Test: Systems of Equations and Inequalities

Front

What does the graph of a system of equations with many solutions look like?

Back

The graph consists of coinciding lines.

Front

Write an inequality for the graph that shows y < -3x + 1.

Back

y < -3x + 1

Front

What is the solution to a system of equations that has infinitely many solutions?

Back

Infinitely Many Solutions

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

Which point is a solution to the system of equations? (0, 6), (-3, 4), (1, 0), (-4, 3)

Back

(1, 0)

Front

What are coinciding lines?

Back

Lines that lie on top of each other, representing infinitely many solutions.

Front

What are parallel lines in the context of systems of equations?

Back

Lines that never intersect, representing no solutions.

Front

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

Back

The lines are parallel and do not intersect.

Front

How can you determine if a point is a solution to a system of equations?

Back

Substitute the point into both equations; if it satisfies both, it is a solution.

Front

What is an inequality?

Back

A mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.