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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 707 · 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 6x + 17 = 95, what is x? (a) 78 (b) 14 (c) 13 (d) 12
  2. 2.If 9x + 29 = 137, what is x? (a) 13 (b) 108 (c) 12 (d) 11
  3. 3.If x/4 + 14 = 21, what is x? (a) 28 (b) 70 (c) 7 (d) 140
  4. 4.If 7x − 9 = 40, what is x? (a) 49 (b) 6 (c) 7 (d) 8
  5. 5.If 4x − 16 = 4, what is x? (a) 6 (b) 5 (c) 20 (d) 4
  6. 6.If x/5 + 10 = 13, what is x? (a) 3 (b) 15 (c) 115 (d) 55
  7. 7.If 4x + 4 = x + 25, what is x? (a) 9 (b) 8 (c) 7 (d) 6
  8. 8.If x/4 + 5 = 14, what is x? (a) 51 (b) 9 (c) 36 (d) 76
  9. 9.If 8x + 6 = x + 90, what is x? (a) 12 (b) 11 (c) 13 (d) 14
  10. 10.If 7x + 11 = 46, what is x? (a) 5 (b) 4 (c) 6 (d) 35
  11. 11.If 5x + 20 = 4x + 24, what is x? (a) 5 (b) 6 (c) 4 (d) 44
  12. 12.If 3x + 4 = x + 6, what is x? (a) 3 (b) 1 (c) 2 (d) 5
  13. 13.If x/4 + 1 = 8, what is x? (a) 31 (b) 36 (c) 28 (d) 7
  14. 14.If 2x + 29 = 51, what is x? (a) 40 (b) 22 (c) 11 (d) 12
  15. 15.If 5x − 33 = 42, what is x? (a) 15 (b) 14 (c) 16 (d) 75
  16. 16.If 6x + 4 = 82, what is x? (a) 78 (b) 12 (c) 14 (d) 13
  17. 17.If x/2 + 10 = 18, what is x? (a) 56 (b) 16 (c) 8 (d) 26
  18. 18.If x/2 + 8 = 20, what is x? (a) 32 (b) 56 (c) 12 (d) 24
  19. 19.If 5x + 18 = 4x + 20, what is x? (a) 2 (b) 38 (c) 3 (d) 4
  20. 20.If 4x + 12 = x + 18, what is x? (a) 10 (b) 3 (c) 4 (d) 2
  21. 21.If 8x + 17 = 49, what is x? (a) 32 (b) 3 (c) 5 (d) 4
  22. 22.If 8x + 2 = 18, what is x? (a) 16 (b) 3 (c) 1 (d) 2
  23. 23.If 4x + 9 = 2x + 23, what is x? (a) 9 (b) 7 (c) 8 (d) 16
  24. 24.If 6x + 12 = 4x + 36, what is x? (a) 24 (b) 13 (c) 12 (d) 14
  25. 25.If x/5 + 15 = 23, what is x? (a) 40 (b) 190 (c) 8 (d) 100
  26. 26.If x/5 + 14 = 23, what is x? (a) 101 (b) 9 (c) 45 (d) 185
  27. 27.If 6x − 17 = 1, what is x? (a) 2 (b) 4 (c) 3 (d) 18
  28. 28.If x/6 + 15 = 18, what is x? (a) 18 (b) 93 (c) 3 (d) 198
  29. 29.If 9x + 28 = 64, what is x? (a) 5 (b) 4 (c) 3 (d) 36
  30. 30.If 9x + 1 = 4x + 61, what is x? (a) 14 (b) 12 (c) 13 (d) 11
  31. 31.If 4x + 26 = 38, what is x? (a) 12 (b) 16 (c) 3 (d) 4
  32. 32.If x/6 + 6 = 14, what is x? (a) 8 (b) 120 (c) 78 (d) 48
  33. 33.If 6x + 3 = 15, what is x? (a) 2 (b) 12 (c) 3 (d) 1
  34. 34.If 6x + 2 = 2x + 30, what is x? (a) 6 (b) 9 (c) 8 (d) 7
  35. 35.If 5x + 12 = 77, what is x? (a) 14 (b) 65 (c) 13 (d) 12
  36. 36.If 3x − 8 = 13, what is x? (a) 8 (b) 7 (c) 6 (d) 21
  37. 37.If x/5 + 5 = 7, what is x? (a) 10 (b) 30 (c) 60 (d) 2
  38. 38.If x/3 + 13 = 19, what is x? (a) 18 (b) 44 (c) 96 (d) 6
  39. 39.If 9x + 12 = 3x + 48, what is x? (a) 10 (b) 7 (c) 3 (d) 6
  40. 40.If 8x + 17 = 7x + 28, what is x? (a) 45 (b) 12 (c) 11 (d) 13

Answer key

  1. 13
  2. 12
  3. 28
  4. 7
  5. 5
  6. 15
  7. 7
  8. 36
  9. 12
  10. 5
  11. 4
  12. 1
  13. 28
  14. 11
  15. 15
  16. 13
  17. 16
  18. 24
  19. 2
  20. 2
  21. 4
  22. 2
  23. 7
  24. 12
  25. 40
  26. 45
  27. 3
  28. 18
  29. 4
  30. 12
  31. 3
  32. 48
  33. 2
  34. 7
  35. 13
  36. 7
  37. 10
  38. 18
  39. 6
  40. 11

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