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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 118 · 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 − 10 = 2, what is x? (a) 7 (b) 12 (c) 6 (d) 5
  2. 2.If x/4 + 3 = 12, what is x? (a) 9 (b) 36 (c) 60 (d) 45
  3. 3.If x/3 + 3 = 15, what is x? (a) 12 (b) 42 (c) 36 (d) 54
  4. 4.If x/2 + 4 = 7, what is x? (a) 22 (b) 3 (c) 10 (d) 6
  5. 5.If x/2 + 11 = 23, what is x? (a) 12 (b) 24 (c) 35 (d) 68
  6. 6.If 2x − 4 = 12, what is x? (a) 9 (b) 8 (c) 4 (d) 16
  7. 7.If 3x + 10 = x + 26, what is x? (a) 9 (b) 18 (c) 8 (d) 4
  8. 8.If 7x + 7 = 91, what is x? (a) 13 (b) 84 (c) 12 (d) 14
  9. 9.If 5x + 8 = 43, what is x? (a) 7 (b) 6 (c) 35 (d) 8
  10. 10.If 5x + 16 = 3x + 34, what is x? (a) 11 (b) 25 (c) 10 (d) 9
  11. 11.If 3x + 13 = 2x + 22, what is x? (a) 35 (b) 11 (c) 10 (d) 9
  12. 12.If 7x + 17 = 59, what is x? (a) 5 (b) 7 (c) 6 (d) 42
  13. 13.If 3x + 22 = 43, what is x? (a) 21 (b) 6 (c) 8 (d) 7
  14. 14.If 6x − 12 = 36, what is x? (a) 8 (b) 4 (c) 48 (d) 9
  15. 15.If x/4 + 3 = 11, what is x? (a) 32 (b) 41 (c) 8 (d) 56
  16. 16.If x/4 + 9 = 15, what is x? (a) 96 (b) 6 (c) 51 (d) 24
  17. 17.If 6x + 21 = 111, what is x? (a) 16 (b) 15 (c) 22 (d) 90
  18. 18.If x/5 + 3 = 9, what is x? (a) 60 (b) 30 (c) 42 (d) 6
  19. 19.If 6x + 20 = 56, what is x? (a) 5 (b) 36 (c) 6 (d) 7
  20. 20.If 2x + 5 = 19, what is x? (a) 8 (b) 12 (c) 14 (d) 7
  21. 21.If 7x + 9 = 3x + 57, what is x? (a) 14 (b) 13 (c) 12 (d) 11
  22. 22.If 4x + 9 = 37, what is x? (a) 7 (b) 6 (c) 28 (d) 8
  23. 23.If 5x − 18 = 42, what is x? (a) 60 (b) 11 (c) 13 (d) 12
  24. 24.If 3x + 17 = 47, what is x? (a) 9 (b) 30 (c) 11 (d) 10
  25. 25.If x/6 + 9 = 13, what is x? (a) 69 (b) 4 (c) 24 (d) 132
  26. 26.If x/4 + 7 = 11, what is x? (a) 4 (b) 72 (c) 16 (d) 37
  27. 27.If x/3 + 2 = 13, what is x? (a) 45 (b) 37 (c) 11 (d) 33
  28. 28.If 3x + 29 = 59, what is x? (a) 11 (b) 30 (c) 10 (d) 9
  29. 29.If 8x + 3 = 107, what is x? (a) 13 (b) 14 (c) 104 (d) 12
  30. 30.If 9x + 18 = x + 58, what is x? (a) 7 (b) 6 (c) 5 (d) 4
  31. 31.If 4x − 23 = 13, what is x? (a) 10 (b) 9 (c) 8 (d) 36
  32. 32.If 5x + 13 = 2x + 37, what is x? (a) 7 (b) 8 (c) 9 (d) 10
  33. 33.If x/4 + 14 = 25, what is x? (a) 86 (b) 11 (c) 156 (d) 44
  34. 34.If 3x + 19 = 2x + 25, what is x? (a) 6 (b) 44 (c) 8 (d) 7
  35. 35.If x/6 + 7 = 9, what is x? (a) 2 (b) 96 (c) 12 (d) 47
  36. 36.If 2x + 20 = 36, what is x? (a) 16 (b) 28 (c) 9 (d) 8
  37. 37.If 8x − 31 = 17, what is x? (a) 48 (b) 7 (c) 6 (d) 5
  38. 38.If 6x + 8 = 74, what is x? (a) 11 (b) 66 (c) 12 (d) 10
  39. 39.If x/4 + 13 = 17, what is x? (a) 16 (b) 55 (c) 4 (d) 120
  40. 40.If 9x + 2 = 6x + 32, what is x? (a) 2 (b) 10 (c) 11 (d) 12

Answer key

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

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