Create a Quiz. The academic subject for which the text must be created - Mathematics. Content must be appropriate for Year or Grade 11. Requ...
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Which subjectMathematics
What age groupYear or Grade 11
What topicAlgebraic fractions
Question typesClose-ended
Number of questions10
Number of answers4
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Year 11 Mathematics Quiz: Algebraic Fractions

Instructions:

Please read each question carefully and select the correct answer from the options provided. Each question has only one correct answer. Circle the letter corresponding to your chosen answer.

Questions:

  1. Simplify the expression ( \frac{6x^2 + 9x}{3x} ).

    • A. ( 2x + 3 )
    • B. ( 3x + 2 )
    • C. ( 2x^2 + 3x )
    • D. ( 3x^2 + 2 )
  2. What is the value of ( x ) in the equation ( \frac{x + 2}{x - 3} = 5 )?

    • A. ( 13 )
    • B. ( 8 )
    • C. ( -8 )
    • D. ( 3 )
  3. Which of the following is the correct result when simplifying ( \frac{2x^2 - 8}{2x} )?

    • A. ( x - 4 )
    • B. ( x - 2 )
    • C. ( x + 4 )
    • D. ( x + 2 )
  4. Find the value of ( x ) for the equation ( \frac{3}{x} + \frac{2}{x + 1} = 1 ).

    • A. ( 1 )
    • B. ( -3 )
    • C. ( 2 )
    • D. ( 0 )
  5. If ( a = 4 ), evaluate ( \frac{a^2 - 16}{a - 4} ).

    • A. ( 0 )
    • B. ( 8 )
    • C. ( 4 )
    • D. ( 2 )
  6. Simplify the expression ( \frac{4x^2 - 12x}{2x} ).

    • A. ( 2x - 6 )
    • B. ( 2x + 6 )
    • C. ( 2x - 4 )
    • D. ( 6x - 2 )
  7. Which of the following is the result of ( \frac{x^2 - 1}{x + 1} )?

    • A. ( x - 1 )
    • B. ( x + 1 )
    • C. ( 1 - x )
    • D. ( 1 + x )
  8. What is the least common denominator (LCD) of the fractions ( \frac{2}{x} ) and ( \frac{3}{x^2} )?

    • A. ( 2x^2 )
    • B. ( 3x^2 )
    • C. ( x^2 )
    • D. ( 6x^2 )
  9. Simplify ( \frac{x^2 - 4}{x^2 + 4x + 4} ).

    • A. ( \frac{1}{x + 2} )
    • B. ( \frac{1}{x - 2} )
    • C. ( \frac{1}{x + 1} )
    • D. ( \frac{x - 2}{x + 2} )
  10. Solve for ( x ) in the equation ( \frac{x + 5}{x - 2} = \frac{3}{2} ).

    • A. ( 1 )
    • B. ( 4 )
    • C. ( -4 )
    • D. ( -1 )

End of Quiz

Good luck!