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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 602 · 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 − 37 = 2, what is x? (a) 13 (b) 12 (c) 14 (d) 39
  2. 2.If 9x + 28 = 145, what is x? (a) 14 (b) 117 (c) 13 (d) 12
  3. 3.If 2x + 25 = 41, what is x? (a) 16 (b) 8 (c) 9 (d) 33
  4. 4.If 4x + 10 = 2x + 18, what is x? (a) 4 (b) 6 (c) 5 (d) 14
  5. 5.If 9x − 14 = 76, what is x? (a) 10 (b) 90 (c) 9 (d) 11
  6. 6.If 3x + 18 = 2x + 21, what is x? (a) 4 (b) 3 (c) 39 (d) 5
  7. 7.If 3x − 25 = 8, what is x? (a) 11 (b) 12 (c) 33 (d) 10
  8. 8.If 3x − 10 = 8, what is x? (a) 7 (b) 6 (c) 18 (d) 5
  9. 9.If x/5 + 6 = 14, what is x? (a) 100 (b) 40 (c) 64 (d) 8
  10. 10.If 9x + 6 = 8x + 18, what is x? (a) 13 (b) 14 (c) 24 (d) 12
  11. 11.If 2x + 7 = 31, what is x? (a) 12 (b) 19 (c) 13 (d) 24
  12. 12.If 4x + 30 = 54, what is x? (a) 21 (b) 24 (c) 7 (d) 6
  13. 13.If 5x + 13 = x + 49, what is x? (a) 6 (b) 9 (c) 11 (d) 10
  14. 14.If 9x + 14 = 59, what is x? (a) 5 (b) 4 (c) 45 (d) 6
  15. 15.If 4x − 45 = 15, what is x? (a) 16 (b) 15 (c) 14 (d) 60
  16. 16.If 7x + 29 = 85, what is x? (a) 9 (b) 7 (c) 8 (d) 56
  17. 17.If 8x − 42 = 46, what is x? (a) 88 (b) 12 (c) 11 (d) 10
  18. 18.If 3x + 16 = 25, what is x? (a) 9 (b) 4 (c) 2 (d) 3
  19. 19.If 4x − 1 = 47, what is x? (a) 48 (b) 12 (c) 13 (d) 11
  20. 20.If x/5 + 4 = 11, what is x? (a) 35 (b) 7 (c) 51 (d) 75
  21. 21.If 9x − 106 = 11, what is x? (a) 13 (b) 12 (c) 117 (d) 14
  22. 22.If 9x − 49 = 5, what is x? (a) 6 (b) 5 (c) 7 (d) 54
  23. 23.If 6x + 5 = 2x + 53, what is x? (a) 12 (b) 6 (c) 14 (d) 13
  24. 24.If 8x + 8 = 120, what is x? (a) 16 (b) 112 (c) 14 (d) 15
  25. 25.If 7x − 8 = 48, what is x? (a) 7 (b) 56 (c) 9 (d) 8
  26. 26.If 8x + 7 = 103, what is x? (a) 96 (b) 11 (c) 12 (d) 13
  27. 27.If 5x + 8 = 2x + 11, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  28. 28.If 6x + 29 = 65, what is x? (a) 36 (b) 7 (c) 5 (d) 6
  29. 29.If 8x − 102 = 10, what is x? (a) 13 (b) 14 (c) 15 (d) 112
  30. 30.If 4x + 10 = 3x + 12, what is x? (a) 22 (b) 2 (c) 3 (d) 4
  31. 31.If x/4 + 7 = 12, what is x? (a) 41 (b) 76 (c) 5 (d) 20
  32. 32.If 6x − 7 = 47, what is x? (a) 54 (b) 10 (c) 8 (d) 9
  33. 33.If 8x + 18 = 4x + 22, what is x? (a) 10 (b) 1 (c) 2 (d) 3
  34. 34.If 6x + 23 = 77, what is x? (a) 54 (b) 10 (c) 8 (d) 9
  35. 35.If 3x + 11 = 23, what is x? (a) 3 (b) 12 (c) 4 (d) 5
  36. 36.If 9x + 7 = x + 79, what is x? (a) 9 (b) 8 (c) 11 (d) 10
  37. 37.If 3x − 3 = 12, what is x? (a) 6 (b) 5 (c) 3 (d) 15
  38. 38.If 3x − 10 = 2, what is x? (a) 12 (b) 4 (c) 3 (d) 5
  39. 39.If 5x + 13 = 3x + 33, what is x? (a) 11 (b) 10 (c) 12 (d) 23
  40. 40.If 3x + 16 = x + 20, what is x? (a) 3 (b) 18 (c) 2 (d) 1

Answer key

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

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