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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 795 · 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 + 2 = 4x + 4, what is x? (a) 6 (b) 4 (c) 3 (d) 2
  2. 2.If 2x + 17 = 21, what is x? (a) 19 (b) 4 (c) 2 (d) 3
  3. 3.If 8x − 24 = 16, what is x? (a) 4 (b) 6 (c) 5 (d) 40
  4. 4.If 5x − 7 = 8, what is x? (a) 15 (b) 4 (c) 2 (d) 3
  5. 5.If 3x + 20 = 2x + 24, what is x? (a) 44 (b) 4 (c) 6 (d) 5
  6. 6.If 8x − 12 = 36, what is x? (a) 3 (b) 7 (c) 6 (d) 48
  7. 7.If 7x − 24 = 18, what is x? (a) 5 (b) 6 (c) 42 (d) 7
  8. 8.If 7x + 14 = 6x + 16, what is x? (a) 30 (b) 3 (c) 4 (d) 2
  9. 9.If 7x + 10 = x + 64, what is x? (a) 9 (b) 8 (c) 10 (d) 11
  10. 10.If 3x + 9 = 45, what is x? (a) 18 (b) 13 (c) 12 (d) 36
  11. 11.If 2x + 9 = 35, what is x? (a) 13 (b) 26 (c) 22 (d) 14
  12. 12.If 2x + 3 = 21, what is x? (a) 12 (b) 18 (c) 10 (d) 9
  13. 13.If 6x + 10 = 4x + 16, what is x? (a) 13 (b) 5 (c) 3 (d) 4
  14. 14.If x/2 + 2 = 12, what is x? (a) 10 (b) 22 (c) 28 (d) 20
  15. 15.If x/5 + 7 = 13, what is x? (a) 58 (b) 100 (c) 30 (d) 6
  16. 16.If 6x + 18 = 36, what is x? (a) 18 (b) 3 (c) 9 (d) 4
  17. 17.If 7x + 8 = 85, what is x? (a) 10 (b) 77 (c) 12 (d) 11
  18. 18.If x/6 + 8 = 16, what is x? (a) 8 (b) 88 (c) 144 (d) 48
  19. 19.If x/6 + 3 = 7, what is x? (a) 24 (b) 39 (c) 4 (d) 60
  20. 20.If 2x − 6 = 8, what is x? (a) 1 (b) 14 (c) 7 (d) 8
  21. 21.If 9x + 12 = 5x + 16, what is x? (a) 3 (b) 1 (c) 2 (d) 7
  22. 22.If 9x + 5 = 7x + 25, what is x? (a) 12 (b) 15 (c) 10 (d) 11
  23. 23.If 7x + 16 = 4x + 19, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  24. 24.If 5x − 65 = 10, what is x? (a) 75 (b) 14 (c) 16 (d) 15
  25. 25.If 4x + 1 = 53, what is x? (a) 12 (b) 52 (c) 14 (d) 13
  26. 26.If 6x + 19 = 4x + 39, what is x? (a) 29 (b) 10 (c) 2 (d) 11
  27. 27.If 6x + 29 = 83, what is x? (a) 10 (b) 54 (c) 9 (d) 8
  28. 28.If 7x + 30 = 93, what is x? (a) 8 (b) 9 (c) 63 (d) 10
  29. 29.If 9x + 5 = x + 93, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  30. 30.If 8x + 20 = x + 62, what is x? (a) 5 (b) 8 (c) 7 (d) 6
  31. 31.If x/6 + 4 = 10, what is x? (a) 56 (b) 84 (c) 6 (d) 36
  32. 32.If x/3 + 12 = 19, what is x? (a) 7 (b) 45 (c) 93 (d) 21
  33. 33.If 7x − 21 = 77, what is x? (a) 8 (b) 98 (c) 14 (d) 15
  34. 34.If x/4 + 5 = 15, what is x? (a) 10 (b) 55 (c) 80 (d) 40
  35. 35.If x/5 + 13 = 24, what is x? (a) 107 (b) 11 (c) 185 (d) 55
  36. 36.If 3x + 9 = 54, what is x? (a) 45 (b) 16 (c) 15 (d) 21
  37. 37.If 4x + 1 = 2x + 7, what is x? (a) 5 (b) 3 (c) 4 (d) 1
  38. 38.If 9x − 50 = 40, what is x? (a) 9 (b) 90 (c) 10 (d) 11
  39. 39.If 4x + 7 = 2x + 9, what is x? (a) 1 (b) 2 (c) 8 (d) 3
  40. 40.If x/6 + 2 = 7, what is x? (a) 30 (b) 5 (c) 54 (d) 40

Answer key

  1. 2
  2. 2
  3. 5
  4. 3
  5. 4
  6. 6
  7. 6
  8. 2
  9. 9
  10. 12
  11. 13
  12. 9
  13. 3
  14. 20
  15. 30
  16. 3
  17. 11
  18. 48
  19. 24
  20. 7
  21. 1
  22. 10
  23. 1
  24. 15
  25. 13
  26. 10
  27. 9
  28. 9
  29. 11
  30. 6
  31. 36
  32. 21
  33. 14
  34. 40
  35. 55
  36. 15
  37. 3
  38. 10
  39. 1
  40. 30

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