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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 798 · 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 9x + 6 = 4x + 21, what is x? (a) 3 (b) 2 (c) 4 (d) 5
  2. 2.If 4x + 15 = 2x + 21, what is x? (a) 18 (b) 4 (c) 1 (d) 3
  3. 3.If 9x + 6 = 8x + 13, what is x? (a) 8 (b) 7 (c) 19 (d) 9
  4. 4.If 4x + 1 = 2x + 5, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  5. 5.If 6x + 9 = 33, what is x? (a) 24 (b) 5 (c) 7 (d) 4
  6. 6.If 3x − 4 = 8, what is x? (a) 5 (b) 12 (c) 3 (d) 4
  7. 7.If 7x + 4 = 53, what is x? (a) 8 (b) 7 (c) 49 (d) 6
  8. 8.If 3x + 20 = 2x + 21, what is x? (a) 1 (b) 3 (c) 2 (d) 41
  9. 9.If 9x + 20 = 65, what is x? (a) 6 (b) 5 (c) 45 (d) 4
  10. 10.If 8x + 11 = 99, what is x? (a) 88 (b) 11 (c) 12 (d) 10
  11. 11.If 3x + 12 = 42, what is x? (a) 18 (b) 30 (c) 11 (d) 10
  12. 12.If x/6 + 2 = 9, what is x? (a) 42 (b) 52 (c) 66 (d) 7
  13. 13.If 9x + 13 = 58, what is x? (a) 45 (b) 5 (c) 4 (d) 6
  14. 14.If 2x + 14 = 24, what is x? (a) 6 (b) 10 (c) 5 (d) 19
  15. 15.If 7x + 8 = 43, what is x? (a) 5 (b) 6 (c) 35 (d) 4
  16. 16.If 8x + 20 = 4x + 28, what is x? (a) 12 (b) 4 (c) 3 (d) 2
  17. 17.If 9x − 92 = 7, what is x? (a) 99 (b) 10 (c) 11 (d) 12
  18. 18.If 8x + 13 = 5x + 46, what is x? (a) 11 (b) 10 (c) 12 (d) 13
  19. 19.If 6x + 6 = 24, what is x? (a) 4 (b) 3 (c) 5 (d) 18
  20. 20.If x/3 + 1 = 4, what is x? (a) 15 (b) 9 (c) 3 (d) 11
  21. 21.If 6x + 3 = 45, what is x? (a) 42 (b) 7 (c) 6 (d) 8
  22. 22.If x/5 + 10 = 19, what is x? (a) 9 (b) 145 (c) 85 (d) 45
  23. 23.If 4x − 14 = 6, what is x? (a) 6 (b) 4 (c) 5 (d) 20
  24. 24.If x/2 + 13 = 16, what is x? (a) 3 (b) 19 (c) 58 (d) 6
  25. 25.If x/4 + 5 = 8, what is x? (a) 27 (b) 12 (c) 52 (d) 3
  26. 26.If x/3 + 8 = 16, what is x? (a) 8 (b) 40 (c) 72 (d) 24
  27. 27.If 6x + 20 = 2x + 28, what is x? (a) 3 (b) 2 (c) 1 (d) 12
  28. 28.If 3x − 1 = 17, what is x? (a) 5 (b) 6 (c) 18 (d) 7
  29. 29.If 7x − 20 = 8, what is x? (a) 4 (b) 3 (c) 28 (d) 5
  30. 30.If 5x + 1 = 31, what is x? (a) 7 (b) 30 (c) 5 (d) 6
  31. 31.If 4x + 15 = 3x + 20, what is x? (a) 35 (b) 6 (c) 7 (d) 5
  32. 32.If 4x + 6 = 18, what is x? (a) 6 (b) 12 (c) 4 (d) 3
  33. 33.If x/2 + 3 = 5, what is x? (a) 16 (b) 2 (c) 4 (d) 7
  34. 34.If 9x + 1 = 6x + 13, what is x? (a) 3 (b) 6 (c) 5 (d) 4
  35. 35.If 5x − 32 = 3, what is x? (a) 35 (b) 6 (c) 7 (d) 8
  36. 36.If 6x + 10 = 22, what is x? (a) 3 (b) 1 (c) 12 (d) 2
  37. 37.If 2x + 6 = 16, what is x? (a) 6 (b) 11 (c) 5 (d) 10
  38. 38.If 5x + 5 = x + 21, what is x? (a) 5 (b) 3 (c) 4 (d) 6
  39. 39.If x/6 + 11 = 13, what is x? (a) 12 (b) 2 (c) 67 (d) 144
  40. 40.If 8x + 3 = 107, what is x? (a) 104 (b) 12 (c) 14 (d) 13

Answer key

  1. 3
  2. 3
  3. 7
  4. 2
  5. 4
  6. 4
  7. 7
  8. 1
  9. 5
  10. 11
  11. 10
  12. 42
  13. 5
  14. 5
  15. 5
  16. 2
  17. 11
  18. 11
  19. 3
  20. 9
  21. 7
  22. 45
  23. 5
  24. 6
  25. 12
  26. 24
  27. 2
  28. 6
  29. 4
  30. 6
  31. 5
  32. 3
  33. 4
  34. 4
  35. 7
  36. 2
  37. 5
  38. 4
  39. 12
  40. 13

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