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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 312 · 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/4 + 7 = 14, what is x? (a) 7 (b) 84 (c) 28 (d) 49
  2. 2.If 6x + 3 = 21, what is x? (a) 18 (b) 2 (c) 4 (d) 3
  3. 3.If 6x + 6 = 3x + 12, what is x? (a) 2 (b) 3 (c) 4 (d) 6
  4. 4.If 3x + 27 = 45, what is x? (a) 7 (b) 18 (c) 24 (d) 6
  5. 5.If 3x + 29 = 65, what is x? (a) 13 (b) 36 (c) 11 (d) 12
  6. 6.If 8x + 3 = 67, what is x? (a) 64 (b) 7 (c) 9 (d) 8
  7. 7.If x/5 + 14 = 23, what is x? (a) 45 (b) 9 (c) 185 (d) 101
  8. 8.If x/4 + 4 = 14, what is x? (a) 10 (b) 52 (c) 72 (d) 40
  9. 9.If x/2 + 3 = 10, what is x? (a) 26 (b) 7 (c) 17 (d) 14
  10. 10.If 5x + 15 = x + 43, what is x? (a) 7 (b) 6 (c) 9 (d) 8
  11. 11.If 4x − 5 = 47, what is x? (a) 12 (b) 14 (c) 52 (d) 13
  12. 12.If 4x + 13 = 2x + 23, what is x? (a) 5 (b) 7 (c) 18 (d) 6
  13. 13.If 2x − 13 = 17, what is x? (a) 16 (b) 2 (c) 30 (d) 15
  14. 14.If 6x + 1 = 49, what is x? (a) 8 (b) 7 (c) 9 (d) 48
  15. 15.If 7x − 31 = 67, what is x? (a) 98 (b) 13 (c) 14 (d) 15
  16. 16.If 8x + 23 = 47, what is x? (a) 24 (b) 2 (c) 3 (d) 4
  17. 17.If 3x + 3 = 21, what is x? (a) 8 (b) 7 (c) 6 (d) 18
  18. 18.If 8x + 16 = 3x + 41, what is x? (a) 7 (b) 5 (c) 4 (d) 6
  19. 19.If 3x + 6 = x + 8, what is x? (a) 1 (b) 3 (c) 2 (d) 7
  20. 20.If 8x − 4 = 76, what is x? (a) 9 (b) 10 (c) 11 (d) 80
  21. 21.If 2x − 7 = 17, what is x? (a) 24 (b) 5 (c) 12 (d) 13
  22. 22.If x/3 + 8 = 10, what is x? (a) 2 (b) 6 (c) 54 (d) 22
  23. 23.If 3x + 8 = 41, what is x? (a) 11 (b) 12 (c) 10 (d) 33
  24. 24.If x/6 + 4 = 16, what is x? (a) 120 (b) 12 (c) 92 (d) 72
  25. 25.If 6x − 45 = 15, what is x? (a) 60 (b) 9 (c) 10 (d) 11
  26. 26.If x/3 + 11 = 20, what is x? (a) 49 (b) 93 (c) 27 (d) 9
  27. 27.If 3x + 10 = 2x + 19, what is x? (a) 9 (b) 11 (c) 10 (d) 29
  28. 28.If x/4 + 12 = 16, what is x? (a) 16 (b) 112 (c) 52 (d) 4
  29. 29.If 7x + 7 = 3x + 51, what is x? (a) 13 (b) 12 (c) 10 (d) 11
  30. 30.If 8x + 13 = 109, what is x? (a) 96 (b) 11 (c) 13 (d) 12
  31. 31.If 7x + 4 = x + 64, what is x? (a) 10 (b) 9 (c) 11 (d) 12
  32. 32.If 9x + 14 = 4x + 69, what is x? (a) 12 (b) 13 (c) 11 (d) 10
  33. 33.If 4x − 5 = 15, what is x? (a) 4 (b) 5 (c) 6 (d) 20
  34. 34.If 9x + 17 = 6x + 47, what is x? (a) 11 (b) 10 (c) 12 (d) 2
  35. 35.If 3x + 28 = 58, what is x? (a) 11 (b) 30 (c) 9 (d) 10
  36. 36.If 4x + 16 = 56, what is x? (a) 40 (b) 18 (c) 11 (d) 10
  37. 37.If 6x + 14 = 2x + 58, what is x? (a) 11 (b) 13 (c) 12 (d) 18
  38. 38.If 6x + 14 = 68, what is x? (a) 9 (b) 8 (c) 54 (d) 10
  39. 39.If 2x − 7 = 3, what is x? (a) 10 (b) 4 (c) 5 (d) 6
  40. 40.If 6x + 3 = 2x + 47, what is x? (a) 13 (b) 11 (c) 10 (d) 12

Answer key

  1. 28
  2. 3
  3. 2
  4. 6
  5. 12
  6. 8
  7. 45
  8. 40
  9. 14
  10. 7
  11. 13
  12. 5
  13. 15
  14. 8
  15. 14
  16. 3
  17. 6
  18. 5
  19. 1
  20. 10
  21. 12
  22. 6
  23. 11
  24. 72
  25. 10
  26. 27
  27. 9
  28. 16
  29. 11
  30. 12
  31. 10
  32. 11
  33. 5
  34. 10
  35. 10
  36. 10
  37. 11
  38. 9
  39. 5
  40. 11

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