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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 27 · 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 + 21 = 69, what is x? (a) 11 (b) 12 (c) 48 (d) 13
  2. 2.If x/5 + 5 = 12, what is x? (a) 7 (b) 85 (c) 55 (d) 35
  3. 3.If x/2 + 12 = 17, what is x? (a) 22 (b) 5 (c) 58 (d) 10
  4. 4.If 4x + 9 = 65, what is x? (a) 56 (b) 15 (c) 14 (d) 13
  5. 5.If 5x + 5 = 3x + 7, what is x? (a) 3 (b) 6 (c) 2 (d) 1
  6. 6.If 7x + 10 = 94, what is x? (a) 84 (b) 13 (c) 12 (d) 11
  7. 7.If 7x + 13 = 5x + 23, what is x? (a) 18 (b) 6 (c) 7 (d) 5
  8. 8.If 3x − 7 = 17, what is x? (a) 8 (b) 24 (c) 7 (d) 9
  9. 9.If 2x + 25 = 39, what is x? (a) 14 (b) 8 (c) 32 (d) 7
  10. 10.If 6x + 27 = 105, what is x? (a) 13 (b) 14 (c) 78 (d) 22
  11. 11.If 2x − 13 = 17, what is x? (a) 30 (b) 15 (c) 16 (d) 2
  12. 12.If 6x − 7 = 11, what is x? (a) 2 (b) 18 (c) 3 (d) 4
  13. 13.If x/4 + 14 = 24, what is x? (a) 10 (b) 152 (c) 82 (d) 40
  14. 14.If 8x − 21 = 11, what is x? (a) 5 (b) 4 (c) 32 (d) 3
  15. 15.If 6x + 9 = 39, what is x? (a) 30 (b) 8 (c) 5 (d) 6
  16. 16.If 9x + 3 = 4x + 8, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  17. 17.If 8x + 19 = 99, what is x? (a) 9 (b) 80 (c) 10 (d) 11
  18. 18.If 5x + 7 = 77, what is x? (a) 70 (b) 15 (c) 13 (d) 14
  19. 19.If 2x − 2 = 8, what is x? (a) 6 (b) 3 (c) 10 (d) 5
  20. 20.If x/6 + 11 = 21, what is x? (a) 60 (b) 192 (c) 10 (d) 115
  21. 21.If 9x − 45 = 18, what is x? (a) 63 (b) 6 (c) 8 (d) 7
  22. 22.If 6x − 4 = 14, what is x? (a) 4 (b) 3 (c) 2 (d) 18
  23. 23.If 4x + 12 = 64, what is x? (a) 14 (b) 52 (c) 13 (d) 19
  24. 24.If x/4 + 15 = 25, what is x? (a) 10 (b) 40 (c) 85 (d) 160
  25. 25.If 5x − 7 = 28, what is x? (a) 6 (b) 8 (c) 7 (d) 35
  26. 26.If x/4 + 13 = 18, what is x? (a) 59 (b) 124 (c) 5 (d) 20
  27. 27.If 8x − 22 = 2, what is x? (a) 2 (b) 24 (c) 3 (d) 4
  28. 28.If 8x + 8 = 56, what is x? (a) 48 (b) 8 (c) 7 (d) 6
  29. 29.If x/4 + 11 = 17, what is x? (a) 57 (b) 6 (c) 24 (d) 112
  30. 30.If 4x + 13 = x + 34, what is x? (a) 7 (b) 6 (c) 8 (d) 9
  31. 31.If 4x + 1 = x + 13, what is x? (a) 3 (b) 4 (c) 5 (d) 6
  32. 32.If 7x − 20 = 36, what is x? (a) 8 (b) 9 (c) 7 (d) 56
  33. 33.If 4x − 13 = 11, what is x? (a) 5 (b) 24 (c) 6 (d) 7
  34. 34.If x/6 + 10 = 12, what is x? (a) 62 (b) 2 (c) 132 (d) 12
  35. 35.If 5x + 7 = x + 27, what is x? (a) 4 (b) 5 (c) 6 (d) 7
  36. 36.If 5x + 20 = 60, what is x? (a) 8 (b) 16 (c) 9 (d) 40
  37. 37.If x/6 + 9 = 13, what is x? (a) 132 (b) 24 (c) 69 (d) 4
  38. 38.If 8x − 29 = 3, what is x? (a) 4 (b) 32 (c) 3 (d) 5
  39. 39.If 4x − 11 = 5, what is x? (a) 3 (b) 5 (c) 16 (d) 4
  40. 40.If 2x − 23 = 1, what is x? (a) 12 (b) 11 (c) 13 (d) 24

Answer key

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

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