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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 373 · 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 3x + 11 = 56, what is x? (a) 45 (b) 14 (c) 16 (d) 15
  2. 2.If 7x + 7 = 84, what is x? (a) 13 (b) 12 (c) 77 (d) 11
  3. 3.If 6x + 2 = 20, what is x? (a) 2 (b) 3 (c) 4 (d) 18
  4. 4.If 7x + 14 = 6x + 24, what is x? (a) 38 (b) 10 (c) 12 (d) 11
  5. 5.If 4x − 12 = 4, what is x? (a) 16 (b) 4 (c) 5 (d) 3
  6. 6.If 9x − 118 = 17, what is x? (a) 14 (b) 16 (c) 15 (d) 135
  7. 7.If 6x + 15 = 3x + 48, what is x? (a) 21 (b) 13 (c) 11 (d) 12
  8. 8.If 9x + 6 = x + 86, what is x? (a) 11 (b) 12 (c) 8 (d) 10
  9. 9.If 4x + 1 = 33, what is x? (a) 7 (b) 8 (c) 9 (d) 32
  10. 10.If x/4 + 6 = 9, what is x? (a) 30 (b) 3 (c) 12 (d) 60
  11. 11.If x/5 + 13 = 16, what is x? (a) 145 (b) 3 (c) 15 (d) 67
  12. 12.If 7x + 23 = 107, what is x? (a) 84 (b) 12 (c) 13 (d) 11
  13. 13.If 8x + 17 = 3x + 67, what is x? (a) 12 (b) 11 (c) 9 (d) 10
  14. 14.If x/5 + 14 = 21, what is x? (a) 7 (b) 175 (c) 91 (d) 35
  15. 15.If 6x − 1 = 29, what is x? (a) 30 (b) 5 (c) 6 (d) 4
  16. 16.If 7x + 19 = 6x + 24, what is x? (a) 43 (b) 5 (c) 6 (d) 7
  17. 17.If x/2 + 3 = 12, what is x? (a) 18 (b) 9 (c) 21 (d) 30
  18. 18.If 4x + 5 = 17, what is x? (a) 3 (b) 4 (c) 2 (d) 12
  19. 19.If 3x + 12 = 33, what is x? (a) 15 (b) 7 (c) 21 (d) 8
  20. 20.If 3x − 27 = 18, what is x? (a) 14 (b) 45 (c) 15 (d) 16
  21. 21.If 3x − 17 = 19, what is x? (a) 11 (b) 12 (c) 36 (d) 13
  22. 22.If 6x + 12 = 2x + 40, what is x? (a) 9 (b) 13 (c) 8 (d) 7
  23. 23.If 7x + 5 = 6x + 10, what is x? (a) 7 (b) 15 (c) 6 (d) 5
  24. 24.If 2x − 23 = 1, what is x? (a) 24 (b) 11 (c) 13 (d) 12
  25. 25.If 4x + 7 = 39, what is x? (a) 32 (b) 8 (c) 7 (d) 9
  26. 26.If 9x − 87 = 30, what is x? (a) 14 (b) 12 (c) 117 (d) 13
  27. 27.If 3x + 16 = 37, what is x? (a) 21 (b) 6 (c) 7 (d) 8
  28. 28.If x/5 + 13 = 19, what is x? (a) 30 (b) 160 (c) 82 (d) 6
  29. 29.If 9x + 5 = 6x + 35, what is x? (a) 2 (b) 11 (c) 12 (d) 10
  30. 30.If 3x + 13 = x + 17, what is x? (a) 15 (b) 1 (c) 2 (d) 3
  31. 31.If 3x + 16 = 58, what is x? (a) 13 (b) 42 (c) 14 (d) 15
  32. 32.If 8x + 4 = 4x + 32, what is x? (a) 6 (b) 9 (c) 7 (d) 8
  33. 33.If 3x + 2 = x + 12, what is x? (a) 5 (b) 7 (c) 6 (d) 4
  34. 34.If 4x − 4 = 4, what is x? (a) 8 (b) 3 (c) 1 (d) 2
  35. 35.If 9x + 1 = 46, what is x? (a) 45 (b) 6 (c) 4 (d) 5
  36. 36.If 3x + 3 = 15, what is x? (a) 12 (b) 4 (c) 5 (d) 6
  37. 37.If 7x + 10 = 6x + 16, what is x? (a) 26 (b) 6 (c) 7 (d) 8
  38. 38.If x/4 + 15 = 24, what is x? (a) 9 (b) 36 (c) 156 (d) 81
  39. 39.If 4x + 20 = 2x + 22, what is x? (a) 21 (b) 3 (c) 2 (d) 1
  40. 40.If x/4 + 3 = 8, what is x? (a) 5 (b) 44 (c) 29 (d) 20

Answer key

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

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