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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 521 · 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 − 72 = 40, what is x? (a) 15 (b) 112 (c) 13 (d) 14
  2. 2.If 9x − 101 = 16, what is x? (a) 14 (b) 117 (c) 12 (d) 13
  3. 3.If 4x + 7 = 3x + 12, what is x? (a) 7 (b) 19 (c) 5 (d) 6
  4. 4.If 5x + 2 = 17, what is x? (a) 2 (b) 4 (c) 3 (d) 15
  5. 5.If 7x − 10 = 46, what is x? (a) 7 (b) 56 (c) 8 (d) 9
  6. 6.If 4x + 10 = 50, what is x? (a) 15 (b) 11 (c) 10 (d) 40
  7. 7.If 9x + 20 = x + 52, what is x? (a) 6 (b) 9 (c) 4 (d) 5
  8. 8.If 9x + 15 = 6x + 30, what is x? (a) 15 (b) 1 (c) 6 (d) 5
  9. 9.If 6x − 2 = 58, what is x? (a) 60 (b) 11 (c) 10 (d) 9
  10. 10.If 7x − 36 = 41, what is x? (a) 77 (b) 12 (c) 10 (d) 11
  11. 11.If x/6 + 10 = 19, what is x? (a) 9 (b) 104 (c) 54 (d) 174
  12. 12.If 2x + 24 = 28, what is x? (a) 26 (b) 4 (c) 3 (d) 2
  13. 13.If 4x + 15 = 51, what is x? (a) 10 (b) 36 (c) 8 (d) 9
  14. 14.If 9x + 8 = 71, what is x? (a) 7 (b) 6 (c) 8 (d) 63
  15. 15.If 4x + 19 = 79, what is x? (a) 60 (b) 14 (c) 16 (d) 15
  16. 16.If 6x + 11 = 4x + 21, what is x? (a) 6 (b) 16 (c) 1 (d) 5
  17. 17.If 4x − 12 = 4, what is x? (a) 16 (b) 5 (c) 4 (d) 3
  18. 18.If 6x − 16 = 20, what is x? (a) 7 (b) 6 (c) 5 (d) 36
  19. 19.If 9x + 9 = 99, what is x? (a) 10 (b) 11 (c) 12 (d) 90
  20. 20.If x/3 + 9 = 12, what is x? (a) 3 (b) 9 (c) 63 (d) 27
  21. 21.If 3x + 17 = x + 21, what is x? (a) 19 (b) 2 (c) 3 (d) 1
  22. 22.If 3x + 14 = 23, what is x? (a) 4 (b) 3 (c) 9 (d) 2
  23. 23.If 4x + 8 = x + 20, what is x? (a) 4 (b) 5 (c) 6 (d) 3
  24. 24.If x/2 + 7 = 10, what is x? (a) 34 (b) 3 (c) 13 (d) 6
  25. 25.If 6x + 18 = 54, what is x? (a) 7 (b) 12 (c) 36 (d) 6
  26. 26.If 7x + 11 = 67, what is x? (a) 8 (b) 7 (c) 56 (d) 9
  27. 27.If 7x + 24 = 45, what is x? (a) 2 (b) 21 (c) 3 (d) 4
  28. 28.If 4x − 24 = 16, what is x? (a) 40 (b) 10 (c) 11 (d) 9
  29. 29.If x/4 + 8 = 17, what is x? (a) 9 (b) 100 (c) 36 (d) 60
  30. 30.If 4x − 6 = 34, what is x? (a) 40 (b) 7 (c) 11 (d) 10
  31. 31.If x/6 + 11 = 13, what is x? (a) 67 (b) 144 (c) 12 (d) 2
  32. 32.If x/6 + 1 = 4, what is x? (a) 30 (b) 23 (c) 3 (d) 18
  33. 33.If x/6 + 10 = 14, what is x? (a) 24 (b) 74 (c) 4 (d) 144
  34. 34.If 2x − 5 = 3, what is x? (a) 5 (b) 8 (c) 3 (d) 4
  35. 35.If x/3 + 11 = 17, what is x? (a) 84 (b) 6 (c) 40 (d) 18
  36. 36.If x/4 + 7 = 14, what is x? (a) 49 (b) 84 (c) 7 (d) 28
  37. 37.If x/3 + 6 = 12, what is x? (a) 18 (b) 30 (c) 6 (d) 54
  38. 38.If 6x + 10 = 2x + 38, what is x? (a) 7 (b) 9 (c) 8 (d) 12
  39. 39.If 9x − 49 = 5, what is x? (a) 7 (b) 5 (c) 54 (d) 6
  40. 40.If x/3 + 5 = 14, what is x? (a) 9 (b) 27 (c) 37 (d) 57

Answer key

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

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