Algebraic Reasoning Fall 2024 Review

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 determine if a graph represents a function?

Back

A graph represents a function if every vertical line intersects the graph at most once. This is known as the vertical line test.

Front

What is a function in mathematical terms?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on its orientation. It can be found using the formula for the vertex of a quadratic function.

Front

How do you find the slope and y-intercept from the equation of a line?

Back

Front

What is the slope-intercept form of a linear equation?

Back

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if no two ordered pairs have the same first element (x-value).

Front

How can you identify the vertex of a quadratic function given in standard form?

Back

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

What is the relationship between the slope and the angle of a line?

Back

The slope of a line is related to the angle it makes with the positive x-axis; a steeper slope corresponds to a larger angle.