CA 4 Review

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is an ordered pair (x, y) that satisfies all equations in the system.

Front

How do you determine if an ordered pair is a solution to a system of equations?

Back

Substitute the x and y values of the ordered pair into each equation. If the equations hold true, then the ordered pair is a solution.

Front

What does it mean if a system of equations has no solution?

Back

It means that the lines represented by the equations are parallel and do not intersect.

Front

What does it mean if a system of equations has infinite solutions?

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation consists of lines on a coordinate plane, where the intersection point(s) represent the solution(s).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a coordinate plane.

Front

What is the significance of the intersection point of two lines in a system of equations?

Back

The intersection point represents the solution to the system, where both equations are satisfied.

Front

What happens when two lines are graphed and are identical?

Back

They overlap completely, indicating that there are infinite solutions to the system.

Front

What is the difference between consistent and inconsistent systems of equations?

Back

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

Front

How can you tell if a system of equations is consistent?

Back

If the lines intersect at one point or overlap completely, the system is consistent.