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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 421 · 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 = x + 32, what is x? (a) 7 (b) 11 (c) 5 (d) 6
  2. 2.If 9x + 4 = 6x + 31, what is x? (a) 10 (b) 8 (c) 11 (d) 9
  3. 3.If x/5 + 14 = 18, what is x? (a) 76 (b) 160 (c) 20 (d) 4
  4. 4.If x/4 + 4 = 8, what is x? (a) 4 (b) 28 (c) 16 (d) 48
  5. 5.If x/2 + 1 = 13, what is x? (a) 25 (b) 28 (c) 12 (d) 24
  6. 6.If 7x + 7 = 56, what is x? (a) 9 (b) 49 (c) 8 (d) 7
  7. 7.If 2x − 11 = 13, what is x? (a) 1 (b) 13 (c) 12 (d) 24
  8. 8.If x/5 + 10 = 13, what is x? (a) 3 (b) 55 (c) 15 (d) 115
  9. 9.If 8x + 17 = 33, what is x? (a) 1 (b) 16 (c) 2 (d) 3
  10. 10.If 3x + 11 = x + 29, what is x? (a) 10 (b) 11 (c) 9 (d) 20
  11. 11.If 6x − 15 = 33, what is x? (a) 9 (b) 48 (c) 3 (d) 8
  12. 12.If 2x − 2 = 10, what is x? (a) 7 (b) 6 (c) 12 (d) 4
  13. 13.If 3x − 41 = 4, what is x? (a) 45 (b) 16 (c) 14 (d) 15
  14. 14.If x/3 + 1 = 8, what is x? (a) 27 (b) 23 (c) 21 (d) 7
  15. 15.If 9x + 29 = 137, what is x? (a) 12 (b) 13 (c) 108 (d) 11
  16. 16.If 5x − 6 = 14, what is x? (a) 4 (b) 3 (c) 5 (d) 20
  17. 17.If 8x − 12 = 60, what is x? (a) 10 (b) 9 (c) 72 (d) 6
  18. 18.If 4x + 19 = 31, what is x? (a) 2 (b) 12 (c) 4 (d) 3
  19. 19.If 9x + 2 = 38, what is x? (a) 36 (b) 5 (c) 4 (d) 3
  20. 20.If 6x + 8 = 2x + 44, what is x? (a) 13 (b) 10 (c) 11 (d) 9
  21. 21.If 4x + 15 = 43, what is x? (a) 7 (b) 6 (c) 28 (d) 8
  22. 22.If 3x − 2 = 7, what is x? (a) 4 (b) 3 (c) 2 (d) 9
  23. 23.If 3x + 1 = 2x + 12, what is x? (a) 10 (b) 12 (c) 13 (d) 11
  24. 24.If x/4 + 12 = 17, what is x? (a) 116 (b) 5 (c) 56 (d) 20
  25. 25.If 9x + 2 = 47, what is x? (a) 45 (b) 4 (c) 5 (d) 6
  26. 26.If 9x + 5 = 8x + 13, what is x? (a) 8 (b) 10 (c) 9 (d) 18
  27. 27.If x/5 + 12 = 23, what is x? (a) 175 (b) 103 (c) 55 (d) 11
  28. 28.If x/6 + 14 = 23, what is x? (a) 124 (b) 54 (c) 9 (d) 222
  29. 29.If 4x + 25 = 53, what is x? (a) 8 (b) 28 (c) 6 (d) 7
  30. 30.If 6x − 83 = 7, what is x? (a) 15 (b) 90 (c) 14 (d) 16
  31. 31.If x/2 + 2 = 11, what is x? (a) 20 (b) 18 (c) 26 (d) 9
  32. 32.If x/2 + 4 = 8, what is x? (a) 8 (b) 24 (c) 4 (d) 12
  33. 33.If x/3 + 15 = 17, what is x? (a) 36 (b) 6 (c) 2 (d) 96
  34. 34.If 5x + 14 = 4x + 21, what is x? (a) 35 (b) 7 (c) 9 (d) 8
  35. 35.If 8x + 4 = 20, what is x? (a) 1 (b) 16 (c) 2 (d) 3
  36. 36.If 9x + 5 = 7x + 11, what is x? (a) 4 (b) 3 (c) 8 (d) 5
  37. 37.If 8x + 19 = 59, what is x? (a) 4 (b) 6 (c) 5 (d) 40
  38. 38.If 8x + 27 = 59, what is x? (a) 5 (b) 3 (c) 32 (d) 4
  39. 39.If 6x + 24 = 60, what is x? (a) 36 (b) 6 (c) 14 (d) 7
  40. 40.If x/3 + 13 = 24, what is x? (a) 33 (b) 11 (c) 59 (d) 111

Answer key

  1. 5
  2. 9
  3. 20
  4. 16
  5. 24
  6. 7
  7. 12
  8. 15
  9. 2
  10. 9
  11. 8
  12. 6
  13. 15
  14. 21
  15. 12
  16. 4
  17. 9
  18. 3
  19. 4
  20. 9
  21. 7
  22. 3
  23. 11
  24. 20
  25. 5
  26. 8
  27. 55
  28. 54
  29. 7
  30. 15
  31. 18
  32. 8
  33. 6
  34. 7
  35. 2
  36. 3
  37. 5
  38. 4
  39. 6
  40. 33

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