Unit 4 Review

Front

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

Back

The graph consists of parallel lines.

Front

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

Back

It means that the equations represent the same line in the graph.

Front

Solve the system: 4x - 6y = 12 and -2x + 3y = -6. What is the number of solutions?

Back

Infinitely Many Solutions.

Front

What is the value of x in the solution to the system of equations: y = -\frac{3}{2}x + 8 and y = -7x + 19?

Back

x = 2.

Front

Which of the following is not a solution to the system of inequalities: (0,-1), (0,3), (4,0), (6,-2)?

Back

(0,-1) is not a solution.

Front

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

Back

Intersecting lines represent a system with one unique solution.

Front

Define parallel lines in the context of systems of equations.

Back

Parallel lines indicate that the system has no solution.

Front

What does it mean for lines to be skew in a three-dimensional space?

Back

Skew lines do not intersect and are not parallel.

Front

What is the graphical representation of a system with one solution?

Back

The lines intersect at a single point.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel, the system has no solution.