Solving a System of Linear Equations

Solving a System of Linear Equations

By Carly Rexing

Solving Systems of Equations by Graphing

Algebra 1

Multiple Choice

What form do we need the equations to be in so that we can graph them?

• Standard From

• Slope-Intercept Form

• Point-Slope Form

• Any Form

One Solution

When you graph both equations they will cross in exactly ONE POINT. The INTERSECTION POINT is the ANSWER to the system.

No Solution

When you graph both equations they NEVER intersect. No intersection point means no solution.

Infinite Solutions

When you graph both equations and they overlap. When the lines overlap at every point it means they have infinite solutions. They are actually the same line.

Multiple Choice

If you graph 2 lines and they intersect at ONE point, how many solutions does the system have?

• No Solution

• Infinite Solutions

• One Solution

• None of These

Multiple Choice

If 2 lines never intersect, how many solutions does the system have?

• No Solution

• Infinite Solutions

• One Solution

• None Of These

Multiple Choice

If a system has 2 lines that overlap, meaning they share all of the same points, how many solutions does the system have?

• No Solution

• Infinite Solutions

• One Solution

• None Of These

Multiple Choice

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

Multiple Choice

How many solutions will this system have?

• One
• Two
• No Solution
• Infinitely Many Solutions

Multiple Choice

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe. 

Multiple Choice

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Multiple Choice

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions

Multiple Choice

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

Multiple Choice

Lesly graphed two lines in order to find the solution to a given system of equations.

What is the solution?

• (-3,-8)

• (-8,-3)

• (3,-8)

• (8,3)

Multiple Choice

The solution to this system of equations is:

• (4, 3)
• (3, 4)
• (-4, 3)
• No solution

​Replace tHow Do I feel about his with a header

Replace this with your body text. Duplicate this text as many times as you would like. All provided templates can be reused multiple times. Wish you a good day.

Happy teaching!

Subject | Subject

Some text here about the topic of discussion