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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 319 · 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/2 + 6 = 15, what is x? (a) 18 (b) 9 (c) 42 (d) 24
  2. 2.If 8x + 4 = 116, what is x? (a) 15 (b) 14 (c) 112 (d) 13
  3. 3.If 2x − 2 = 2, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  4. 4.If 5x − 66 = 9, what is x? (a) 14 (b) 16 (c) 75 (d) 15
  5. 5.If 7x + 26 = 124, what is x? (a) 14 (b) 98 (c) 13 (d) 15
  6. 6.If 9x − 32 = 94, what is x? (a) 126 (b) 14 (c) 15 (d) 13
  7. 7.If 3x − 1 = 8, what is x? (a) 2 (b) 3 (c) 4 (d) 9
  8. 8.If 5x + 10 = 75, what is x? (a) 14 (b) 65 (c) 17 (d) 13
  9. 9.If 2x − 2 = 8, what is x? (a) 5 (b) 6 (c) 10 (d) 3
  10. 10.If 4x + 15 = 43, what is x? (a) 7 (b) 28 (c) 6 (d) 8
  11. 11.If 6x + 4 = 2x + 44, what is x? (a) 11 (b) 12 (c) 5 (d) 10
  12. 12.If 3x + 4 = 40, what is x? (a) 11 (b) 13 (c) 12 (d) 36
  13. 13.If 9x + 11 = 7x + 29, what is x? (a) 9 (b) 10 (c) 20 (d) 11
  14. 14.If 7x + 4 = 6x + 5, what is x? (a) 1 (b) 9 (c) 2 (d) 3
  15. 15.If x/2 + 9 = 20, what is x? (a) 11 (b) 58 (c) 31 (d) 22
  16. 16.If x/5 + 1 = 10, what is x? (a) 55 (b) 9 (c) 49 (d) 45
  17. 17.If x/4 + 1 = 9, what is x? (a) 40 (b) 32 (c) 8 (d) 35
  18. 18.If 7x + 13 = 111, what is x? (a) 15 (b) 98 (c) 14 (d) 13
  19. 19.If 6x + 5 = 2x + 37, what is x? (a) 4 (b) 9 (c) 10 (d) 8
  20. 20.If 5x + 14 = 2x + 20, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  21. 21.If 2x + 2 = 8, what is x? (a) 6 (b) 4 (c) 3 (d) 5
  22. 22.If 8x + 10 = 66, what is x? (a) 6 (b) 56 (c) 8 (d) 7
  23. 23.If 3x + 6 = x + 8, what is x? (a) 7 (b) 1 (c) 3 (d) 2
  24. 24.If x/2 + 6 = 14, what is x? (a) 22 (b) 8 (c) 16 (d) 40
  25. 25.If 8x − 106 = 14, what is x? (a) 14 (b) 16 (c) 120 (d) 15
  26. 26.If 5x − 34 = 1, what is x? (a) 7 (b) 6 (c) 35 (d) 8
  27. 27.If 2x − 4 = 16, what is x? (a) 6 (b) 20 (c) 10 (d) 11
  28. 28.If x/3 + 4 = 7, what is x? (a) 33 (b) 17 (c) 9 (d) 3
  29. 29.If 4x + 30 = 82, what is x? (a) 52 (b) 13 (c) 14 (d) 28
  30. 30.If 7x − 3 = 53, what is x? (a) 7 (b) 56 (c) 8 (d) 9
  31. 31.If x/5 + 14 = 18, what is x? (a) 160 (b) 20 (c) 76 (d) 4
  32. 32.If 8x − 5 = 115, what is x? (a) 14 (b) 16 (c) 120 (d) 15
  33. 33.If 7x + 21 = 63, what is x? (a) 6 (b) 7 (c) 12 (d) 42
  34. 34.If 3x + 10 = 31, what is x? (a) 6 (b) 21 (c) 8 (d) 7
  35. 35.If x/2 + 12 = 16, what is x? (a) 20 (b) 4 (c) 8 (d) 56
  36. 36.If 8x + 23 = 63, what is x? (a) 5 (b) 6 (c) 40 (d) 4
  37. 37.If 9x + 9 = 144, what is x? (a) 16 (b) 17 (c) 135 (d) 15
  38. 38.If 7x + 7 = 70, what is x? (a) 63 (b) 11 (c) 10 (d) 9
  39. 39.If 3x + 14 = 2x + 22, what is x? (a) 36 (b) 9 (c) 8 (d) 10
  40. 40.If 3x + 20 = x + 28, what is x? (a) 24 (b) 4 (c) 5 (d) 2

Answer key

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

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