Algebra Quiz on Binomial Radicals and Conjugates

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18 Questions

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

Trapezoid

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

25

Which of the following is the correct radical form of $\frac{3}{4}b$?

$\frac{3}{4}\sqrt{b}$

Which of the following is the correct simplification of $200$?

10

What type of quadrilateral has no pair of parallel sides?

Trapezium

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

3

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

2

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?

Triangle Midline Theorem

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

18 units

Which of the following is NOT a radical equation?

x^2 = 5

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

Kite

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

$\frac{1}{3}$

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

90°

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

$2x + 3$

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?

120 sq units

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

x = 25

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

parallelograms

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

$\frac{3\sqrt{5}}{5}$

Test your algebra skills with this quiz covering simplifying expressions, identifying conjugates, and working with binomial radicals. Includes multiple-choice questions and answer explanations. Prepared by: JERWIN C.ORENCE

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