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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 288 · 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 + 2 = 6x + 10, what is x? (a) 10 (b) 8 (c) 9 (d) 12
  2. 2.If 3x + 3 = 18, what is x? (a) 15 (b) 6 (c) 7 (d) 5
  3. 3.If x/2 + 3 = 6, what is x? (a) 3 (b) 6 (c) 18 (d) 9
  4. 4.If 6x + 19 = 55, what is x? (a) 6 (b) 7 (c) 36 (d) 5
  5. 5.If 8x + 23 = 71, what is x? (a) 5 (b) 6 (c) 7 (d) 48
  6. 6.If 2x + 17 = 47, what is x? (a) 32 (b) 16 (c) 15 (d) 30
  7. 7.If x/6 + 8 = 12, what is x? (a) 4 (b) 24 (c) 64 (d) 120
  8. 8.If x/4 + 12 = 20, what is x? (a) 8 (b) 128 (c) 68 (d) 32
  9. 9.If 6x − 12 = 60, what is x? (a) 12 (b) 72 (c) 8 (d) 13
  10. 10.If 6x + 9 = x + 44, what is x? (a) 5 (b) 9 (c) 8 (d) 7
  11. 11.If 6x + 5 = 3x + 35, what is x? (a) 9 (b) 12 (c) 10 (d) 11
  12. 12.If x/3 + 13 = 18, what is x? (a) 93 (b) 41 (c) 5 (d) 15
  13. 13.If 2x + 29 = 57, what is x? (a) 14 (b) 43 (c) 15 (d) 28
  14. 14.If 3x + 20 = x + 22, what is x? (a) 3 (b) 2 (c) 21 (d) 1
  15. 15.If 5x − 21 = 14, what is x? (a) 6 (b) 8 (c) 7 (d) 35
  16. 16.If 2x + 21 = 47, what is x? (a) 34 (b) 26 (c) 14 (d) 13
  17. 17.If 4x + 9 = 45, what is x? (a) 36 (b) 9 (c) 10 (d) 8
  18. 18.If 9x + 10 = 46, what is x? (a) 5 (b) 3 (c) 36 (d) 4
  19. 19.If 9x + 2 = 5x + 46, what is x? (a) 12 (b) 10 (c) 13 (d) 11
  20. 20.If 6x + 1 = 85, what is x? (a) 15 (b) 84 (c) 13 (d) 14
  21. 21.If 7x + 1 = 6x + 5, what is x? (a) 5 (b) 6 (c) 4 (d) 3
  22. 22.If x/2 + 3 = 8, what is x? (a) 10 (b) 5 (c) 22 (d) 13
  23. 23.If 9x − 49 = 23, what is x? (a) 72 (b) 9 (c) 8 (d) 7
  24. 24.If 8x + 1 = 113, what is x? (a) 15 (b) 14 (c) 13 (d) 112
  25. 25.If 2x − 6 = 4, what is x? (a) 5 (b) 6 (c) 10 (d) 4
  26. 26.If 3x + 7 = x + 15, what is x? (a) 5 (b) 11 (c) 4 (d) 2
  27. 27.If 7x − 20 = 1, what is x? (a) 2 (b) 4 (c) 3 (d) 21
  28. 28.If 6x + 15 = 81, what is x? (a) 66 (b) 11 (c) 16 (d) 12
  29. 29.If 4x + 10 = 3x + 15, what is x? (a) 6 (b) 25 (c) 7 (d) 5
  30. 30.If 8x + 16 = 56, what is x? (a) 6 (b) 9 (c) 40 (d) 5
  31. 31.If 8x + 13 = x + 48, what is x? (a) 6 (b) 4 (c) 7 (d) 5
  32. 32.If 3x − 2 = 22, what is x? (a) 9 (b) 24 (c) 7 (d) 8
  33. 33.If 5x − 16 = 29, what is x? (a) 8 (b) 9 (c) 10 (d) 45
  34. 34.If 9x − 7 = 128, what is x? (a) 15 (b) 16 (c) 135 (d) 14
  35. 35.If 5x − 4 = 16, what is x? (a) 4 (b) 20 (c) 3 (d) 5
  36. 36.If 3x − 7 = 5, what is x? (a) 5 (b) 3 (c) 4 (d) 12
  37. 37.If x/3 + 5 = 16, what is x? (a) 33 (b) 11 (c) 43 (d) 63
  38. 38.If 5x + 4 = 34, what is x? (a) 6 (b) 30 (c) 7 (d) 5
  39. 39.If 5x + 3 = 2x + 12, what is x? (a) 2 (b) 3 (c) 4 (d) 5
  40. 40.If x/5 + 9 = 16, what is x? (a) 7 (b) 35 (c) 71 (d) 125

Answer key

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

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