[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 equation in slope-intercept form?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

What is the y-intercept of a linear equation?

Back

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

Front

How can you find the intersection of two lines represented by equations?

Back

To find the intersection, solve the system of equations simultaneously to find the values of x and y that satisfy both equations.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts, meaning they will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, indicating they intersect at a right angle.

Front

How do you set up an equation to model a real-world situation?

Back

Identify the variables, determine the relationships between them, and translate those relationships into equations.

Front

What is the formula to calculate the total amount in a savings account after a certain number of weeks?

Back

The total amount can be calculated using the formula: Total = Initial Amount + (Change per Week * Number of Weeks).

Front

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

Back

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