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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 249 · 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 5x + 2 = x + 22, what is x? (a) 6 (b) 5 (c) 7 (d) 4
  2. 2.If 4x − 22 = 22, what is x? (a) 44 (b) 11 (c) 12 (d) 10
  3. 3.If x/6 + 11 = 17, what is x? (a) 6 (b) 168 (c) 91 (d) 36
  4. 4.If x/2 + 14 = 23, what is x? (a) 32 (b) 9 (c) 74 (d) 18
  5. 5.If 7x + 22 = 113, what is x? (a) 13 (b) 91 (c) 14 (d) 12
  6. 6.If 2x − 2 = 2, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  7. 7.If 9x + 1 = 3x + 13, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  8. 8.If 5x + 8 = 3x + 22, what is x? (a) 8 (b) 15 (c) 9 (d) 7
  9. 9.If 4x + 12 = x + 27, what is x? (a) 13 (b) 6 (c) 3 (d) 5
  10. 10.If 3x + 11 = 2x + 13, what is x? (a) 3 (b) 24 (c) 2 (d) 4
  11. 11.If 8x − 84 = 20, what is x? (a) 104 (b) 14 (c) 12 (d) 13
  12. 12.If 9x + 1 = 6x + 4, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  13. 13.If 2x + 5 = 21, what is x? (a) 8 (b) 13 (c) 16 (d) 9
  14. 14.If 3x − 20 = 4, what is x? (a) 9 (b) 24 (c) 7 (d) 8
  15. 15.If 4x + 10 = x + 40, what is x? (a) 10 (b) 6 (c) 11 (d) 12
  16. 16.If x/5 + 5 = 10, what is x? (a) 45 (b) 75 (c) 5 (d) 25
  17. 17.If 5x − 52 = 3, what is x? (a) 11 (b) 12 (c) 55 (d) 10
  18. 18.If 8x + 30 = 150, what is x? (a) 14 (b) 120 (c) 15 (d) 16
  19. 19.If x/4 + 1 = 7, what is x? (a) 32 (b) 24 (c) 6 (d) 27
  20. 20.If 8x + 9 = 41, what is x? (a) 5 (b) 32 (c) 3 (d) 4
  21. 21.If 6x − 71 = 13, what is x? (a) 84 (b) 13 (c) 15 (d) 14
  22. 22.If 5x + 17 = 27, what is x? (a) 2 (b) 3 (c) 10 (d) 1
  23. 23.If 2x − 15 = 7, what is x? (a) 12 (b) 10 (c) 11 (d) 22
  24. 24.If 4x − 12 = 24, what is x? (a) 36 (b) 10 (c) 3 (d) 9
  25. 25.If 2x + 30 = 56, what is x? (a) 26 (b) 43 (c) 14 (d) 13
  26. 26.If x/4 + 7 = 11, what is x? (a) 4 (b) 37 (c) 16 (d) 72
  27. 27.If x/4 + 11 = 18, what is x? (a) 28 (b) 116 (c) 7 (d) 61
  28. 28.If x/4 + 2 = 14, what is x? (a) 12 (b) 64 (c) 54 (d) 48
  29. 29.If 6x + 7 = 19, what is x? (a) 12 (b) 1 (c) 2 (d) 3
  30. 30.If x/4 + 10 = 14, what is x? (a) 4 (b) 96 (c) 16 (d) 46
  31. 31.If 4x + 19 = 3x + 31, what is x? (a) 14 (b) 13 (c) 12 (d) 50
  32. 32.If 7x + 18 = 3x + 30, what is x? (a) 4 (b) 5 (c) 12 (d) 3
  33. 33.If x/3 + 1 = 5, what is x? (a) 14 (b) 12 (c) 18 (d) 4
  34. 34.If 5x − 5 = 20, what is x? (a) 25 (b) 6 (c) 3 (d) 5
  35. 35.If 9x + 2 = 7x + 12, what is x? (a) 4 (b) 5 (c) 7 (d) 6
  36. 36.If x/4 + 4 = 13, what is x? (a) 48 (b) 68 (c) 9 (d) 36
  37. 37.If 3x − 19 = 23, what is x? (a) 42 (b) 13 (c) 14 (d) 15
  38. 38.If x/3 + 11 = 15, what is x? (a) 12 (b) 34 (c) 78 (d) 4
  39. 39.If x/4 + 10 = 12, what is x? (a) 2 (b) 88 (c) 8 (d) 38
  40. 40.If 8x + 29 = 117, what is x? (a) 10 (b) 11 (c) 12 (d) 88

Answer key

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

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