Mid Year Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities. In the context of a proportional relationship, it is the ratio of one quantity to another.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity of one unit, such as '30 words per minute'.

Front

If a wire is cut in the ratio 9:6, how do you find the lengths of the pieces?

Back

To find the lengths, first add the parts of the ratio (9 + 6 = 15). Then, divide the total length by the sum of the ratio parts to find the length of one part. Multiply by each part of the ratio to find the lengths.

Front

What makes a graph proportional?

Back

A graph is proportional if it is linear and passes through the origin (0,0). This means that as one quantity increases, the other quantity increases at a constant rate.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set them equal to each other. Then, solve for the unknown variable.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

What does it mean for a graph to be linear?

Back

A linear graph is a straight line that represents a constant rate of change between two variables.

Front

How do you find the unit rate from a total?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you have 60 words in 2 minutes, the unit rate is 60/2 = 30 words per minute.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where k is the constant, y is the dependent variable, and x is the independent variable.

Front

What is the significance of the origin in proportional graphs?

Back

The origin (0,0) is significant in proportional graphs because it indicates that when one quantity is zero, the other quantity is also zero, maintaining the proportional relationship.