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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 708 · 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 5x + 12 = 42, what is x? (a) 5 (b) 30 (c) 7 (d) 6
  2. 2.If 5x + 19 = 2x + 28, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  3. 3.If 6x − 37 = 23, what is x? (a) 60 (b) 9 (c) 11 (d) 10
  4. 4.If 6x + 20 = 4x + 30, what is x? (a) 6 (b) 1 (c) 5 (d) 25
  5. 5.If x/2 + 1 = 10, what is x? (a) 9 (b) 19 (c) 18 (d) 22
  6. 6.If 7x + 13 = 83, what is x? (a) 11 (b) 70 (c) 9 (d) 10
  7. 7.If 4x + 15 = x + 45, what is x? (a) 11 (b) 6 (c) 10 (d) 20
  8. 8.If 6x + 8 = 3x + 11, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  9. 9.If x/3 + 12 = 20, what is x? (a) 96 (b) 24 (c) 48 (d) 8
  10. 10.If 6x + 22 = 70, what is x? (a) 48 (b) 9 (c) 8 (d) 7
  11. 11.If x/4 + 7 = 10, what is x? (a) 3 (b) 33 (c) 68 (d) 12
  12. 12.If 3x + 27 = 48, what is x? (a) 8 (b) 7 (c) 21 (d) 25
  13. 13.If 4x + 1 = 3x + 12, what is x? (a) 11 (b) 13 (c) 12 (d) 10
  14. 14.If 3x + 10 = x + 16, what is x? (a) 13 (b) 5 (c) 4 (d) 3
  15. 15.If 7x − 11 = 10, what is x? (a) 2 (b) 21 (c) 4 (d) 3
  16. 16.If 4x + 7 = 3x + 13, what is x? (a) 8 (b) 7 (c) 6 (d) 20
  17. 17.If 9x + 13 = 103, what is x? (a) 11 (b) 9 (c) 90 (d) 10
  18. 18.If 4x − 41 = 15, what is x? (a) 56 (b) 13 (c) 14 (d) 15
  19. 19.If 4x − 9 = 39, what is x? (a) 12 (b) 11 (c) 48 (d) 13
  20. 20.If 8x + 27 = 99, what is x? (a) 72 (b) 8 (c) 9 (d) 10
  21. 21.If 4x + 1 = x + 7, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  22. 22.If 3x − 17 = 16, what is x? (a) 11 (b) 33 (c) 10 (d) 12
  23. 23.If 8x + 9 = 41, what is x? (a) 4 (b) 5 (c) 3 (d) 32
  24. 24.If 8x − 68 = 20, what is x? (a) 12 (b) 88 (c) 11 (d) 10
  25. 25.If x/3 + 8 = 19, what is x? (a) 33 (b) 49 (c) 11 (d) 81
  26. 26.If 7x + 28 = 56, what is x? (a) 5 (b) 4 (c) 28 (d) 12
  27. 27.If x/5 + 6 = 13, what is x? (a) 35 (b) 59 (c) 95 (d) 7
  28. 28.If 3x − 11 = 19, what is x? (a) 30 (b) 9 (c) 10 (d) 11
  29. 29.If x/3 + 15 = 19, what is x? (a) 4 (b) 12 (c) 102 (d) 42
  30. 30.If 8x + 6 = 38, what is x? (a) 5 (b) 32 (c) 4 (d) 3
  31. 31.If x/2 + 9 = 19, what is x? (a) 29 (b) 56 (c) 20 (d) 10
  32. 32.If x/2 + 14 = 17, what is x? (a) 6 (b) 20 (c) 62 (d) 3
  33. 33.If x/5 + 7 = 9, what is x? (a) 10 (b) 2 (c) 80 (d) 38
  34. 34.If 5x + 6 = 66, what is x? (a) 13 (b) 60 (c) 11 (d) 12
  35. 35.If 6x + 25 = 103, what is x? (a) 14 (b) 78 (c) 12 (d) 13
  36. 36.If 9x − 42 = 39, what is x? (a) 81 (b) 8 (c) 9 (d) 10
  37. 37.If 4x + 15 = 35, what is x? (a) 6 (b) 5 (c) 4 (d) 20
  38. 38.If 4x − 27 = 13, what is x? (a) 11 (b) 9 (c) 40 (d) 10
  39. 39.If 4x + 9 = 2x + 29, what is x? (a) 10 (b) 19 (c) 12 (d) 11
  40. 40.If x/6 + 10 = 12, what is x? (a) 132 (b) 2 (c) 62 (d) 12

Answer key

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

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