, what is x? (a) 69 (b) 5 (c) 33 (d) 15
  2. 2.If 7x + 19 = 6x + 26, what is x? (a) 45 (b) 7 (c) 9 (d) 8
  3. 3.If 6x − 11 = 13, what is x? (a) 24 (b) 4 (c) 5 (d) 3
  4. 4.If 3x − 7 = 5, what is x? (a) 5 (b) 3 (c) 4 (d) 12
  5. 5.If x/4 + 3 = 6, what is x? (a) 21 (b) 36 (c) 3 (d) 12
  6. 6.If 7x + 11 = 2x + 31, what is x? (a) 3 (b) 4 (c) 5 (d) 6
  7. 7.If 6x − 34 = 56, what is x? (a) 90 (b) 14 (c) 16 (d) 15
  8. 8.If x/3 + 6 = 8, what is x? (a) 2 (b) 18 (c) 42 (d) 6
  9. 9.If 7x + 5 = 6x + 14, what is x? (a) 19 (b) 9 (c) 10 (d) 11
  10. 10.If 4x − 39 = 21, what is x? (a) 14 (b) 15 (c) 60 (d) 16
  11. 11.If x/6 + 2 = 13, what is x? (a) 76 (b) 66 (c) 11 (d) 90
  12. 12.If 6x − 1 = 47, what is x? (a) 7 (b) 8 (c) 48 (d) 9
  13. 13.If 5x + 10 = 3x + 34, what is x? (a) 3 (b) 13 (c) 22 (d) 12
  14. 14.If 2x + 16 = 24, what is x? (a) 20 (b) 8 (c) 5 (d) 4
  15. 15.If 9x + 17 = 5x + 53, what is x? (a) 11 (b) 10 (c) 8 (d) 9
  16. 16.If 5x + 11 = 2x + 23, what is x? (a) 4 (b) 5 (c) 3 (d) 6
  17. 17.If 4x + 21 = 41, what is x? (a) 20 (b) 6 (c) 4 (d) 5
  18. 18.If 7x − 30 = 5, what is x? (a) 4 (b) 35 (c) 6 (d) 5
  19. 19.If 2x + 9 = 19, what is x? (a) 5 (b) 10 (c) 6 (d) 14
  20. 20.If 2x + 10 = 22, what is x? (a) 12 (b) 7 (c) 16 (d) 6
  21. 21.If 9x + 7 = 43, what is x? (a) 3 (b) 5 (c) 36 (d) 4
  22. 22.If 4x + 29 = 65, what is x? (a) 36 (b) 9 (c) 10 (d) 8
  23. 23.If 9x + 16 = 61, what is x? (a) 4 (b) 6 (c) 5 (d) 45
  24. 24.If x/4 + 9 = 16, what is x? (a) 7 (b) 100 (c) 55 (d) 28
  25. 25.If 9x + 16 = 52, what is x? (a) 36 (b) 3 (c) 4 (d) 5
  26. 26.If x/6 + 7 = 19, what is x? (a) 107 (b) 156 (c) 72 (d) 12
  27. 27.If 5x + 9 = x + 53, what is x? (a) 13 (b) 11 (c) 12 (d) 10
  28. 28.If 6x − 41 = 31, what is x? (a) 13 (b) 72 (c) 11 (d) 12
  29. 29.If 3x + 6 = 51, what is x? (a) 16 (b) 19 (c) 45 (d) 15
  30. 30.If 6x + 19 = 37, what is x? (a) 2 (b) 18 (c) 4 (d) 3
  31. 31.If 6x + 6 = 60, what is x? (a) 11 (b) 9 (c) 10 (d) 54
  32. 32.If 9x − 102 = 15, what is x? (a) 14 (b) 12 (c) 117 (d) 13
  33. 33.If 9x + 24 = 42, what is x? (a) 2 (b) 1 (c) 18 (d) 3
  34. 34.If 2x + 18 = 24, what is x? (a) 21 (b) 4 (c) 3 (d) 6
  35. 35.If x/6 + 6 = 9, what is x? (a) 18 (b) 90 (c) 3 (d) 48
  36. 36.If 7x + 24 = 94, what is x? (a) 70 (b) 11 (c) 10 (d) 9
  37. 37.If 9x + 16 = 34, what is x? (a) 3 (b) 18 (c) 1 (d) 2
  38. 38.If x/5 + 10 = 20, what is x? (a) 150 (b) 50 (c) 90 (d) 10
  39. 39.If 8x − 16 = 40, what is x? (a) 56 (b) 7 (c) 8 (d) 3
  40. 40.If x/6 + 4 = 13, what is x? (a) 9 (b) 102 (c) 74 (d) 54

Answer key

  1. 15
  2. 7
  3. 4
  4. 4
  5. 12
  6. 4
  7. 15
  8. 6
  9. 9
  10. 15
  11. 66
  12. 8
  13. 12
  14. 4
  15. 9
  16. 4
  17. 5
  18. 5
  19. 5
  20. 6
  21. 4
  22. 9
  23. 5
  24. 28
  25. 4
  26. 72
  27. 11
  28. 12
  29. 15
  30. 3
  31. 9
  32. 13
  33. 2
  34. 3
  35. 18
  36. 10
  37. 2
  38. 50
  39. 7
  40. 54

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