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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 32 · 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 + 30 = 78, what is x? (a) 27 (b) 12 (c) 48 (d) 13
  2. 2.If 5x − 13 = 7, what is x? (a) 20 (b) 3 (c) 5 (d) 4
  3. 3.If 5x + 10 = 50, what is x? (a) 9 (b) 40 (c) 12 (d) 8
  4. 4.If 6x + 8 = 92, what is x? (a) 15 (b) 13 (c) 14 (d) 84
  5. 5.If x/2 + 10 = 21, what is x? (a) 22 (b) 62 (c) 11 (d) 32
  6. 6.If 9x + 15 = 78, what is x? (a) 8 (b) 7 (c) 63 (d) 6
  7. 7.If 4x + 2 = 62, what is x? (a) 16 (b) 15 (c) 60 (d) 14
  8. 8.If 2x − 8 = 2, what is x? (a) 10 (b) 4 (c) 5 (d) 6
  9. 9.If 2x + 21 = 45, what is x? (a) 33 (b) 13 (c) 12 (d) 24
  10. 10.If x/4 + 7 = 17, what is x? (a) 10 (b) 96 (c) 61 (d) 40
  11. 11.If 8x − 23 = 17, what is x? (a) 4 (b) 5 (c) 40 (d) 6
  12. 12.If 4x − 3 = 9, what is x? (a) 2 (b) 3 (c) 12 (d) 4
  13. 13.If x/2 + 8 = 16, what is x? (a) 8 (b) 48 (c) 24 (d) 16
  14. 14.If 6x + 16 = 100, what is x? (a) 15 (b) 84 (c) 14 (d) 13
  15. 15.If 2x + 27 = 43, what is x? (a) 9 (b) 16 (c) 8 (d) 35
  16. 16.If 5x − 25 = 15, what is x? (a) 7 (b) 40 (c) 8 (d) 9
  17. 17.If 7x + 19 = 4x + 37, what is x? (a) 5 (b) 8 (c) 7 (d) 6
  18. 18.If x/5 + 6 = 13, what is x? (a) 95 (b) 59 (c) 35 (d) 7
  19. 19.If x/5 + 14 = 22, what is x? (a) 40 (b) 8 (c) 96 (d) 180
  20. 20.If 8x − 107 = 5, what is x? (a) 15 (b) 112 (c) 14 (d) 13
  21. 21.If x/6 + 14 = 22, what is x? (a) 48 (b) 216 (c) 8 (d) 118
  22. 22.If 3x − 34 = 8, what is x? (a) 13 (b) 42 (c) 14 (d) 15
  23. 23.If 3x + 14 = 2x + 19, what is x? (a) 33 (b) 1 (c) 6 (d) 5
  24. 24.If 5x + 1 = 3x + 3, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  25. 25.If 2x − 2 = 8, what is x? (a) 5 (b) 3 (c) 6 (d) 10
  26. 26.If 6x + 7 = 37, what is x? (a) 30 (b) 5 (c) 6 (d) 4
  27. 27.If x/4 + 7 = 12, what is x? (a) 76 (b) 5 (c) 41 (d) 20
  28. 28.If 4x + 3 = 43, what is x? (a) 40 (b) 10 (c) 11 (d) 9
  29. 29.If 3x + 16 = x + 30, what is x? (a) 7 (b) 23 (c) 8 (d) 9
  30. 30.If 4x − 6 = 14, what is x? (a) 6 (b) 2 (c) 20 (d) 5
  31. 31.If 9x + 5 = 8x + 12, what is x? (a) 8 (b) 17 (c) 9 (d) 7
  32. 32.If x/5 + 10 = 14, what is x? (a) 120 (b) 4 (c) 60 (d) 20
  33. 33.If 7x + 30 = 72, what is x? (a) 5 (b) 7 (c) 6 (d) 42
  34. 34.If 9x − 13 = 95, what is x? (a) 12 (b) 11 (c) 13 (d) 108
  35. 35.If x/5 + 2 = 7, what is x? (a) 5 (b) 45 (c) 33 (d) 25
  36. 36.If 9x + 10 = 73, what is x? (a) 8 (b) 7 (c) 63 (d) 6
  37. 37.If 9x − 32 = 4, what is x? (a) 5 (b) 3 (c) 36 (d) 4
  38. 38.If 3x + 2 = 8, what is x? (a) 1 (b) 3 (c) 6 (d) 2
  39. 39.If 7x − 51 = 26, what is x? (a) 12 (b) 10 (c) 77 (d) 11
  40. 40.If 3x + 8 = 50, what is x? (a) 14 (b) 13 (c) 42 (d) 15

Answer key

  1. 12
  2. 4
  3. 8
  4. 14
  5. 22
  6. 7
  7. 15
  8. 5
  9. 12
  10. 40
  11. 5
  12. 3
  13. 16
  14. 14
  15. 8
  16. 8
  17. 6
  18. 35
  19. 40
  20. 14
  21. 48
  22. 14
  23. 5
  24. 1
  25. 5
  26. 5
  27. 20
  28. 10
  29. 7
  30. 5
  31. 7
  32. 20
  33. 6
  34. 12
  35. 25
  36. 7
  37. 4
  38. 2
  39. 11
  40. 14

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