U6L1 Number of Solutions System of Equations

January 27, 2023

Good Day Everyone!

Laptop/Notebook/Something to write with

Everything else in your backpack

1/27 Anything submitted or graded will be on Progress Report Q3

->Missing work can still be completed minus late points

Put in code for Quizizz

When finished with U6L1 notes, Unit 5 Assessment will be opened

Reviewing the types of slopes:

● Positive
● Negative
● Zero
● No Slope

Multiple Choice

Identify the type of slope.

• positive

• negative

• zero

• undefined

Multiple Choice

Identify the type of slope.

• positive

• negative

• zero

• undefined

Multiple Choice

Identify the type of slope.

• positive

• negative

• zero

• undefined

Multiple Choice

Identify the type of slope.

• positive

• negative

• zero

• undefined

Graph y = 2x + 3

Graph y = -2x - 5

Both y=2x-3 and y=-2x-5 are on the same graph

Can you identify the
solution?

Open Ended

What is the solution to the two equations?

U6L1 Number of Solutions

System of Equations

January 26, 2023

Relate the solution of a system of equations to its

graph and equations

MA.912.AR.9.1

Use the graph at the left to determine whether the
system has no solution, one solution, or infinitely
many solutions.

Key features - slope and y-intercept

a)

One solution - different slopes

y-intercepts can be the same or different

b)

No solution - same slopes, different y-intercepts

c)

Infinitely many solutions - same slopes, same y-intercepts

Multiple Choice

1. $$y=-x-3\ and\ y=x-1$$

• no solution

• infinitely many solutions

• one solution

Multiple Choice

2. $$2x+2y=-6\ and\ y=-x-3$$

• no solution

• infinitely many solutions

• one solution

Multiple Choice

3. $$y=-x-3\ and\ 2x+2y=4$$

• no solution

• infinitely many solutions

• one solution

Multiple Choice

4. $$2x+2y=-6\ and\ 3x+y=3$$

• no solution

• infinitely many solutions

• one solution

Give a try!

Without a graph, determine whether the system has no
solution, one solution, or infinitely many solutions.

Homework

Khan Academy - Number of solutions to
a system of equations algebraically
due Monday, 1/30

Due today - 1/25 ixl E.3 Graphing linear equations