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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 386 · 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 + 17 = 107, what is x? (a) 90 (b) 10 (c) 9 (d) 11
  2. 2.If 9x − 26 = 10, what is x? (a) 36 (b) 5 (c) 4 (d) 3
  3. 3.If x/5 + 3 = 6, what is x? (a) 15 (b) 27 (c) 45 (d) 3
  4. 4.If 2x − 4 = 4, what is x? (a) 5 (b) 3 (c) 8 (d) 4
  5. 5.If 2x − 1 = 27, what is x? (a) 13 (b) 15 (c) 14 (d) 28
  6. 6.If 8x + 21 = 133, what is x? (a) 112 (b) 13 (c) 15 (d) 14
  7. 7.If 4x − 46 = 14, what is x? (a) 16 (b) 14 (c) 60 (d) 15
  8. 8.If x/4 + 11 = 19, what is x? (a) 32 (b) 65 (c) 8 (d) 120
  9. 9.If x/4 + 14 = 26, what is x? (a) 48 (b) 90 (c) 12 (d) 160
  10. 10.If 5x + 7 = x + 15, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  11. 11.If 5x + 13 = 43, what is x? (a) 7 (b) 5 (c) 30 (d) 6
  12. 12.If x/4 + 10 = 22, what is x? (a) 78 (b) 48 (c) 12 (d) 128
  13. 13.If x/6 + 8 = 18, what is x? (a) 10 (b) 100 (c) 60 (d) 156
  14. 14.If 8x + 7 = 55, what is x? (a) 48 (b) 6 (c) 5 (d) 7
  15. 15.If 9x − 29 = 70, what is x? (a) 99 (b) 10 (c) 12 (d) 11
  16. 16.If 4x + 3 = 2x + 11, what is x? (a) 5 (b) 4 (c) 7 (d) 6
  17. 17.If 8x − 32 = 8, what is x? (a) 4 (b) 5 (c) 40 (d) 6
  18. 18.If 8x + 6 = 30, what is x? (a) 4 (b) 3 (c) 2 (d) 24
  19. 19.If 3x + 12 = 2x + 21, what is x? (a) 33 (b) 10 (c) 11 (d) 9
  20. 20.If 8x − 53 = 19, what is x? (a) 9 (b) 10 (c) 8 (d) 72
  21. 21.If x/5 + 13 = 18, what is x? (a) 155 (b) 5 (c) 77 (d) 25
  22. 22.If 3x + 7 = 37, what is x? (a) 11 (b) 30 (c) 10 (d) 9
  23. 23.If 6x − 69 = 3, what is x? (a) 13 (b) 12 (c) 72 (d) 11
  24. 24.If x/2 + 5 = 8, what is x? (a) 26 (b) 11 (c) 3 (d) 6
  25. 25.If 5x + 15 = 50, what is x? (a) 35 (b) 13 (c) 8 (d) 7
  26. 26.If 3x + 1 = 40, what is x? (a) 14 (b) 12 (c) 39 (d) 13
  27. 27.If x/3 + 6 = 11, what is x? (a) 51 (b) 27 (c) 5 (d) 15
  28. 28.If 6x + 6 = 3x + 33, what is x? (a) 9 (b) 13 (c) 3 (d) 10
  29. 29.If 4x + 19 = x + 31, what is x? (a) 6 (b) 4 (c) 3 (d) 5
  30. 30.If 3x − 8 = 4, what is x? (a) 12 (b) 5 (c) 3 (d) 4
  31. 31.If 6x + 12 = 102, what is x? (a) 15 (b) 16 (c) 90 (d) 19
  32. 32.If 8x + 6 = 22, what is x? (a) 1 (b) 3 (c) 2 (d) 16
  33. 33.If x/6 + 7 = 13, what is x? (a) 120 (b) 6 (c) 36 (d) 71
  34. 34.If x/2 + 4 = 8, what is x? (a) 24 (b) 4 (c) 8 (d) 12
  35. 35.If x/6 + 15 = 24, what is x? (a) 234 (b) 54 (c) 9 (d) 129
  36. 36.If 4x + 7 = 3x + 14, what is x? (a) 1 (b) 8 (c) 21 (d) 7
  37. 37.If 7x − 2 = 12, what is x? (a) 14 (b) 2 (c) 1 (d) 3
  38. 38.If 6x + 28 = 94, what is x? (a) 11 (b) 66 (c) 12 (d) 10
  39. 39.If 9x + 14 = 7x + 32, what is x? (a) 11 (b) 9 (c) 23 (d) 10
  40. 40.If 6x + 15 = 57, what is x? (a) 12 (b) 8 (c) 7 (d) 42

Answer key

  1. 10
  2. 4
  3. 15
  4. 4
  5. 14
  6. 14
  7. 15
  8. 32
  9. 48
  10. 2
  11. 6
  12. 48
  13. 60
  14. 6
  15. 11
  16. 4
  17. 5
  18. 3
  19. 9
  20. 9
  21. 25
  22. 10
  23. 12
  24. 6
  25. 7
  26. 13
  27. 15
  28. 9
  29. 4
  30. 4
  31. 15
  32. 2
  33. 36
  34. 8
  35. 54
  36. 7
  37. 2
  38. 11
  39. 9
  40. 7

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