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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 333 · 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 4x − 20 = 12, what is x? (a) 8 (b) 7 (c) 9 (d) 32
  2. 2.If x/4 + 14 = 17, what is x? (a) 54 (b) 3 (c) 12 (d) 124
  3. 3.If 4x + 5 = 25, what is x? (a) 20 (b) 4 (c) 6 (d) 5
  4. 4.If 5x + 4 = 4x + 14, what is x? (a) 11 (b) 18 (c) 12 (d) 10
  5. 5.If x/6 + 4 = 10, what is x? (a) 56 (b) 6 (c) 84 (d) 36
  6. 6.If 6x + 11 = 83, what is x? (a) 11 (b) 72 (c) 12 (d) 13
  7. 7.If 4x − 37 = 11, what is x? (a) 11 (b) 48 (c) 12 (d) 13
  8. 8.If 8x + 15 = x + 57, what is x? (a) 7 (b) 5 (c) 6 (d) 8
  9. 9.If x/4 + 4 = 6, what is x? (a) 2 (b) 40 (c) 8 (d) 20
  10. 10.If x/4 + 2 = 4, what is x? (a) 2 (b) 24 (c) 14 (d) 8
  11. 11.If 3x − 7 = 8, what is x? (a) 5 (b) 4 (c) 6 (d) 15
  12. 12.If 7x − 27 = 8, what is x? (a) 5 (b) 4 (c) 6 (d) 35
  13. 13.If x/4 + 11 = 22, what is x? (a) 132 (b) 44 (c) 11 (d) 77
  14. 14.If 8x − 42 = 14, what is x? (a) 7 (b) 6 (c) 8 (d) 56
  15. 15.If x/2 + 11 = 14, what is x? (a) 17 (b) 50 (c) 3 (d) 6
  16. 16.If 2x + 18 = 26, what is x? (a) 4 (b) 5 (c) 8 (d) 22
  17. 17.If x/3 + 4 = 13, what is x? (a) 35 (b) 27 (c) 51 (d) 9
  18. 18.If 9x − 60 = 75, what is x? (a) 135 (b) 16 (c) 14 (d) 15
  19. 19.If 8x + 7 = 63, what is x? (a) 8 (b) 56 (c) 7 (d) 6
  20. 20.If 3x + 28 = 49, what is x? (a) 7 (b) 8 (c) 21 (d) 6
  21. 21.If x/4 + 10 = 19, what is x? (a) 9 (b) 116 (c) 36 (d) 66
  22. 22.If x/2 + 8 = 12, what is x? (a) 16 (b) 4 (c) 8 (d) 40
  23. 23.If 7x − 42 = 21, what is x? (a) 8 (b) 9 (c) 63 (d) 10
  24. 24.If 9x + 16 = 3x + 58, what is x? (a) 7 (b) 9 (c) 8 (d) 6
  25. 25.If 8x + 6 = x + 20, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  26. 26.If 3x + 13 = 2x + 23, what is x? (a) 36 (b) 2 (c) 10 (d) 11
  27. 27.If 9x + 6 = x + 62, what is x? (a) 6 (b) 8 (c) 7 (d) 9
  28. 28.If x/5 + 12 = 23, what is x? (a) 55 (b) 11 (c) 103 (d) 175
  29. 29.If 5x + 15 = 90, what is x? (a) 15 (b) 16 (c) 21 (d) 75
  30. 30.If 4x + 7 = x + 19, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  31. 31.If x/5 + 7 = 10, what is x? (a) 3 (b) 85 (c) 43 (d) 15
  32. 32.If 4x + 7 = 15, what is x? (a) 8 (b) 2 (c) 3 (d) 1
  33. 33.If 5x + 12 = 77, what is x? (a) 65 (b) 13 (c) 14 (d) 12
  34. 34.If 2x + 26 = 46, what is x? (a) 36 (b) 20 (c) 11 (d) 10
  35. 35.If 6x − 19 = 11, what is x? (a) 5 (b) 6 (c) 30 (d) 4
  36. 36.If 9x + 1 = 2x + 50, what is x? (a) 9 (b) 6 (c) 8 (d) 7
  37. 37.If 3x + 3 = 2x + 11, what is x? (a) 8 (b) 10 (c) 9 (d) 14
  38. 38.If 4x + 25 = 57, what is x? (a) 7 (b) 32 (c) 8 (d) 9
  39. 39.If 6x + 26 = 98, what is x? (a) 11 (b) 12 (c) 72 (d) 13
  40. 40.If 8x + 19 = 2x + 25, what is x? (a) 1 (b) 3 (c) 2 (d) 4

Answer key

  1. 8
  2. 12
  3. 5
  4. 10
  5. 36
  6. 12
  7. 12
  8. 6
  9. 8
  10. 8
  11. 5
  12. 5
  13. 44
  14. 7
  15. 6
  16. 4
  17. 27
  18. 15
  19. 7
  20. 7
  21. 36
  22. 8
  23. 9
  24. 7
  25. 2
  26. 10
  27. 7
  28. 55
  29. 15
  30. 4
  31. 15
  32. 2
  33. 13
  34. 10
  35. 5
  36. 7
  37. 8
  38. 8
  39. 12
  40. 1

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