7R Unit 3 Proportional Relationships Flashcard Review

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

How do you solve for a variable in a proportional relationship?

Back

To solve for a variable in a proportional relationship, you can set up a proportion and cross-multiply to find the value of the variable.

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 does it mean to simplify a complex fraction?

Back

Simplifying a complex fraction involves reducing the fraction to its simplest form, often by finding a common denominator or multiplying by the reciprocal.

Front

What is the significance of the unit rate in proportional relationships?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit. It helps to understand the relationship between the quantities.

Front

How can you represent a proportional relationship graphically?

Back

A proportional relationship can be represented graphically by a straight line that passes through the origin (0,0) on a coordinate plane.

Front

What is the relationship between proportional relationships and linear equations?

Back

Proportional relationships can be expressed as linear equations in the form y = kx, where k is the constant of proportionality.

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal, meaning a/b = c/d implies a*d = b*c.

Front

What is a direct variation?

Back

Direct variation is a specific type of proportional relationship where one variable is a constant multiple of another variable.

Front

What is the difference between direct and inverse variation?

Back

In direct variation, as one variable increases, the other variable also increases. In inverse variation, as one variable increases, the other variable decreases.