Understanding Systems of Equations

What is a system of equations?

• It is a graph of a single linear equation.

• It is 2 or more linear equations that can result in 1-solution, no-solution or infinitely many solutions.

• It is a point or series of points on a linear graph where two or more lines intersect or contain the same "X" and "Y" values/answers

• It is a special word problem

Tags

CCSS.8.EE.C.8B

The graph on your left is an image of a linear system of equations with what type of solution?

• No Solution

• Infinitely Many Solutions

• One Solution

• Only Two Solutions

In the image of the system of equations found on the left, what solution type is displayed in the graph?

• No Solution

• One Solution

• Infinitely Many Solutions

• Only Two Solutions

The graph on the left contains an image that represents a system of equations with how many solutions?

• No Solutions

• One Solution

• Only Two Solutions

• Infinitely Many Solutions

What do you call the point where two linear equations intersect on a graph (Select all the answers that apply)

• Coordinate Plane

• Answer for "X" and "Y"

• Solution

• Intersection Point

A system with one solution intersects _____________ . (fill in the blank)

• One time

• Two times

• Infinitely Many Times

• Zero times or they never touch

A system of equations that never intersects, has _________________ . (Select all answers that apply)

• One solution

• Zero solutions

• No solution

• Infinitely many solutions

A system of equations that has an infinite number of intersection points has _______________ . (fill in the blank)

• An infinite number of solutions

• Has no solutions

• Has one solution

• Has two solutions

A system of equations that consist of parallel lines has _______________ . (select all the answers that apply)

• an infinite number of solutions

• one solution

• two solutions

• no solutions

In the image on the left, the intersection or solution point is at (2, 5). When checking this equation, you should substitute 2 in for the ___________________ . ( fill in the blank)

• X value

• Y value

• You cannot tell which it represents