Systems Review - ALGEBRA 2024

Front

If a system of equations has NO solution, what does the graph look like?

Back

The graph consists of parallel lines.

Front

What is the solution to the system of equations represented by the point (1, -1)?

Back

(1, -1) is the solution to the system.

Front

Check to see if (-2,1) is a solution to the system: x + 2y = 0 and 4x + 3y = 1.

Back

No, (-2,1) is not a solution.

Front

If a system of equations is solved using elimination and you get the answer: 7 = 8, what does this mean?

Back

There is NO solution!

Front

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Which system of equations represents this situation?

Back

3x + 2y = 315 and 2x + 4y = 450.

Front

What does it mean if two lines in a system of equations intersect at one point?

Back

The system has one unique solution.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The lines overlap each other.

Front

What is the elimination method in solving systems of equations?

Back

A method where you eliminate one variable to solve for the other.

Front

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

Back

The lines are parallel and never intersect.

Front

How do you check if a point is a solution to a system of equations?

Back

Substitute the point into both equations to see if they hold true.