Grade 9 Math Quiz Bee: Test Your Skills

Questions and Answers

What is the simplified expression of $7 \sqrt{21} \sqrt{3}$?

$7 \sqrt{21} \sqrt{3}$

$7 \sqrt{63}$ (correct)

$7 \sqrt{7} \sqrt{3}$

$7 \sqrt{7} \sqrt{9}$

What do you call two binomial radical expressions that have the same number but only differ in the sign that connects the binomials?

Radicals

Conjugates (correct)

Binomials

Expressions

What is the simplified expression of $\frac{1}{5} (-32)$?

$-2$ (correct)

$-6.4$

$-64$

$-16$

What is the conjugate of the radical expression $(3 - \sqrt{2})$?

$3 + \sqrt{2}$ Signup and view all the answers

What is the name of the quadrilateral that has four right angles and four congruent sides?

Square Signup and view all the answers

What is the simplified expression of $\frac{2}{3} (27)$?

$9$ Signup and view all the answers

What is the value of x in the expression 11x + 3 if YX = 13 and LK = 19?

2 Signup and view all the answers

Which theorem states that 'The segment connecting the midpoint of two sides of a triangle is parallel to the third side and half as long'?

Triangle Midline Theorem Signup and view all the answers

In parallelogram BEST with diagonals BS and ET bisecting each other at O, if ES = 18 units, what is the length of segment BT?

9 units Signup and view all the answers

Which of the following is not a radical equation?

$x^{2} = 5$ Signup and view all the answers

Which statement about rhombuses is true?

Rhombus is a type of parallelogram. Signup and view all the answers

If ABCD is a rhombus and angle DAC measures 54 degrees, what is the measure of angle DAB?

$46°$ Signup and view all the answers

What operation is needed to solve for x in the equation 2x - 3 = 5?

Divide both sides by 2 Signup and view all the answers

Which quadrilateral has exactly one pair of parallel sides?

Trapezoid Signup and view all the answers

What is the radical form of 3/4?

$3/\sqrt{4}$ Signup and view all the answers

If YX = 13, LK = 19, and ZW = 11x + 3, what is the length of ZW?

25 Signup and view all the answers

What is the simplification of the radical expression $\sqrt{200}$?

$10\sqrt{2}$ Signup and view all the answers

Which quadrilateral has no pair of parallel sides?

Trapezium Signup and view all the answers

What is the correct term for the power of a product when simplifying an expression like 3^3(y^2)?

Power of a power Signup and view all the answers

In mathematics, what is the special type of parallelogram that is considered the most unique?

Square Signup and view all the answers

What would be the simplest form of -1 exponent in 4x?

4x Signup and view all the answers

If a 10-meter ladder is placed 6 meters away from a building, how high up the building will the ladder reach?

8m Signup and view all the answers

What is the ideal power for the expression (3xy) to make it equal to 1?

0 Signup and view all the answers

If the area of a kite is 98 cm^2 and EG = 7cm, what should be the length of FD in the given figure (diagram not shown)?

$\sqrt{41}$ cm Signup and view all the answers

Study Notes

Simplifying Expressions

(7/1) × (21/3) = 7/1
1/5 × (-32) = -2
2/3 × (27) = 9
1/4 × (-4) = undefined
3200 = 10 × 2

Conjugates

Two binomial radical expressions that have the same number but only differ in the sign that connects the binomials are called conjugates
Example: 3 - √2 and 3 + √2 are conjugates

Quadrilaterals

A parallelogram with four right angles and four congruent sides is called a square
A quadrilateral with two pairs of parallel and congruent sides is called a parallelogram
A quadrilateral with exactly one pair of parallel sides is called a trapezoid
A quadrilateral with no pairs of parallel sides is called a trapezium
A quadrilateral with two distinct pairs of congruent sides is called a kite

Radical Equations

An equation that contains radicals and a variable expression in the radicand is called a radical equation
Example: √(2x - 3) = 5

Theorems

The Triangle Midline Theorem states that "The segment that connects the midpoint of the two sides of a triangle is parallel to the third side and half as long"

Laws of Exponents

The Power of a Product states that a^m × a^n = a^(m+n)
The Power of a Power states that (a^m)^n = a^(mn)
The Power of a Quotient states that (a/b)^m = a^m / b^m
The Product of a Power states that (ab)^m = a^m × b^m

Miscellaneous

Rationalization is the process of removing the radical sign in the denominator
The index of an expression is another term for its order
A convex quadrilateral is a quadrilateral where all angles are less than 180°

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

Test your mathematical knowledge with this quiz featuring true or false questions, fill in the blanks, and exponent laws. Prepared by JERWIN C.ORENCE, this quiz covers topics like basic arithmetic, geometry, and algebra.

Mathematics Quiz Bee - Grade 9