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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 989 · 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 + 10 = 14, what is x? (a) 144 (b) 4 (c) 74 (d) 24
  2. 2.If 4x + 30 = 54, what is x? (a) 7 (b) 21 (c) 24 (d) 6
  3. 3.If 6x + 1 = 19, what is x? (a) 18 (b) 4 (c) 2 (d) 3
  4. 4.If 6x + 7 = 5x + 17, what is x? (a) 11 (b) 12 (c) 10 (d) 24
  5. 5.If 2x − 20 = 6, what is x? (a) 12 (b) 13 (c) 14 (d) 26
  6. 6.If 7x + 14 = x + 62, what is x? (a) 10 (b) 9 (c) 6 (d) 8
  7. 7.If 9x − 10 = 35, what is x? (a) 4 (b) 45 (c) 6 (d) 5
  8. 8.If 2x − 23 = 3, what is x? (a) 26 (b) 12 (c) 13 (d) 14
  9. 9.If 4x + 17 = x + 50, what is x? (a) 11 (b) 13 (c) 10 (d) 12
  10. 10.If 3x − 14 = 10, what is x? (a) 24 (b) 9 (c) 8 (d) 7
  11. 11.If 5x + 15 = 2x + 18, what is x? (a) 3 (b) 11 (c) 2 (d) 1
  12. 12.If 5x + 30 = 65, what is x? (a) 35 (b) 19 (c) 7 (d) 8
  13. 13.If 9x + 3 = 93, what is x? (a) 9 (b) 90 (c) 11 (d) 10
  14. 14.If x/3 + 2 = 6, what is x? (a) 24 (b) 12 (c) 4 (d) 16
  15. 15.If 9x + 16 = 4x + 21, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  16. 16.If 2x + 1 = 5, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  17. 17.If 5x + 7 = x + 39, what is x? (a) 8 (b) 10 (c) 7 (d) 9
  18. 18.If 5x + 19 = x + 43, what is x? (a) 7 (b) 8 (c) 4 (d) 6
  19. 19.If 9x − 14 = 85, what is x? (a) 99 (b) 11 (c) 10 (d) 12
  20. 20.If 9x + 20 = 3x + 56, what is x? (a) 3 (b) 6 (c) 7 (d) 8
  21. 21.If 5x − 11 = 4, what is x? (a) 4 (b) 15 (c) 3 (d) 2
  22. 22.If x/4 + 12 = 14, what is x? (a) 2 (b) 44 (c) 8 (d) 104
  23. 23.If x/4 + 4 = 12, what is x? (a) 8 (b) 44 (c) 32 (d) 64
  24. 24.If x/5 + 12 = 22, what is x? (a) 170 (b) 50 (c) 98 (d) 10
  25. 25.If x/2 + 5 = 8, what is x? (a) 11 (b) 6 (c) 3 (d) 26
  26. 26.If 4x + 29 = 73, what is x? (a) 44 (b) 12 (c) 10 (d) 11
  27. 27.If 7x − 8 = 6, what is x? (a) 2 (b) 3 (c) 14 (d) 1
  28. 28.If 3x + 26 = 44, what is x? (a) 6 (b) 5 (c) 7 (d) 18
  29. 29.If 9x + 16 = 8x + 21, what is x? (a) 5 (b) 6 (c) 7 (d) 37
  30. 30.If 2x + 2 = 30, what is x? (a) 14 (b) 16 (c) 15 (d) 28
  31. 31.If 3x + 8 = 53, what is x? (a) 16 (b) 15 (c) 14 (d) 45
  32. 32.If x/4 + 6 = 15, what is x? (a) 36 (b) 54 (c) 84 (d) 9
  33. 33.If x/6 + 4 = 15, what is x? (a) 11 (b) 86 (c) 66 (d) 114
  34. 34.If x/2 + 6 = 14, what is x? (a) 22 (b) 16 (c) 8 (d) 40
  35. 35.If 6x + 2 = 4x + 16, what is x? (a) 8 (b) 9 (c) 7 (d) 6
  36. 36.If 9x + 24 = 159, what is x? (a) 16 (b) 15 (c) 14 (d) 135
  37. 37.If 5x + 23 = 83, what is x? (a) 11 (b) 12 (c) 60 (d) 13
  38. 38.If 8x + 1 = 121, what is x? (a) 14 (b) 15 (c) 120 (d) 16
  39. 39.If 9x − 53 = 46, what is x? (a) 12 (b) 10 (c) 11 (d) 99
  40. 40.If 7x − 57 = 20, what is x? (a) 12 (b) 10 (c) 11 (d) 77

Answer key

  1. 24
  2. 6
  3. 3
  4. 10
  5. 13
  6. 8
  7. 5
  8. 13
  9. 11
  10. 8
  11. 1
  12. 7
  13. 10
  14. 12
  15. 1
  16. 2
  17. 8
  18. 6
  19. 11
  20. 6
  21. 3
  22. 8
  23. 32
  24. 50
  25. 6
  26. 11
  27. 2
  28. 6
  29. 5
  30. 14
  31. 15
  32. 36
  33. 66
  34. 16
  35. 7
  36. 15
  37. 12
  38. 15
  39. 11
  40. 11

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