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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 320 · 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/6 + 9 = 13, what is x? (a) 69 (b) 132 (c) 24 (d) 4
  2. 2.If 2x + 7 = 21, what is x? (a) 8 (b) 14 (c) 6 (d) 7
  3. 3.If x/4 + 2 = 12, what is x? (a) 56 (b) 40 (c) 10 (d) 46
  4. 4.If 4x + 1 = 29, what is x? (a) 28 (b) 6 (c) 7 (d) 8
  5. 5.If 8x − 33 = 31, what is x? (a) 8 (b) 9 (c) 7 (d) 64
  6. 6.If 4x − 4 = 16, what is x? (a) 5 (b) 3 (c) 6 (d) 20
  7. 7.If 2x − 9 = 5, what is x? (a) 8 (b) 14 (c) 6 (d) 7
  8. 8.If 4x + 13 = x + 19, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  9. 9.If 9x − 24 = 30, what is x? (a) 6 (b) 5 (c) 7 (d) 54
  10. 10.If x/5 + 9 = 20, what is x? (a) 11 (b) 91 (c) 145 (d) 55
  11. 11.If 5x − 24 = 51, what is x? (a) 14 (b) 75 (c) 16 (d) 15
  12. 12.If x/6 + 1 = 7, what is x? (a) 36 (b) 48 (c) 6 (d) 41
  13. 13.If 5x − 17 = 8, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  14. 14.If 8x + 5 = 4x + 9, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  15. 15.If 5x + 16 = 2x + 40, what is x? (a) 9 (b) 10 (c) 8 (d) 7
  16. 16.If 5x − 6 = 19, what is x? (a) 6 (b) 25 (c) 4 (d) 5
  17. 17.If x/4 + 3 = 10, what is x? (a) 7 (b) 28 (c) 52 (d) 37
  18. 18.If 9x + 9 = 6x + 27, what is x? (a) 12 (b) 7 (c) 8 (d) 6
  19. 19.If 3x + 17 = 44, what is x? (a) 27 (b) 8 (c) 9 (d) 10
  20. 20.If 6x − 8 = 58, what is x? (a) 11 (b) 10 (c) 66 (d) 12
  21. 21.If x/3 + 8 = 12, what is x? (a) 60 (b) 28 (c) 12 (d) 4
  22. 22.If 2x − 13 = 15, what is x? (a) 1 (b) 15 (c) 14 (d) 28
  23. 23.If 6x − 13 = 17, what is x? (a) 4 (b) 5 (c) 30 (d) 6
  24. 24.If x/6 + 13 = 22, what is x? (a) 210 (b) 54 (c) 119 (d) 9
  25. 25.If 4x + 27 = 47, what is x? (a) 4 (b) 6 (c) 5 (d) 20
  26. 26.If 7x + 30 = 51, what is x? (a) 3 (b) 21 (c) 2 (d) 4
  27. 27.If x/3 + 4 = 9, what is x? (a) 39 (b) 23 (c) 5 (d) 15
  28. 28.If 9x + 10 = 37, what is x? (a) 4 (b) 3 (c) 27 (d) 2
  29. 29.If x/6 + 13 = 23, what is x? (a) 216 (b) 60 (c) 10 (d) 125
  30. 30.If 6x − 11 = 79, what is x? (a) 16 (b) 15 (c) 90 (d) 14
  31. 31.If 9x + 3 = 138, what is x? (a) 15 (b) 16 (c) 135 (d) 14
  32. 32.If 6x + 15 = 27, what is x? (a) 12 (b) 2 (c) 7 (d) 3
  33. 33.If x/2 + 8 = 17, what is x? (a) 9 (b) 26 (c) 18 (d) 50
  34. 34.If x/3 + 14 = 25, what is x? (a) 117 (b) 61 (c) 11 (d) 33
  35. 35.If x/2 + 5 = 11, what is x? (a) 6 (b) 12 (c) 17 (d) 32
  36. 36.If 9x + 10 = x + 90, what is x? (a) 8 (b) 12 (c) 10 (d) 11
  37. 37.If 9x + 9 = 3x + 45, what is x? (a) 3 (b) 7 (c) 9 (d) 6
  38. 38.If 8x + 13 = 2x + 31, what is x? (a) 2 (b) 3 (c) 5 (d) 4
  39. 39.If 6x + 15 = 57, what is x? (a) 42 (b) 8 (c) 7 (d) 12
  40. 40.If 6x + 15 = 75, what is x? (a) 15 (b) 11 (c) 10 (d) 60

Answer key

  1. 24
  2. 7
  3. 40
  4. 7
  5. 8
  6. 5
  7. 7
  8. 2
  9. 6
  10. 55
  11. 15
  12. 36
  13. 5
  14. 1
  15. 8
  16. 5
  17. 28
  18. 6
  19. 9
  20. 11
  21. 12
  22. 14
  23. 5
  24. 54
  25. 5
  26. 3
  27. 15
  28. 3
  29. 60
  30. 15
  31. 15
  32. 2
  33. 18
  34. 33
  35. 12
  36. 10
  37. 6
  38. 3
  39. 7
  40. 10

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