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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 297 · 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 7x + 11 = 4x + 29, what is x? (a) 7 (b) 8 (c) 6 (d) 5
  2. 2.If x/3 + 13 = 23, what is x? (a) 10 (b) 108 (c) 30 (d) 56
  3. 3.If 3x + 13 = 28, what is x? (a) 5 (b) 6 (c) 15 (d) 4
  4. 4.If 2x + 26 = 46, what is x? (a) 11 (b) 36 (c) 20 (d) 10
  5. 5.If 2x + 28 = 44, what is x? (a) 36 (b) 8 (c) 16 (d) 9
  6. 6.If x/5 + 11 = 21, what is x? (a) 10 (b) 94 (c) 50 (d) 160
  7. 7.If 8x − 89 = 31, what is x? (a) 120 (b) 16 (c) 15 (d) 14
  8. 8.If 8x − 8 = 8, what is x? (a) 1 (b) 3 (c) 2 (d) 16
  9. 9.If 8x + 30 = 62, what is x? (a) 5 (b) 4 (c) 3 (d) 32
  10. 10.If 2x − 3 = 5, what is x? (a) 5 (b) 1 (c) 8 (d) 4
  11. 11.If 4x + 12 = 60, what is x? (a) 18 (b) 13 (c) 12 (d) 48
  12. 12.If 8x + 4 = x + 18, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  13. 13.If 6x − 8 = 16, what is x? (a) 3 (b) 24 (c) 5 (d) 4
  14. 14.If 4x − 1 = 11, what is x? (a) 12 (b) 3 (c) 2 (d) 4
  15. 15.If 3x + 20 = x + 26, what is x? (a) 5 (b) 4 (c) 23 (d) 3
  16. 16.If 7x + 19 = 4x + 28, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  17. 17.If 9x + 12 = 84, what is x? (a) 9 (b) 72 (c) 8 (d) 7
  18. 18.If 6x + 20 = 3x + 23, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  19. 19.If 3x + 29 = 62, what is x? (a) 10 (b) 12 (c) 33 (d) 11
  20. 20.If 9x + 5 = 6x + 41, what is x? (a) 12 (b) 11 (c) 13 (d) 14
  21. 21.If 9x − 29 = 43, what is x? (a) 72 (b) 8 (c) 9 (d) 7
  22. 22.If 4x − 8 = 52, what is x? (a) 60 (b) 15 (c) 16 (d) 11
  23. 23.If 3x + 8 = 53, what is x? (a) 16 (b) 45 (c) 14 (d) 15
  24. 24.If 6x + 15 = 69, what is x? (a) 54 (b) 9 (c) 14 (d) 10
  25. 25.If x/2 + 3 = 6, what is x? (a) 6 (b) 18 (c) 3 (d) 9
  26. 26.If x/3 + 14 = 22, what is x? (a) 52 (b) 108 (c) 8 (d) 24
  27. 27.If x/3 + 10 = 19, what is x? (a) 27 (b) 47 (c) 9 (d) 87
  28. 28.If 4x + 4 = 52, what is x? (a) 48 (b) 14 (c) 12 (d) 13
  29. 29.If 4x − 8 = 4, what is x? (a) 4 (b) 12 (c) 3 (d) 2
  30. 30.If 8x + 11 = 59, what is x? (a) 7 (b) 48 (c) 5 (d) 6
  31. 31.If x/6 + 5 = 17, what is x? (a) 97 (b) 72 (c) 132 (d) 12
  32. 32.If 6x + 11 = 47, what is x? (a) 6 (b) 7 (c) 5 (d) 36
  33. 33.If 7x + 5 = 2x + 55, what is x? (a) 12 (b) 9 (c) 11 (d) 10
  34. 34.If 4x + 9 = 61, what is x? (a) 12 (b) 13 (c) 52 (d) 14
  35. 35.If 5x + 12 = 4x + 19, what is x? (a) 8 (b) 31 (c) 9 (d) 7
  36. 36.If x/6 + 14 = 26, what is x? (a) 72 (b) 12 (c) 240 (d) 142
  37. 37.If 8x + 1 = 3x + 61, what is x? (a) 12 (b) 13 (c) 11 (d) 14
  38. 38.If x/2 + 10 = 19, what is x? (a) 9 (b) 18 (c) 58 (d) 28
  39. 39.If 9x − 87 = 12, what is x? (a) 10 (b) 11 (c) 99 (d) 12
  40. 40.If 2x + 26 = 50, what is x? (a) 13 (b) 12 (c) 38 (d) 24

Answer key

  1. 6
  2. 30
  3. 5
  4. 10
  5. 8
  6. 50
  7. 15
  8. 2
  9. 4
  10. 4
  11. 12
  12. 2
  13. 4
  14. 3
  15. 3
  16. 3
  17. 8
  18. 1
  19. 11
  20. 12
  21. 8
  22. 15
  23. 15
  24. 9
  25. 6
  26. 24
  27. 27
  28. 12
  29. 3
  30. 6
  31. 72
  32. 6
  33. 10
  34. 13
  35. 7
  36. 72
  37. 12
  38. 18
  39. 11
  40. 12

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