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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 169 · 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 x/4 + 4 = 15, what is x? (a) 56 (b) 44 (c) 76 (d) 11
  2. 2.If 6x + 8 = 2x + 56, what is x? (a) 16 (b) 12 (c) 6 (d) 13
  3. 3.If 3x − 25 = 5, what is x? (a) 11 (b) 10 (c) 30 (d) 9
  4. 4.If 4x + 29 = 69, what is x? (a) 9 (b) 40 (c) 11 (d) 10
  5. 5.If 4x − 15 = 17, what is x? (a) 9 (b) 7 (c) 32 (d) 8
  6. 6.If 5x − 2 = 43, what is x? (a) 45 (b) 8 (c) 10 (d) 9
  7. 7.If 3x − 11 = 31, what is x? (a) 42 (b) 13 (c) 15 (d) 14
  8. 8.If 4x + 12 = 32, what is x? (a) 11 (b) 20 (c) 5 (d) 6
  9. 9.If 4x + 18 = 78, what is x? (a) 15 (b) 24 (c) 16 (d) 60
  10. 10.If 9x + 20 = 74, what is x? (a) 54 (b) 7 (c) 6 (d) 5
  11. 11.If 5x + 20 = 90, what is x? (a) 15 (b) 22 (c) 14 (d) 70
  12. 12.If 9x + 16 = 2x + 37, what is x? (a) 3 (b) 2 (c) 5 (d) 4
  13. 13.If 8x + 18 = 3x + 43, what is x? (a) 5 (b) 4 (c) 6 (d) 7
  14. 14.If 4x + 15 = 2x + 25, what is x? (a) 7 (b) 20 (c) 5 (d) 6
  15. 15.If 6x + 1 = 55, what is x? (a) 10 (b) 54 (c) 8 (d) 9
  16. 16.If 4x + 10 = 2x + 22, what is x? (a) 2 (b) 7 (c) 6 (d) 16
  17. 17.If 5x − 67 = 3, what is x? (a) 15 (b) 70 (c) 14 (d) 13
  18. 18.If x/2 + 7 = 15, what is x? (a) 16 (b) 8 (c) 23 (d) 44
  19. 19.If x/4 + 5 = 17, what is x? (a) 88 (b) 12 (c) 48 (d) 63
  20. 20.If 8x − 54 = 2, what is x? (a) 8 (b) 6 (c) 7 (d) 56
  21. 21.If 6x − 8 = 10, what is x? (a) 18 (b) 4 (c) 3 (d) 2
  22. 22.If x/6 + 10 = 20, what is x? (a) 60 (b) 110 (c) 10 (d) 180
  23. 23.If 9x + 19 = 4x + 34, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  24. 24.If 5x + 20 = x + 36, what is x? (a) 5 (b) 6 (c) 4 (d) 14
  25. 25.If 2x + 1 = 19, what is x? (a) 8 (b) 10 (c) 9 (d) 18
  26. 26.If x/6 + 4 = 6, what is x? (a) 12 (b) 32 (c) 2 (d) 60
  27. 27.If 7x + 6 = 2x + 61, what is x? (a) 11 (b) 13 (c) 10 (d) 12
  28. 28.If 5x + 3 = 4x + 15, what is x? (a) 18 (b) 13 (c) 14 (d) 12
  29. 29.If 9x + 6 = 7x + 14, what is x? (a) 4 (b) 10 (c) 6 (d) 5
  30. 30.If 6x + 3 = 4x + 19, what is x? (a) 10 (b) 9 (c) 11 (d) 8
  31. 31.If x/4 + 10 = 20, what is x? (a) 70 (b) 10 (c) 40 (d) 120
  32. 32.If 9x + 4 = 7x + 20, what is x? (a) 9 (b) 12 (c) 8 (d) 1
  33. 33.If 2x + 15 = 29, what is x? (a) 22 (b) 7 (c) 14 (d) 8
  34. 34.If 6x + 24 = 36, what is x? (a) 10 (b) 12 (c) 2 (d) 3
  35. 35.If x/5 + 15 = 19, what is x? (a) 20 (b) 4 (c) 170 (d) 80
  36. 36.If 3x + 4 = 2x + 16, what is x? (a) 12 (b) 13 (c) 14 (d) 20
  37. 37.If 8x + 10 = 6x + 32, what is x? (a) 12 (b) 13 (c) 21 (d) 11
  38. 38.If 8x − 105 = 7, what is x? (a) 14 (b) 112 (c) 15 (d) 13
  39. 39.If x/2 + 5 = 9, what is x? (a) 13 (b) 28 (c) 4 (d) 8
  40. 40.If 3x − 6 = 24, what is x? (a) 6 (b) 11 (c) 30 (d) 10

Answer key

  1. 44
  2. 12
  3. 10
  4. 10
  5. 8
  6. 9
  7. 14
  8. 5
  9. 15
  10. 6
  11. 14
  12. 3
  13. 5
  14. 5
  15. 9
  16. 6
  17. 14
  18. 16
  19. 48
  20. 7
  21. 3
  22. 60
  23. 3
  24. 4
  25. 9
  26. 12
  27. 11
  28. 12
  29. 4
  30. 8
  31. 40
  32. 8
  33. 7
  34. 2
  35. 20
  36. 12
  37. 11
  38. 14
  39. 8
  40. 10

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