Algebra 1 Unit 1 Practice Test

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line. It is calculated as the change in y divided by the change in x (rise over run).

Front

How do you write the equation of a line in slope-intercept form?

Back

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a function?

Back

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

Front

What does it mean for a graph to be continuous?

Back

A continuous graph is one that can be drawn without lifting the pencil from the paper, meaning there are no breaks or gaps.

Front

What does it mean for a graph to be discrete?

Back

A discrete graph consists of distinct, separate points, indicating that the values are not connected.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction, meaning it cannot be written as a ratio of two integers.

Front

What happens when you multiply two irrational numbers?

Back

The product of two irrational numbers is sometimes rational, meaning it can be a whole number or a fraction.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you determine if a graph represents a function?

Back

You can use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the difference between a linear and a non-linear function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a non-linear function does not have a constant rate of change and can curve.