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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 59 · 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 + 6 = 46, what is x? (a) 4 (b) 40 (c) 5 (d) 6
  2. 2.If x/2 + 2 = 13, what is x? (a) 24 (b) 30 (c) 11 (d) 22
  3. 3.If 5x − 7 = 43, what is x? (a) 50 (b) 9 (c) 10 (d) 11
  4. 4.If 9x − 1 = 53, what is x? (a) 6 (b) 7 (c) 54 (d) 5
  5. 5.If 6x − 29 = 43, what is x? (a) 12 (b) 13 (c) 72 (d) 11
  6. 6.If 4x + 6 = 2x + 30, what is x? (a) 4 (b) 13 (c) 18 (d) 12
  7. 7.If 9x − 8 = 19, what is x? (a) 3 (b) 2 (c) 4 (d) 27
  8. 8.If 5x − 7 = 33, what is x? (a) 7 (b) 9 (c) 8 (d) 40
  9. 9.If 2x + 6 = 22, what is x? (a) 9 (b) 8 (c) 16 (d) 14
  10. 10.If 5x + 4 = 59, what is x? (a) 11 (b) 12 (c) 10 (d) 55
  11. 11.If 6x + 6 = 2x + 42, what is x? (a) 10 (b) 11 (c) 12 (d) 9
  12. 12.If 6x + 6 = 2x + 34, what is x? (a) 8 (b) 7 (c) 9 (d) 10
  13. 13.If 9x + 20 = 110, what is x? (a) 90 (b) 9 (c) 10 (d) 11
  14. 14.If 3x + 30 = 63, what is x? (a) 11 (b) 33 (c) 31 (d) 12
  15. 15.If 5x − 32 = 8, what is x? (a) 40 (b) 9 (c) 8 (d) 7
  16. 16.If 9x + 12 = x + 20, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  17. 17.If 2x + 19 = 45, what is x? (a) 14 (b) 32 (c) 13 (d) 26
  18. 18.If 2x + 1 = 25, what is x? (a) 11 (b) 24 (c) 12 (d) 13
  19. 19.If 5x + 12 = 57, what is x? (a) 45 (b) 9 (c) 10 (d) 8
  20. 20.If x/5 + 1 = 6, what is x? (a) 5 (b) 35 (c) 29 (d) 25
  21. 21.If 6x − 1 = 29, what is x? (a) 6 (b) 30 (c) 4 (d) 5
  22. 22.If 5x + 23 = 98, what is x? (a) 75 (b) 16 (c) 15 (d) 14
  23. 23.If 2x + 25 = 45, what is x? (a) 11 (b) 35 (c) 10 (d) 20
  24. 24.If 5x + 19 = 3x + 41, what is x? (a) 30 (b) 12 (c) 11 (d) 13
  25. 25.If 2x + 14 = 20, what is x? (a) 17 (b) 6 (c) 4 (d) 3
  26. 26.If 8x + 3 = 91, what is x? (a) 11 (b) 10 (c) 12 (d) 88
  27. 27.If 9x + 9 = 6x + 30, what is x? (a) 9 (b) 8 (c) 13 (d) 7
  28. 28.If 4x + 28 = 40, what is x? (a) 12 (b) 17 (c) 4 (d) 3
  29. 29.If 5x + 5 = 15, what is x? (a) 10 (b) 3 (c) 4 (d) 2
  30. 30.If 5x + 6 = 36, what is x? (a) 7 (b) 6 (c) 5 (d) 30
  31. 31.If 9x − 119 = 16, what is x? (a) 15 (b) 14 (c) 16 (d) 135
  32. 32.If 4x − 13 = 3, what is x? (a) 5 (b) 4 (c) 3 (d) 16
  33. 33.If x/4 + 7 = 19, what is x? (a) 12 (b) 69 (c) 104 (d) 48
  34. 34.If 6x + 23 = 65, what is x? (a) 42 (b) 7 (c) 6 (d) 8
  35. 35.If 4x − 11 = 9, what is x? (a) 6 (b) 4 (c) 5 (d) 20
  36. 36.If 3x + 3 = 2x + 4, what is x? (a) 3 (b) 7 (c) 2 (d) 1
  37. 37.If 5x + 13 = 53, what is x? (a) 9 (b) 8 (c) 40 (d) 7
  38. 38.If 2x + 26 = 50, what is x? (a) 38 (b) 12 (c) 13 (d) 24
  39. 39.If 3x − 6 = 12, what is x? (a) 2 (b) 7 (c) 18 (d) 6
  40. 40.If 9x + 11 = 4x + 41, what is x? (a) 6 (b) 5 (c) 8 (d) 7

Answer key

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

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