Additive Relationships and Equations

Front

What is an additive relationship?

Back

An additive relationship is a mathematical relationship where one quantity is obtained by adding a constant value to another quantity. It can be expressed in the form y = x + k, where k is a constant.

Front

What is the formula for an additive relationship?

Back

y = x + k

Front

If a suitcase weighs 10 pounds, how do you express the total weight (y) when it contains x pounds of clothing?

Back

y = x + 10

Front

What does the equation y = x + 10 represent in the context of a suitcase?

Back

It represents that the total weight of the suitcase is the weight of the clothing (x) plus 10 pounds.

Front

If the original test score is 100 and the final score is 125, what is the additive increase?

Back

The additive increase is 25.

Front

What equation represents the total amount of money (y) in a bank account after paying a $20 fee?

Back

y = x - 20

Front

What does the equation y = x - 20 indicate?

Back

It indicates that the total amount in the account (y) is the initial amount (x) minus the $20 fee.

Front

Which equation represents the rule for a table where y increases by 4 for every increase in x?

Back

y = x + 4

Front

What is the meaning of the equation y = x + 4?

Back

It means that for every unit increase in x, y increases by 4.

Front

How do you express a relationship where y is directly proportional to x?

Back

y = kx, where k is a constant.