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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 546 · 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 7x + 28 = 56, what is x? (a) 28 (b) 5 (c) 12 (d) 4
  2. 2.If x/2 + 2 = 10, what is x? (a) 8 (b) 24 (c) 16 (d) 18
  3. 3.If 3x + 13 = x + 27, what is x? (a) 7 (b) 20 (c) 9 (d) 8
  4. 4.If 3x + 12 = 24, what is x? (a) 4 (b) 3 (c) 5 (d) 12
  5. 5.If 8x + 1 = 7x + 2, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  6. 6.If 7x + 10 = 87, what is x? (a) 11 (b) 10 (c) 12 (d) 77
  7. 7.If 2x + 18 = 32, what is x? (a) 7 (b) 14 (c) 8 (d) 25
  8. 8.If 6x + 6 = 90, what is x? (a) 16 (b) 14 (c) 84 (d) 15
  9. 9.If 9x − 32 = 58, what is x? (a) 11 (b) 90 (c) 9 (d) 10
  10. 10.If 9x + 6 = 42, what is x? (a) 4 (b) 36 (c) 5 (d) 3
  11. 11.If 2x − 6 = 4, what is x? (a) 4 (b) 6 (c) 10 (d) 5
  12. 12.If 6x + 4 = 4x + 12, what is x? (a) 8 (b) 5 (c) 6 (d) 4
  13. 13.If 7x + 15 = 6x + 26, what is x? (a) 12 (b) 11 (c) 13 (d) 41
  14. 14.If 8x − 93 = 19, what is x? (a) 112 (b) 14 (c) 15 (d) 13
  15. 15.If 2x + 22 = 46, what is x? (a) 34 (b) 24 (c) 13 (d) 12
  16. 16.If x/4 + 6 = 13, what is x? (a) 7 (b) 28 (c) 76 (d) 46
  17. 17.If x/6 + 10 = 15, what is x? (a) 5 (b) 80 (c) 30 (d) 150
  18. 18.If 9x + 3 = 5x + 11, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  19. 19.If x/2 + 12 = 17, what is x? (a) 10 (b) 22 (c) 58 (d) 5
  20. 20.If 4x + 6 = 3x + 7, what is x? (a) 2 (b) 1 (c) 3 (d) 13
  21. 21.If 3x + 3 = x + 7, what is x? (a) 5 (b) 1 (c) 3 (d) 2
  22. 22.If 3x + 14 = 56, what is x? (a) 13 (b) 14 (c) 42 (d) 15
  23. 23.If 7x + 30 = 72, what is x? (a) 42 (b) 5 (c) 6 (d) 7
  24. 24.If x/3 + 3 = 11, what is x? (a) 24 (b) 42 (c) 8 (d) 30
  25. 25.If 8x + 2 = x + 65, what is x? (a) 10 (b) 9 (c) 11 (d) 7
  26. 26.If 7x − 18 = 10, what is x? (a) 28 (b) 4 (c) 5 (d) 3
  27. 27.If x/6 + 2 = 10, what is x? (a) 58 (b) 72 (c) 48 (d) 8
  28. 28.If 4x − 12 = 4, what is x? (a) 4 (b) 3 (c) 5 (d) 16
  29. 29.If 3x + 9 = x + 19, what is x? (a) 7 (b) 5 (c) 6 (d) 14
  30. 30.If 8x − 16 = 48, what is x? (a) 64 (b) 9 (c) 8 (d) 4
  31. 31.If x/6 + 1 = 8, what is x? (a) 42 (b) 7 (c) 47 (d) 54
  32. 32.If 9x + 20 = 74, what is x? (a) 5 (b) 7 (c) 6 (d) 54
  33. 33.If 4x + 24 = 68, what is x? (a) 23 (b) 12 (c) 44 (d) 11
  34. 34.If 3x + 5 = 2x + 9, what is x? (a) 5 (b) 4 (c) 14 (d) 6
  35. 35.If 9x − 18 = 45, what is x? (a) 63 (b) 7 (c) 3 (d) 8
  36. 36.If 5x − 10 = 15, what is x? (a) 1 (b) 5 (c) 6 (d) 25
  37. 37.If 2x + 23 = 39, what is x? (a) 8 (b) 31 (c) 16 (d) 9
  38. 38.If 5x + 1 = 3x + 7, what is x? (a) 4 (b) 3 (c) 5 (d) 2
  39. 39.If x/2 + 5 = 7, what is x? (a) 24 (b) 2 (c) 9 (d) 4
  40. 40.If x/2 + 11 = 14, what is x? (a) 50 (b) 3 (c) 6 (d) 17

Answer key

  1. 4
  2. 16
  3. 7
  4. 4
  5. 1
  6. 11
  7. 7
  8. 14
  9. 10
  10. 4
  11. 5
  12. 4
  13. 11
  14. 14
  15. 12
  16. 28
  17. 30
  18. 2
  19. 10
  20. 1
  21. 2
  22. 14
  23. 6
  24. 24
  25. 9
  26. 4
  27. 48
  28. 4
  29. 5
  30. 8
  31. 42
  32. 6
  33. 11
  34. 4
  35. 7
  36. 5
  37. 8
  38. 3
  39. 4
  40. 6

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