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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 171 · 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/4 + 6 = 8, what is x? (a) 8 (b) 56 (c) 2 (d) 26
  2. 2.If 8x − 9 = 31, what is x? (a) 6 (b) 4 (c) 5 (d) 40
  3. 3.If 8x + 20 = 6x + 26, what is x? (a) 23 (b) 5 (c) 4 (d) 3
  4. 4.If 4x − 6 = 14, what is x? (a) 20 (b) 5 (c) 2 (d) 6
  5. 5.If 3x + 8 = 47, what is x? (a) 14 (b) 39 (c) 13 (d) 12
  6. 6.If 9x + 21 = 120, what is x? (a) 99 (b) 12 (c) 11 (d) 10
  7. 7.If 4x − 6 = 10, what is x? (a) 1 (b) 5 (c) 4 (d) 16
  8. 8.If 4x − 8 = 20, what is x? (a) 7 (b) 3 (c) 8 (d) 28
  9. 9.If x/4 + 15 = 21, what is x? (a) 24 (b) 144 (c) 69 (d) 6
  10. 10.If 4x + 2 = 2x + 12, what is x? (a) 4 (b) 7 (c) 6 (d) 5
  11. 11.If 6x − 25 = 11, what is x? (a) 7 (b) 6 (c) 5 (d) 36
  12. 12.If 6x + 17 = 53, what is x? (a) 6 (b) 7 (c) 5 (d) 36
  13. 13.If 5x + 27 = 82, what is x? (a) 55 (b) 12 (c) 10 (d) 11
  14. 14.If 7x − 18 = 38, what is x? (a) 56 (b) 8 (c) 7 (d) 9
  15. 15.If 2x + 7 = 15, what is x? (a) 11 (b) 5 (c) 4 (d) 8
  16. 16.If x/5 + 11 = 17, what is x? (a) 30 (b) 6 (c) 74 (d) 140
  17. 17.If 6x − 10 = 26, what is x? (a) 36 (b) 5 (c) 7 (d) 6
  18. 18.If 7x + 4 = 67, what is x? (a) 9 (b) 63 (c) 10 (d) 8
  19. 19.If x/6 + 10 = 13, what is x? (a) 68 (b) 18 (c) 3 (d) 138
  20. 20.If 6x − 16 = 74, what is x? (a) 90 (b) 16 (c) 14 (d) 15
  21. 21.If 2x + 23 = 33, what is x? (a) 10 (b) 6 (c) 28 (d) 5
  22. 22.If 9x + 3 = 30, what is x? (a) 2 (b) 27 (c) 3 (d) 4
  23. 23.If 7x + 3 = 24, what is x? (a) 21 (b) 2 (c) 4 (d) 3
  24. 24.If 7x + 23 = 79, what is x? (a) 8 (b) 56 (c) 7 (d) 9
  25. 25.If x/2 + 8 = 17, what is x? (a) 18 (b) 50 (c) 9 (d) 26
  26. 26.If 9x + 2 = 8x + 4, what is x? (a) 3 (b) 4 (c) 6 (d) 2
  27. 27.If 2x + 20 = 48, what is x? (a) 15 (b) 28 (c) 34 (d) 14
  28. 28.If 5x + 15 = 4x + 20, what is x? (a) 35 (b) 5 (c) 6 (d) 7
  29. 29.If x/4 + 12 = 16, what is x? (a) 4 (b) 16 (c) 112 (d) 52
  30. 30.If 5x − 19 = 36, what is x? (a) 10 (b) 55 (c) 11 (d) 12
  31. 31.If x/6 + 8 = 14, what is x? (a) 36 (b) 6 (c) 76 (d) 132
  32. 32.If 5x + 14 = 29, what is x? (a) 2 (b) 3 (c) 15 (d) 4
  33. 33.If 9x + 9 = 54, what is x? (a) 45 (b) 5 (c) 7 (d) 6
  34. 34.If 7x + 28 = 77, what is x? (a) 49 (b) 7 (c) 15 (d) 8
  35. 35.If 6x + 13 = 4x + 27, what is x? (a) 8 (b) 9 (c) 7 (d) 20
  36. 36.If x/6 + 12 = 15, what is x? (a) 162 (b) 18 (c) 78 (d) 3
  37. 37.If 6x + 8 = x + 63, what is x? (a) 13 (b) 12 (c) 11 (d) 10
  38. 38.If 5x − 42 = 8, what is x? (a) 11 (b) 50 (c) 10 (d) 9
  39. 39.If 9x + 29 = 56, what is x? (a) 3 (b) 27 (c) 2 (d) 4
  40. 40.If 7x + 9 = 5x + 29, what is x? (a) 19 (b) 11 (c) 10 (d) 12

Answer key

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

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