NC Math 3 EOC Review #3

Front

What is the formula for the area of a sector in a circle?

Back

The area of a sector is given by the formula: \( A = \frac{\theta}{360} \times \pi r^2 \), where \( \theta \) is the angle in degrees and \( r \) is the radius.

Front

What is the sum of the interior angles of a parallelogram?

Back

The sum of the interior angles of a parallelogram is 360 degrees.

Front

How do you determine if a function is increasing on an interval?

Back

A function is increasing on an interval if the derivative is positive on that interval.

Front

What is the factored form of a polynomial?

Back

The factored form of a polynomial expresses it as a product of its factors, e.g., \( f(x) = a(x - r_1)(x - r_2)...(x - r_n) \) where \( r_1, r_2, ..., r_n \) are the roots.

Front

What is the value of x in the equation 3x + 6 = 33?

Back

To find x, solve the equation: 3x = 33 - 6; thus, x = 9.

Front

What is the relationship between the angles in a parallelogram?

Back

In a parallelogram, opposite angles are equal, and adjacent angles are supplementary (sum to 180 degrees).

Front

What does it mean for a function to be increasing on an interval?

Back

A function is increasing on an interval if, for any two points \( x_1 \) and \( x_2 \) in that interval, if \( x_1 < x_2 \), then \( f(x_1) < f(x_2) \).

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: \( A = \frac{1}{2} \times base \times height \).

Front

What is a polynomial function?

Back

A polynomial function is a function that can be expressed in the form \( f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0 \), where \( a_n, a_{n-1}, ..., a_0 \) are constants and \( n \) is a non-negative integer.

Front

What is the definition of a sector in a circle?

Back

A sector is a portion of a circle enclosed by two radii and the arc between them.