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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 33 · 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 5x + 7 = 42, what is x? (a) 8 (b) 6 (c) 35 (d) 7
  2. 2.If x/4 + 4 = 16, what is x? (a) 12 (b) 48 (c) 80 (d) 60
  3. 3.If 2x − 3 = 1, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  4. 4.If 7x − 27 = 71, what is x? (a) 15 (b) 14 (c) 13 (d) 98
  5. 5.If 2x + 16 = 24, what is x? (a) 4 (b) 8 (c) 5 (d) 20
  6. 6.If 8x + 6 = 3x + 16, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  7. 7.If 2x + 4 = 26, what is x? (a) 11 (b) 12 (c) 22 (d) 15
  8. 8.If 7x − 41 = 64, what is x? (a) 16 (b) 14 (c) 15 (d) 105
  9. 9.If 2x + 17 = 35, what is x? (a) 10 (b) 26 (c) 18 (d) 9
  10. 10.If 7x − 2 = 33, what is x? (a) 35 (b) 5 (c) 6 (d) 4
  11. 11.If 4x − 10 = 50, what is x? (a) 10 (b) 60 (c) 16 (d) 15
  12. 12.If 6x + 18 = 108, what is x? (a) 21 (b) 90 (c) 16 (d) 15
  13. 13.If 5x − 13 = 2, what is x? (a) 2 (b) 15 (c) 4 (d) 3
  14. 14.If 4x + 22 = 82, what is x? (a) 15 (b) 16 (c) 26 (d) 60
  15. 15.If 2x − 6 = 2, what is x? (a) 4 (b) 8 (c) 3 (d) 5
  16. 16.If 5x + 1 = 51, what is x? (a) 9 (b) 11 (c) 50 (d) 10
  17. 17.If x/2 + 13 = 22, what is x? (a) 70 (b) 9 (c) 31 (d) 18
  18. 18.If 6x + 10 = 100, what is x? (a) 15 (b) 14 (c) 90 (d) 16
  19. 19.If x/3 + 5 = 15, what is x? (a) 30 (b) 10 (c) 40 (d) 60
  20. 20.If 8x − 12 = 4, what is x? (a) 2 (b) 16 (c) 3 (d) 1
  21. 21.If x/6 + 2 = 8, what is x? (a) 6 (b) 46 (c) 60 (d) 36
  22. 22.If 6x − 25 = 47, what is x? (a) 72 (b) 11 (c) 13 (d) 12
  23. 23.If 4x + 19 = x + 28, what is x? (a) 5 (b) 3 (c) 2 (d) 4
  24. 24.If 5x + 26 = 91, what is x? (a) 13 (b) 12 (c) 65 (d) 14
  25. 25.If 4x + 13 = x + 46, what is x? (a) 13 (b) 10 (c) 11 (d) 12
  26. 26.If 2x − 9 = 5, what is x? (a) 7 (b) 8 (c) 6 (d) 14
  27. 27.If 7x − 8 = 20, what is x? (a) 28 (b) 4 (c) 5 (d) 3
  28. 28.If 2x + 28 = 46, what is x? (a) 9 (b) 18 (c) 37 (d) 10
  29. 29.If 3x − 3 = 6, what is x? (a) 9 (b) 3 (c) 4 (d) 1
  30. 30.If x/5 + 10 = 16, what is x? (a) 6 (b) 130 (c) 70 (d) 30
  31. 31.If 9x + 9 = 6x + 33, what is x? (a) 8 (b) 10 (c) 9 (d) 14
  32. 32.If 6x + 11 = 2x + 47, what is x? (a) 8 (b) 9 (c) 11 (d) 10
  33. 33.If 2x − 26 = 4, what is x? (a) 30 (b) 14 (c) 15 (d) 16
  34. 34.If x/2 + 9 = 12, what is x? (a) 15 (b) 3 (c) 42 (d) 6
  35. 35.If 7x + 7 = 6x + 16, what is x? (a) 10 (b) 23 (c) 9 (d) 11
  36. 36.If 8x + 7 = 23, what is x? (a) 16 (b) 1 (c) 3 (d) 2
  37. 37.If 5x − 15 = 25, what is x? (a) 2 (b) 9 (c) 8 (d) 40
  38. 38.If 9x − 120 = 15, what is x? (a) 15 (b) 16 (c) 14 (d) 135
  39. 39.If 6x − 33 = 15, what is x? (a) 48 (b) 8 (c) 7 (d) 9
  40. 40.If x/5 + 4 = 8, what is x? (a) 36 (b) 20 (c) 60 (d) 4

Answer key

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

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