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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 437 · 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 6x − 15 = 15, what is x? (a) 30 (b) 5 (c) 4 (d) 6
  2. 2.If 6x + 16 = 4x + 18, what is x? (a) 17 (b) 3 (c) 1 (d) 2
  3. 3.If 8x − 96 = 24, what is x? (a) 120 (b) 14 (c) 15 (d) 16
  4. 4.If 4x + 20 = 2x + 44, what is x? (a) 12 (b) 4 (c) 32 (d) 13
  5. 5.If 4x + 3 = x + 12, what is x? (a) 4 (b) 5 (c) 2 (d) 3
  6. 6.If 4x + 24 = 40, what is x? (a) 4 (b) 5 (c) 16 (d) 3
  7. 7.If 5x + 2 = 72, what is x? (a) 70 (b) 15 (c) 14 (d) 13
  8. 8.If 3x + 27 = 72, what is x? (a) 45 (b) 15 (c) 16 (d) 33
  9. 9.If x/2 + 10 = 20, what is x? (a) 20 (b) 30 (c) 10 (d) 60
  10. 10.If 6x + 16 = 2x + 36, what is x? (a) 7 (b) 6 (c) 5 (d) 13
  11. 11.If 8x − 74 = 6, what is x? (a) 9 (b) 10 (c) 80 (d) 11
  12. 12.If 4x + 8 = 56, what is x? (a) 16 (b) 13 (c) 48 (d) 12
  13. 13.If x/5 + 15 = 19, what is x? (a) 20 (b) 80 (c) 4 (d) 170
  14. 14.If x/2 + 9 = 16, what is x? (a) 7 (b) 23 (c) 14 (d) 50
  15. 15.If 4x + 5 = 2x + 29, what is x? (a) 4 (b) 13 (c) 17 (d) 12
  16. 16.If 5x + 21 = 71, what is x? (a) 10 (b) 50 (c) 11 (d) 9
  17. 17.If 8x − 18 = 102, what is x? (a) 15 (b) 120 (c) 16 (d) 14
  18. 18.If 2x + 14 = 24, what is x? (a) 19 (b) 5 (c) 6 (d) 10
  19. 19.If 3x − 22 = 14, what is x? (a) 13 (b) 36 (c) 11 (d) 12
  20. 20.If x/4 + 2 = 13, what is x? (a) 60 (b) 50 (c) 44 (d) 11
  21. 21.If 2x − 21 = 7, what is x? (a) 13 (b) 15 (c) 14 (d) 28
  22. 22.If 5x + 20 = 4x + 28, what is x? (a) 9 (b) 48 (c) 8 (d) 10
  23. 23.If x/3 + 4 = 11, what is x? (a) 29 (b) 21 (c) 7 (d) 45
  24. 24.If 7x + 13 = 2x + 23, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  25. 25.If 7x + 9 = 6x + 12, what is x? (a) 3 (b) 4 (c) 5 (d) 21
  26. 26.If 8x + 3 = 2x + 63, what is x? (a) 10 (b) 12 (c) 6 (d) 11
  27. 27.If 2x − 2 = 2, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  28. 28.If 7x + 23 = 79, what is x? (a) 56 (b) 9 (c) 8 (d) 7
  29. 29.If x/3 + 1 = 9, what is x? (a) 30 (b) 24 (c) 8 (d) 26
  30. 30.If x/6 + 5 = 11, what is x? (a) 6 (b) 96 (c) 61 (d) 36
  31. 31.If 8x + 1 = 3x + 16, what is x? (a) 4 (b) 3 (c) 5 (d) 2
  32. 32.If 3x − 10 = 5, what is x? (a) 5 (b) 6 (c) 15 (d) 4
  33. 33.If 3x + 18 = 24, what is x? (a) 3 (b) 14 (c) 2 (d) 6
  34. 34.If 9x − 99 = 36, what is x? (a) 135 (b) 15 (c) 14 (d) 16
  35. 35.If 3x + 10 = 2x + 17, what is x? (a) 27 (b) 7 (c) 8 (d) 9
  36. 36.If x/5 + 11 = 23, what is x? (a) 60 (b) 170 (c) 104 (d) 12
  37. 37.If x/5 + 9 = 14, what is x? (a) 5 (b) 115 (c) 25 (d) 61
  38. 38.If 6x + 26 = 68, what is x? (a) 42 (b) 6 (c) 7 (d) 8
  39. 39.If 7x + 15 = x + 39, what is x? (a) 3 (b) 5 (c) 4 (d) 9
  40. 40.If 6x + 6 = 5x + 8, what is x? (a) 4 (b) 3 (c) 2 (d) 14

Answer key

  1. 5
  2. 1
  3. 15
  4. 12
  5. 3
  6. 4
  7. 14
  8. 15
  9. 20
  10. 5
  11. 10
  12. 12
  13. 20
  14. 14
  15. 12
  16. 10
  17. 15
  18. 5
  19. 12
  20. 44
  21. 14
  22. 8
  23. 21
  24. 2
  25. 3
  26. 10
  27. 2
  28. 8
  29. 24
  30. 36
  31. 3
  32. 5
  33. 2
  34. 15
  35. 7
  36. 60
  37. 25
  38. 7
  39. 4
  40. 2

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