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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 188 · 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 + 18 = 74, what is x? (a) 8 (b) 7 (c) 9 (d) 56
  2. 2.If x/2 + 10 = 13, what is x? (a) 46 (b) 16 (c) 6 (d) 3
  3. 3.If 5x + 14 = 4x + 25, what is x? (a) 11 (b) 12 (c) 13 (d) 39
  4. 4.If 2x − 12 = 6, what is x? (a) 10 (b) 18 (c) 8 (d) 9
  5. 5.If x/5 + 10 = 19, what is x? (a) 9 (b) 85 (c) 45 (d) 145
  6. 6.If x/3 + 4 = 15, what is x? (a) 11 (b) 57 (c) 33 (d) 41
  7. 7.If 7x − 7 = 14, what is x? (a) 21 (b) 1 (c) 4 (d) 3
  8. 8.If 4x − 2 = 54, what is x? (a) 56 (b) 14 (c) 13 (d) 15
  9. 9.If 4x − 14 = 2, what is x? (a) 5 (b) 16 (c) 3 (d) 4
  10. 10.If x/4 + 15 = 23, what is x? (a) 77 (b) 152 (c) 32 (d) 8
  11. 11.If 4x − 3 = 5, what is x? (a) 1 (b) 3 (c) 2 (d) 8
  12. 12.If 9x − 117 = 9, what is x? (a) 126 (b) 15 (c) 13 (d) 14
  13. 13.If 4x + 21 = 77, what is x? (a) 14 (b) 13 (c) 56 (d) 15
  14. 14.If 3x − 3 = 36, what is x? (a) 14 (b) 11 (c) 13 (d) 39
  15. 15.If 3x + 15 = 24, what is x? (a) 9 (b) 13 (c) 3 (d) 4
  16. 16.If 3x − 7 = 5, what is x? (a) 12 (b) 3 (c) 4 (d) 5
  17. 17.If 6x − 45 = 39, what is x? (a) 13 (b) 15 (c) 14 (d) 84
  18. 18.If 5x − 9 = 46, what is x? (a) 12 (b) 55 (c) 11 (d) 10
  19. 19.If x/3 + 13 = 20, what is x? (a) 7 (b) 21 (c) 99 (d) 47
  20. 20.If 7x + 26 = 117, what is x? (a) 91 (b) 14 (c) 12 (d) 13
  21. 21.If x/5 + 14 = 18, what is x? (a) 20 (b) 4 (c) 76 (d) 160
  22. 22.If 2x + 3 = 27, what is x? (a) 15 (b) 24 (c) 13 (d) 12
  23. 23.If 4x + 8 = 16, what is x? (a) 8 (b) 2 (c) 6 (d) 3
  24. 24.If 2x + 24 = 40, what is x? (a) 16 (b) 32 (c) 8 (d) 9
  25. 25.If 3x + 2 = 47, what is x? (a) 45 (b) 14 (c) 16 (d) 15
  26. 26.If 5x + 4 = x + 36, what is x? (a) 7 (b) 8 (c) 10 (d) 9
  27. 27.If 9x + 15 = 3x + 51, what is x? (a) 3 (b) 7 (c) 11 (d) 6
  28. 28.If 6x + 7 = 2x + 35, what is x? (a) 7 (b) 8 (c) 9 (d) 6
  29. 29.If 3x + 20 = 29, what is x? (a) 4 (b) 3 (c) 2 (d) 9
  30. 30.If 5x + 9 = 4x + 11, what is x? (a) 3 (b) 2 (c) 4 (d) 20
  31. 31.If 7x + 5 = 2x + 40, what is x? (a) 7 (b) 6 (c) 8 (d) 9
  32. 32.If 8x + 13 = 133, what is x? (a) 15 (b) 120 (c) 16 (d) 14
  33. 33.If x/2 + 4 = 8, what is x? (a) 24 (b) 4 (c) 12 (d) 8
  34. 34.If 2x − 5 = 13, what is x? (a) 9 (b) 4 (c) 10 (d) 18
  35. 35.If 4x + 23 = 51, what is x? (a) 6 (b) 8 (c) 28 (d) 7
  36. 36.If 5x + 9 = 19, what is x? (a) 1 (b) 2 (c) 3 (d) 10
  37. 37.If x/4 + 2 = 9, what is x? (a) 34 (b) 44 (c) 28 (d) 7
  38. 38.If 9x − 15 = 21, what is x? (a) 36 (b) 3 (c) 4 (d) 5
  39. 39.If 8x + 7 = 2x + 79, what is x? (a) 13 (b) 12 (c) 14 (d) 11
  40. 40.If x/3 + 3 = 5, what is x? (a) 2 (b) 12 (c) 6 (d) 24

Answer key

  1. 8
  2. 6
  3. 11
  4. 9
  5. 45
  6. 33
  7. 3
  8. 14
  9. 4
  10. 32
  11. 2
  12. 14
  13. 14
  14. 13
  15. 3
  16. 4
  17. 14
  18. 11
  19. 21
  20. 13
  21. 20
  22. 12
  23. 2
  24. 8
  25. 15
  26. 8
  27. 6
  28. 7
  29. 3
  30. 2
  31. 7
  32. 15
  33. 8
  34. 9
  35. 7
  36. 2
  37. 28
  38. 4
  39. 12
  40. 6

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