Module 1 Review Algebra 1

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the slope of a line?

Back

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

Front

What does the term 'rate of change' refer to?

Back

Rate of change refers to how much a quantity changes in relation to another quantity, often represented as the slope in a linear function.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is the y-intercept of a linear equation?

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

What is the difference between independent and dependent variables?

Back

The independent variable is the input or cause (often x), while the dependent variable is the output or effect (often y).

Front

What is a linear equation?

Back

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

Front

What does it mean for a graph to be linear?

Back

A graph is linear if it can be represented by a linear equation and forms a straight line.

Front

What is the formula for calculating slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the significance of the x-intercept?

Back

The x-intercept is the point where the graph crosses the x-axis, represented as (a, 0) in the equation.