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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 931 · 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 4x − 2 = 6, what is x? (a) 8 (b) 2 (c) 1 (d) 3
  2. 2.If x/6 + 11 = 23, what is x? (a) 127 (b) 72 (c) 204 (d) 12
  3. 3.If 2x − 8 = 16, what is x? (a) 13 (b) 4 (c) 24 (d) 12
  4. 4.If 9x + 13 = 3x + 73, what is x? (a) 5 (b) 10 (c) 11 (d) 12
  5. 5.If 5x − 16 = 14, what is x? (a) 7 (b) 5 (c) 30 (d) 6
  6. 6.If 6x + 8 = 5x + 9, what is x? (a) 17 (b) 2 (c) 1 (d) 3
  7. 7.If x/3 + 10 = 22, what is x? (a) 96 (b) 56 (c) 12 (d) 36
  8. 8.If 3x − 1 = 14, what is x? (a) 4 (b) 5 (c) 6 (d) 15
  9. 9.If 3x + 18 = x + 24, what is x? (a) 4 (b) 5 (c) 21 (d) 3
  10. 10.If 6x + 17 = 95, what is x? (a) 13 (b) 78 (c) 14 (d) 12
  11. 11.If 2x + 30 = 38, what is x? (a) 34 (b) 5 (c) 4 (d) 8
  12. 12.If 5x + 1 = 31, what is x? (a) 6 (b) 5 (c) 30 (d) 7
  13. 13.If x/3 + 15 = 24, what is x? (a) 117 (b) 27 (c) 57 (d) 9
  14. 14.If x/2 + 1 = 7, what is x? (a) 13 (b) 12 (c) 16 (d) 6
  15. 15.If 8x + 26 = 50, what is x? (a) 3 (b) 4 (c) 24 (d) 2
  16. 16.If x/6 + 9 = 13, what is x? (a) 24 (b) 132 (c) 69 (d) 4
  17. 17.If 6x + 11 = x + 51, what is x? (a) 8 (b) 9 (c) 7 (d) 10
  18. 18.If 9x + 14 = 68, what is x? (a) 5 (b) 7 (c) 6 (d) 54
  19. 19.If x/5 + 8 = 17, what is x? (a) 9 (b) 77 (c) 125 (d) 45
  20. 20.If x/6 + 4 = 15, what is x? (a) 11 (b) 114 (c) 86 (d) 66
  21. 21.If 5x + 1 = 16, what is x? (a) 2 (b) 4 (c) 3 (d) 15
  22. 22.If 3x + 20 = 2x + 28, what is x? (a) 8 (b) 9 (c) 10 (d) 48
  23. 23.If 7x + 10 = 73, what is x? (a) 63 (b) 9 (c) 8 (d) 10
  24. 24.If 8x + 19 = 35, what is x? (a) 2 (b) 16 (c) 1 (d) 3
  25. 25.If 4x + 2 = 58, what is x? (a) 56 (b) 15 (c) 13 (d) 14
  26. 26.If 2x − 15 = 1, what is x? (a) 8 (b) 9 (c) 16 (d) 7
  27. 27.If 9x + 1 = x + 49, what is x? (a) 6 (b) 7 (c) 8 (d) 5
  28. 28.If 3x + 6 = 39, what is x? (a) 33 (b) 15 (c) 12 (d) 11
  29. 29.If x/5 + 5 = 9, what is x? (a) 70 (b) 20 (c) 40 (d) 4
  30. 30.If 6x + 5 = x + 25, what is x? (a) 3 (b) 4 (c) 5 (d) 6
  31. 31.If x/4 + 1 = 5, what is x? (a) 19 (b) 24 (c) 4 (d) 16
  32. 32.If 5x + 11 = 2x + 23, what is x? (a) 6 (b) 5 (c) 4 (d) 3
  33. 33.If 4x + 25 = 53, what is x? (a) 28 (b) 7 (c) 8 (d) 6
  34. 34.If 4x − 20 = 24, what is x? (a) 12 (b) 44 (c) 1 (d) 11
  35. 35.If 5x + 7 = x + 19, what is x? (a) 5 (b) 3 (c) 4 (d) 2
  36. 36.If 4x − 7 = 21, what is x? (a) 6 (b) 7 (c) 8 (d) 28
  37. 37.If x/4 + 4 = 12, what is x? (a) 32 (b) 8 (c) 44 (d) 64
  38. 38.If 8x + 8 = 72, what is x? (a) 10 (b) 8 (c) 64 (d) 9
  39. 39.If 7x − 5 = 79, what is x? (a) 84 (b) 11 (c) 13 (d) 12
  40. 40.If 3x − 8 = 4, what is x? (a) 5 (b) 3 (c) 4 (d) 12

Answer key

  1. 2
  2. 72
  3. 12
  4. 10
  5. 6
  6. 1
  7. 36
  8. 5
  9. 3
  10. 13
  11. 4
  12. 6
  13. 27
  14. 12
  15. 3
  16. 24
  17. 8
  18. 6
  19. 45
  20. 66
  21. 3
  22. 8
  23. 9
  24. 2
  25. 14
  26. 8
  27. 6
  28. 11
  29. 20
  30. 4
  31. 16
  32. 4
  33. 7
  34. 11
  35. 3
  36. 7
  37. 32
  38. 8
  39. 12
  40. 4

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