Algebra Quiz on Binomial Radicals and Conjugates
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Questions and Answers

What type of quadrilateral has exactly one pair of parallel sides?

  • Rhombus
  • Square
  • Rectangle
  • Trapezoid (correct)
  • In the figure, if $YX = 13$, $LK = 19$, and $ZW = 11x + 3$, what is the length of $ZW$?

  • 25 (correct)
  • 20
  • 50
  • 40
  • Which of the following is the correct radical form of $\frac{3}{4}b$?

  • $\frac{3}{2}\sqrt{b}$
  • $\frac{3}{4}\sqrt{b}$ (correct)
  • $\frac{3}{4}b$
  • $\frac{3}{2}b$
  • Which of the following is the correct simplification of $200$?

    <p>10</p> Signup and view all the answers

    What type of quadrilateral has no pair of parallel sides?

    <p>Trapezium</p> Signup and view all the answers

    According to the first law of radicals, the value of $\sqrt[4]{3}$ is:

    <p>3</p> Signup and view all the answers

    In the given figure, if YX = 13, LK = 19, and ZW = 11x + 3, what is the value of x?

    <p>2</p> Signup and view all the answers

    Which theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length?

    <p>Triangle Midline Theorem</p> Signup and view all the answers

    In a parallelogram BEST, diagonals BS and ET intersect at O. If ES = 18 units, what is the length of the segment BT?

    <p>18 units</p> Signup and view all the answers

    Which of the following is NOT a radical equation?

    <p>x^2 = 5</p> Signup and view all the answers

    Which of the following quadrilaterals does NOT belong to the group: trapezium, trapezoid, parallelogram, and kite?

    <p>Kite</p> Signup and view all the answers

    Simplify the expression: $\sqrt{\frac{6}{27}}$

    <p>$\frac{1}{3}$</p> Signup and view all the answers

    If the diagonals of a rhombus are perpendicular, what is the measure of each angle?

    <p>90°</p> Signup and view all the answers

    Simplify: $(4x^2 + 12x + 9)^{1/2}$

    <p>$2x + 3$</p> Signup and view all the answers

    If the length of one diagonal of a rhombus is 10 units and the length of the other diagonal is 24 units, what is the area of the rhombus?

    <p>120 sq units</p> Signup and view all the answers

    Solve for x: $\sqrt{5x - 3} = 4$

    <p>x = 25</p> Signup and view all the answers

    The midsegment of a trapezoid divides the trapezoid into two _____ with equal areas.

    <p>parallelograms</p> Signup and view all the answers

    Rationalize the denominator of: $\frac{3}{\sqrt{5}}$

    <p>$\frac{3\sqrt{5}}{5}$</p> Signup and view all the answers

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