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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 818 · 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 7x + 25 = 67, what is x? (a) 7 (b) 5 (c) 6 (d) 42
  2. 2.If 8x − 17 = 7, what is x? (a) 2 (b) 24 (c) 3 (d) 4
  3. 3.If 4x − 1 = 11, what is x? (a) 4 (b) 2 (c) 12 (d) 3
  4. 4.If 5x + 20 = 3x + 28, what is x? (a) 1 (b) 4 (c) 5 (d) 24
  5. 5.If x/6 + 2 = 8, what is x? (a) 46 (b) 60 (c) 6 (d) 36
  6. 6.If 8x + 2 = 114, what is x? (a) 14 (b) 112 (c) 15 (d) 13
  7. 7.If 7x + 19 = 124, what is x? (a) 14 (b) 105 (c) 15 (d) 16
  8. 8.If 9x + 11 = 110, what is x? (a) 10 (b) 11 (c) 12 (d) 99
  9. 9.If 7x − 3 = 46, what is x? (a) 8 (b) 7 (c) 6 (d) 49
  10. 10.If 6x + 13 = 73, what is x? (a) 11 (b) 9 (c) 10 (d) 60
  11. 11.If 2x + 23 = 37, what is x? (a) 8 (b) 7 (c) 30 (d) 14
  12. 12.If 5x + 6 = 81, what is x? (a) 15 (b) 75 (c) 16 (d) 14
  13. 13.If 9x − 40 = 23, what is x? (a) 6 (b) 63 (c) 8 (d) 7
  14. 14.If 2x − 11 = 3, what is x? (a) 14 (b) 6 (c) 8 (d) 7
  15. 15.If 7x + 30 = 58, what is x? (a) 3 (b) 5 (c) 4 (d) 28
  16. 16.If 7x + 14 = 84, what is x? (a) 10 (b) 70 (c) 11 (d) 14
  17. 17.If 4x − 10 = 6, what is x? (a) 3 (b) 16 (c) 5 (d) 4
  18. 18.If 8x + 9 = 5x + 21, what is x? (a) 6 (b) 10 (c) 5 (d) 4
  19. 19.If 3x + 27 = 63, what is x? (a) 30 (b) 13 (c) 36 (d) 12
  20. 20.If 9x + 18 = 36, what is x? (a) 2 (b) 6 (c) 18 (d) 3
  21. 21.If 7x − 37 = 19, what is x? (a) 56 (b) 9 (c) 7 (d) 8
  22. 22.If 5x + 3 = 4x + 13, what is x? (a) 16 (b) 12 (c) 11 (d) 10
  23. 23.If x/6 + 9 = 17, what is x? (a) 8 (b) 93 (c) 48 (d) 156
  24. 24.If 8x + 11 = 107, what is x? (a) 96 (b) 13 (c) 11 (d) 12
  25. 25.If 8x + 21 = 133, what is x? (a) 112 (b) 13 (c) 14 (d) 15
  26. 26.If 6x + 23 = 95, what is x? (a) 12 (b) 72 (c) 13 (d) 11
  27. 27.If 6x + 16 = 94, what is x? (a) 78 (b) 13 (c) 12 (d) 14
  28. 28.If x/2 + 12 = 16, what is x? (a) 20 (b) 56 (c) 8 (d) 4
  29. 29.If x/6 + 13 = 19, what is x? (a) 6 (b) 36 (c) 101 (d) 192
  30. 30.If 9x + 4 = 3x + 52, what is x? (a) 8 (b) 4 (c) 9 (d) 10
  31. 31.If x/6 + 2 = 11, what is x? (a) 9 (b) 54 (c) 64 (d) 78
  32. 32.If 9x + 3 = 93, what is x? (a) 90 (b) 10 (c) 9 (d) 11
  33. 33.If 7x − 26 = 9, what is x? (a) 5 (b) 35 (c) 6 (d) 4
  34. 34.If 4x − 37 = 3, what is x? (a) 11 (b) 40 (c) 10 (d) 9
  35. 35.If x/5 + 5 = 11, what is x? (a) 80 (b) 50 (c) 6 (d) 30
  36. 36.If 9x − 78 = 39, what is x? (a) 14 (b) 12 (c) 13 (d) 117
  37. 37.If 8x + 14 = 38, what is x? (a) 4 (b) 3 (c) 24 (d) 2
  38. 38.If 6x − 3 = 27, what is x? (a) 5 (b) 6 (c) 4 (d) 30
  39. 39.If 6x + 3 = 4x + 21, what is x? (a) 11 (b) 12 (c) 10 (d) 9
  40. 40.If 8x − 39 = 65, what is x? (a) 104 (b) 14 (c) 13 (d) 12

Answer key

  1. 6
  2. 3
  3. 3
  4. 4
  5. 36
  6. 14
  7. 15
  8. 11
  9. 7
  10. 10
  11. 7
  12. 15
  13. 7
  14. 7
  15. 4
  16. 10
  17. 4
  18. 4
  19. 12
  20. 2
  21. 8
  22. 10
  23. 48
  24. 12
  25. 14
  26. 12
  27. 13
  28. 8
  29. 36
  30. 8
  31. 54
  32. 10
  33. 5
  34. 10
  35. 30
  36. 13
  37. 3
  38. 5
  39. 9
  40. 13

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