[4] U5D8 Mix Review

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you represent a linear relationship in a savings account?

Back

A linear relationship can be represented by an equation of the form y = mx + b, where y is the total amount, m is the rate of change (savings or spending per week), x is the number of weeks, and b is the initial amount.

Front

If John has $800 and spends $40 each week, what is the equation representing his savings?

Back

Front

If Emily has $600 and saves $60 each week, what is the equation representing her savings?

Back

Front

How do you find the point where two savings accounts are equal?

Back

Set the equations of the two accounts equal to each other and solve for x.

Front

What does the slope in a savings equation represent?

Back

The slope represents the rate of change in the savings account, indicating how much money is added or subtracted per week.

Front

What is the initial value in a savings equation?

Back

The initial value is the starting amount in the savings account before any spending or saving occurs.

Front

How can you determine the number of weeks until two savings accounts are equal?

Back

By solving the equation formed by setting the two savings equations equal to each other.

Front

What is the significance of the y-intercept in a savings equation?

Back

The y-intercept represents the initial amount of money in the savings account before any transactions.

Front

If Mark has $700 and spends $30 each week, what is his savings equation?

Back