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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 5 · 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 + 14 = 24, what is x? (a) 60 (b) 130 (c) 10 (d) 228
  2. 2.If 7x + 13 = 6x + 16, what is x? (a) 3 (b) 4 (c) 5 (d) 29
  3. 3.If x/4 + 2 = 9, what is x? (a) 7 (b) 34 (c) 44 (d) 28
  4. 4.If 6x + 23 = 95, what is x? (a) 11 (b) 13 (c) 12 (d) 72
  5. 5.If x/3 + 3 = 13, what is x? (a) 36 (b) 48 (c) 10 (d) 30
  6. 6.If 4x − 15 = 9, what is x? (a) 7 (b) 5 (c) 24 (d) 6
  7. 7.If 9x − 49 = 23, what is x? (a) 8 (b) 9 (c) 7 (d) 72
  8. 8.If 8x − 22 = 98, what is x? (a) 120 (b) 14 (c) 15 (d) 16
  9. 9.If 7x + 1 = 3x + 33, what is x? (a) 9 (b) 10 (c) 8 (d) 7
  10. 10.If 8x + 20 = 76, what is x? (a) 56 (b) 7 (c) 12 (d) 8
  11. 11.If 6x − 50 = 22, what is x? (a) 12 (b) 11 (c) 13 (d) 72
  12. 12.If x/4 + 2 = 8, what is x? (a) 24 (b) 6 (c) 30 (d) 40
  13. 13.If 6x + 16 = 5x + 28, what is x? (a) 14 (b) 44 (c) 12 (d) 13
  14. 14.If 3x − 1 = 44, what is x? (a) 45 (b) 14 (c) 15 (d) 16
  15. 15.If 5x + 22 = 32, what is x? (a) 3 (b) 1 (c) 10 (d) 2
  16. 16.If 6x + 10 = 82, what is x? (a) 12 (b) 11 (c) 72 (d) 13
  17. 17.If 6x + 17 = 47, what is x? (a) 30 (b) 6 (c) 4 (d) 5
  18. 18.If 4x + 5 = 33, what is x? (a) 8 (b) 28 (c) 7 (d) 6
  19. 19.If 8x + 17 = 4x + 29, what is x? (a) 3 (b) 4 (c) 5 (d) 1
  20. 20.If 7x + 22 = 57, what is x? (a) 5 (b) 35 (c) 6 (d) 4
  21. 21.If 3x + 6 = x + 12, what is x? (a) 3 (b) 5 (c) 4 (d) 9
  22. 22.If x/2 + 12 = 17, what is x? (a) 58 (b) 10 (c) 5 (d) 22
  23. 23.If x/3 + 4 = 6, what is x? (a) 2 (b) 6 (c) 30 (d) 14
  24. 24.If x/3 + 6 = 15, what is x? (a) 63 (b) 39 (c) 9 (d) 27
  25. 25.If 9x + 3 = 5x + 51, what is x? (a) 13 (b) 14 (c) 12 (d) 11
  26. 26.If 5x + 8 = 4x + 11, what is x? (a) 3 (b) 4 (c) 5 (d) 19
  27. 27.If 3x + 2 = 2x + 5, what is x? (a) 4 (b) 3 (c) 7 (d) 5
  28. 28.If 8x + 11 = 43, what is x? (a) 5 (b) 32 (c) 3 (d) 4
  29. 29.If x/2 + 3 = 6, what is x? (a) 18 (b) 3 (c) 9 (d) 6
  30. 30.If 3x + 7 = x + 17, what is x? (a) 12 (b) 6 (c) 5 (d) 7
  31. 31.If x/6 + 7 = 15, what is x? (a) 132 (b) 8 (c) 83 (d) 48
  32. 32.If 8x + 10 = 5x + 40, what is x? (a) 10 (b) 9 (c) 12 (d) 11
  33. 33.If 9x + 24 = 51, what is x? (a) 27 (b) 4 (c) 2 (d) 3
  34. 34.If 5x − 56 = 14, what is x? (a) 13 (b) 70 (c) 14 (d) 15
  35. 35.If 3x + 20 = x + 26, what is x? (a) 23 (b) 5 (c) 3 (d) 4
  36. 36.If 3x + 1 = 13, what is x? (a) 12 (b) 4 (c) 5 (d) 3
  37. 37.If x/2 + 12 = 22, what is x? (a) 68 (b) 10 (c) 20 (d) 32
  38. 38.If 2x + 30 = 38, what is x? (a) 5 (b) 4 (c) 8 (d) 34
  39. 39.If 3x + 14 = x + 22, what is x? (a) 2 (b) 5 (c) 4 (d) 18
  40. 40.If x/4 + 11 = 15, what is x? (a) 4 (b) 104 (c) 49 (d) 16

Answer key

  1. 60
  2. 3
  3. 28
  4. 12
  5. 30
  6. 6
  7. 8
  8. 15
  9. 8
  10. 7
  11. 12
  12. 24
  13. 12
  14. 15
  15. 2
  16. 12
  17. 5
  18. 7
  19. 3
  20. 5
  21. 3
  22. 10
  23. 6
  24. 27
  25. 12
  26. 3
  27. 3
  28. 4
  29. 6
  30. 5
  31. 48
  32. 10
  33. 3
  34. 14
  35. 3
  36. 4
  37. 20
  38. 4
  39. 4
  40. 16

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