Pattering and Algebraic Reasoning Practice

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if it can be represented by a straight line that passes through the origin, indicating that as one quantity increases, the other quantity increases at a constant rate.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Front

What does it mean for a graph to shift down?

Back

When a graph shifts down, it means that the entire graph moves downward by a certain number of units, affecting the y-values of all points on the graph.

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two variables by displaying data points on a Cartesian plane.

Front

What is positive association in a scatter plot?

Back

Positive association means that as one variable increases, the other variable also tends to increase, resulting in an upward trend in the scatter plot.

Front

What is a one-time fee?

Back

A one-time fee is a charge that is paid only once, typically at the beginning of a service or membership.

Front

What is the formula for calculating total cost with a monthly fee?

Back

The total cost can be calculated using the formula C = monthly fee * number of months + one-time fee.

Front

What does it mean for a relationship to be non-proportional?

Back

A relationship is non-proportional if it does not pass through the origin or if the ratio between the two quantities is not constant.