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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 148 · 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 + 10 = 16, what is x? (a) 6 (b) 86 (c) 156 (d) 36
  2. 2.If x/2 + 1 = 4, what is x? (a) 3 (b) 10 (c) 6 (d) 7
  3. 3.If 6x + 6 = 42, what is x? (a) 7 (b) 8 (c) 6 (d) 36
  4. 4.If 3x − 15 = 18, what is x? (a) 11 (b) 12 (c) 33 (d) 1
  5. 5.If x/6 + 14 = 22, what is x? (a) 216 (b) 48 (c) 118 (d) 8
  6. 6.If x/5 + 1 = 4, what is x? (a) 25 (b) 19 (c) 3 (d) 15
  7. 7.If 5x + 16 = 66, what is x? (a) 9 (b) 10 (c) 11 (d) 50
  8. 8.If x/6 + 13 = 17, what is x? (a) 89 (b) 180 (c) 4 (d) 24
  9. 9.If x/5 + 4 = 6, what is x? (a) 50 (b) 2 (c) 26 (d) 10
  10. 10.If 8x + 10 = 130, what is x? (a) 120 (b) 16 (c) 14 (d) 15
  11. 11.If 5x + 4 = 3x + 24, what is x? (a) 14 (b) 11 (c) 12 (d) 10
  12. 12.If 7x − 89 = 16, what is x? (a) 16 (b) 15 (c) 14 (d) 105
  13. 13.If x/6 + 4 = 6, what is x? (a) 32 (b) 60 (c) 2 (d) 12
  14. 14.If 7x + 25 = 39, what is x? (a) 1 (b) 14 (c) 2 (d) 3
  15. 15.If 3x + 11 = 2x + 21, what is x? (a) 2 (b) 10 (c) 11 (d) 32
  16. 16.If 5x + 13 = 73, what is x? (a) 60 (b) 13 (c) 12 (d) 11
  17. 17.If 9x + 16 = 7x + 34, what is x? (a) 11 (b) 10 (c) 9 (d) 25
  18. 18.If 3x + 5 = 50, what is x? (a) 16 (b) 15 (c) 14 (d) 45
  19. 19.If 9x + 19 = 6x + 43, what is x? (a) 9 (b) 10 (c) 7 (d) 8
  20. 20.If 7x − 67 = 17, what is x? (a) 13 (b) 84 (c) 11 (d) 12
  21. 21.If 8x − 13 = 51, what is x? (a) 7 (b) 8 (c) 9 (d) 64
  22. 22.If 8x − 23 = 9, what is x? (a) 5 (b) 3 (c) 4 (d) 32
  23. 23.If x/4 + 10 = 19, what is x? (a) 9 (b) 116 (c) 36 (d) 66
  24. 24.If 9x + 14 = 4x + 49, what is x? (a) 6 (b) 9 (c) 8 (d) 7
  25. 25.If 5x + 17 = 2x + 29, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  26. 26.If 8x + 1 = 3x + 21, what is x? (a) 3 (b) 5 (c) 4 (d) 6
  27. 27.If 7x + 26 = 40, what is x? (a) 14 (b) 1 (c) 2 (d) 3
  28. 28.If 8x − 29 = 11, what is x? (a) 40 (b) 4 (c) 5 (d) 6
  29. 29.If 9x + 13 = 5x + 25, what is x? (a) 5 (b) 4 (c) 3 (d) 2
  30. 30.If 2x + 30 = 36, what is x? (a) 33 (b) 6 (c) 3 (d) 4
  31. 31.If 7x − 29 = 13, what is x? (a) 6 (b) 5 (c) 7 (d) 42
  32. 32.If 4x + 24 = 76, what is x? (a) 25 (b) 13 (c) 52 (d) 14
  33. 33.If 4x + 16 = 2x + 24, what is x? (a) 6 (b) 4 (c) 5 (d) 20
  34. 34.If 7x − 10 = 39, what is x? (a) 8 (b) 6 (c) 7 (d) 49
  35. 35.If x/2 + 4 = 11, what is x? (a) 30 (b) 14 (c) 7 (d) 18
  36. 36.If 2x + 27 = 47, what is x? (a) 37 (b) 10 (c) 20 (d) 11
  37. 37.If 8x − 23 = 1, what is x? (a) 2 (b) 4 (c) 3 (d) 24
  38. 38.If 9x + 20 = 4x + 25, what is x? (a) 3 (b) 1 (c) 9 (d) 2
  39. 39.If 5x − 24 = 21, what is x? (a) 45 (b) 9 (c) 8 (d) 10
  40. 40.If 7x + 17 = 5x + 41, what is x? (a) 13 (b) 29 (c) 2 (d) 12

Answer key

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

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