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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 214 · 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 6x + 7 = 19, what is x? (a) 3 (b) 1 (c) 12 (d) 2
  2. 2.If x/4 + 13 = 17, what is x? (a) 55 (b) 120 (c) 4 (d) 16
  3. 3.If 4x + 21 = 49, what is x? (a) 28 (b) 6 (c) 8 (d) 7
  4. 4.If 5x + 20 = x + 52, what is x? (a) 18 (b) 9 (c) 8 (d) 10
  5. 5.If 6x + 4 = 58, what is x? (a) 54 (b) 10 (c) 9 (d) 8
  6. 6.If 9x + 23 = 41, what is x? (a) 18 (b) 3 (c) 1 (d) 2
  7. 7.If 6x − 5 = 13, what is x? (a) 18 (b) 2 (c) 4 (d) 3
  8. 8.If 6x + 18 = 102, what is x? (a) 20 (b) 15 (c) 84 (d) 14
  9. 9.If x/2 + 13 = 24, what is x? (a) 35 (b) 11 (c) 74 (d) 22
  10. 10.If x/4 + 11 = 14, what is x? (a) 100 (b) 45 (c) 3 (d) 12
  11. 11.If 8x − 49 = 39, what is x? (a) 88 (b) 12 (c) 10 (d) 11
  12. 12.If 5x − 21 = 9, what is x? (a) 5 (b) 7 (c) 30 (d) 6
  13. 13.If 3x + 7 = 25, what is x? (a) 18 (b) 5 (c) 7 (d) 6
  14. 14.If x/5 + 11 = 15, what is x? (a) 20 (b) 4 (c) 130 (d) 64
  15. 15.If 3x − 5 = 31, what is x? (a) 13 (b) 12 (c) 36 (d) 11
  16. 16.If 7x + 20 = 55, what is x? (a) 35 (b) 6 (c) 4 (d) 5
  17. 17.If x/6 + 10 = 22, what is x? (a) 122 (b) 72 (c) 12 (d) 192
  18. 18.If 7x + 4 = 67, what is x? (a) 63 (b) 9 (c) 10 (d) 8
  19. 19.If 7x + 26 = 124, what is x? (a) 98 (b) 13 (c) 14 (d) 15
  20. 20.If 8x + 16 = 104, what is x? (a) 88 (b) 12 (c) 11 (d) 15
  21. 21.If x/3 + 8 = 13, what is x? (a) 63 (b) 31 (c) 5 (d) 15
  22. 22.If 2x + 26 = 52, what is x? (a) 39 (b) 26 (c) 14 (d) 13
  23. 23.If 2x − 3 = 3, what is x? (a) 4 (b) 3 (c) 6 (d) 2
  24. 24.If 3x + 12 = 2x + 21, what is x? (a) 11 (b) 9 (c) 33 (d) 10
  25. 25.If x/3 + 6 = 17, what is x? (a) 69 (b) 45 (c) 33 (d) 11
  26. 26.If 3x − 28 = 11, what is x? (a) 14 (b) 13 (c) 12 (d) 39
  27. 27.If 7x − 2 = 12, what is x? (a) 14 (b) 3 (c) 1 (d) 2
  28. 28.If 3x − 8 = 7, what is x? (a) 5 (b) 4 (c) 15 (d) 6
  29. 29.If 8x + 18 = 2x + 42, what is x? (a) 4 (b) 10 (c) 5 (d) 6
  30. 30.If 5x + 13 = 4x + 23, what is x? (a) 36 (b) 12 (c) 11 (d) 10
  31. 31.If x/2 + 14 = 23, what is x? (a) 18 (b) 74 (c) 9 (d) 32
  32. 32.If x/2 + 15 = 22, what is x? (a) 29 (b) 14 (c) 74 (d) 7
  33. 33.If 4x − 17 = 19, what is x? (a) 36 (b) 9 (c) 10 (d) 8
  34. 34.If 5x + 5 = 3x + 21, what is x? (a) 13 (b) 9 (c) 8 (d) 2
  35. 35.If 2x + 6 = 30, what is x? (a) 13 (b) 18 (c) 12 (d) 24
  36. 36.If 8x + 5 = 93, what is x? (a) 10 (b) 88 (c) 11 (d) 12
  37. 37.If 7x − 12 = 51, what is x? (a) 10 (b) 63 (c) 8 (d) 9
  38. 38.If 6x + 7 = 2x + 31, what is x? (a) 8 (b) 6 (c) 7 (d) 3
  39. 39.If 4x − 4 = 8, what is x? (a) 4 (b) 1 (c) 3 (d) 12
  40. 40.If x/5 + 5 = 16, what is x? (a) 11 (b) 75 (c) 55 (d) 105

Answer key

  1. 2
  2. 16
  3. 7
  4. 8
  5. 9
  6. 2
  7. 3
  8. 14
  9. 22
  10. 12
  11. 11
  12. 6
  13. 6
  14. 20
  15. 12
  16. 5
  17. 72
  18. 9
  19. 14
  20. 11
  21. 15
  22. 13
  23. 3
  24. 9
  25. 33
  26. 13
  27. 2
  28. 5
  29. 4
  30. 10
  31. 18
  32. 14
  33. 9
  34. 8
  35. 12
  36. 11
  37. 9
  38. 6
  39. 3
  40. 55

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