Systems of Equations, Inequalities & Word Problems

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel lines.

Front

What is the solution to the system of equations: y = 4x + 1 and 3x + 2y = 13?

Back

(1, 5)

Front

How many solutions does a system of equations have if the lines are the same?

Back

Infinitely many solutions.

Front

What does it mean if a system of equations has one solution?

Back

The lines intersect at exactly one point.

Front

What is the graphical representation of a system of inequalities?

Back

Shaded regions on a graph.

Front

Is (-2, 0) a solution to the system: y < 2x + 3 and y > -x - 1?

Back

Not a solution.

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean if two lines are skew?

Back

They do not intersect and are not parallel.

Front

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

Back

Substitute the point into each equation to see if it satisfies them.

Front

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

Back

The same line drawn multiple times.