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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 757 · 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 3x − 11 = 10, what is x? (a) 6 (b) 8 (c) 7 (d) 21
  2. 2.If 2x + 2 = 18, what is x? (a) 16 (b) 9 (c) 10 (d) 8
  3. 3.If 3x + 3 = 15, what is x? (a) 5 (b) 6 (c) 4 (d) 12
  4. 4.If 5x + 14 = 34, what is x? (a) 3 (b) 20 (c) 4 (d) 5
  5. 5.If x/6 + 13 = 23, what is x? (a) 60 (b) 10 (c) 216 (d) 125
  6. 6.If 5x − 5 = 35, what is x? (a) 8 (b) 40 (c) 6 (d) 9
  7. 7.If 5x + 15 = x + 23, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  8. 8.If x/6 + 14 = 18, what is x? (a) 192 (b) 4 (c) 94 (d) 24
  9. 9.If x/4 + 3 = 5, what is x? (a) 2 (b) 32 (c) 17 (d) 8
  10. 10.If 9x + 29 = 155, what is x? (a) 14 (b) 15 (c) 13 (d) 126
  11. 11.If 4x − 8 = 16, what is x? (a) 6 (b) 2 (c) 24 (d) 7
  12. 12.If 6x + 8 = 26, what is x? (a) 4 (b) 3 (c) 2 (d) 18
  13. 13.If 8x + 12 = 84, what is x? (a) 12 (b) 9 (c) 10 (d) 72
  14. 14.If 4x + 2 = 58, what is x? (a) 56 (b) 15 (c) 14 (d) 13
  15. 15.If 3x + 1 = 10, what is x? (a) 4 (b) 2 (c) 9 (d) 3
  16. 16.If 8x − 22 = 10, what is x? (a) 5 (b) 4 (c) 3 (d) 32
  17. 17.If x/6 + 13 = 19, what is x? (a) 192 (b) 101 (c) 6 (d) 36
  18. 18.If x/2 + 9 = 15, what is x? (a) 12 (b) 48 (c) 21 (d) 6
  19. 19.If 4x − 26 = 18, what is x? (a) 44 (b) 10 (c) 12 (d) 11
  20. 20.If 9x + 18 = 36, what is x? (a) 6 (b) 18 (c) 3 (d) 2
  21. 21.If 8x − 79 = 17, what is x? (a) 96 (b) 13 (c) 11 (d) 12
  22. 22.If 9x + 10 = 91, what is x? (a) 81 (b) 9 (c) 8 (d) 10
  23. 23.If 8x + 27 = 51, what is x? (a) 4 (b) 3 (c) 2 (d) 24
  24. 24.If x/5 + 2 = 11, what is x? (a) 65 (b) 45 (c) 53 (d) 9
  25. 25.If 9x + 14 = 6x + 44, what is x? (a) 2 (b) 12 (c) 11 (d) 10
  26. 26.If 9x + 10 = 136, what is x? (a) 15 (b) 13 (c) 14 (d) 126
  27. 27.If 5x − 34 = 36, what is x? (a) 15 (b) 13 (c) 14 (d) 70
  28. 28.If 6x + 18 = 42, what is x? (a) 4 (b) 5 (c) 24 (d) 10
  29. 29.If 9x + 21 = 57, what is x? (a) 3 (b) 4 (c) 36 (d) 5
  30. 30.If x/6 + 12 = 15, what is x? (a) 162 (b) 18 (c) 3 (d) 78
  31. 31.If 6x + 11 = x + 41, what is x? (a) 7 (b) 8 (c) 5 (d) 6
  32. 32.If 5x − 2 = 8, what is x? (a) 10 (b) 2 (c) 3 (d) 1
  33. 33.If 2x − 20 = 6, what is x? (a) 12 (b) 13 (c) 26 (d) 14
  34. 34.If 8x − 33 = 15, what is x? (a) 6 (b) 7 (c) 5 (d) 48
  35. 35.If x/2 + 11 = 13, what is x? (a) 2 (b) 4 (c) 15 (d) 48
  36. 36.If 4x + 5 = x + 20, what is x? (a) 6 (b) 7 (c) 3 (d) 5
  37. 37.If 4x − 13 = 39, what is x? (a) 14 (b) 13 (c) 52 (d) 12
  38. 38.If 6x + 4 = 70, what is x? (a) 66 (b) 10 (c) 11 (d) 12
  39. 39.If x/2 + 12 = 21, what is x? (a) 66 (b) 9 (c) 18 (d) 30
  40. 40.If 6x + 4 = 2x + 8, what is x? (a) 3 (b) 2 (c) 1 (d) 4

Answer key

  1. 7
  2. 8
  3. 4
  4. 4
  5. 60
  6. 8
  7. 2
  8. 24
  9. 8
  10. 14
  11. 6
  12. 3
  13. 9
  14. 14
  15. 3
  16. 4
  17. 36
  18. 12
  19. 11
  20. 2
  21. 12
  22. 9
  23. 3
  24. 45
  25. 10
  26. 14
  27. 14
  28. 4
  29. 4
  30. 18
  31. 6
  32. 2
  33. 13
  34. 6
  35. 4
  36. 5
  37. 13
  38. 11
  39. 18
  40. 1

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