Semester 1 Review 7th grade math

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality (k) is the ratio of y to x in a proportional relationship.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin.

Front

How do you find the rate of change (m) in a linear equation?

Back

The rate of change (m) is found by calculating the change in y divided by the change in x (rise/run).

Front

What is the constant of proportionality if k = 5?

Back

The constant of proportionality is 5, meaning y = 5x.

Front

Evaluate the expression: -4.6 • 3.2

Back

-14.72

Front

What is the formula for finding the slope of a line?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, it does not have a constant ratio between y and x.

Front

What is the significance of the origin in a proportional graph?

Back

The origin (0,0) is significant because it indicates that when x = 0, y must also equal 0 in a proportional relationship.

Front

How can you determine if a table of values represents a proportional relationship?

Back

A table represents a proportional relationship if the ratio of y to x is constant for all pairs of values.

Front

What is the relationship between the slope and the constant of proportionality?

Back

In a proportional relationship, the slope of the line is equal to the constant of proportionality.