Algebra midterm

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph does not represent a function.

Front

What is a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run (change in y over change in x).

Front

How do you identify the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, often represented as (0, b) in the equation y = mx + b.

Front

What does the equation y = mx + b represent?

Back

The slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

Solve for x: 2x - 3 = 13

Back

x = 8

Front

What is the y-intercept of the equation y = 1/4x - 7?

Back

-7

Front

Which graph represents a function?

Back

A graph that passes the vertical line test.

Front

What is the difference between a relation and a function?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input has one output.

Front

How do you write the equation of a line given a slope and y-intercept?

Back

Use the slope-intercept form: y = mx + b, substituting m for the slope and b for the y-intercept.