Proportionality STAAR Practice

Front

What is proportionality?

Back

Proportionality is a relationship between two quantities where their ratio remains constant. For example, if y is proportional to x, then y = kx for some constant k.

Front

Define direct proportion.

Back

Direct proportion is a relationship where an increase in one quantity results in a proportional increase in another quantity. For example, if the number of hours worked increases, the pay increases proportionally.

Front

What is the formula for finding a constant of proportionality?

Back

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

Front

How do you identify proportional relationships in a table?

Back

To identify proportional relationships in a table, check if the ratios of corresponding values are constant. If they are, the relationship is proportional.

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 per one unit of another quantity, such as miles per hour.

Front

Explain the concept of equivalent ratios.

Back

Equivalent ratios are two or more ratios that express the same relationship between quantities. For example, the ratios 1:2 and 2:4 are equivalent.

Front

What is a proportional relationship in a graph?

Back

In a graph, a proportional relationship is represented by a straight line that passes through the origin (0,0). The slope of the line represents the constant of proportionality.

Front

How can you solve for an unknown in a proportional relationship?

Back

To solve for an unknown in a proportional relationship, set up a proportion (a/b = c/d) and cross-multiply to find the unknown value.

Front

What does it mean for two quantities to be inversely proportional?

Back

Two quantities are inversely proportional if one quantity increases while the other decreases, such that their product remains constant. For example, if x increases, y decreases.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio between quantities, while non-proportional relationships do not maintain a constant ratio.