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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 704 · 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 + 2 = 14, what is x? (a) 7 (b) 12 (c) 6 (d) 8
  2. 2.If x/6 + 10 = 19, what is x? (a) 104 (b) 9 (c) 54 (d) 174
  3. 3.If x/5 + 1 = 7, what is x? (a) 40 (b) 30 (c) 34 (d) 6
  4. 4.If x/5 + 2 = 6, what is x? (a) 20 (b) 28 (c) 40 (d) 4
  5. 5.If 2x + 1 = 7, what is x? (a) 4 (b) 3 (c) 6 (d) 2
  6. 6.If 3x + 29 = 62, what is x? (a) 33 (b) 11 (c) 10 (d) 12
  7. 7.If x/5 + 13 = 22, what is x? (a) 97 (b) 45 (c) 175 (d) 9
  8. 8.If 3x + 4 = 16, what is x? (a) 4 (b) 12 (c) 5 (d) 3
  9. 9.If 3x + 20 = x + 32, what is x? (a) 3 (b) 26 (c) 6 (d) 7
  10. 10.If 9x − 10 = 53, what is x? (a) 63 (b) 6 (c) 7 (d) 8
  11. 11.If 4x − 9 = 47, what is x? (a) 56 (b) 13 (c) 15 (d) 14
  12. 12.If x/6 + 12 = 17, what is x? (a) 5 (b) 90 (c) 174 (d) 30
  13. 13.If 5x + 18 = x + 42, what is x? (a) 4 (b) 7 (c) 15 (d) 6
  14. 14.If 5x + 11 = 61, what is x? (a) 9 (b) 11 (c) 10 (d) 50
  15. 15.If 6x + 20 = 56, what is x? (a) 36 (b) 7 (c) 5 (d) 6
  16. 16.If 9x + 11 = 74, what is x? (a) 6 (b) 63 (c) 7 (d) 8
  17. 17.If 9x + 2 = 2x + 79, what is x? (a) 12 (b) 7 (c) 11 (d) 13
  18. 18.If 8x − 9 = 15, what is x? (a) 2 (b) 24 (c) 4 (d) 3
  19. 19.If 4x + 21 = 49, what is x? (a) 7 (b) 28 (c) 6 (d) 8
  20. 20.If 3x + 2 = x + 16, what is x? (a) 8 (b) 6 (c) 7 (d) 9
  21. 21.If 4x − 6 = 46, what is x? (a) 52 (b) 13 (c) 14 (d) 10
  22. 22.If x/4 + 13 = 17, what is x? (a) 120 (b) 16 (c) 55 (d) 4
  23. 23.If 5x + 4 = 4x + 5, what is x? (a) 3 (b) 9 (c) 2 (d) 1
  24. 24.If 9x + 4 = 8x + 6, what is x? (a) 3 (b) 4 (c) 10 (d) 2
  25. 25.If x/3 + 10 = 20, what is x? (a) 10 (b) 90 (c) 50 (d) 30
  26. 26.If x/6 + 5 = 16, what is x? (a) 126 (b) 11 (c) 91 (d) 66
  27. 27.If 7x + 16 = 4x + 19, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  28. 28.If 7x + 1 = 6x + 12, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  29. 29.If x/2 + 3 = 11, what is x? (a) 8 (b) 19 (c) 28 (d) 16
  30. 30.If 7x − 15 = 6, what is x? (a) 2 (b) 4 (c) 3 (d) 21
  31. 31.If 4x + 29 = 77, what is x? (a) 11 (b) 48 (c) 12 (d) 13
  32. 32.If 2x + 27 = 45, what is x? (a) 10 (b) 9 (c) 36 (d) 18
  33. 33.If 5x + 13 = 68, what is x? (a) 12 (b) 55 (c) 10 (d) 11
  34. 34.If 3x − 3 = 12, what is x? (a) 15 (b) 3 (c) 5 (d) 6
  35. 35.If 9x + 16 = 88, what is x? (a) 72 (b) 8 (c) 9 (d) 7
  36. 36.If 6x + 24 = 108, what is x? (a) 22 (b) 15 (c) 14 (d) 84
  37. 37.If 2x + 24 = 52, what is x? (a) 28 (b) 14 (c) 15 (d) 38
  38. 38.If x/4 + 1 = 6, what is x? (a) 23 (b) 5 (c) 20 (d) 28
  39. 39.If 4x − 31 = 13, what is x? (a) 44 (b) 11 (c) 10 (d) 12
  40. 40.If 4x − 6 = 30, what is x? (a) 10 (b) 36 (c) 6 (d) 9

Answer key

  1. 6
  2. 54
  3. 30
  4. 20
  5. 3
  6. 11
  7. 45
  8. 4
  9. 6
  10. 7
  11. 14
  12. 30
  13. 6
  14. 10
  15. 6
  16. 7
  17. 11
  18. 3
  19. 7
  20. 7
  21. 13
  22. 16
  23. 1
  24. 2
  25. 30
  26. 66
  27. 1
  28. 11
  29. 16
  30. 3
  31. 12
  32. 9
  33. 11
  34. 5
  35. 8
  36. 14
  37. 14
  38. 20
  39. 11
  40. 9

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