8th Grade Math Benchmark 2 Review Flashcard

Front

What is the rate of change of a function?

Back

The rate of change of a function describes how much the output value of the function changes for a given change in the input value. It is often represented as the slope of the line on a graph.

Front

How do you determine the initial value of a function?

Back

The initial value of a function is the output value when the input is zero. It can be found by evaluating the function at x=0.

Front

What does it mean for a function to produce a specific output for a given input?

Back

It means that when you substitute the input value into the function's equation, the resulting output value matches the specified output.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

What is a system of equations with exactly one solution?

Back

A system of equations with exactly one solution occurs when the graphs of the equations intersect at a single point, indicating that there is one unique solution for the variables.

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output, while a relation can have multiple outputs for a single input.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect, meaning they have no solutions in common.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, which occurs when x=0.