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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 498 · 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 7x − 41 = 8, what is x? (a) 8 (b) 49 (c) 7 (d) 6
  2. 2.If 4x − 17 = 35, what is x? (a) 52 (b) 12 (c) 13 (d) 14
  3. 3.If 9x + 2 = 128, what is x? (a) 126 (b) 14 (c) 15 (d) 13
  4. 4.If 9x − 47 = 16, what is x? (a) 8 (b) 6 (c) 63 (d) 7
  5. 5.If 5x + 22 = 37, what is x? (a) 3 (b) 15 (c) 2 (d) 4
  6. 6.If 7x + 4 = 46, what is x? (a) 5 (b) 6 (c) 7 (d) 42
  7. 7.If 4x + 9 = 41, what is x? (a) 32 (b) 9 (c) 7 (d) 8
  8. 8.If 3x − 40 = 5, what is x? (a) 15 (b) 45 (c) 16 (d) 14
  9. 9.If x/2 + 3 = 11, what is x? (a) 8 (b) 28 (c) 19 (d) 16
  10. 10.If 3x + 8 = 32, what is x? (a) 9 (b) 7 (c) 24 (d) 8
  11. 11.If x/2 + 12 = 23, what is x? (a) 70 (b) 22 (c) 34 (d) 11
  12. 12.If 7x + 7 = 5x + 19, what is x? (a) 1 (b) 13 (c) 6 (d) 7
  13. 13.If x/3 + 9 = 14, what is x? (a) 5 (b) 15 (c) 69 (d) 33
  14. 14.If 7x + 17 = 38, what is x? (a) 4 (b) 2 (c) 21 (d) 3
  15. 15.If x/6 + 6 = 17, what is x? (a) 66 (b) 96 (c) 138 (d) 11
  16. 16.If 7x + 22 = 78, what is x? (a) 7 (b) 56 (c) 8 (d) 9
  17. 17.If 9x + 10 = 37, what is x? (a) 3 (b) 27 (c) 2 (d) 4
  18. 18.If 6x − 8 = 16, what is x? (a) 4 (b) 5 (c) 3 (d) 24
  19. 19.If 7x + 15 = 43, what is x? (a) 3 (b) 4 (c) 5 (d) 28
  20. 20.If 7x + 20 = 3x + 24, what is x? (a) 3 (b) 2 (c) 1 (d) 11
  21. 21.If x/2 + 14 = 19, what is x? (a) 10 (b) 5 (c) 66 (d) 24
  22. 22.If 8x + 9 = 6x + 15, what is x? (a) 3 (b) 12 (c) 4 (d) 5
  23. 23.If 6x + 3 = 4x + 5, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  24. 24.If x/3 + 1 = 6, what is x? (a) 21 (b) 5 (c) 15 (d) 17
  25. 25.If 5x − 36 = 9, what is x? (a) 45 (b) 10 (c) 9 (d) 8
  26. 26.If 3x + 14 = 59, what is x? (a) 16 (b) 14 (c) 15 (d) 45
  27. 27.If 4x − 2 = 38, what is x? (a) 11 (b) 40 (c) 9 (d) 10
  28. 28.If 2x + 5 = 19, what is x? (a) 7 (b) 12 (c) 8 (d) 14
  29. 29.If 3x + 22 = 55, what is x? (a) 33 (b) 10 (c) 12 (d) 11
  30. 30.If 7x + 6 = 6x + 10, what is x? (a) 4 (b) 5 (c) 6 (d) 16
  31. 31.If 4x + 1 = 2x + 11, what is x? (a) 7 (b) 4 (c) 6 (d) 5
  32. 32.If 5x + 13 = 2x + 49, what is x? (a) 14 (b) 13 (c) 12 (d) 11
  33. 33.If x/2 + 7 = 14, what is x? (a) 42 (b) 7 (c) 21 (d) 14
  34. 34.If 3x + 10 = 19, what is x? (a) 4 (b) 9 (c) 3 (d) 2
  35. 35.If 3x + 14 = x + 32, what is x? (a) 10 (b) 23 (c) 9 (d) 11
  36. 36.If x/6 + 12 = 24, what is x? (a) 72 (b) 132 (c) 12 (d) 216
  37. 37.If x/4 + 1 = 7, what is x? (a) 32 (b) 6 (c) 27 (d) 24
  38. 38.If 6x − 19 = 47, what is x? (a) 12 (b) 66 (c) 11 (d) 10
  39. 39.If 9x − 6 = 48, what is x? (a) 5 (b) 7 (c) 6 (d) 54
  40. 40.If x/4 + 14 = 19, what is x? (a) 5 (b) 62 (c) 20 (d) 132

Answer key

  1. 7
  2. 13
  3. 14
  4. 7
  5. 3
  6. 6
  7. 8
  8. 15
  9. 16
  10. 8
  11. 22
  12. 6
  13. 15
  14. 3
  15. 66
  16. 8
  17. 3
  18. 4
  19. 4
  20. 1
  21. 10
  22. 3
  23. 1
  24. 15
  25. 9
  26. 15
  27. 10
  28. 7
  29. 11
  30. 4
  31. 5
  32. 12
  33. 14
  34. 3
  35. 9
  36. 72
  37. 24
  38. 11
  39. 6
  40. 20

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