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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 507 · 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/5 + 6 = 9, what is x? (a) 39 (b) 15 (c) 75 (d) 3
  2. 2.If x/2 + 12 = 15, what is x? (a) 3 (b) 54 (c) 18 (d) 6
  3. 3.If 2x − 7 = 11, what is x? (a) 9 (b) 18 (c) 2 (d) 10
  4. 4.If 6x + 2 = 5x + 12, what is x? (a) 11 (b) 10 (c) 12 (d) 14
  5. 5.If x/5 + 15 = 25, what is x? (a) 50 (b) 10 (c) 110 (d) 200
  6. 6.If 8x + 17 = 5x + 35, what is x? (a) 5 (b) 6 (c) 7 (d) 8
  7. 7.If x/3 + 11 = 22, what is x? (a) 11 (b) 55 (c) 99 (d) 33
  8. 8.If x/6 + 13 = 15, what is x? (a) 2 (b) 12 (c) 77 (d) 168
  9. 9.If 9x − 33 = 39, what is x? (a) 8 (b) 9 (c) 72 (d) 7
  10. 10.If 9x + 24 = 60, what is x? (a) 36 (b) 3 (c) 4 (d) 5
  11. 11.If 4x + 4 = x + 22, what is x? (a) 6 (b) 8 (c) 7 (d) 5
  12. 12.If 4x − 8 = 40, what is x? (a) 48 (b) 8 (c) 13 (d) 12
  13. 13.If 4x + 9 = 65, what is x? (a) 14 (b) 13 (c) 56 (d) 15
  14. 14.If 3x − 7 = 5, what is x? (a) 5 (b) 12 (c) 3 (d) 4
  15. 15.If 3x − 3 = 39, what is x? (a) 12 (b) 42 (c) 15 (d) 14
  16. 16.If 3x + 15 = 2x + 19, what is x? (a) 5 (b) 4 (c) 34 (d) 6
  17. 17.If x/2 + 5 = 7, what is x? (a) 9 (b) 4 (c) 2 (d) 24
  18. 18.If 3x − 14 = 31, what is x? (a) 45 (b) 14 (c) 15 (d) 16
  19. 19.If 3x − 5 = 31, what is x? (a) 36 (b) 11 (c) 12 (d) 13
  20. 20.If 3x + 10 = x + 18, what is x? (a) 14 (b) 4 (c) 2 (d) 5
  21. 21.If x/3 + 2 = 10, what is x? (a) 36 (b) 24 (c) 8 (d) 28
  22. 22.If 6x + 26 = 92, what is x? (a) 12 (b) 11 (c) 10 (d) 66
  23. 23.If 9x − 53 = 10, what is x? (a) 63 (b) 8 (c) 7 (d) 6
  24. 24.If 5x + 19 = x + 31, what is x? (a) 3 (b) 4 (c) 5 (d) 2
  25. 25.If x/6 + 10 = 19, what is x? (a) 104 (b) 54 (c) 9 (d) 174
  26. 26.If 5x − 1 = 24, what is x? (a) 25 (b) 4 (c) 5 (d) 6
  27. 27.If x/6 + 3 = 5, what is x? (a) 2 (b) 27 (c) 12 (d) 48
  28. 28.If 3x + 15 = x + 29, what is x? (a) 9 (b) 7 (c) 8 (d) 22
  29. 29.If 4x + 16 = 44, what is x? (a) 15 (b) 28 (c) 7 (d) 8
  30. 30.If x/3 + 13 = 21, what is x? (a) 24 (b) 102 (c) 50 (d) 8
  31. 31.If 3x + 7 = 52, what is x? (a) 14 (b) 16 (c) 15 (d) 45
  32. 32.If x/4 + 6 = 11, what is x? (a) 38 (b) 5 (c) 68 (d) 20
  33. 33.If 8x − 10 = 94, what is x? (a) 14 (b) 13 (c) 104 (d) 12
  34. 34.If 5x − 1 = 9, what is x? (a) 2 (b) 10 (c) 3 (d) 1
  35. 35.If 8x + 4 = 2x + 52, what is x? (a) 10 (b) 9 (c) 7 (d) 8
  36. 36.If x/2 + 7 = 14, what is x? (a) 14 (b) 7 (c) 21 (d) 42
  37. 37.If 3x + 13 = 46, what is x? (a) 33 (b) 11 (c) 12 (d) 10
  38. 38.If 9x + 5 = 8x + 12, what is x? (a) 7 (b) 8 (c) 9 (d) 17
  39. 39.If 9x − 34 = 2, what is x? (a) 36 (b) 3 (c) 5 (d) 4
  40. 40.If 9x + 6 = 123, what is x? (a) 14 (b) 117 (c) 12 (d) 13

Answer key

  1. 15
  2. 6
  3. 9
  4. 10
  5. 50
  6. 6
  7. 33
  8. 12
  9. 8
  10. 4
  11. 6
  12. 12
  13. 14
  14. 4
  15. 14
  16. 4
  17. 4
  18. 15
  19. 12
  20. 4
  21. 24
  22. 11
  23. 7
  24. 3
  25. 54
  26. 5
  27. 12
  28. 7
  29. 7
  30. 24
  31. 15
  32. 20
  33. 13
  34. 2
  35. 8
  36. 14
  37. 11
  38. 7
  39. 4
  40. 13

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