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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 692 · 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/4 + 1 = 13, what is x? (a) 56 (b) 48 (c) 51 (d) 12
  2. 2.If 2x + 5 = 13, what is x? (a) 9 (b) 5 (c) 8 (d) 4
  3. 3.If x/3 + 8 = 20, what is x? (a) 84 (b) 36 (c) 52 (d) 12
  4. 4.If 3x + 20 = 29, what is x? (a) 2 (b) 9 (c) 4 (d) 3
  5. 5.If 2x − 2 = 22, what is x? (a) 10 (b) 12 (c) 13 (d) 24
  6. 6.If 2x − 13 = 1, what is x? (a) 14 (b) 7 (c) 6 (d) 8
  7. 7.If 4x − 41 = 19, what is x? (a) 14 (b) 15 (c) 60 (d) 16
  8. 8.If 6x + 13 = 3x + 43, what is x? (a) 11 (b) 9 (c) 10 (d) 12
  9. 9.If 5x + 23 = 88, what is x? (a) 14 (b) 13 (c) 65 (d) 12
  10. 10.If 5x − 2 = 13, what is x? (a) 3 (b) 4 (c) 2 (d) 15
  11. 11.If 2x + 14 = 28, what is x? (a) 8 (b) 14 (c) 7 (d) 21
  12. 12.If 9x − 75 = 42, what is x? (a) 13 (b) 14 (c) 12 (d) 117
  13. 13.If x/2 + 14 = 19, what is x? (a) 5 (b) 10 (c) 24 (d) 66
  14. 14.If 2x + 20 = 40, what is x? (a) 11 (b) 20 (c) 10 (d) 30
  15. 15.If 9x + 18 = 90, what is x? (a) 72 (b) 12 (c) 8 (d) 9
  16. 16.If 3x + 4 = x + 14, what is x? (a) 5 (b) 7 (c) 9 (d) 6
  17. 17.If 4x + 30 = 66, what is x? (a) 36 (b) 10 (c) 24 (d) 9
  18. 18.If 8x + 11 = 3x + 26, what is x? (a) 4 (b) 2 (c) 3 (d) 5
  19. 19.If 4x + 9 = 41, what is x? (a) 9 (b) 8 (c) 7 (d) 32
  20. 20.If 6x + 2 = 32, what is x? (a) 4 (b) 6 (c) 30 (d) 5
  21. 21.If x/4 + 4 = 9, what is x? (a) 32 (b) 20 (c) 52 (d) 5
  22. 22.If 7x + 1 = 2x + 36, what is x? (a) 9 (b) 8 (c) 7 (d) 6
  23. 23.If 3x − 4 = 2, what is x? (a) 2 (b) 6 (c) 1 (d) 3
  24. 24.If x/5 + 10 = 15, what is x? (a) 5 (b) 125 (c) 25 (d) 65
  25. 25.If x/6 + 15 = 26, what is x? (a) 11 (b) 141 (c) 246 (d) 66
  26. 26.If 5x + 7 = 37, what is x? (a) 6 (b) 7 (c) 5 (d) 30
  27. 27.If 7x + 3 = 5x + 11, what is x? (a) 5 (b) 7 (c) 4 (d) 6
  28. 28.If x/6 + 12 = 24, what is x? (a) 72 (b) 216 (c) 12 (d) 132
  29. 29.If x/2 + 11 = 23, what is x? (a) 68 (b) 12 (c) 35 (d) 24
  30. 30.If 7x + 11 = 4x + 14, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  31. 31.If 5x − 11 = 44, what is x? (a) 10 (b) 11 (c) 55 (d) 12
  32. 32.If x/3 + 14 = 22, what is x? (a) 52 (b) 108 (c) 8 (d) 24
  33. 33.If 7x + 14 = 112, what is x? (a) 15 (b) 98 (c) 14 (d) 18
  34. 34.If 3x + 19 = x + 21, what is x? (a) 2 (b) 1 (c) 20 (d) 3
  35. 35.If 4x + 21 = 37, what is x? (a) 4 (b) 5 (c) 16 (d) 3
  36. 36.If 8x + 12 = 44, what is x? (a) 7 (b) 5 (c) 4 (d) 32
  37. 37.If 6x + 27 = 39, what is x? (a) 3 (b) 11 (c) 2 (d) 12
  38. 38.If 3x + 27 = 45, what is x? (a) 7 (b) 24 (c) 6 (d) 18
  39. 39.If 3x + 4 = 34, what is x? (a) 9 (b) 11 (c) 30 (d) 10
  40. 40.If 8x + 13 = 37, what is x? (a) 2 (b) 4 (c) 24 (d) 3

Answer key

  1. 48
  2. 4
  3. 36
  4. 3
  5. 12
  6. 7
  7. 15
  8. 10
  9. 13
  10. 3
  11. 7
  12. 13
  13. 10
  14. 10
  15. 8
  16. 5
  17. 9
  18. 3
  19. 8
  20. 5
  21. 20
  22. 7
  23. 2
  24. 25
  25. 66
  26. 6
  27. 4
  28. 72
  29. 24
  30. 1
  31. 11
  32. 24
  33. 14
  34. 1
  35. 4
  36. 4
  37. 2
  38. 6
  39. 10
  40. 3

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