STAAR Review - 6

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope of a line using two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is a slope triangle and how is it used to find the slope?

Back

A slope triangle is a right triangle formed by the rise and run of a line. The slope is found by dividing the length of the rise by the length of the run.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, often represented by an equation that includes a constant term.

Tags

CCSS.7.RP.A.2D

Front

Provide an example of a proportional relationship.

Back

An example of a proportional relationship is: 'For every 2 apples, there are 3 oranges,' which maintains a constant ratio.

Tags

CCSS.7.RP.A.2A

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you determine the constant of proportionality from a given relationship?

Back

The constant of proportionality can be determined by dividing one quantity by the other in a proportional relationship.

Tags

CCSS.7.RP.A.2B

Front

What is the significance of the graph with the steepest slope?

Back

The graph with the steepest slope represents the greatest rate of change between the two variables being compared.

Tags

CCSS.8.EE.B.5