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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 192 · 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 + 4 = 6, what is x? (a) 30 (b) 14 (c) 2 (d) 6
  2. 2.If 9x + 11 = 8x + 15, what is x? (a) 26 (b) 5 (c) 6 (d) 4
  3. 3.If 9x + 1 = 4x + 26, what is x? (a) 4 (b) 5 (c) 7 (d) 6
  4. 4.If x/2 + 5 = 10, what is x? (a) 30 (b) 5 (c) 10 (d) 15
  5. 5.If 4x + 26 = 70, what is x? (a) 44 (b) 24 (c) 12 (d) 11
  6. 6.If 6x − 4 = 44, what is x? (a) 48 (b) 7 (c) 8 (d) 9
  7. 7.If 9x + 8 = 7x + 22, what is x? (a) 8 (b) 9 (c) 7 (d) 15
  8. 8.If 9x + 20 = 5x + 60, what is x? (a) 10 (b) 12 (c) 20 (d) 11
  9. 9.If 7x + 10 = 108, what is x? (a) 98 (b) 15 (c) 14 (d) 13
  10. 10.If 5x + 7 = x + 55, what is x? (a) 12 (b) 13 (c) 8 (d) 14
  11. 11.If 3x + 1 = 2x + 3, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  12. 12.If x/6 + 3 = 5, what is x? (a) 48 (b) 12 (c) 27 (d) 2
  13. 13.If x/6 + 11 = 22, what is x? (a) 11 (b) 66 (c) 198 (d) 121
  14. 14.If 8x + 5 = 2x + 17, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  15. 15.If x/4 + 9 = 13, what is x? (a) 16 (b) 43 (c) 88 (d) 4
  16. 16.If 5x + 5 = 40, what is x? (a) 9 (b) 7 (c) 8 (d) 35
  17. 17.If 9x + 8 = 2x + 78, what is x? (a) 11 (b) 9 (c) 12 (d) 10
  18. 18.If 5x + 9 = x + 49, what is x? (a) 11 (b) 12 (c) 9 (d) 10
  19. 19.If 5x + 15 = 90, what is x? (a) 15 (b) 16 (c) 75 (d) 21
  20. 20.If 7x + 20 = 5x + 44, what is x? (a) 32 (b) 12 (c) 13 (d) 2
  21. 21.If x/5 + 12 = 15, what is x? (a) 63 (b) 3 (c) 15 (d) 135
  22. 22.If 7x + 7 = x + 79, what is x? (a) 9 (b) 12 (c) 13 (d) 14
  23. 23.If 4x − 7 = 5, what is x? (a) 4 (b) 3 (c) 2 (d) 12
  24. 24.If 3x − 18 = 12, what is x? (a) 11 (b) 9 (c) 30 (d) 10
  25. 25.If x/3 + 10 = 13, what is x? (a) 69 (b) 9 (c) 3 (d) 29
  26. 26.If 4x − 12 = 20, what is x? (a) 32 (b) 2 (c) 9 (d) 8
  27. 27.If 3x − 2 = 19, what is x? (a) 6 (b) 21 (c) 8 (d) 7
  28. 28.If 7x − 14 = 7, what is x? (a) 2 (b) 4 (c) 3 (d) 21
  29. 29.If 9x + 15 = 33, what is x? (a) 2 (b) 3 (c) 18 (d) 1
  30. 30.If 5x − 22 = 3, what is x? (a) 4 (b) 5 (c) 25 (d) 6
  31. 31.If x/4 + 3 = 5, what is x? (a) 2 (b) 8 (c) 17 (d) 32
  32. 32.If x/3 + 3 = 15, what is x? (a) 12 (b) 36 (c) 54 (d) 42
  33. 33.If x/2 + 1 = 5, what is x? (a) 12 (b) 8 (c) 4 (d) 9
  34. 34.If x/3 + 2 = 5, what is x? (a) 3 (b) 21 (c) 13 (d) 9
  35. 35.If x/2 + 12 = 18, what is x? (a) 24 (b) 12 (c) 6 (d) 60
  36. 36.If 8x − 50 = 22, what is x? (a) 72 (b) 8 (c) 9 (d) 10
  37. 37.If 3x + 14 = x + 36, what is x? (a) 13 (b) 25 (c) 11 (d) 12
  38. 38.If 7x − 2 = 103, what is x? (a) 105 (b) 16 (c) 14 (d) 15
  39. 39.If 5x − 17 = 48, what is x? (a) 14 (b) 13 (c) 12 (d) 65
  40. 40.If 9x + 9 = 7x + 19, what is x? (a) 5 (b) 6 (c) 14 (d) 7

Answer key

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

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