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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 686 · 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 2x − 12 = 4, what is x? (a) 8 (b) 7 (c) 16 (d) 9
  2. 2.If x/2 + 8 = 18, what is x? (a) 52 (b) 20 (c) 28 (d) 10
  3. 3.If x/5 + 2 = 4, what is x? (a) 18 (b) 30 (c) 2 (d) 10
  4. 4.If 2x − 3 = 9, what is x? (a) 7 (b) 12 (c) 6 (d) 3
  5. 5.If x/4 + 2 = 6, what is x? (a) 22 (b) 16 (c) 4 (d) 32
  6. 6.If x/5 + 5 = 15, what is x? (a) 100 (b) 50 (c) 70 (d) 10
  7. 7.If 7x − 2 = 103, what is x? (a) 16 (b) 14 (c) 15 (d) 105
  8. 8.If 6x − 24 = 36, what is x? (a) 60 (b) 10 (c) 11 (d) 2
  9. 9.If 8x + 2 = 2x + 8, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  10. 10.If 6x − 6 = 24, what is x? (a) 6 (b) 5 (c) 30 (d) 3
  11. 11.If 5x − 27 = 3, what is x? (a) 5 (b) 7 (c) 30 (d) 6
  12. 12.If 9x − 45 = 90, what is x? (a) 15 (b) 16 (c) 5 (d) 135
  13. 13.If x/3 + 5 = 10, what is x? (a) 45 (b) 5 (c) 15 (d) 25
  14. 14.If 3x − 4 = 26, what is x? (a) 11 (b) 30 (c) 9 (d) 10
  15. 15.If 3x + 7 = 31, what is x? (a) 8 (b) 24 (c) 9 (d) 7
  16. 16.If x/5 + 10 = 21, what is x? (a) 55 (b) 155 (c) 11 (d) 95
  17. 17.If 4x + 16 = 3x + 17, what is x? (a) 3 (b) 2 (c) 1 (d) 33
  18. 18.If 2x − 21 = 5, what is x? (a) 13 (b) 26 (c) 14 (d) 12
  19. 19.If 9x − 10 = 26, what is x? (a) 4 (b) 3 (c) 5 (d) 36
  20. 20.If 9x + 16 = 61, what is x? (a) 4 (b) 5 (c) 45 (d) 6
  21. 21.If 7x + 9 = 3x + 53, what is x? (a) 13 (b) 11 (c) 10 (d) 12
  22. 22.If 6x − 8 = 70, what is x? (a) 78 (b) 13 (c) 12 (d) 14
  23. 23.If 4x − 7 = 21, what is x? (a) 6 (b) 28 (c) 8 (d) 7
  24. 24.If x/6 + 4 = 13, what is x? (a) 9 (b) 102 (c) 74 (d) 54
  25. 25.If 5x + 2 = 17, what is x? (a) 4 (b) 3 (c) 2 (d) 15
  26. 26.If x/4 + 6 = 9, what is x? (a) 60 (b) 30 (c) 3 (d) 12
  27. 27.If x/4 + 5 = 8, what is x? (a) 3 (b) 12 (c) 27 (d) 52
  28. 28.If 4x + 28 = 44, what is x? (a) 5 (b) 16 (c) 4 (d) 18
  29. 29.If 6x + 18 = 108, what is x? (a) 15 (b) 16 (c) 90 (d) 21
  30. 30.If 3x + 29 = 35, what is x? (a) 6 (b) 3 (c) 2 (d) 1
  31. 31.If 6x + 6 = 72, what is x? (a) 11 (b) 12 (c) 13 (d) 66
  32. 32.If 4x + 15 = 47, what is x? (a) 32 (b) 7 (c) 9 (d) 8
  33. 33.If x/4 + 9 = 12, what is x? (a) 12 (b) 3 (c) 84 (d) 39
  34. 34.If 8x + 26 = 130, what is x? (a) 104 (b) 13 (c) 14 (d) 12
  35. 35.If 3x + 23 = 68, what is x? (a) 14 (b) 15 (c) 45 (d) 16
  36. 36.If 3x + 17 = x + 25, what is x? (a) 21 (b) 2 (c) 4 (d) 5
  37. 37.If 2x + 30 = 60, what is x? (a) 15 (b) 45 (c) 30 (d) 16
  38. 38.If 3x − 18 = 24, what is x? (a) 14 (b) 15 (c) 2 (d) 42
  39. 39.If 6x + 11 = 29, what is x? (a) 4 (b) 3 (c) 18 (d) 2
  40. 40.If 2x + 9 = 39, what is x? (a) 15 (b) 16 (c) 24 (d) 30

Answer key

  1. 8
  2. 20
  3. 10
  4. 6
  5. 16
  6. 50
  7. 15
  8. 10
  9. 1
  10. 5
  11. 6
  12. 15
  13. 15
  14. 10
  15. 8
  16. 55
  17. 1
  18. 13
  19. 4
  20. 5
  21. 11
  22. 13
  23. 7
  24. 54
  25. 3
  26. 12
  27. 12
  28. 4
  29. 15
  30. 2
  31. 11
  32. 8
  33. 12
  34. 13
  35. 15
  36. 4
  37. 15
  38. 14
  39. 3
  40. 15

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