Algebra EOC Review

Front

What is the definition of a domain in the context of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function f(x) at a specific point x = a, substitute 'a' into the function and simplify.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term of an arithmetic sequence can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What does it mean for data to be normally distributed?

Back

Data is normally distributed when it follows a bell-shaped curve, where most of the data points cluster around the mean and the probabilities for values further away from the mean taper off symmetrically.

Front

What percentage of data falls within one standard deviation of the mean in a normal distribution?

Back

Approximately 68% of the data falls within one standard deviation of the mean in a normal distribution.

Front

How do you calculate the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width: Area = length × width.

Front

What is the formula for the area of a rectangle given its length and width in algebraic terms?

Back

If the length is represented by L and the width by W, then the area A can be expressed as A = L × W.

Front

What is the significance of the coefficients in a polynomial expression?

Back

The coefficients in a polynomial expression determine the magnitude and direction of the terms in the polynomial.

Front

How do you simplify a polynomial expression?

Back

To simplify a polynomial expression, combine like terms and perform any necessary arithmetic operations.