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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 279 · 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 8x − 27 = 5, what is x? (a) 3 (b) 5 (c) 32 (d) 4
  2. 2.If 2x − 4 = 26, what is x? (a) 11 (b) 16 (c) 15 (d) 30
  3. 3.If 6x − 5 = 37, what is x? (a) 8 (b) 42 (c) 7 (d) 6
  4. 4.If 9x + 17 = 35, what is x? (a) 3 (b) 1 (c) 2 (d) 18
  5. 5.If x/5 + 8 = 12, what is x? (a) 4 (b) 52 (c) 100 (d) 20
  6. 6.If x/2 + 2 = 8, what is x? (a) 14 (b) 20 (c) 12 (d) 6
  7. 7.If 4x − 6 = 2, what is x? (a) 1 (b) 3 (c) 8 (d) 2
  8. 8.If 6x + 8 = x + 48, what is x? (a) 7 (b) 10 (c) 8 (d) 9
  9. 9.If x/5 + 5 = 13, what is x? (a) 90 (b) 40 (c) 60 (d) 8
  10. 10.If x/6 + 7 = 13, what is x? (a) 120 (b) 71 (c) 6 (d) 36
  11. 11.If 6x + 18 = 48, what is x? (a) 5 (b) 30 (c) 6 (d) 11
  12. 12.If 9x + 27 = 45, what is x? (a) 8 (b) 18 (c) 3 (d) 2
  13. 13.If 5x − 34 = 6, what is x? (a) 9 (b) 8 (c) 7 (d) 40
  14. 14.If 9x − 16 = 65, what is x? (a) 81 (b) 10 (c) 9 (d) 8
  15. 15.If 2x + 29 = 47, what is x? (a) 9 (b) 10 (c) 38 (d) 18
  16. 16.If 3x + 1 = 13, what is x? (a) 5 (b) 3 (c) 4 (d) 12
  17. 17.If 8x + 15 = 111, what is x? (a) 96 (b) 11 (c) 12 (d) 13
  18. 18.If x/5 + 3 = 8, what is x? (a) 37 (b) 5 (c) 55 (d) 25
  19. 19.If 5x − 1 = 44, what is x? (a) 9 (b) 45 (c) 10 (d) 8
  20. 20.If 6x − 9 = 39, what is x? (a) 8 (b) 9 (c) 5 (d) 48
  21. 21.If 9x + 3 = x + 59, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  22. 22.If 3x + 2 = 11, what is x? (a) 3 (b) 9 (c) 4 (d) 2
  23. 23.If 8x + 3 = 7x + 11, what is x? (a) 9 (b) 14 (c) 8 (d) 10
  24. 24.If 7x − 22 = 55, what is x? (a) 10 (b) 77 (c) 11 (d) 12
  25. 25.If 6x − 26 = 52, what is x? (a) 13 (b) 14 (c) 78 (d) 12
  26. 26.If 9x + 18 = 7x + 38, what is x? (a) 10 (b) 28 (c) 11 (d) 12
  27. 27.If x/3 + 5 = 16, what is x? (a) 43 (b) 33 (c) 63 (d) 11
  28. 28.If x/5 + 3 = 6, what is x? (a) 3 (b) 15 (c) 27 (d) 45
  29. 29.If 9x + 19 = 46, what is x? (a) 3 (b) 2 (c) 4 (d) 27
  30. 30.If 5x + 12 = x + 20, what is x? (a) 2 (b) 8 (c) 3 (d) 4
  31. 31.If 6x − 4 = 20, what is x? (a) 4 (b) 24 (c) 3 (d) 5
  32. 32.If 9x − 6 = 129, what is x? (a) 16 (b) 14 (c) 15 (d) 135
  33. 33.If 7x − 47 = 2, what is x? (a) 6 (b) 7 (c) 49 (d) 8
  34. 34.If 9x − 50 = 22, what is x? (a) 72 (b) 9 (c) 8 (d) 7
  35. 35.If 7x + 15 = 5x + 27, what is x? (a) 1 (b) 7 (c) 21 (d) 6
  36. 36.If 3x + 18 = x + 34, what is x? (a) 8 (b) 26 (c) 9 (d) 4
  37. 37.If x/4 + 14 = 21, what is x? (a) 28 (b) 140 (c) 70 (d) 7
  38. 38.If 8x + 26 = 122, what is x? (a) 13 (b) 11 (c) 12 (d) 96
  39. 39.If 4x + 8 = 48, what is x? (a) 14 (b) 11 (c) 40 (d) 10
  40. 40.If 4x − 23 = 25, what is x? (a) 48 (b) 12 (c) 13 (d) 11

Answer key

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

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