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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 187 · 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 + 1 = 6x + 5, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  2. 2.If 4x − 10 = 6, what is x? (a) 3 (b) 16 (c) 4 (d) 5
  3. 3.If 4x − 25 = 3, what is x? (a) 8 (b) 7 (c) 6 (d) 28
  4. 4.If x/5 + 8 = 10, what is x? (a) 90 (b) 42 (c) 2 (d) 10
  5. 5.If 8x + 3 = 6x + 21, what is x? (a) 12 (b) 10 (c) 11 (d) 9
  6. 6.If x/6 + 4 = 12, what is x? (a) 8 (b) 68 (c) 96 (d) 48
  7. 7.If 8x + 2 = 114, what is x? (a) 15 (b) 14 (c) 13 (d) 112
  8. 8.If 5x − 10 = 50, what is x? (a) 13 (b) 12 (c) 60 (d) 8
  9. 9.If 4x + 9 = 29, what is x? (a) 6 (b) 20 (c) 4 (d) 5
  10. 10.If 5x + 4 = 79, what is x? (a) 75 (b) 14 (c) 15 (d) 16
  11. 11.If 8x + 27 = 91, what is x? (a) 9 (b) 8 (c) 7 (d) 64
  12. 12.If 7x + 1 = 5x + 5, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  13. 13.If x/2 + 8 = 10, what is x? (a) 2 (b) 36 (c) 4 (d) 12
  14. 14.If 2x + 10 = 36, what is x? (a) 26 (b) 13 (c) 23 (d) 14
  15. 15.If 3x + 20 = 2x + 32, what is x? (a) 52 (b) 13 (c) 12 (d) 14
  16. 16.If 6x + 14 = 38, what is x? (a) 4 (b) 24 (c) 3 (d) 5
  17. 17.If x/5 + 4 = 12, what is x? (a) 56 (b) 8 (c) 80 (d) 40
  18. 18.If 4x + 6 = x + 30, what is x? (a) 12 (b) 8 (c) 10 (d) 9
  19. 19.If 9x + 6 = 33, what is x? (a) 3 (b) 4 (c) 27 (d) 2
  20. 20.If 8x − 92 = 12, what is x? (a) 14 (b) 104 (c) 13 (d) 12
  21. 21.If x/5 + 9 = 19, what is x? (a) 50 (b) 86 (c) 140 (d) 10
  22. 22.If x/4 + 13 = 23, what is x? (a) 79 (b) 40 (c) 144 (d) 10
  23. 23.If 4x − 3 = 9, what is x? (a) 2 (b) 12 (c) 3 (d) 4
  24. 24.If 9x + 20 = x + 108, what is x? (a) 11 (b) 16 (c) 12 (d) 13
  25. 25.If 6x + 12 = 3x + 33, what is x? (a) 15 (b) 9 (c) 7 (d) 8
  26. 26.If 9x + 7 = 7x + 31, what is x? (a) 12 (b) 14 (c) 19 (d) 13
  27. 27.If 8x + 14 = 62, what is x? (a) 6 (b) 5 (c) 7 (d) 48
  28. 28.If 4x − 5 = 19, what is x? (a) 24 (b) 6 (c) 7 (d) 5
  29. 29.If 3x + 19 = 55, what is x? (a) 36 (b) 13 (c) 11 (d) 12
  30. 30.If x/5 + 6 = 18, what is x? (a) 120 (b) 12 (c) 84 (d) 60
  31. 31.If 4x + 2 = 22, what is x? (a) 4 (b) 5 (c) 20 (d) 6
  32. 32.If 7x + 23 = 121, what is x? (a) 98 (b) 13 (c) 14 (d) 15
  33. 33.If x/6 + 8 = 18, what is x? (a) 10 (b) 100 (c) 156 (d) 60
  34. 34.If 7x + 16 = 6x + 25, what is x? (a) 9 (b) 41 (c) 11 (d) 10
  35. 35.If 5x − 45 = 15, what is x? (a) 60 (b) 12 (c) 11 (d) 13
  36. 36.If 8x + 2 = 42, what is x? (a) 4 (b) 6 (c) 5 (d) 40
  37. 37.If 5x + 9 = x + 41, what is x? (a) 8 (b) 10 (c) 7 (d) 9
  38. 38.If 9x − 24 = 66, what is x? (a) 10 (b) 11 (c) 90 (d) 9
  39. 39.If 8x − 10 = 30, what is x? (a) 40 (b) 4 (c) 5 (d) 6
  40. 40.If 4x + 18 = 66, what is x? (a) 21 (b) 12 (c) 48 (d) 13

Answer key

  1. 2
  2. 4
  3. 7
  4. 10
  5. 9
  6. 48
  7. 14
  8. 12
  9. 5
  10. 15
  11. 8
  12. 2
  13. 4
  14. 13
  15. 12
  16. 4
  17. 40
  18. 8
  19. 3
  20. 13
  21. 50
  22. 40
  23. 3
  24. 11
  25. 7
  26. 12
  27. 6
  28. 6
  29. 12
  30. 60
  31. 5
  32. 14
  33. 60
  34. 9
  35. 12
  36. 5
  37. 8
  38. 10
  39. 5
  40. 12

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