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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 745 · 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/3 + 3 = 10, what is x? (a) 27 (b) 7 (c) 39 (d) 21
  2. 2.If x/4 + 15 = 27, what is x? (a) 168 (b) 93 (c) 48 (d) 12
  3. 3.If 9x − 105 = 12, what is x? (a) 117 (b) 14 (c) 12 (d) 13
  4. 4.If 3x − 26 = 13, what is x? (a) 14 (b) 39 (c) 13 (d) 12
  5. 5.If 8x + 15 = 2x + 21, what is x? (a) 1 (b) 2 (c) 6 (d) 3
  6. 6.If x/3 + 5 = 15, what is x? (a) 10 (b) 60 (c) 40 (d) 30
  7. 7.If 6x + 4 = 82, what is x? (a) 12 (b) 14 (c) 78 (d) 13
  8. 8.If 7x + 28 = 63, what is x? (a) 5 (b) 13 (c) 6 (d) 35
  9. 9.If 6x + 3 = 4x + 21, what is x? (a) 12 (b) 9 (c) 10 (d) 11
  10. 10.If 6x + 1 = 2x + 17, what is x? (a) 5 (b) 2 (c) 4 (d) 6
  11. 11.If x/5 + 15 = 24, what is x? (a) 45 (b) 9 (c) 105 (d) 195
  12. 12.If 9x + 23 = 41, what is x? (a) 18 (b) 2 (c) 1 (d) 3
  13. 13.If 9x + 10 = 6x + 19, what is x? (a) 2 (b) 3 (c) 5 (d) 4
  14. 14.If 7x + 5 = 68, what is x? (a) 8 (b) 63 (c) 10 (d) 9
  15. 15.If 8x + 11 = 6x + 31, what is x? (a) 12 (b) 11 (c) 21 (d) 10
  16. 16.If 3x − 33 = 12, what is x? (a) 15 (b) 16 (c) 14 (d) 45
  17. 17.If x/3 + 2 = 14, what is x? (a) 36 (b) 40 (c) 48 (d) 12
  18. 18.If 3x − 32 = 13, what is x? (a) 14 (b) 16 (c) 45 (d) 15
  19. 19.If 7x − 45 = 11, what is x? (a) 7 (b) 9 (c) 8 (d) 56
  20. 20.If 2x − 6 = 4, what is x? (a) 6 (b) 10 (c) 4 (d) 5
  21. 21.If x/5 + 7 = 9, what is x? (a) 38 (b) 80 (c) 10 (d) 2
  22. 22.If x/6 + 5 = 9, what is x? (a) 4 (b) 49 (c) 24 (d) 84
  23. 23.If 2x − 8 = 4, what is x? (a) 6 (b) 7 (c) 5 (d) 12
  24. 24.If 4x + 17 = x + 29, what is x? (a) 3 (b) 5 (c) 6 (d) 4
  25. 25.If 8x − 103 = 1, what is x? (a) 14 (b) 13 (c) 12 (d) 104
  26. 26.If 7x + 18 = 46, what is x? (a) 3 (b) 5 (c) 4 (d) 28
  27. 27.If 4x − 7 = 1, what is x? (a) 3 (b) 2 (c) 8 (d) 1
  28. 28.If 5x − 4 = 6, what is x? (a) 1 (b) 3 (c) 2 (d) 10
  29. 29.If x/4 + 6 = 8, what is x? (a) 56 (b) 2 (c) 26 (d) 8
  30. 30.If 9x + 8 = 35, what is x? (a) 3 (b) 2 (c) 4 (d) 27
  31. 31.If 3x + 4 = 49, what is x? (a) 14 (b) 15 (c) 45 (d) 16
  32. 32.If 7x + 15 = 99, what is x? (a) 13 (b) 12 (c) 84 (d) 11
  33. 33.If 3x + 7 = 31, what is x? (a) 24 (b) 7 (c) 9 (d) 8
  34. 34.If 7x + 29 = 64, what is x? (a) 5 (b) 4 (c) 35 (d) 6
  35. 35.If 8x − 18 = 22, what is x? (a) 6 (b) 4 (c) 40 (d) 5
  36. 36.If x/5 + 1 = 5, what is x? (a) 4 (b) 24 (c) 20 (d) 30
  37. 37.If x/5 + 4 = 9, what is x? (a) 25 (b) 65 (c) 41 (d) 5
  38. 38.If 3x − 25 = 5, what is x? (a) 9 (b) 10 (c) 11 (d) 30
  39. 39.If x/2 + 9 = 16, what is x? (a) 23 (b) 50 (c) 14 (d) 7
  40. 40.If x/2 + 2 = 10, what is x? (a) 24 (b) 8 (c) 16 (d) 18

Answer key

  1. 21
  2. 48
  3. 13
  4. 13
  5. 1
  6. 30
  7. 13
  8. 5
  9. 9
  10. 4
  11. 45
  12. 2
  13. 3
  14. 9
  15. 10
  16. 15
  17. 36
  18. 15
  19. 8
  20. 5
  21. 10
  22. 24
  23. 6
  24. 4
  25. 13
  26. 4
  27. 2
  28. 2
  29. 8
  30. 3
  31. 15
  32. 12
  33. 8
  34. 5
  35. 5
  36. 20
  37. 25
  38. 10
  39. 14
  40. 16

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