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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 163 · 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 8x + 2 = 2x + 68, what is x? (a) 10 (b) 12 (c) 13 (d) 11
  2. 2.If 6x − 18 = 18, what is x? (a) 36 (b) 6 (c) 7 (d) 5
  3. 3.If x/5 + 4 = 12, what is x? (a) 40 (b) 8 (c) 80 (d) 56
  4. 4.If 5x − 24 = 36, what is x? (a) 13 (b) 60 (c) 11 (d) 12
  5. 5.If x/4 + 3 = 8, what is x? (a) 44 (b) 20 (c) 5 (d) 29
  6. 6.If x/5 + 13 = 16, what is x? (a) 3 (b) 145 (c) 15 (d) 67
  7. 7.If 9x + 6 = 42, what is x? (a) 3 (b) 5 (c) 4 (d) 36
  8. 8.If 7x + 15 = 43, what is x? (a) 3 (b) 28 (c) 5 (d) 4
  9. 9.If 3x − 2 = 7, what is x? (a) 3 (b) 4 (c) 9 (d) 2
  10. 10.If 4x + 7 = 2x + 21, what is x? (a) 9 (b) 7 (c) 8 (d) 14
  11. 11.If 4x − 7 = 37, what is x? (a) 11 (b) 44 (c) 12 (d) 10
  12. 12.If 4x + 4 = 3x + 12, what is x? (a) 16 (b) 10 (c) 8 (d) 9
  13. 13.If x/4 + 5 = 12, what is x? (a) 7 (b) 43 (c) 68 (d) 28
  14. 14.If 3x − 2 = 19, what is x? (a) 21 (b) 8 (c) 6 (d) 7
  15. 15.If 6x + 9 = 2x + 53, what is x? (a) 12 (b) 10 (c) 11 (d) 13
  16. 16.If 5x + 24 = 99, what is x? (a) 16 (b) 14 (c) 75 (d) 15
  17. 17.If 7x + 11 = 46, what is x? (a) 6 (b) 5 (c) 4 (d) 35
  18. 18.If x/4 + 12 = 23, what is x? (a) 80 (b) 11 (c) 44 (d) 140
  19. 19.If x/2 + 3 = 7, what is x? (a) 8 (b) 4 (c) 20 (d) 11
  20. 20.If x/4 + 9 = 12, what is x? (a) 39 (b) 3 (c) 12 (d) 84
  21. 21.If x/5 + 4 = 16, what is x? (a) 76 (b) 60 (c) 100 (d) 12
  22. 22.If x/6 + 3 = 14, what is x? (a) 81 (b) 66 (c) 11 (d) 102
  23. 23.If 7x + 9 = 86, what is x? (a) 77 (b) 11 (c) 12 (d) 10
  24. 24.If x/6 + 8 = 11, what is x? (a) 58 (b) 3 (c) 114 (d) 18
  25. 25.If x/4 + 13 = 18, what is x? (a) 59 (b) 20 (c) 124 (d) 5
  26. 26.If x/4 + 8 = 17, what is x? (a) 60 (b) 9 (c) 36 (d) 100
  27. 27.If 4x + 9 = 2x + 21, what is x? (a) 6 (b) 7 (c) 2 (d) 15
  28. 28.If 6x + 29 = 89, what is x? (a) 10 (b) 11 (c) 9 (d) 60
  29. 29.If x/4 + 6 = 9, what is x? (a) 12 (b) 3 (c) 30 (d) 60
  30. 30.If 9x + 17 = 134, what is x? (a) 14 (b) 13 (c) 117 (d) 12
  31. 31.If 3x + 25 = 31, what is x? (a) 6 (b) 1 (c) 3 (d) 2
  32. 32.If x/4 + 10 = 18, what is x? (a) 62 (b) 32 (c) 8 (d) 112
  33. 33.If 3x + 29 = 65, what is x? (a) 13 (b) 11 (c) 36 (d) 12
  34. 34.If x/3 + 13 = 22, what is x? (a) 27 (b) 53 (c) 105 (d) 9
  35. 35.If 3x + 18 = 2x + 27, what is x? (a) 45 (b) 9 (c) 11 (d) 10
  36. 36.If 3x + 18 = x + 28, what is x? (a) 5 (b) 7 (c) 23 (d) 6
  37. 37.If 7x + 5 = 6x + 11, what is x? (a) 8 (b) 6 (c) 7 (d) 16
  38. 38.If 5x − 7 = 13, what is x? (a) 20 (b) 3 (c) 4 (d) 5
  39. 39.If 3x + 11 = 56, what is x? (a) 14 (b) 15 (c) 45 (d) 16
  40. 40.If 3x + 20 = 2x + 32, what is x? (a) 13 (b) 14 (c) 12 (d) 52

Answer key

  1. 11
  2. 6
  3. 40
  4. 12
  5. 20
  6. 15
  7. 4
  8. 4
  9. 3
  10. 7
  11. 11
  12. 8
  13. 28
  14. 7
  15. 11
  16. 15
  17. 5
  18. 44
  19. 8
  20. 12
  21. 60
  22. 66
  23. 11
  24. 18
  25. 20
  26. 36
  27. 6
  28. 10
  29. 12
  30. 13
  31. 2
  32. 32
  33. 12
  34. 27
  35. 9
  36. 5
  37. 6
  38. 4
  39. 15
  40. 12

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