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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 95 · 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 4x − 19 = 17, what is x? (a) 9 (b) 8 (c) 10 (d) 36
  2. 2.If 7x + 10 = 24, what is x? (a) 1 (b) 3 (c) 2 (d) 14
  3. 3.If 3x + 21 = 57, what is x? (a) 13 (b) 12 (c) 36 (d) 26
  4. 4.If x/4 + 14 = 19, what is x? (a) 62 (b) 20 (c) 132 (d) 5
  5. 5.If 3x + 7 = x + 23, what is x? (a) 4 (b) 8 (c) 9 (d) 15
  6. 6.If x/5 + 12 = 18, what is x? (a) 78 (b) 150 (c) 6 (d) 30
  7. 7.If 7x + 22 = 113, what is x? (a) 14 (b) 12 (c) 13 (d) 91
  8. 8.If x/4 + 12 = 19, what is x? (a) 124 (b) 64 (c) 28 (d) 7
  9. 9.If 4x + 16 = 2x + 38, what is x? (a) 11 (b) 27 (c) 12 (d) 13
  10. 10.If x/2 + 2 = 12, what is x? (a) 28 (b) 10 (c) 22 (d) 20
  11. 11.If 7x + 17 = 66, what is x? (a) 8 (b) 49 (c) 7 (d) 6
  12. 12.If 3x − 6 = 12, what is x? (a) 7 (b) 18 (c) 6 (d) 2
  13. 13.If 8x − 19 = 37, what is x? (a) 8 (b) 56 (c) 7 (d) 6
  14. 14.If 5x − 19 = 1, what is x? (a) 20 (b) 5 (c) 3 (d) 4
  15. 15.If 6x + 6 = 30, what is x? (a) 5 (b) 24 (c) 4 (d) 6
  16. 16.If 9x − 13 = 122, what is x? (a) 135 (b) 14 (c) 16 (d) 15
  17. 17.If 5x + 11 = 31, what is x? (a) 4 (b) 20 (c) 5 (d) 3
  18. 18.If 4x + 19 = 39, what is x? (a) 4 (b) 20 (c) 5 (d) 6
  19. 19.If 5x + 13 = 3x + 21, what is x? (a) 4 (b) 1 (c) 17 (d) 5
  20. 20.If 6x − 51 = 21, what is x? (a) 72 (b) 11 (c) 12 (d) 13
  21. 21.If 8x + 5 = 5x + 26, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  22. 22.If 2x + 19 = 49, what is x? (a) 34 (b) 16 (c) 15 (d) 30
  23. 23.If 9x − 15 = 75, what is x? (a) 90 (b) 11 (c) 10 (d) 9
  24. 24.If 4x + 18 = x + 27, what is x? (a) 5 (b) 4 (c) 15 (d) 3
  25. 25.If x/2 + 1 = 7, what is x? (a) 13 (b) 12 (c) 6 (d) 16
  26. 26.If x/4 + 4 = 9, what is x? (a) 32 (b) 20 (c) 5 (d) 52
  27. 27.If 7x + 29 = 120, what is x? (a) 13 (b) 91 (c) 14 (d) 12
  28. 28.If 8x + 15 = 47, what is x? (a) 32 (b) 3 (c) 4 (d) 5
  29. 29.If 6x − 5 = 7, what is x? (a) 12 (b) 3 (c) 2 (d) 1
  30. 30.If 3x + 21 = 66, what is x? (a) 16 (b) 45 (c) 29 (d) 15
  31. 31.If x/4 + 11 = 22, what is x? (a) 77 (b) 44 (c) 11 (d) 132
  32. 32.If 8x + 29 = 69, what is x? (a) 40 (b) 5 (c) 6 (d) 4
  33. 33.If 3x + 16 = 43, what is x? (a) 27 (b) 10 (c) 9 (d) 8
  34. 34.If 3x + 30 = 72, what is x? (a) 15 (b) 34 (c) 14 (d) 42
  35. 35.If 3x + 7 = 16, what is x? (a) 4 (b) 2 (c) 3 (d) 9
  36. 36.If 4x + 25 = 69, what is x? (a) 12 (b) 10 (c) 44 (d) 11
  37. 37.If x/2 + 5 = 12, what is x? (a) 34 (b) 19 (c) 7 (d) 14
  38. 38.If x/6 + 14 = 19, what is x? (a) 30 (b) 198 (c) 5 (d) 100
  39. 39.If x/3 + 2 = 6, what is x? (a) 24 (b) 16 (c) 4 (d) 12
  40. 40.If 7x + 26 = 68, what is x? (a) 5 (b) 42 (c) 6 (d) 7

Answer key

  1. 9
  2. 2
  3. 12
  4. 20
  5. 8
  6. 30
  7. 13
  8. 28
  9. 11
  10. 20
  11. 7
  12. 6
  13. 7
  14. 4
  15. 4
  16. 15
  17. 4
  18. 5
  19. 4
  20. 12
  21. 7
  22. 15
  23. 10
  24. 3
  25. 12
  26. 20
  27. 13
  28. 4
  29. 2
  30. 15
  31. 44
  32. 5
  33. 9
  34. 14
  35. 3
  36. 11
  37. 14
  38. 30
  39. 12
  40. 6

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