8th Math STAAR Prep: Series 1 & 6 and page 8-9

Front

What is a linear relationship in a scatterplot?

Back

A linear relationship in a scatterplot indicates that as one variable increases or decreases, the other variable does so in a consistent manner, forming a straight line when graphed.

Front

How do you find the value of x in a square with sides represented by expressions?

Back

Set the expressions for the sides equal to each other and solve for x. For example, if one side is 12x - 5 and the other is 7x + 4, set 12x - 5 = 7x + 4 and solve for x.

Front

What does the slope of a graph represent?

Back

The slope of a graph represents the rate of change between two variables. In the context of a problem, it can indicate how many units of one variable change for each unit change in another variable.

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape. It is defined by a scale factor that multiplies the coordinates of each point in the figure.

Front

What is the formula for dilation about the origin?

Back

The formula for dilation about the origin is (x, y) -> (kx, ky), where k is the scale factor.

Front

How do you determine the scale factor in a dilation?

Back

The scale factor can be determined by comparing the lengths of corresponding sides of the original figure and the dilated figure.

Front

What is a scatterplot?

Back

A scatterplot is a graph that displays values for typically two variables for a set of data. The values are plotted as points on a Cartesian plane.

Front

What does it mean for a scatterplot to show a positive correlation?

Back

A scatterplot shows a positive correlation when the points tend to rise from left to right, indicating that as one variable increases, the other variable also increases.

Front

What does it mean for a scatterplot to show a negative correlation?

Back

A scatterplot shows a negative correlation when the points tend to fall from left to right, indicating that as one variable increases, the other variable decreases.

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. It represents the value of y when x is zero.