Midterm Review

Front

What does the equation 25 + 0.05x = 50 + 0.01x represent in a real-world context?

Back

This equation represents a comparison of costs between two cell phone companies based on the number of minutes used each month, x. Cellular One charges $25 plus 5 cents per minute, while Cellular Plus charges $50 plus 1 cent per minute.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. In a graph, this is represented by a line that does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

Back

r = -1.

Tags

CCSS.8.EE.C.7B

Front

Back

Point B could represent the value of approximately 5.92.

Tags

CCSS.8.NS.A.2

Front

What does the slope of a line represent in a cost context?

Back

The slope indicates how much the cost increases or decreases per unit increase in the independent variable. For example, a slope of $1.40 means the cost increases by $1.40 for each additional topping.

Tags

CCSS.8.EE.B.5

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness of a line, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Tags

CCSS.8.EE.B.5

Front

How do you determine if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

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

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does it mean if two equations are equivalent?

Back

Two equations are equivalent if they have the same solution set, meaning they represent the same line or relationship in a graph.

Tags

CCSS.8.EE.C.7A

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 zero.

Tags

CCSS.HSF-IF.C.7A