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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 25 · 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 + 7 = 70, what is x? (a) 10 (b) 11 (c) 63 (d) 9
  2. 2.If x/6 + 9 = 17, what is x? (a) 8 (b) 93 (c) 48 (d) 156
  3. 3.If 8x + 2 = 2x + 68, what is x? (a) 10 (b) 12 (c) 13 (d) 11
  4. 4.If x/5 + 2 = 9, what is x? (a) 43 (b) 35 (c) 7 (d) 55
  5. 5.If x/4 + 8 = 12, what is x? (a) 16 (b) 4 (c) 80 (d) 40
  6. 6.If 9x + 30 = 93, what is x? (a) 8 (b) 63 (c) 7 (d) 6
  7. 7.If 9x + 11 = 3x + 59, what is x? (a) 4 (b) 8 (c) 9 (d) 10
  8. 8.If 3x + 23 = 41, what is x? (a) 6 (b) 18 (c) 7 (d) 5
  9. 9.If 8x + 18 = 3x + 28, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  10. 10.If x/3 + 15 = 21, what is x? (a) 6 (b) 108 (c) 48 (d) 18
  11. 11.If x/2 + 10 = 13, what is x? (a) 46 (b) 6 (c) 16 (d) 3
  12. 12.If x/3 + 10 = 14, what is x? (a) 12 (b) 72 (c) 32 (d) 4
  13. 13.If x/5 + 12 = 17, what is x? (a) 5 (b) 145 (c) 73 (d) 25
  14. 14.If 8x − 14 = 34, what is x? (a) 6 (b) 48 (c) 5 (d) 7
  15. 15.If x/3 + 3 = 6, what is x? (a) 27 (b) 15 (c) 9 (d) 3
  16. 16.If 3x − 1 = 5, what is x? (a) 3 (b) 6 (c) 1 (d) 2
  17. 17.If 2x + 1 = 31, what is x? (a) 15 (b) 16 (c) 14 (d) 30
  18. 18.If x/4 + 13 = 15, what is x? (a) 112 (b) 47 (c) 2 (d) 8
  19. 19.If x/5 + 2 = 4, what is x? (a) 10 (b) 30 (c) 2 (d) 18
  20. 20.If x/3 + 8 = 12, what is x? (a) 4 (b) 60 (c) 12 (d) 28
  21. 21.If 7x + 20 = 2x + 80, what is x? (a) 14 (b) 20 (c) 12 (d) 13
  22. 22.If x/6 + 7 = 11, what is x? (a) 4 (b) 108 (c) 59 (d) 24
  23. 23.If 2x + 2 = 8, what is x? (a) 6 (b) 4 (c) 5 (d) 3
  24. 24.If 2x + 5 = 27, what is x? (a) 16 (b) 22 (c) 11 (d) 12
  25. 25.If 8x + 12 = 28, what is x? (a) 3 (b) 2 (c) 16 (d) 5
  26. 26.If 8x + 28 = 84, what is x? (a) 56 (b) 14 (c) 8 (d) 7
  27. 27.If 4x + 14 = 3x + 19, what is x? (a) 7 (b) 33 (c) 5 (d) 6
  28. 28.If 6x + 21 = 51, what is x? (a) 12 (b) 30 (c) 6 (d) 5
  29. 29.If x/2 + 12 = 16, what is x? (a) 20 (b) 8 (c) 56 (d) 4
  30. 30.If 7x + 4 = 46, what is x? (a) 6 (b) 42 (c) 5 (d) 7
  31. 31.If 3x + 2 = x + 18, what is x? (a) 10 (b) 8 (c) 9 (d) 4
  32. 32.If x/4 + 4 = 11, what is x? (a) 60 (b) 40 (c) 7 (d) 28
  33. 33.If 8x + 23 = 71, what is x? (a) 5 (b) 7 (c) 6 (d) 48
  34. 34.If x/4 + 3 = 10, what is x? (a) 28 (b) 37 (c) 7 (d) 52
  35. 35.If x/2 + 13 = 23, what is x? (a) 10 (b) 72 (c) 20 (d) 33
  36. 36.If 8x + 17 = 97, what is x? (a) 11 (b) 9 (c) 10 (d) 80
  37. 37.If 9x + 30 = 138, what is x? (a) 13 (b) 12 (c) 108 (d) 11
  38. 38.If 6x − 13 = 11, what is x? (a) 24 (b) 5 (c) 3 (d) 4
  39. 39.If 2x − 19 = 9, what is x? (a) 15 (b) 28 (c) 14 (d) 13
  40. 40.If 4x + 20 = 52, what is x? (a) 8 (b) 18 (c) 32 (d) 9

Answer key

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

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