Unit 4 Quizizz Lesson #1 (Systems of Linear Equations)

Unit 4: Linear Functions & Equations
Systems of Linear Equations

Week #6, Quizizz Lesson #1
Wednesday, 9/13
Take notes on the following slides in your notebooks. This is part of this week's notes grade!

What are systems of linear equations?

Two or more linear equations that can be graphed on the same plane

The solution, if there is one, is the point where both graphs intersect.

In this case, the solution is (-3, 3)

Multiple Choice

^{What is the solution?}

• 1

• -2

• (1, 2)

• (1, -1)

Multiple Choice

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Multiple Choice

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

What is the solution?

• (-1, 4)

• (1, -4)

• (-4, 1)

• (4, -1)

One Solution

• The two lines intersect (touch) at ONE POINT

• Your answer should be an ordered pair (x, y)

No Solution

• The two lines NEVER intersect (touch)

• 
  

Infinitely Many Solution

• The equations are on SAME LINE Your answer should be an ordered pair (x, y)

Multiple Choice

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

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?

• No solution

• One 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

Multiple Choice

How many solutions will this system have?

• infinitely many solutions

• one solution

• no solution

• 2

Multiple Choice

How many solutions will this system have?

• no solution

• infinitely many solutions

• one solution

Solving Systems of Equations by Graphing

• Type both equations into Desmos (separate lines)
  

• Find the point of intersection (where the lines cross)
  

• The point (x, y) is the solution to the system of equations

  • If it looks like only one line is showing up after you have typed both equations in, that means that there are infinite solutions.

Home

Open in new tab

Copy link

Multiple Choice

What is the solution to a systems of equations? 

• The point or points where they intersect

• What the lines have in common

• Either a single point, infinite number of points or no points

• ALL OF THE ABOVE 

Multiple Choice

7x + y = -20
y = 3x + 10

• (-3, 1)

• (-1, -3)

• (-3,-7)

• (-1,7)

Multiple Choice

x + 2y = 2
x = -4y + 2

• (-3, 0)

• (0, 2)

• (-3, -2)

• (2, 0)

Multiple Choice

y = -2x + 18
y = 8

• (5, 8)

• (-5, 8)

• (2, 8)

• (-2, 8)