Graphing Systems of Equations Practice

Miss Slush reviews systems of equations, focusing on solutions. She explains that solutions are points shared by both equations or graphs. There are three types of solutions: one solution (intersecting lines), no solution (parallel lines), and infinitely many solutions (same line). The video includes examples and practice problems to identify solutions.

What are we looking for in systems of equations?

• The distance between the lines

• The slope of the lines

• The points shared by both equations

• The y-intercept of the lines

What does it mean if two lines intersect at one point?

• There are infinitely many solutions

• There is no solution

• The lines are parallel

• There is one solution

What is the solution if two lines are parallel?

• One solution

• No solution

• Two solutions

• Infinitely many solutions

What does it indicate if one line falls perfectly on top of the other?

• Two solutions

• Infinitely many solutions

• One solution

• No solution

What is the ordered pair for a one solution system?

• A single point where the lines are parallel

• A single point where the lines intersect

• A set of points where the lines are parallel

• A set of points where the lines overlap

What is the solution for a system of equations with parallel lines?

• No solution

• Two solutions

• One solution

• Infinitely many solutions

What is the solution for the system of equations in problem 1?

• (-4, 2)

• (3, -2)

• (1, -1)

• (-3, -1)

What is the solution for the system of equations in problem 2?

• (-4, 2)

• (-3, -1)

• (1, -1)

• (3, -2)

What is the solution for the system of equations in problem 3?

• One solution

• No solution

• Infinitely many solutions

• Two solutions

What is the solution for the system of equations in problem 4?

• (3, -2)

• (1, -1)

• (-4, 2)

• (-3, 1)