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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 304 · 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/6 + 1 = 13, what is x? (a) 77 (b) 84 (c) 72 (d) 12
  2. 2.If 9x + 4 = 139, what is x? (a) 135 (b) 14 (c) 16 (d) 15
  3. 3.If 9x + 7 = 7x + 13, what is x? (a) 3 (b) 4 (c) 5 (d) 10
  4. 4.If 4x + 5 = x + 23, what is x? (a) 7 (b) 5 (c) 8 (d) 6
  5. 5.If 4x + 2 = x + 32, what is x? (a) 12 (b) 6 (c) 11 (d) 10
  6. 6.If 6x + 18 = 30, what is x? (a) 8 (b) 2 (c) 12 (d) 3
  7. 7.If 3x + 20 = 50, what is x? (a) 10 (b) 11 (c) 9 (d) 30
  8. 8.If x/5 + 12 = 20, what is x? (a) 8 (b) 40 (c) 88 (d) 160
  9. 9.If x/4 + 11 = 17, what is x? (a) 24 (b) 57 (c) 112 (d) 6
  10. 10.If 5x + 18 = 3x + 42, what is x? (a) 3 (b) 12 (c) 30 (d) 13
  11. 11.If x/5 + 12 = 18, what is x? (a) 150 (b) 78 (c) 6 (d) 30
  12. 12.If x/4 + 9 = 17, what is x? (a) 8 (b) 104 (c) 59 (d) 32
  13. 13.If 3x + 16 = 2x + 24, what is x? (a) 9 (b) 8 (c) 40 (d) 10
  14. 14.If 6x + 9 = 5x + 12, what is x? (a) 5 (b) 21 (c) 3 (d) 4
  15. 15.If 2x − 25 = 5, what is x? (a) 15 (b) 16 (c) 30 (d) 14
  16. 16.If 7x + 28 = 98, what is x? (a) 18 (b) 70 (c) 10 (d) 11
  17. 17.If x/6 + 4 = 6, what is x? (a) 2 (b) 60 (c) 32 (d) 12
  18. 18.If 6x − 7 = 53, what is x? (a) 60 (b) 10 (c) 11 (d) 9
  19. 19.If x/4 + 7 = 13, what is x? (a) 80 (b) 24 (c) 6 (d) 45
  20. 20.If 4x + 24 = 72, what is x? (a) 13 (b) 12 (c) 48 (d) 24
  21. 21.If x/5 + 4 = 14, what is x? (a) 50 (b) 90 (c) 10 (d) 66
  22. 22.If 4x + 5 = 3x + 12, what is x? (a) 7 (b) 17 (c) 8 (d) 1
  23. 23.If 2x + 3 = 9, what is x? (a) 2 (b) 6 (c) 4 (d) 3
  24. 24.If 4x + 11 = 19, what is x? (a) 3 (b) 8 (c) 1 (d) 2
  25. 25.If 8x + 30 = 134, what is x? (a) 12 (b) 13 (c) 104 (d) 14
  26. 26.If 4x + 7 = 59, what is x? (a) 52 (b) 13 (c) 12 (d) 14
  27. 27.If 9x + 1 = 6x + 4, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  28. 28.If 6x − 22 = 44, what is x? (a) 11 (b) 12 (c) 66 (d) 10
  29. 29.If 9x − 69 = 48, what is x? (a) 117 (b) 14 (c) 12 (d) 13
  30. 30.If 9x + 15 = 3x + 21, what is x? (a) 1 (b) 3 (c) 6 (d) 2
  31. 31.If 6x + 4 = 5x + 14, what is x? (a) 10 (b) 12 (c) 11 (d) 18
  32. 32.If 9x + 3 = 75, what is x? (a) 8 (b) 72 (c) 9 (d) 7
  33. 33.If 3x − 41 = 4, what is x? (a) 45 (b) 15 (c) 16 (d) 14
  34. 34.If 4x + 1 = 3x + 10, what is x? (a) 10 (b) 11 (c) 9 (d) 8
  35. 35.If x/2 + 3 = 13, what is x? (a) 23 (b) 32 (c) 20 (d) 10
  36. 36.If 2x + 18 = 48, what is x? (a) 30 (b) 33 (c) 16 (d) 15
  37. 37.If 2x − 18 = 10, what is x? (a) 13 (b) 14 (c) 15 (d) 28
  38. 38.If 4x + 20 = 2x + 26, what is x? (a) 3 (b) 4 (c) 1 (d) 23
  39. 39.If 9x − 5 = 31, what is x? (a) 5 (b) 4 (c) 3 (d) 36
  40. 40.If x/5 + 13 = 25, what is x? (a) 60 (b) 12 (c) 190 (d) 112

Answer key

  1. 72
  2. 15
  3. 3
  4. 6
  5. 10
  6. 2
  7. 10
  8. 40
  9. 24
  10. 12
  11. 30
  12. 32
  13. 8
  14. 3
  15. 15
  16. 10
  17. 12
  18. 10
  19. 24
  20. 12
  21. 50
  22. 7
  23. 3
  24. 2
  25. 13
  26. 13
  27. 1
  28. 11
  29. 13
  30. 1
  31. 10
  32. 8
  33. 15
  34. 9
  35. 20
  36. 15
  37. 14
  38. 3
  39. 4
  40. 60

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