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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 675 · 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 2x + 10 = 28, what is x? (a) 18 (b) 19 (c) 10 (d) 9
  2. 2.If 5x + 5 = 20, what is x? (a) 5 (b) 3 (c) 4 (d) 15
  3. 3.If 7x + 29 = 43, what is x? (a) 1 (b) 3 (c) 14 (d) 2
  4. 4.If 5x + 15 = x + 19, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  5. 5.If 7x + 10 = 3x + 42, what is x? (a) 8 (b) 9 (c) 13 (d) 10
  6. 6.If 8x + 11 = 2x + 35, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  7. 7.If 3x + 13 = x + 17, what is x? (a) 1 (b) 2 (c) 15 (d) 3
  8. 8.If 7x + 14 = 3x + 62, what is x? (a) 19 (b) 14 (c) 12 (d) 13
  9. 9.If 3x + 13 = x + 29, what is x? (a) 9 (b) 8 (c) 4 (d) 21
  10. 10.If 5x + 17 = 2x + 23, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  11. 11.If 9x + 17 = 6x + 23, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  12. 12.If 9x + 19 = 2x + 68, what is x? (a) 7 (b) 8 (c) 6 (d) 9
  13. 13.If 9x − 13 = 23, what is x? (a) 36 (b) 3 (c) 4 (d) 5
  14. 14.If x/3 + 13 = 16, what is x? (a) 87 (b) 3 (c) 9 (d) 35
  15. 15.If 8x + 3 = 107, what is x? (a) 14 (b) 12 (c) 13 (d) 104
  16. 16.If 6x + 7 = 97, what is x? (a) 90 (b) 16 (c) 15 (d) 14
  17. 17.If 7x − 10 = 32, what is x? (a) 42 (b) 5 (c) 7 (d) 6
  18. 18.If 5x − 34 = 31, what is x? (a) 12 (b) 13 (c) 65 (d) 14
  19. 19.If 6x + 19 = 5x + 28, what is x? (a) 11 (b) 10 (c) 47 (d) 9
  20. 20.If 5x + 17 = 72, what is x? (a) 10 (b) 11 (c) 12 (d) 55
  21. 21.If x/5 + 3 = 14, what is x? (a) 67 (b) 55 (c) 11 (d) 85
  22. 22.If 9x + 9 = 135, what is x? (a) 16 (b) 126 (c) 14 (d) 15
  23. 23.If 2x + 20 = 32, what is x? (a) 7 (b) 12 (c) 6 (d) 26
  24. 24.If 9x + 12 = 2x + 33, what is x? (a) 3 (b) 4 (c) 5 (d) 2
  25. 25.If 8x + 5 = 101, what is x? (a) 11 (b) 96 (c) 12 (d) 13
  26. 26.If 3x + 19 = 40, what is x? (a) 7 (b) 21 (c) 8 (d) 6
  27. 27.If 8x − 29 = 3, what is x? (a) 32 (b) 5 (c) 3 (d) 4
  28. 28.If 7x + 2 = 2x + 27, what is x? (a) 4 (b) 7 (c) 6 (d) 5
  29. 29.If x/4 + 2 = 6, what is x? (a) 4 (b) 16 (c) 22 (d) 32
  30. 30.If x/4 + 8 = 16, what is x? (a) 96 (b) 8 (c) 56 (d) 32
  31. 31.If x/3 + 3 = 15, what is x? (a) 12 (b) 54 (c) 36 (d) 42
  32. 32.If x/4 + 14 = 22, what is x? (a) 32 (b) 144 (c) 74 (d) 8
  33. 33.If x/5 + 9 = 13, what is x? (a) 56 (b) 110 (c) 20 (d) 4
  34. 34.If 4x + 8 = 3x + 16, what is x? (a) 24 (b) 8 (c) 10 (d) 9
  35. 35.If 7x + 12 = 3x + 16, what is x? (a) 7 (b) 2 (c) 3 (d) 1
  36. 36.If 5x − 36 = 14, what is x? (a) 11 (b) 50 (c) 10 (d) 9
  37. 37.If x/3 + 12 = 19, what is x? (a) 45 (b) 7 (c) 21 (d) 93
  38. 38.If 9x + 9 = 126, what is x? (a) 14 (b) 15 (c) 13 (d) 117
  39. 39.If 8x + 15 = 2x + 27, what is x? (a) 4 (b) 2 (c) 3 (d) 7
  40. 40.If 7x + 17 = 3x + 49, what is x? (a) 10 (b) 9 (c) 7 (d) 8

Answer key

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

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