Review on Systems of Equations

What is the solution of the system below?

• (0,3)

• (3,0)

• No solution

• Infinite solutions

In a system of equations that is consistent and dependent, what can we conclude about the lines?

• The lines are parallel.

• The lines coincide.

• The lines intersect at exactly one point.

• The lines never intersect.

What is a system of linear equations?

• A set of equations with different variables

• A set of equations with the same variables

• A single equation with two variables

• A single equation with one variable

Which of the following best describes the goal when solving a system of linear equations?

• To find the slope of each equation

• To find the intersection point(s) of the equations

• To determine the x- and y-intercepts of each equation

• To rewrite each equation in slope-intercept form

When graphing a system of linear equations, where do you find the solution?

• At the origin of the graph

• At the point where the lines intersect

• Where each line crosses the y-axis

• Where each line crosses the x-axis

What does it mean if the graphs of two equations in a system are parallel?

• The system has no solution.

• The system has one solution.

• The system has infinitely many solutions.

• The system has solutions at the origin only.

If the lines in a system of equations coincide (overlap completely), what is true about the solution?

• The system has exactly one solution.

• The system has infinitely many solutions.

• The system has no solution.

• The system has exactly two solutions.

How can you identify a system with exactly one solution from a graph?

• The lines are parallel.

• The lines intersect at exactly one point.

• The lines are perpendicular.

• The lines coincide.

In a graph of a system with no solution, how do the lines appear?

• They intersect at multiple points.

• They are perpendicular to each other.

• They are parallel to each other.

• They overlap completely.

What type of solution does a consistent and independent system have?

• Infinitely many solutions

• No solution

• Exactly one solution

• No real solution