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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 198 · 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 7x + 18 = 67, what is x? (a) 49 (b) 8 (c) 7 (d) 6
  2. 2.If 9x − 51 = 48, what is x? (a) 12 (b) 10 (c) 99 (d) 11
  3. 3.If x/2 + 6 = 9, what is x? (a) 3 (b) 12 (c) 30 (d) 6
  4. 4.If x/5 + 10 = 16, what is x? (a) 30 (b) 130 (c) 70 (d) 6
  5. 5.If 5x + 12 = 3x + 18, what is x? (a) 5 (b) 3 (c) 15 (d) 4
  6. 6.If 3x + 8 = x + 22, what is x? (a) 9 (b) 15 (c) 8 (d) 7
  7. 7.If x/6 + 10 = 22, what is x? (a) 12 (b) 122 (c) 192 (d) 72
  8. 8.If 6x + 16 = 82, what is x? (a) 11 (b) 12 (c) 10 (d) 66
  9. 9.If 3x + 20 = 2x + 29, what is x? (a) 10 (b) 49 (c) 9 (d) 11
  10. 10.If 4x + 26 = 38, what is x? (a) 16 (b) 12 (c) 3 (d) 4
  11. 11.If 9x + 12 = 48, what is x? (a) 5 (b) 4 (c) 3 (d) 36
  12. 12.If 8x − 87 = 25, what is x? (a) 14 (b) 112 (c) 13 (d) 15
  13. 13.If 4x + 19 = x + 22, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  14. 14.If 3x + 12 = x + 18, what is x? (a) 4 (b) 15 (c) 5 (d) 3
  15. 15.If 4x + 25 = 41, what is x? (a) 3 (b) 5 (c) 16 (d) 4
  16. 16.If 8x + 6 = 46, what is x? (a) 40 (b) 5 (c) 6 (d) 4
  17. 17.If 8x + 6 = x + 41, what is x? (a) 7 (b) 5 (c) 6 (d) 4
  18. 18.If 9x − 25 = 65, what is x? (a) 11 (b) 90 (c) 10 (d) 9
  19. 19.If 5x − 9 = 1, what is x? (a) 10 (b) 1 (c) 3 (d) 2
  20. 20.If 9x + 14 = 59, what is x? (a) 4 (b) 6 (c) 5 (d) 45
  21. 21.If 2x − 1 = 19, what is x? (a) 10 (b) 11 (c) 9 (d) 20
  22. 22.If 8x − 74 = 30, what is x? (a) 14 (b) 12 (c) 104 (d) 13
  23. 23.If 5x − 47 = 3, what is x? (a) 9 (b) 11 (c) 50 (d) 10
  24. 24.If 3x − 29 = 1, what is x? (a) 30 (b) 11 (c) 9 (d) 10
  25. 25.If 8x + 5 = 37, what is x? (a) 5 (b) 4 (c) 3 (d) 32
  26. 26.If x/2 + 12 = 22, what is x? (a) 10 (b) 20 (c) 32 (d) 68
  27. 27.If x/5 + 9 = 19, what is x? (a) 50 (b) 86 (c) 10 (d) 140
  28. 28.If 6x + 26 = 68, what is x? (a) 6 (b) 42 (c) 8 (d) 7
  29. 29.If 2x − 3 = 15, what is x? (a) 18 (b) 6 (c) 10 (d) 9
  30. 30.If 5x + 2 = x + 42, what is x? (a) 10 (b) 12 (c) 11 (d) 9
  31. 31.If 3x − 2 = 10, what is x? (a) 4 (b) 12 (c) 3 (d) 5
  32. 32.If 2x − 1 = 11, what is x? (a) 7 (b) 12 (c) 6 (d) 5
  33. 33.If 5x + 27 = 62, what is x? (a) 8 (b) 6 (c) 35 (d) 7
  34. 34.If 3x + 2 = 2x + 11, what is x? (a) 11 (b) 9 (c) 10 (d) 13
  35. 35.If 4x − 1 = 55, what is x? (a) 56 (b) 13 (c) 15 (d) 14
  36. 36.If 7x + 4 = x + 28, what is x? (a) 6 (b) 4 (c) 5 (d) 3
  37. 37.If 3x + 22 = 55, what is x? (a) 10 (b) 12 (c) 33 (d) 11
  38. 38.If 8x − 20 = 60, what is x? (a) 5 (b) 80 (c) 10 (d) 11
  39. 39.If 4x + 11 = 63, what is x? (a) 52 (b) 12 (c) 13 (d) 14
  40. 40.If 9x − 12 = 6, what is x? (a) 18 (b) 2 (c) 3 (d) 1

Answer key

  1. 7
  2. 11
  3. 6
  4. 30
  5. 3
  6. 7
  7. 72
  8. 11
  9. 9
  10. 3
  11. 4
  12. 14
  13. 1
  14. 3
  15. 4
  16. 5
  17. 5
  18. 10
  19. 2
  20. 5
  21. 10
  22. 13
  23. 10
  24. 10
  25. 4
  26. 20
  27. 50
  28. 7
  29. 9
  30. 10
  31. 4
  32. 6
  33. 7
  34. 9
  35. 14
  36. 4
  37. 11
  38. 10
  39. 13
  40. 2

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