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 (B)</p> Signup and view all the answers

What type of quadrilateral has no pair of parallel sides?

<p>Trapezium (B)</p> Signup and view all the answers

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

<p>3 (D)</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 (D)</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 (B)</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 (B)</p> Signup and view all the answers

Which of the following is NOT a radical equation?

<p>x^2 = 5 (A)</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 (C)</p> Signup and view all the answers

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

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

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

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

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

<p>$2x + 3$ (C)</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 (B)</p> Signup and view all the answers

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

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

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

<p>parallelograms (A)</p> Signup and view all the answers

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

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

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