[4] U5D8 Mix Review

Front

What is a linear equation?

Back

Front

Define slope in the context of a linear equation.

Back

The slope of a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It is calculated as the rise over run between two points on the line.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It represents the value of y when x is 0.

Front

How do you find the point of intersection of two linear equations?

Back

To find the point of intersection, solve the system of equations formed by the two linear equations simultaneously. This can be done using substitution or elimination methods.

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 set of values that satisfy all equations in the system.

Front

Explain the concept of spending and saving in a linear context.

Back

In a linear context, spending can be represented as a negative slope (decreasing value over time), while saving can be represented as a positive slope (increasing value over time).

Front

How can you represent Mark's savings over time with an equation?

Back

Front

How can you represent Sarah's savings over time with an equation?

Back

Front

What is the significance of the coefficients in a linear equation?

Back

Front

How do you determine when two savings accounts will have the same amount?

Back

Set the equations for both savings accounts equal to each other and solve for the variable representing time (weeks).