7R Unit 3 Proportional Relationships Test 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

Define the constant of proportionality.

Back

The constant of proportionality is the constant value of the ratio of two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if 10 apples cost $5, the unit rate is $5/10 apples = $0.50 per apple.

Front

What does the term 'ratio' mean?

Back

A ratio is a comparison of two quantities by division, often expressed as 'a to b' or a:b.

Front

How can you represent a ratio using fractions?

Back

Front

What is the formula for finding the cost based on a unit rate?

Back

The formula is: Total Cost = Unit Rate × Quantity. For example, if the unit rate is $0.35 per ounce and you buy 20 ounces, the total cost is $0.35 × 20.

Front

What is the significance of the point (1, k) on a graph of a proportional relationship?

Back

The point (1, k) represents the constant of proportionality, where 'k' is the value of the output when the input is 1.

Front

Back

Front

What is an example of an incorrect ratio representation?

Back

An incorrect representation of the ratio of 5 chocolate cakes to 3 vanilla cakes is 5 vanilla to 7 chocolate, as it does not maintain the same relationship.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal. For example, for ratios a:b and c:d, they are equivalent if a*d = b*c.