8th Grade Fall Semester Review

Front

What is the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity. It is often represented as the slope in a linear equation.

Front

How do you calculate the slope of a line?

Back

The slope of a line is calculated by taking the difference in the y-coordinates divided by the difference in the x-coordinates between two points on the line.

Front

Convert 0.0000713 to scientific notation.

Back

7.13 x 10^-5

Front

What does the y-intercept represent 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 the formula for slope?

Back

Slope (m) = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that for every 1 unit increase in x, the value of y decreases by 3 units, meaning the line descends from left to right.

Front

What is the significance of a negative slope?

Back

A negative slope indicates an inverse relationship between the two variables; as one variable increases, the other decreases.

Front

What is the y-intercept of the equation y = -2x - 34?

Back

The y-intercept is -34, which is the value of y when x = 0.

Front

How do you interpret the slope in a real-world context?

Back

The slope can represent rates such as speed, cost per item, or any other ratio of change between two quantities.

Front

What does it mean if all points on a graph lie on the same line?

Back

It means there is a linear relationship between the two variables, and the relationship can be described by a linear equation.