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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 278 · 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 6x + 5 = 4x + 11, what is x? (a) 5 (b) 4 (c) 8 (d) 3
  2. 2.If 2x − 5 = 5, what is x? (a) 4 (b) 5 (c) 6 (d) 10
  3. 3.If 5x + 7 = 27, what is x? (a) 4 (b) 5 (c) 20 (d) 3
  4. 4.If 2x − 15 = 1, what is x? (a) 16 (b) 8 (c) 9 (d) 7
  5. 5.If 7x + 9 = 65, what is x? (a) 56 (b) 8 (c) 7 (d) 9
  6. 6.If x/4 + 6 = 9, what is x? (a) 3 (b) 60 (c) 30 (d) 12
  7. 7.If 2x + 4 = 10, what is x? (a) 6 (b) 3 (c) 4 (d) 7
  8. 8.If x/5 + 8 = 13, what is x? (a) 105 (b) 57 (c) 5 (d) 25
  9. 9.If 3x − 14 = 4, what is x? (a) 5 (b) 6 (c) 7 (d) 18
  10. 10.If 9x + 10 = 91, what is x? (a) 10 (b) 81 (c) 9 (d) 8
  11. 11.If 3x − 2 = 43, what is x? (a) 14 (b) 16 (c) 45 (d) 15
  12. 12.If 4x − 6 = 6, what is x? (a) 3 (b) 12 (c) 4 (d) 2
  13. 13.If x/2 + 3 = 14, what is x? (a) 11 (b) 34 (c) 22 (d) 25
  14. 14.If 3x + 24 = 54, what is x? (a) 30 (b) 10 (c) 26 (d) 11
  15. 15.If 5x + 28 = 73, what is x? (a) 8 (b) 9 (c) 10 (d) 45
  16. 16.If x/6 + 14 = 26, what is x? (a) 12 (b) 72 (c) 240 (d) 142
  17. 17.If 9x − 18 = 18, what is x? (a) 5 (b) 4 (c) 36 (d) 3
  18. 18.If 8x − 2 = 14, what is x? (a) 1 (b) 3 (c) 2 (d) 16
  19. 19.If 8x + 18 = 106, what is x? (a) 10 (b) 12 (c) 11 (d) 88
  20. 20.If 8x + 4 = 28, what is x? (a) 2 (b) 4 (c) 3 (d) 24
  21. 21.If 3x + 16 = x + 38, what is x? (a) 12 (b) 11 (c) 27 (d) 13
  22. 22.If x/2 + 14 = 24, what is x? (a) 10 (b) 20 (c) 76 (d) 34
  23. 23.If 7x − 11 = 66, what is x? (a) 77 (b) 11 (c) 12 (d) 10
  24. 24.If 5x + 12 = 27, what is x? (a) 3 (b) 2 (c) 15 (d) 4
  25. 25.If 2x − 14 = 4, what is x? (a) 9 (b) 8 (c) 18 (d) 10
  26. 26.If 2x + 20 = 36, what is x? (a) 9 (b) 28 (c) 16 (d) 8
  27. 27.If x/6 + 9 = 20, what is x? (a) 11 (b) 66 (c) 111 (d) 174
  28. 28.If x/6 + 1 = 5, what is x? (a) 36 (b) 29 (c) 24 (d) 4
  29. 29.If 8x + 6 = 54, what is x? (a) 5 (b) 48 (c) 6 (d) 7
  30. 30.If 9x + 12 = 7x + 14, what is x? (a) 13 (b) 2 (c) 3 (d) 1
  31. 31.If x/3 + 4 = 11, what is x? (a) 29 (b) 7 (c) 45 (d) 21
  32. 32.If 9x + 16 = x + 48, what is x? (a) 5 (b) 8 (c) 6 (d) 4
  33. 33.If 8x + 16 = x + 37, what is x? (a) 4 (b) 3 (c) 5 (d) 2
  34. 34.If 3x + 12 = 2x + 15, what is x? (a) 5 (b) 4 (c) 27 (d) 3
  35. 35.If 7x − 69 = 36, what is x? (a) 16 (b) 15 (c) 105 (d) 14
  36. 36.If 3x + 3 = 2x + 14, what is x? (a) 12 (b) 17 (c) 13 (d) 11
  37. 37.If x/4 + 14 = 18, what is x? (a) 4 (b) 58 (c) 16 (d) 128
  38. 38.If 2x + 23 = 45, what is x? (a) 12 (b) 22 (c) 11 (d) 34
  39. 39.If 5x − 12 = 3, what is x? (a) 15 (b) 2 (c) 4 (d) 3
  40. 40.If 6x − 14 = 58, what is x? (a) 72 (b) 13 (c) 12 (d) 11

Answer key

  1. 3
  2. 5
  3. 4
  4. 8
  5. 8
  6. 12
  7. 3
  8. 25
  9. 6
  10. 9
  11. 15
  12. 3
  13. 22
  14. 10
  15. 9
  16. 72
  17. 4
  18. 2
  19. 11
  20. 3
  21. 11
  22. 20
  23. 11
  24. 3
  25. 9
  26. 8
  27. 66
  28. 24
  29. 6
  30. 1
  31. 21
  32. 4
  33. 3
  34. 3
  35. 15
  36. 11
  37. 16
  38. 11
  39. 3
  40. 12

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