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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 211 · 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 + 23 = 41, what is x? (a) 18 (b) 1 (c) 3 (d) 2
  2. 2.If 6x + 14 = 3x + 47, what is x? (a) 10 (b) 11 (c) 13 (d) 12
  3. 3.If 9x + 15 = 69, what is x? (a) 54 (b) 6 (c) 5 (d) 7
  4. 4.If 9x − 6 = 30, what is x? (a) 36 (b) 3 (c) 4 (d) 5
  5. 5.If 5x + 30 = 70, what is x? (a) 20 (b) 8 (c) 9 (d) 40
  6. 6.If 7x + 23 = 107, what is x? (a) 11 (b) 13 (c) 84 (d) 12
  7. 7.If 6x + 16 = 4x + 36, what is x? (a) 2 (b) 11 (c) 10 (d) 26
  8. 8.If 7x + 22 = 85, what is x? (a) 10 (b) 9 (c) 8 (d) 63
  9. 9.If x/2 + 12 = 16, what is x? (a) 8 (b) 4 (c) 20 (d) 56
  10. 10.If 7x − 10 = 18, what is x? (a) 3 (b) 28 (c) 5 (d) 4
  11. 11.If x/3 + 10 = 16, what is x? (a) 78 (b) 18 (c) 6 (d) 38
  12. 12.If 8x + 11 = 3x + 26, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  13. 13.If 5x + 21 = 46, what is x? (a) 6 (b) 4 (c) 25 (d) 5
  14. 14.If 8x − 22 = 26, what is x? (a) 7 (b) 6 (c) 5 (d) 48
  15. 15.If 4x − 34 = 22, what is x? (a) 15 (b) 14 (c) 56 (d) 13
  16. 16.If 3x + 7 = 2x + 18, what is x? (a) 12 (b) 25 (c) 11 (d) 13
  17. 17.If x/4 + 15 = 21, what is x? (a) 69 (b) 144 (c) 24 (d) 6
  18. 18.If 5x − 20 = 5, what is x? (a) 6 (b) 5 (c) 4 (d) 25
  19. 19.If 6x + 18 = 72, what is x? (a) 9 (b) 15 (c) 10 (d) 54
  20. 20.If 6x − 4 = 32, what is x? (a) 7 (b) 6 (c) 5 (d) 36
  21. 21.If 8x + 16 = 56, what is x? (a) 40 (b) 9 (c) 6 (d) 5
  22. 22.If 5x + 1 = 46, what is x? (a) 45 (b) 9 (c) 10 (d) 8
  23. 23.If 5x − 34 = 41, what is x? (a) 15 (b) 75 (c) 16 (d) 14
  24. 24.If 2x − 8 = 4, what is x? (a) 7 (b) 12 (c) 5 (d) 6
  25. 25.If x/4 + 15 = 20, what is x? (a) 140 (b) 20 (c) 5 (d) 65
  26. 26.If x/2 + 4 = 11, what is x? (a) 30 (b) 14 (c) 18 (d) 7
  27. 27.If 7x + 21 = 42, what is x? (a) 9 (b) 21 (c) 3 (d) 4
  28. 28.If x/6 + 15 = 24, what is x? (a) 54 (b) 234 (c) 9 (d) 129
  29. 29.If x/3 + 2 = 12, what is x? (a) 30 (b) 34 (c) 10 (d) 42
  30. 30.If 8x + 18 = 34, what is x? (a) 2 (b) 1 (c) 3 (d) 16
  31. 31.If 6x + 12 = 78, what is x? (a) 15 (b) 11 (c) 12 (d) 66
  32. 32.If x/6 + 6 = 10, what is x? (a) 96 (b) 54 (c) 4 (d) 24
  33. 33.If x/2 + 3 = 10, what is x? (a) 14 (b) 17 (c) 7 (d) 26
  34. 34.If 4x − 2 = 6, what is x? (a) 2 (b) 3 (c) 8 (d) 1
  35. 35.If 8x + 20 = 5x + 32, what is x? (a) 5 (b) 3 (c) 4 (d) 6
  36. 36.If x/6 + 2 = 6, what is x? (a) 48 (b) 34 (c) 4 (d) 24
  37. 37.If 5x + 6 = 2x + 30, what is x? (a) 12 (b) 8 (c) 9 (d) 10
  38. 38.If x/5 + 4 = 14, what is x? (a) 10 (b) 50 (c) 90 (d) 66
  39. 39.If 9x − 21 = 33, what is x? (a) 5 (b) 7 (c) 6 (d) 54
  40. 40.If 6x + 15 = 87, what is x? (a) 13 (b) 17 (c) 72 (d) 12

Answer key

  1. 2
  2. 11
  3. 6
  4. 4
  5. 8
  6. 12
  7. 10
  8. 9
  9. 8
  10. 4
  11. 18
  12. 3
  13. 5
  14. 6
  15. 14
  16. 11
  17. 24
  18. 5
  19. 9
  20. 6
  21. 5
  22. 9
  23. 15
  24. 6
  25. 20
  26. 14
  27. 3
  28. 54
  29. 30
  30. 2
  31. 11
  32. 24
  33. 14
  34. 2
  35. 4
  36. 24
  37. 8
  38. 50
  39. 6
  40. 12

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