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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 714 · 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/5 + 9 = 15, what is x? (a) 6 (b) 66 (c) 120 (d) 30
  2. 2.If 6x − 19 = 47, what is x? (a) 66 (b) 12 (c) 11 (d) 10
  3. 3.If 5x + 5 = x + 13, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  4. 4.If 3x − 8 = 22, what is x? (a) 11 (b) 10 (c) 30 (d) 9
  5. 5.If 5x + 9 = 74, what is x? (a) 14 (b) 13 (c) 12 (d) 65
  6. 6.If 2x − 2 = 6, what is x? (a) 4 (b) 8 (c) 2 (d) 5
  7. 7.If x/3 + 1 = 9, what is x? (a) 30 (b) 26 (c) 8 (d) 24
  8. 8.If x/5 + 2 = 8, what is x? (a) 30 (b) 50 (c) 38 (d) 6
  9. 9.If 4x + 18 = 3x + 28, what is x? (a) 10 (b) 46 (c) 12 (d) 11
  10. 10.If 8x + 2 = 74, what is x? (a) 9 (b) 72 (c) 10 (d) 8
  11. 11.If 3x − 19 = 14, what is x? (a) 10 (b) 12 (c) 33 (d) 11
  12. 12.If 3x + 3 = 2x + 10, what is x? (a) 9 (b) 7 (c) 13 (d) 8
  13. 13.If 8x + 18 = 4x + 58, what is x? (a) 10 (b) 12 (c) 19 (d) 11
  14. 14.If 9x + 29 = 164, what is x? (a) 16 (b) 15 (c) 135 (d) 14
  15. 15.If 9x − 31 = 77, what is x? (a) 11 (b) 13 (c) 108 (d) 12
  16. 16.If 6x − 53 = 1, what is x? (a) 10 (b) 9 (c) 54 (d) 8
  17. 17.If 2x − 9 = 1, what is x? (a) 6 (b) 10 (c) 5 (d) 4
  18. 18.If x/4 + 2 = 4, what is x? (a) 8 (b) 14 (c) 24 (d) 2
  19. 19.If 9x + 9 = 4x + 24, what is x? (a) 2 (b) 5 (c) 4 (d) 3
  20. 20.If 9x + 6 = 2x + 55, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  21. 21.If 6x + 14 = 5x + 19, what is x? (a) 7 (b) 6 (c) 5 (d) 33
  22. 22.If x/4 + 7 = 16, what is x? (a) 92 (b) 57 (c) 36 (d) 9
  23. 23.If 6x + 28 = 106, what is x? (a) 14 (b) 12 (c) 78 (d) 13
  24. 24.If x/5 + 13 = 20, what is x? (a) 165 (b) 7 (c) 35 (d) 87
  25. 25.If 4x + 8 = 2x + 16, what is x? (a) 5 (b) 6 (c) 4 (d) 12
  26. 26.If 2x + 14 = 44, what is x? (a) 16 (b) 30 (c) 15 (d) 29
  27. 27.If 3x + 21 = 42, what is x? (a) 7 (b) 6 (c) 8 (d) 21
  28. 28.If 8x + 16 = 2x + 28, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  29. 29.If 7x + 3 = x + 45, what is x? (a) 6 (b) 9 (c) 7 (d) 8
  30. 30.If x/4 + 14 = 20, what is x? (a) 136 (b) 6 (c) 66 (d) 24
  31. 31.If 6x + 7 = 19, what is x? (a) 2 (b) 12 (c) 1 (d) 3
  32. 32.If 4x + 7 = 19, what is x? (a) 2 (b) 4 (c) 3 (d) 12
  33. 33.If x/4 + 1 = 9, what is x? (a) 32 (b) 35 (c) 40 (d) 8
  34. 34.If 8x + 4 = 108, what is x? (a) 13 (b) 104 (c) 14 (d) 12
  35. 35.If x/5 + 2 = 5, what is x? (a) 3 (b) 23 (c) 35 (d) 15
  36. 36.If x/4 + 13 = 25, what is x? (a) 87 (b) 12 (c) 152 (d) 48
  37. 37.If 3x + 16 = 28, what is x? (a) 12 (b) 4 (c) 3 (d) 5
  38. 38.If 7x + 18 = 6x + 28, what is x? (a) 12 (b) 10 (c) 46 (d) 11
  39. 39.If 9x − 24 = 3, what is x? (a) 2 (b) 3 (c) 27 (d) 4
  40. 40.If 8x + 9 = 113, what is x? (a) 104 (b) 12 (c) 13 (d) 14

Answer key

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

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