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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 348 · 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 5x − 12 = 58, what is x? (a) 70 (b) 14 (c) 13 (d) 15
  2. 2.If x/5 + 14 = 19, what is x? (a) 5 (b) 25 (c) 165 (d) 81
  3. 3.If x/2 + 2 = 4, what is x? (a) 12 (b) 6 (c) 2 (d) 4
  4. 4.If 6x − 5 = 13, what is x? (a) 4 (b) 3 (c) 2 (d) 18
  5. 5.If 6x + 13 = 2x + 21, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  6. 6.If 9x − 53 = 73, what is x? (a) 13 (b) 14 (c) 15 (d) 126
  7. 7.If 8x + 6 = 78, what is x? (a) 10 (b) 8 (c) 9 (d) 72
  8. 8.If 6x + 2 = 26, what is x? (a) 5 (b) 4 (c) 24 (d) 3
  9. 9.If 8x + 26 = 90, what is x? (a) 64 (b) 7 (c) 8 (d) 9
  10. 10.If 6x − 8 = 22, what is x? (a) 5 (b) 30 (c) 6 (d) 4
  11. 11.If 3x + 18 = 57, what is x? (a) 14 (b) 39 (c) 25 (d) 13
  12. 12.If x/6 + 14 = 21, what is x? (a) 210 (b) 112 (c) 42 (d) 7
  13. 13.If x/4 + 1 = 11, what is x? (a) 10 (b) 48 (c) 43 (d) 40
  14. 14.If 8x + 3 = 2x + 51, what is x? (a) 8 (b) 10 (c) 7 (d) 9
  15. 15.If 3x + 6 = x + 24, what is x? (a) 10 (b) 11 (c) 9 (d) 15
  16. 16.If x/2 + 13 = 15, what is x? (a) 4 (b) 2 (c) 17 (d) 56
  17. 17.If 5x + 9 = 79, what is x? (a) 70 (b) 15 (c) 13 (d) 14
  18. 18.If 7x + 18 = 4x + 51, what is x? (a) 3 (b) 23 (c) 11 (d) 12
  19. 19.If x/4 + 14 = 23, what is x? (a) 36 (b) 78 (c) 148 (d) 9
  20. 20.If 3x − 6 = 24, what is x? (a) 10 (b) 6 (c) 11 (d) 30
  21. 21.If x/3 + 8 = 17, what is x? (a) 27 (b) 9 (c) 75 (d) 43
  22. 22.If 6x + 3 = 27, what is x? (a) 3 (b) 24 (c) 4 (d) 5
  23. 23.If 5x + 25 = 100, what is x? (a) 25 (b) 15 (c) 16 (d) 75
  24. 24.If 8x + 11 = x + 32, what is x? (a) 4 (b) 3 (c) 2 (d) 5
  25. 25.If x/5 + 10 = 13, what is x? (a) 3 (b) 55 (c) 15 (d) 115
  26. 26.If x/3 + 13 = 16, what is x? (a) 87 (b) 3 (c) 35 (d) 9
  27. 27.If 7x + 19 = 3x + 23, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  28. 28.If 5x − 6 = 24, what is x? (a) 30 (b) 5 (c) 7 (d) 6
  29. 29.If x/6 + 5 = 12, what is x? (a) 102 (b) 7 (c) 42 (d) 67
  30. 30.If x/2 + 10 = 17, what is x? (a) 7 (b) 14 (c) 54 (d) 24
  31. 31.If 2x + 28 = 36, what is x? (a) 5 (b) 8 (c) 32 (d) 4
  32. 32.If 3x + 10 = 2x + 21, what is x? (a) 12 (b) 13 (c) 31 (d) 11
  33. 33.If x/6 + 6 = 8, what is x? (a) 84 (b) 42 (c) 12 (d) 2
  34. 34.If 4x + 9 = 61, what is x? (a) 52 (b) 14 (c) 12 (d) 13
  35. 35.If 9x − 89 = 10, what is x? (a) 10 (b) 11 (c) 99 (d) 12
  36. 36.If 7x + 16 = 114, what is x? (a) 98 (b) 13 (c) 15 (d) 14
  37. 37.If 8x + 21 = 85, what is x? (a) 8 (b) 64 (c) 9 (d) 7
  38. 38.If 3x + 10 = 19, what is x? (a) 4 (b) 3 (c) 9 (d) 2
  39. 39.If 2x − 7 = 9, what is x? (a) 9 (b) 8 (c) 16 (d) 1
  40. 40.If x/5 + 2 = 8, what is x? (a) 6 (b) 38 (c) 50 (d) 30

Answer key

  1. 14
  2. 25
  3. 4
  4. 3
  5. 2
  6. 14
  7. 9
  8. 4
  9. 8
  10. 5
  11. 13
  12. 42
  13. 40
  14. 8
  15. 9
  16. 4
  17. 14
  18. 11
  19. 36
  20. 10
  21. 27
  22. 4
  23. 15
  24. 3
  25. 15
  26. 9
  27. 1
  28. 6
  29. 42
  30. 14
  31. 4
  32. 11
  33. 12
  34. 13
  35. 11
  36. 14
  37. 8
  38. 3
  39. 8
  40. 30

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