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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 141 · 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 2x − 2 = 2, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  2. 2.If 8x − 27 = 45, what is x? (a) 72 (b) 8 (c) 10 (d) 9
  3. 3.If 9x + 23 = 77, what is x? (a) 54 (b) 7 (c) 5 (d) 6
  4. 4.If 3x − 4 = 5, what is x? (a) 2 (b) 9 (c) 3 (d) 4
  5. 5.If 7x + 28 = 91, what is x? (a) 17 (b) 9 (c) 63 (d) 10
  6. 6.If 4x − 1 = 31, what is x? (a) 32 (b) 7 (c) 9 (d) 8
  7. 7.If 2x + 27 = 41, what is x? (a) 7 (b) 8 (c) 34 (d) 14
  8. 8.If 9x + 27 = 135, what is x? (a) 18 (b) 108 (c) 13 (d) 12
  9. 9.If x/5 + 15 = 20, what is x? (a) 85 (b) 5 (c) 175 (d) 25
  10. 10.If 9x − 33 = 12, what is x? (a) 6 (b) 45 (c) 5 (d) 4
  11. 11.If 8x + 16 = 128, what is x? (a) 18 (b) 112 (c) 15 (d) 14
  12. 12.If 2x − 1 = 9, what is x? (a) 10 (b) 6 (c) 5 (d) 4
  13. 13.If 6x + 4 = 5x + 13, what is x? (a) 17 (b) 10 (c) 9 (d) 11
  14. 14.If 2x + 9 = 29, what is x? (a) 19 (b) 11 (c) 10 (d) 20
  15. 15.If x/5 + 4 = 9, what is x? (a) 41 (b) 25 (c) 65 (d) 5
  16. 16.If 8x + 20 = 4x + 28, what is x? (a) 3 (b) 2 (c) 4 (d) 12
  17. 17.If 8x − 48 = 64, what is x? (a) 112 (b) 2 (c) 15 (d) 14
  18. 18.If 7x + 18 = 2x + 58, what is x? (a) 10 (b) 7 (c) 9 (d) 8
  19. 19.If 3x − 2 = 10, what is x? (a) 3 (b) 4 (c) 5 (d) 12
  20. 20.If x/2 + 13 = 25, what is x? (a) 76 (b) 24 (c) 37 (d) 12
  21. 21.If 4x − 9 = 7, what is x? (a) 16 (b) 5 (c) 3 (d) 4
  22. 22.If 4x − 11 = 41, what is x? (a) 52 (b) 14 (c) 13 (d) 12
  23. 23.If x/4 + 7 = 17, what is x? (a) 40 (b) 96 (c) 61 (d) 10
  24. 24.If 8x − 55 = 49, what is x? (a) 13 (b) 12 (c) 14 (d) 104
  25. 25.If x/4 + 13 = 19, what is x? (a) 63 (b) 6 (c) 128 (d) 24
  26. 26.If x/6 + 6 = 17, what is x? (a) 96 (b) 138 (c) 11 (d) 66
  27. 27.If x/6 + 4 = 9, what is x? (a) 5 (b) 78 (c) 50 (d) 30
  28. 28.If 6x − 4 = 56, what is x? (a) 10 (b) 11 (c) 60 (d) 9
  29. 29.If 2x + 17 = 31, what is x? (a) 24 (b) 7 (c) 14 (d) 8
  30. 30.If 9x + 7 = 6x + 19, what is x? (a) 4 (b) 3 (c) 6 (d) 5
  31. 31.If x/5 + 7 = 14, what is x? (a) 105 (b) 35 (c) 63 (d) 7
  32. 32.If 5x − 33 = 17, what is x? (a) 50 (b) 10 (c) 11 (d) 9
  33. 33.If 6x + 14 = 80, what is x? (a) 66 (b) 12 (c) 10 (d) 11
  34. 34.If 3x + 28 = 46, what is x? (a) 6 (b) 5 (c) 18 (d) 7
  35. 35.If 3x + 30 = 75, what is x? (a) 35 (b) 16 (c) 45 (d) 15
  36. 36.If x/6 + 5 = 12, what is x? (a) 102 (b) 67 (c) 42 (d) 7
  37. 37.If 4x + 15 = 2x + 33, what is x? (a) 24 (b) 10 (c) 9 (d) 3
  38. 38.If 9x + 3 = 5x + 51, what is x? (a) 11 (b) 14 (c) 12 (d) 13
  39. 39.If 8x − 20 = 20, what is x? (a) 5 (b) 4 (c) 6 (d) 40
  40. 40.If 6x + 13 = x + 48, what is x? (a) 7 (b) 5 (c) 8 (d) 9

Answer key

  1. 2
  2. 9
  3. 6
  4. 3
  5. 9
  6. 8
  7. 7
  8. 12
  9. 25
  10. 5
  11. 14
  12. 5
  13. 9
  14. 10
  15. 25
  16. 2
  17. 14
  18. 8
  19. 4
  20. 24
  21. 4
  22. 13
  23. 40
  24. 13
  25. 24
  26. 66
  27. 30
  28. 10
  29. 7
  30. 4
  31. 35
  32. 10
  33. 11
  34. 6
  35. 15
  36. 42
  37. 9
  38. 12
  39. 5
  40. 7

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