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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 817 · 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 8x + 16 = 7x + 23, what is x? (a) 39 (b) 7 (c) 9 (d) 8
  2. 2.If x/6 + 12 = 14, what is x? (a) 72 (b) 156 (c) 2 (d) 12
  3. 3.If 4x + 15 = x + 33, what is x? (a) 16 (b) 8 (c) 6 (d) 7
  4. 4.If 6x − 45 = 21, what is x? (a) 12 (b) 11 (c) 10 (d) 66
  5. 5.If 4x + 3 = 3x + 10, what is x? (a) 7 (b) 13 (c) 1 (d) 8
  6. 6.If 7x + 14 = 3x + 34, what is x? (a) 12 (b) 5 (c) 2 (d) 6
  7. 7.If 8x + 16 = 3x + 66, what is x? (a) 11 (b) 9 (c) 10 (d) 12
  8. 8.If 5x + 21 = 76, what is x? (a) 55 (b) 11 (c) 10 (d) 12
  9. 9.If 2x + 5 = 19, what is x? (a) 8 (b) 14 (c) 12 (d) 7
  10. 10.If 3x + 7 = x + 15, what is x? (a) 11 (b) 2 (c) 5 (d) 4
  11. 11.If 4x + 16 = 52, what is x? (a) 36 (b) 17 (c) 9 (d) 10
  12. 12.If 5x − 21 = 24, what is x? (a) 45 (b) 10 (c) 9 (d) 8
  13. 13.If 3x + 2 = 2x + 6, what is x? (a) 5 (b) 6 (c) 8 (d) 4
  14. 14.If 8x + 12 = 60, what is x? (a) 48 (b) 9 (c) 7 (d) 6
  15. 15.If x/5 + 6 = 14, what is x? (a) 40 (b) 100 (c) 8 (d) 64
  16. 16.If x/6 + 1 = 11, what is x? (a) 72 (b) 10 (c) 65 (d) 60
  17. 17.If 3x + 18 = x + 20, what is x? (a) 19 (b) 2 (c) 3 (d) 1
  18. 18.If 9x − 13 = 41, what is x? (a) 5 (b) 54 (c) 7 (d) 6
  19. 19.If 7x + 17 = 108, what is x? (a) 91 (b) 14 (c) 12 (d) 13
  20. 20.If 3x − 1 = 5, what is x? (a) 1 (b) 2 (c) 3 (d) 6
  21. 21.If 6x + 17 = 59, what is x? (a) 42 (b) 8 (c) 6 (d) 7
  22. 22.If 8x + 9 = x + 51, what is x? (a) 8 (b) 6 (c) 7 (d) 5
  23. 23.If 8x + 13 = x + 83, what is x? (a) 10 (b) 12 (c) 11 (d) 9
  24. 24.If 3x − 25 = 17, what is x? (a) 13 (b) 42 (c) 14 (d) 15
  25. 25.If x/4 + 4 = 16, what is x? (a) 12 (b) 60 (c) 80 (d) 48
  26. 26.If 9x + 11 = 3x + 59, what is x? (a) 10 (b) 4 (c) 8 (d) 9
  27. 27.If x/5 + 14 = 18, what is x? (a) 76 (b) 4 (c) 20 (d) 160
  28. 28.If x/2 + 12 = 22, what is x? (a) 10 (b) 68 (c) 20 (d) 32
  29. 29.If 7x + 11 = 46, what is x? (a) 4 (b) 35 (c) 6 (d) 5
  30. 30.If x/5 + 5 = 15, what is x? (a) 70 (b) 10 (c) 100 (d) 50
  31. 31.If 3x − 2 = 7, what is x? (a) 9 (b) 2 (c) 3 (d) 4
  32. 32.If x/4 + 3 = 10, what is x? (a) 28 (b) 7 (c) 52 (d) 37
  33. 33.If x/4 + 3 = 6, what is x? (a) 21 (b) 36 (c) 12 (d) 3
  34. 34.If x/4 + 9 = 11, what is x? (a) 35 (b) 2 (c) 80 (d) 8
  35. 35.If 4x − 3 = 5, what is x? (a) 1 (b) 3 (c) 8 (d) 2
  36. 36.If 4x + 13 = 2x + 31, what is x? (a) 22 (b) 10 (c) 9 (d) 3
  37. 37.If 8x + 10 = 58, what is x? (a) 7 (b) 48 (c) 6 (d) 5
  38. 38.If 3x − 2 = 10, what is x? (a) 3 (b) 12 (c) 5 (d) 4
  39. 39.If 2x + 17 = 47, what is x? (a) 15 (b) 16 (c) 30 (d) 32
  40. 40.If x/6 + 14 = 18, what is x? (a) 4 (b) 192 (c) 24 (d) 94

Answer key

  1. 7
  2. 12
  3. 6
  4. 11
  5. 7
  6. 5
  7. 10
  8. 11
  9. 7
  10. 4
  11. 9
  12. 9
  13. 4
  14. 6
  15. 40
  16. 60
  17. 1
  18. 6
  19. 13
  20. 2
  21. 7
  22. 6
  23. 10
  24. 14
  25. 48
  26. 8
  27. 20
  28. 20
  29. 5
  30. 50
  31. 3
  32. 28
  33. 12
  34. 8
  35. 2
  36. 9
  37. 6
  38. 4
  39. 15
  40. 24

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