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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 303 · 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 4x − 37 = 7, what is x? (a) 12 (b) 44 (c) 11 (d) 10
  2. 2.If x/3 + 12 = 20, what is x? (a) 24 (b) 8 (c) 96 (d) 48
  3. 3.If 5x − 24 = 6, what is x? (a) 5 (b) 6 (c) 30 (d) 7
  4. 4.If 5x + 17 = 27, what is x? (a) 10 (b) 1 (c) 3 (d) 2
  5. 5.If x/4 + 14 = 17, what is x? (a) 3 (b) 124 (c) 54 (d) 12
  6. 6.If 6x + 6 = 2x + 26, what is x? (a) 5 (b) 7 (c) 6 (d) 8
  7. 7.If 3x + 8 = 44, what is x? (a) 12 (b) 13 (c) 36 (d) 11
  8. 8.If 5x − 11 = 9, what is x? (a) 3 (b) 5 (c) 4 (d) 20
  9. 9.If 4x + 1 = x + 16, what is x? (a) 7 (b) 6 (c) 3 (d) 5
  10. 10.If 6x + 18 = 90, what is x? (a) 72 (b) 12 (c) 18 (d) 13
  11. 11.If 8x + 8 = 4x + 20, what is x? (a) 7 (b) 3 (c) 4 (d) 1
  12. 12.If x/5 + 1 = 6, what is x? (a) 29 (b) 35 (c) 25 (d) 5
  13. 13.If 6x + 18 = 4x + 36, what is x? (a) 11 (b) 10 (c) 9 (d) 27
  14. 14.If 3x + 2 = 44, what is x? (a) 15 (b) 14 (c) 42 (d) 13
  15. 15.If x/6 + 4 = 15, what is x? (a) 86 (b) 11 (c) 114 (d) 66
  16. 16.If 6x + 21 = 69, what is x? (a) 48 (b) 8 (c) 15 (d) 9
  17. 17.If 3x + 30 = 42, what is x? (a) 24 (b) 12 (c) 5 (d) 4
  18. 18.If x/3 + 2 = 12, what is x? (a) 34 (b) 30 (c) 10 (d) 42
  19. 19.If 9x + 7 = x + 103, what is x? (a) 13 (b) 12 (c) 14 (d) 11
  20. 20.If 7x − 20 = 43, what is x? (a) 9 (b) 63 (c) 8 (d) 10
  21. 21.If x/2 + 15 = 22, what is x? (a) 29 (b) 7 (c) 14 (d) 74
  22. 22.If 7x + 24 = 115, what is x? (a) 14 (b) 91 (c) 13 (d) 12
  23. 23.If 4x − 15 = 9, what is x? (a) 7 (b) 24 (c) 5 (d) 6
  24. 24.If 3x + 1 = 46, what is x? (a) 14 (b) 15 (c) 45 (d) 16
  25. 25.If 8x + 26 = 50, what is x? (a) 2 (b) 3 (c) 24 (d) 4
  26. 26.If 8x + 10 = 3x + 70, what is x? (a) 13 (b) 16 (c) 12 (d) 14
  27. 27.If 6x + 30 = 108, what is x? (a) 78 (b) 13 (c) 23 (d) 14
  28. 28.If x/6 + 11 = 19, what is x? (a) 8 (b) 103 (c) 180 (d) 48
  29. 29.If 3x + 11 = 20, what is x? (a) 3 (b) 2 (c) 4 (d) 9
  30. 30.If 8x + 8 = 3x + 13, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  31. 31.If 2x − 2 = 2, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  32. 32.If 4x + 26 = 46, what is x? (a) 6 (b) 20 (c) 18 (d) 5
  33. 33.If 4x + 20 = x + 38, what is x? (a) 8 (b) 5 (c) 7 (d) 6
  34. 34.If x/2 + 1 = 4, what is x? (a) 3 (b) 10 (c) 7 (d) 6
  35. 35.If 2x − 21 = 1, what is x? (a) 11 (b) 10 (c) 22 (d) 12
  36. 36.If 5x + 30 = 95, what is x? (a) 14 (b) 65 (c) 13 (d) 25
  37. 37.If 5x + 25 = 55, what is x? (a) 30 (b) 7 (c) 6 (d) 16
  38. 38.If 5x − 19 = 1, what is x? (a) 3 (b) 4 (c) 20 (d) 5
  39. 39.If 3x + 3 = 24, what is x? (a) 8 (b) 7 (c) 21 (d) 9
  40. 40.If 6x + 21 = 99, what is x? (a) 20 (b) 78 (c) 13 (d) 14

Answer key

  1. 11
  2. 24
  3. 6
  4. 2
  5. 12
  6. 5
  7. 12
  8. 4
  9. 5
  10. 12
  11. 3
  12. 25
  13. 9
  14. 14
  15. 66
  16. 8
  17. 4
  18. 30
  19. 12
  20. 9
  21. 14
  22. 13
  23. 6
  24. 15
  25. 3
  26. 12
  27. 13
  28. 48
  29. 3
  30. 1
  31. 2
  32. 5
  33. 6
  34. 6
  35. 11
  36. 13
  37. 6
  38. 4
  39. 7
  40. 13

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