8th Grade Math State Test Review Flashcardizz#2

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

How do you determine if a function is linear or nonlinear?

Back

A function is linear if it can be represented by a straight line on a graph, meaning it has a constant rate of change. Nonlinear functions do not have a constant rate of change and can form curves.

Front

How do you calculate speed?

Back

Speed is calculated by dividing the distance traveled by the time taken. Formula: Speed = Distance / Time.

Front

What is the equation for a plumber's charges if they charge a flat fee plus an hourly rate?

Back

The equation is y = 12x + 50, where y is the total charge, x is the number of hours worked, $50 is the flat fee, and $12 is the hourly rate.

Front

How do you calculate the time it takes for light to travel a certain distance?

Back

Time = Distance / Speed. For example, to find how long it takes light to travel 90,000,000 miles at 2 x 10^5 miles per second, use the formula.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

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, representing the value of y when x is 0.

Front

What is a linear equation in two variables?

Back

A linear equation in two variables is an equation that can be written in the form Ax + By = C, where A, B, and C are constants.

Front

What does it mean for a function to be proportional?

Back

A proportional function is one where the ratio of the two variables is constant, meaning it can be represented by a straight line through the origin.