Algebra Staar Review

Front

What is a function in mathematics?

Back

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

Front

How do you determine if a relation is a function?

Back

A relation is a function if every x-value has only one corresponding y-value.

Front

What is the slope of a line?

Back

The slope of a line measures its steepness and is calculated as the change in y divided by the change in x (rise over run).

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2.

Front

What is the slope of the line that passes through the points (1, 7) and (10, 1)?

Back

The slope is -\frac{2}{3}.

Front

How do you graph a point (x, y) on a coordinate grid?

Back

Start at the origin (0,0), move x units right (or left if negative), then move y units up (or down if negative).

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

The solution is x = 5.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one x-value is associated with more than one y-value.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.