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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 811 · 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 + 18 = 60, what is x? (a) 7 (b) 5 (c) 6 (d) 42
  2. 2.If 8x + 1 = 6x + 23, what is x? (a) 13 (b) 10 (c) 12 (d) 11
  3. 3.If 2x + 6 = 22, what is x? (a) 16 (b) 14 (c) 8 (d) 9
  4. 4.If 4x + 23 = 43, what is x? (a) 5 (b) 20 (c) 4 (d) 6
  5. 5.If 3x + 1 = 19, what is x? (a) 7 (b) 5 (c) 6 (d) 18
  6. 6.If x/4 + 5 = 13, what is x? (a) 47 (b) 72 (c) 32 (d) 8
  7. 7.If 5x − 16 = 29, what is x? (a) 9 (b) 10 (c) 8 (d) 45
  8. 8.If 7x + 1 = 15, what is x? (a) 1 (b) 14 (c) 2 (d) 3
  9. 9.If x/5 + 12 = 20, what is x? (a) 8 (b) 160 (c) 88 (d) 40
  10. 10.If 8x − 6 = 34, what is x? (a) 5 (b) 4 (c) 6 (d) 40
  11. 11.If x/6 + 13 = 20, what is x? (a) 198 (b) 7 (c) 107 (d) 42
  12. 12.If 8x + 26 = 138, what is x? (a) 14 (b) 112 (c) 13 (d) 15
  13. 13.If 9x + 5 = 32, what is x? (a) 2 (b) 4 (c) 3 (d) 27
  14. 14.If 5x + 18 = x + 26, what is x? (a) 3 (b) 4 (c) 11 (d) 2
  15. 15.If 3x + 3 = x + 21, what is x? (a) 9 (b) 12 (c) 11 (d) 10
  16. 16.If 5x + 10 = 4x + 14, what is x? (a) 6 (b) 4 (c) 24 (d) 5
  17. 17.If 4x + 20 = 32, what is x? (a) 4 (b) 12 (c) 3 (d) 13
  18. 18.If x/2 + 11 = 20, what is x? (a) 9 (b) 62 (c) 18 (d) 29
  19. 19.If 4x − 39 = 17, what is x? (a) 15 (b) 56 (c) 14 (d) 13
  20. 20.If 4x − 6 = 14, what is x? (a) 20 (b) 5 (c) 2 (d) 6
  21. 21.If 4x + 23 = 83, what is x? (a) 14 (b) 60 (c) 16 (d) 15
  22. 22.If 8x + 12 = 124, what is x? (a) 112 (b) 15 (c) 14 (d) 17
  23. 23.If x/2 + 10 = 16, what is x? (a) 52 (b) 6 (c) 12 (d) 22
  24. 24.If x/2 + 13 = 18, what is x? (a) 23 (b) 5 (c) 62 (d) 10
  25. 25.If 9x + 28 = 46, what is x? (a) 18 (b) 3 (c) 1 (d) 2
  26. 26.If x/2 + 12 = 24, what is x? (a) 12 (b) 24 (c) 36 (d) 72
  27. 27.If 3x + 29 = 59, what is x? (a) 9 (b) 30 (c) 10 (d) 11
  28. 28.If 7x + 3 = 3x + 47, what is x? (a) 13 (b) 12 (c) 10 (d) 11
  29. 29.If x/4 + 7 = 17, what is x? (a) 40 (b) 10 (c) 61 (d) 96
  30. 30.If x/4 + 4 = 11, what is x? (a) 7 (b) 40 (c) 60 (d) 28
  31. 31.If 9x − 21 = 60, what is x? (a) 9 (b) 10 (c) 8 (d) 81
  32. 32.If 4x + 9 = 57, what is x? (a) 11 (b) 12 (c) 48 (d) 13
  33. 33.If 6x + 24 = 108, what is x? (a) 14 (b) 22 (c) 15 (d) 84
  34. 34.If 5x − 46 = 24, what is x? (a) 14 (b) 13 (c) 15 (d) 70
  35. 35.If x/5 + 3 = 10, what is x? (a) 47 (b) 35 (c) 7 (d) 65
  36. 36.If 2x + 6 = 28, what is x? (a) 22 (b) 12 (c) 17 (d) 11
  37. 37.If 3x + 6 = x + 30, what is x? (a) 18 (b) 12 (c) 13 (d) 6
  38. 38.If 4x + 7 = x + 10, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  39. 39.If 4x + 7 = 27, what is x? (a) 20 (b) 6 (c) 4 (d) 5
  40. 40.If 8x + 2 = 34, what is x? (a) 5 (b) 32 (c) 4 (d) 3

Answer key

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

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