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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 72 · 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 + 14 = 77, what is x? (a) 63 (b) 6 (c) 8 (d) 7
  2. 2.If 8x + 11 = 7x + 14, what is x? (a) 25 (b) 4 (c) 3 (d) 5
  3. 3.If 6x − 35 = 25, what is x? (a) 60 (b) 11 (c) 9 (d) 10
  4. 4.If x/4 + 12 = 18, what is x? (a) 6 (b) 24 (c) 60 (d) 120
  5. 5.If 8x + 5 = 77, what is x? (a) 10 (b) 9 (c) 8 (d) 72
  6. 6.If 4x + 18 = 38, what is x? (a) 5 (b) 6 (c) 14 (d) 20
  7. 7.If 4x − 5 = 15, what is x? (a) 6 (b) 20 (c) 5 (d) 4
  8. 8.If 7x + 28 = 91, what is x? (a) 10 (b) 9 (c) 17 (d) 63
  9. 9.If 9x + 10 = 64, what is x? (a) 6 (b) 7 (c) 54 (d) 5
  10. 10.If x/2 + 14 = 23, what is x? (a) 32 (b) 74 (c) 9 (d) 18
  11. 11.If x/5 + 3 = 11, what is x? (a) 52 (b) 8 (c) 70 (d) 40
  12. 12.If 7x + 7 = 35, what is x? (a) 6 (b) 4 (c) 28 (d) 5
  13. 13.If 5x + 10 = 3x + 16, what is x? (a) 4 (b) 13 (c) 3 (d) 5
  14. 14.If x/6 + 4 = 7, what is x? (a) 66 (b) 38 (c) 18 (d) 3
  15. 15.If 4x − 36 = 16, what is x? (a) 52 (b) 14 (c) 13 (d) 12
  16. 16.If x/6 + 6 = 15, what is x? (a) 9 (b) 126 (c) 54 (d) 84
  17. 17.If 9x + 5 = 6x + 26, what is x? (a) 8 (b) 6 (c) 9 (d) 7
  18. 18.If 6x + 16 = 34, what is x? (a) 4 (b) 2 (c) 3 (d) 18
  19. 19.If x/4 + 15 = 24, what is x? (a) 9 (b) 156 (c) 36 (d) 81
  20. 20.If 9x + 7 = 34, what is x? (a) 27 (b) 2 (c) 4 (d) 3
  21. 21.If 3x − 31 = 5, what is x? (a) 12 (b) 13 (c) 11 (d) 36
  22. 22.If 3x − 4 = 2, what is x? (a) 1 (b) 3 (c) 2 (d) 6
  23. 23.If 7x + 28 = 42, what is x? (a) 3 (b) 14 (c) 10 (d) 2
  24. 24.If 6x + 11 = 4x + 27, what is x? (a) 19 (b) 8 (c) 9 (d) 10
  25. 25.If 4x + 13 = 25, what is x? (a) 3 (b) 12 (c) 4 (d) 2
  26. 26.If 8x + 17 = 5x + 44, what is x? (a) 8 (b) 9 (c) 10 (d) 11
  27. 27.If 5x + 18 = x + 54, what is x? (a) 10 (b) 9 (c) 6 (d) 18
  28. 28.If 8x − 34 = 14, what is x? (a) 6 (b) 5 (c) 7 (d) 48
  29. 29.If 3x + 5 = 2x + 12, what is x? (a) 9 (b) 17 (c) 7 (d) 8
  30. 30.If 6x + 16 = 3x + 52, what is x? (a) 4 (b) 12 (c) 13 (d) 14
  31. 31.If 6x − 22 = 38, what is x? (a) 9 (b) 10 (c) 60 (d) 11
  32. 32.If 4x + 10 = 3x + 21, what is x? (a) 13 (b) 31 (c) 11 (d) 12
  33. 33.If 2x + 23 = 35, what is x? (a) 29 (b) 12 (c) 6 (d) 7
  34. 34.If x/4 + 8 = 10, what is x? (a) 72 (b) 32 (c) 2 (d) 8
  35. 35.If 6x + 14 = 2x + 58, what is x? (a) 18 (b) 12 (c) 13 (d) 11
  36. 36.If 6x − 31 = 11, what is x? (a) 8 (b) 6 (c) 42 (d) 7
  37. 37.If x/4 + 9 = 13, what is x? (a) 43 (b) 88 (c) 16 (d) 4
  38. 38.If x/2 + 12 = 22, what is x? (a) 10 (b) 32 (c) 20 (d) 68
  39. 39.If x/4 + 5 = 17, what is x? (a) 12 (b) 63 (c) 88 (d) 48
  40. 40.If 7x − 19 = 16, what is x? (a) 5 (b) 6 (c) 4 (d) 35

Answer key

  1. 7
  2. 3
  3. 10
  4. 24
  5. 9
  6. 5
  7. 5
  8. 9
  9. 6
  10. 18
  11. 40
  12. 4
  13. 3
  14. 18
  15. 13
  16. 54
  17. 7
  18. 3
  19. 36
  20. 3
  21. 12
  22. 2
  23. 2
  24. 8
  25. 3
  26. 9
  27. 9
  28. 6
  29. 7
  30. 12
  31. 10
  32. 11
  33. 6
  34. 8
  35. 11
  36. 7
  37. 16
  38. 20
  39. 48
  40. 5

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