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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 538 · 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 + 13 = 18, what is x? (a) 5 (b) 59 (c) 124 (d) 20
  2. 2.If x/2 + 4 = 12, what is x? (a) 32 (b) 8 (c) 20 (d) 16
  3. 3.If 2x + 27 = 51, what is x? (a) 12 (b) 39 (c) 13 (d) 24
  4. 4.If 9x + 3 = 2x + 10, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  5. 5.If 4x − 2 = 6, what is x? (a) 2 (b) 1 (c) 8 (d) 3
  6. 6.If 2x − 6 = 6, what is x? (a) 5 (b) 6 (c) 7 (d) 12
  7. 7.If 2x + 1 = 13, what is x? (a) 12 (b) 5 (c) 7 (d) 6
  8. 8.If 6x − 34 = 26, what is x? (a) 9 (b) 11 (c) 60 (d) 10
  9. 9.If 5x + 17 = 82, what is x? (a) 14 (b) 12 (c) 13 (d) 65
  10. 10.If 8x + 24 = 128, what is x? (a) 104 (b) 14 (c) 13 (d) 19
  11. 11.If 6x + 8 = x + 63, what is x? (a) 11 (b) 13 (c) 12 (d) 10
  12. 12.If x/2 + 6 = 12, what is x? (a) 12 (b) 6 (c) 18 (d) 36
  13. 13.If 6x + 4 = 4x + 14, what is x? (a) 6 (b) 9 (c) 1 (d) 5
  14. 14.If 7x + 3 = 87, what is x? (a) 84 (b) 13 (c) 11 (d) 12
  15. 15.If x/2 + 2 = 12, what is x? (a) 10 (b) 28 (c) 20 (d) 22
  16. 16.If 3x + 16 = 31, what is x? (a) 5 (b) 6 (c) 4 (d) 15
  17. 17.If 6x − 65 = 25, what is x? (a) 16 (b) 14 (c) 15 (d) 90
  18. 18.If 2x + 12 = 38, what is x? (a) 26 (b) 14 (c) 13 (d) 25
  19. 19.If x/4 + 12 = 18, what is x? (a) 60 (b) 6 (c) 24 (d) 120
  20. 20.If 7x + 17 = 87, what is x? (a) 11 (b) 10 (c) 70 (d) 9
  21. 21.If 6x + 12 = 5x + 15, what is x? (a) 4 (b) 3 (c) 27 (d) 5
  22. 22.If 2x − 13 = 3, what is x? (a) 8 (b) 7 (c) 9 (d) 16
  23. 23.If x/2 + 11 = 20, what is x? (a) 9 (b) 62 (c) 29 (d) 18
  24. 24.If x/5 + 11 = 17, what is x? (a) 30 (b) 140 (c) 6 (d) 74
  25. 25.If 3x + 2 = 26, what is x? (a) 8 (b) 24 (c) 9 (d) 7
  26. 26.If 7x + 8 = 5x + 22, what is x? (a) 8 (b) 9 (c) 15 (d) 7
  27. 27.If x/5 + 12 = 20, what is x? (a) 160 (b) 88 (c) 8 (d) 40
  28. 28.If 9x − 24 = 12, what is x? (a) 36 (b) 5 (c) 3 (d) 4
  29. 29.If x/6 + 8 = 13, what is x? (a) 126 (b) 30 (c) 70 (d) 5
  30. 30.If 8x + 24 = 120, what is x? (a) 18 (b) 96 (c) 13 (d) 12
  31. 31.If x/4 + 4 = 13, what is x? (a) 48 (b) 36 (c) 68 (d) 9
  32. 32.If x/6 + 11 = 13, what is x? (a) 12 (b) 2 (c) 144 (d) 67
  33. 33.If 6x + 3 = 3x + 6, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  34. 34.If 3x − 7 = 8, what is x? (a) 4 (b) 5 (c) 6 (d) 15
  35. 35.If 8x − 11 = 109, what is x? (a) 120 (b) 14 (c) 16 (d) 15
  36. 36.If 8x − 3 = 101, what is x? (a) 104 (b) 13 (c) 12 (d) 14
  37. 37.If x/6 + 7 = 18, what is x? (a) 66 (b) 11 (c) 150 (d) 101
  38. 38.If x/4 + 1 = 5, what is x? (a) 4 (b) 19 (c) 16 (d) 24
  39. 39.If 3x + 28 = 58, what is x? (a) 30 (b) 10 (c) 11 (d) 9
  40. 40.If 9x + 22 = 58, what is x? (a) 3 (b) 5 (c) 36 (d) 4

Answer key

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

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