Friday Practice 12/6

Front

What does it mean if a system of linear equations has infinitely many solutions?

Back

The two lines are the same line.

Front

How do you solve a system of inequalities by graphing?

Back

Graph each inequality on the same coordinate plane and find the overlapping region.

Front

What is the formula to calculate the slope of a line given two points?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

Calculate the slope of the line that passes through the points (10, 18) and (-5, -12).

Back

The slope is 2.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

What does it mean for two lines to be parallel?

Back

They have the same slope but different y-intercepts.

Front

What is the solution to the system of equations: x + y = 49 and 20x + 50y = 1430?

Back

The solution is the number of each type of bill Caitlin has.

Front

What is the graphical representation of a system of equations?

Back

It is the point(s) where the lines intersect.

Front

What does it mean if two lines intersect at one point?

Back

The system of equations has a unique solution.

Front

What is the difference between a consistent and inconsistent system of equations?

Back

A consistent system has at least one solution; an inconsistent system has no solutions.