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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 672 · 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 2x + 3 = 19, what is x? (a) 16 (b) 9 (c) 8 (d) 11
  2. 2.If 5x − 2 = 48, what is x? (a) 9 (b) 50 (c) 11 (d) 10
  3. 3.If x/2 + 3 = 14, what is x? (a) 25 (b) 22 (c) 11 (d) 34
  4. 4.If x/4 + 13 = 19, what is x? (a) 128 (b) 6 (c) 24 (d) 63
  5. 5.If x/5 + 4 = 7, what is x? (a) 31 (b) 3 (c) 55 (d) 15
  6. 6.If 6x − 71 = 7, what is x? (a) 14 (b) 13 (c) 78 (d) 12
  7. 7.If 4x + 7 = 39, what is x? (a) 32 (b) 9 (c) 8 (d) 7
  8. 8.If 9x + 21 = 147, what is x? (a) 13 (b) 15 (c) 126 (d) 14
  9. 9.If 8x + 1 = 57, what is x? (a) 56 (b) 6 (c) 8 (d) 7
  10. 10.If 3x + 19 = 2x + 30, what is x? (a) 12 (b) 13 (c) 11 (d) 49
  11. 11.If 2x + 4 = 24, what is x? (a) 20 (b) 11 (c) 14 (d) 10
  12. 12.If 6x + 1 = 85, what is x? (a) 84 (b) 15 (c) 13 (d) 14
  13. 13.If 2x + 17 = 29, what is x? (a) 23 (b) 12 (c) 6 (d) 7
  14. 14.If 3x + 10 = 19, what is x? (a) 3 (b) 4 (c) 2 (d) 9
  15. 15.If 5x − 3 = 22, what is x? (a) 4 (b) 5 (c) 25 (d) 6
  16. 16.If 7x − 32 = 3, what is x? (a) 35 (b) 4 (c) 5 (d) 6
  17. 17.If 8x − 65 = 55, what is x? (a) 120 (b) 16 (c) 14 (d) 15
  18. 18.If x/4 + 10 = 16, what is x? (a) 54 (b) 24 (c) 104 (d) 6
  19. 19.If 9x − 19 = 35, what is x? (a) 54 (b) 5 (c) 6 (d) 7
  20. 20.If 6x + 12 = 90, what is x? (a) 14 (b) 17 (c) 78 (d) 13
  21. 21.If 8x − 14 = 98, what is x? (a) 112 (b) 14 (c) 15 (d) 13
  22. 22.If 7x − 33 = 16, what is x? (a) 6 (b) 49 (c) 8 (d) 7
  23. 23.If 8x + 20 = 2x + 56, what is x? (a) 6 (b) 8 (c) 7 (d) 5
  24. 24.If 6x − 3 = 27, what is x? (a) 6 (b) 4 (c) 5 (d) 30
  25. 25.If 3x − 13 = 5, what is x? (a) 6 (b) 18 (c) 5 (d) 7
  26. 26.If 2x − 9 = 3, what is x? (a) 6 (b) 5 (c) 7 (d) 12
  27. 27.If x/6 + 11 = 16, what is x? (a) 30 (b) 5 (c) 85 (d) 162
  28. 28.If x/4 + 2 = 7, what is x? (a) 36 (b) 20 (c) 5 (d) 26
  29. 29.If x/4 + 6 = 18, what is x? (a) 12 (b) 96 (c) 48 (d) 66
  30. 30.If 2x + 13 = 17, what is x? (a) 2 (b) 4 (c) 3 (d) 15
  31. 31.If x/4 + 5 = 11, what is x? (a) 64 (b) 39 (c) 6 (d) 24
  32. 32.If 8x − 52 = 60, what is x? (a) 112 (b) 15 (c) 1 (d) 14
  33. 33.If 6x − 7 = 5, what is x? (a) 1 (b) 3 (c) 2 (d) 12
  34. 34.If 9x − 28 = 8, what is x? (a) 3 (b) 4 (c) 36 (d) 5
  35. 35.If 3x + 8 = x + 16, what is x? (a) 12 (b) 2 (c) 4 (d) 5
  36. 36.If x/4 + 10 = 17, what is x? (a) 58 (b) 7 (c) 28 (d) 108
  37. 37.If 8x + 10 = 122, what is x? (a) 112 (b) 15 (c) 13 (d) 14
  38. 38.If 9x − 3 = 33, what is x? (a) 36 (b) 5 (c) 3 (d) 4
  39. 39.If 7x + 3 = 80, what is x? (a) 11 (b) 12 (c) 10 (d) 77
  40. 40.If 8x + 6 = x + 62, what is x? (a) 8 (b) 9 (c) 10 (d) 7

Answer key

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

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