Algebra EOC Study Guide

Front

What does the slope represent in a linear regression equation?

Back

The slope represents the rate of change of the dependent variable (y) for each unit increase in the independent variable (x).

Front

What does the y-intercept represent in a linear regression equation?

Back

The y-intercept represents the value of the dependent variable (y) when the independent variable (x) is zero.

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 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 is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form h(x) = ax^2 + bx + c.

Front

What does h(2) = 67 mean in the context of a quadratic function describing height?

Back

It means that after 2 seconds, the height of the object (e.g., a football) is 67 feet.

Front

What is the domain of a function?

Back

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

Front

What does the domain D: {x| 0 ≤ x ≤ 9} indicate?

Back

It indicates that the function is defined for values of x between 0 and 9, inclusive.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form y = mx + b.

Front

What is a quadratic function's graph shape?

Back

The graph of a quadratic function is a parabola, which can open upwards or downwards.