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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 871 · 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 + 4 = 2x + 7, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  2. 2.If x/6 + 3 = 7, what is x? (a) 60 (b) 39 (c) 4 (d) 24
  3. 3.If 7x + 4 = 2x + 39, what is x? (a) 8 (b) 7 (c) 9 (d) 6
  4. 4.If 7x − 37 = 12, what is x? (a) 49 (b) 8 (c) 6 (d) 7
  5. 5.If x/5 + 5 = 14, what is x? (a) 95 (b) 9 (c) 65 (d) 45
  6. 6.If 7x + 16 = 2x + 21, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  7. 7.If 8x + 25 = 57, what is x? (a) 5 (b) 32 (c) 3 (d) 4
  8. 8.If x/3 + 5 = 9, what is x? (a) 12 (b) 4 (c) 42 (d) 22
  9. 9.If 5x + 19 = x + 23, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  10. 10.If 4x + 7 = 27, what is x? (a) 6 (b) 4 (c) 5 (d) 20
  11. 11.If 3x + 13 = x + 33, what is x? (a) 5 (b) 23 (c) 10 (d) 11
  12. 12.If 5x + 19 = 29, what is x? (a) 10 (b) 1 (c) 2 (d) 3
  13. 13.If 3x − 7 = 11, what is x? (a) 5 (b) 18 (c) 7 (d) 6
  14. 14.If 6x + 11 = 47, what is x? (a) 5 (b) 36 (c) 7 (d) 6
  15. 15.If 6x + 16 = 2x + 60, what is x? (a) 19 (b) 13 (c) 11 (d) 12
  16. 16.If 9x + 9 = 54, what is x? (a) 45 (b) 5 (c) 6 (d) 7
  17. 17.If x/5 + 9 = 14, what is x? (a) 5 (b) 25 (c) 61 (d) 115
  18. 18.If 7x + 4 = 5x + 24, what is x? (a) 12 (b) 11 (c) 10 (d) 14
  19. 19.If 8x + 13 = 61, what is x? (a) 48 (b) 5 (c) 6 (d) 7
  20. 20.If x/4 + 3 = 14, what is x? (a) 53 (b) 11 (c) 44 (d) 68
  21. 21.If 5x − 3 = 22, what is x? (a) 6 (b) 25 (c) 5 (d) 4
  22. 22.If x/5 + 14 = 24, what is x? (a) 50 (b) 106 (c) 10 (d) 190
  23. 23.If 6x + 4 = x + 59, what is x? (a) 12 (b) 13 (c) 11 (d) 10
  24. 24.If 6x − 3 = 69, what is x? (a) 13 (b) 11 (c) 72 (d) 12
  25. 25.If x/2 + 1 = 13, what is x? (a) 25 (b) 24 (c) 28 (d) 12
  26. 26.If x/3 + 11 = 22, what is x? (a) 99 (b) 55 (c) 33 (d) 11
  27. 27.If 5x + 7 = 57, what is x? (a) 50 (b) 10 (c) 9 (d) 11
  28. 28.If 7x + 30 = 93, what is x? (a) 10 (b) 63 (c) 9 (d) 8
  29. 29.If 7x + 21 = 70, what is x? (a) 8 (b) 49 (c) 13 (d) 7
  30. 30.If 8x + 28 = 148, what is x? (a) 22 (b) 16 (c) 120 (d) 15
  31. 31.If 6x − 17 = 7, what is x? (a) 5 (b) 4 (c) 3 (d) 24
  32. 32.If x/6 + 12 = 18, what is x? (a) 36 (b) 6 (c) 180 (d) 96
  33. 33.If 2x − 10 = 12, what is x? (a) 11 (b) 22 (c) 1 (d) 12
  34. 34.If 9x + 24 = 60, what is x? (a) 3 (b) 4 (c) 36 (d) 5
  35. 35.If 8x + 5 = 21, what is x? (a) 3 (b) 2 (c) 1 (d) 16
  36. 36.If x/3 + 12 = 22, what is x? (a) 54 (b) 102 (c) 30 (d) 10
  37. 37.If 2x + 28 = 42, what is x? (a) 35 (b) 14 (c) 7 (d) 8
  38. 38.If x/2 + 4 = 10, what is x? (a) 6 (b) 12 (c) 28 (d) 16
  39. 39.If 8x + 30 = 86, what is x? (a) 6 (b) 56 (c) 7 (d) 8
  40. 40.If 9x − 8 = 37, what is x? (a) 4 (b) 6 (c) 5 (d) 45

Answer key

  1. 1
  2. 24
  3. 7
  4. 7
  5. 45
  6. 1
  7. 4
  8. 12
  9. 1
  10. 5
  11. 10
  12. 2
  13. 6
  14. 6
  15. 11
  16. 5
  17. 25
  18. 10
  19. 6
  20. 44
  21. 5
  22. 50
  23. 11
  24. 12
  25. 24
  26. 33
  27. 10
  28. 9
  29. 7
  30. 15
  31. 4
  32. 36
  33. 11
  34. 4
  35. 2
  36. 30
  37. 7
  38. 12
  39. 7
  40. 5

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