7Accel Unit 4 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 (k).

Back

The Constant of Proportionality (k) is the constant ratio in a proportional relationship, often represented as k = y/x.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 12 gallons of water are used in 3 hours, the unit rate is 12/3 = 4 gallons per hour.

Front

What does the point (1, k) represent on a graph of a proportional relationship?

Back

The point (1, k) represents the Constant of Proportionality, indicating that when the independent variable is 1, the dependent variable is k.

Front

How can you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction, with a colon, or with the word 'to'. For example, the ratio of 5 chocolate cakes to 3 vanilla cakes can be written as 5/3, 5:3, or '5 to 3'.

Front

What is the formula for solving proportions?

Back

The formula for solving proportions is cross-multiplication: if a/b = c/d, then a*d = b*c.

Front

What is a unit rate in terms of speed?

Back

A unit rate in terms of speed is the distance traveled per unit of time, such as miles per hour (mph).

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

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.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.