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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 429 · 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 − 21 = 14, what is x? (a) 4 (b) 6 (c) 5 (d) 35
  2. 2.If 7x + 6 = 2x + 46, what is x? (a) 10 (b) 7 (c) 9 (d) 8
  3. 3.If 8x − 90 = 14, what is x? (a) 13 (b) 12 (c) 14 (d) 104
  4. 4.If 7x + 12 = 2x + 22, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  5. 5.If x/2 + 5 = 8, what is x? (a) 26 (b) 3 (c) 11 (d) 6
  6. 6.If 5x + 8 = 2x + 41, what is x? (a) 10 (b) 11 (c) 12 (d) 13
  7. 7.If x/5 + 7 = 14, what is x? (a) 63 (b) 105 (c) 35 (d) 7
  8. 8.If x/3 + 14 = 19, what is x? (a) 5 (b) 15 (c) 43 (d) 99
  9. 9.If x/2 + 3 = 5, what is x? (a) 2 (b) 4 (c) 7 (d) 16
  10. 10.If 7x − 4 = 73, what is x? (a) 77 (b) 12 (c) 11 (d) 10
  11. 11.If 8x + 5 = 37, what is x? (a) 4 (b) 5 (c) 3 (d) 32
  12. 12.If 7x + 15 = 92, what is x? (a) 12 (b) 77 (c) 10 (d) 11
  13. 13.If x/6 + 1 = 13, what is x? (a) 84 (b) 77 (c) 12 (d) 72
  14. 14.If 8x + 5 = 6x + 19, what is x? (a) 8 (b) 1 (c) 12 (d) 7
  15. 15.If x/4 + 8 = 12, what is x? (a) 4 (b) 80 (c) 16 (d) 40
  16. 16.If x/2 + 9 = 20, what is x? (a) 31 (b) 11 (c) 22 (d) 58
  17. 17.If 6x − 12 = 30, what is x? (a) 3 (b) 42 (c) 8 (d) 7
  18. 18.If 6x + 23 = 41, what is x? (a) 2 (b) 4 (c) 3 (d) 18
  19. 19.If 5x + 15 = 30, what is x? (a) 9 (b) 3 (c) 4 (d) 15
  20. 20.If 6x + 19 = 67, what is x? (a) 8 (b) 48 (c) 7 (d) 9
  21. 21.If x/2 + 1 = 5, what is x? (a) 8 (b) 4 (c) 12 (d) 9
  22. 22.If 9x + 2 = 47, what is x? (a) 45 (b) 5 (c) 4 (d) 6
  23. 23.If 5x + 19 = 4x + 21, what is x? (a) 4 (b) 2 (c) 40 (d) 3
  24. 24.If 5x + 18 = 43, what is x? (a) 6 (b) 4 (c) 5 (d) 25
  25. 25.If 2x + 3 = 25, what is x? (a) 22 (b) 11 (c) 12 (d) 14
  26. 26.If 8x − 4 = 28, what is x? (a) 3 (b) 32 (c) 5 (d) 4
  27. 27.If 7x + 17 = x + 89, what is x? (a) 13 (b) 14 (c) 12 (d) 9
  28. 28.If x/3 + 1 = 9, what is x? (a) 8 (b) 30 (c) 24 (d) 26
  29. 29.If x/4 + 9 = 13, what is x? (a) 4 (b) 88 (c) 16 (d) 43
  30. 30.If 8x + 10 = 58, what is x? (a) 7 (b) 48 (c) 5 (d) 6
  31. 31.If x/2 + 14 = 22, what is x? (a) 8 (b) 72 (c) 30 (d) 16
  32. 32.If x/5 + 3 = 5, what is x? (a) 10 (b) 40 (c) 22 (d) 2
  33. 33.If 3x + 12 = 2x + 16, what is x? (a) 5 (b) 28 (c) 4 (d) 6
  34. 34.If 9x + 15 = 96, what is x? (a) 81 (b) 8 (c) 9 (d) 10
  35. 35.If 6x − 61 = 23, what is x? (a) 13 (b) 14 (c) 15 (d) 84
  36. 36.If x/2 + 15 = 20, what is x? (a) 25 (b) 70 (c) 10 (d) 5
  37. 37.If 3x − 15 = 3, what is x? (a) 18 (b) 7 (c) 6 (d) 5
  38. 38.If 2x − 8 = 4, what is x? (a) 7 (b) 5 (c) 6 (d) 12
  39. 39.If x/2 + 3 = 8, what is x? (a) 13 (b) 5 (c) 10 (d) 22
  40. 40.If 5x + 8 = 3x + 12, what is x? (a) 2 (b) 4 (c) 10 (d) 3

Answer key

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

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