Linear and Quadratic Review

Presentation

•

Mathematics

•

9th Grade

•

Medium

•

CCSS

8.EE.B.5, HSF-IF.C.7A, 8.EE.C.7B

Standards-aligned

Dawn Allen

Used 92+ times

FREE Resource

9 Slides • 26 Questions

Linear and Quadratic Review

Let's review....

Is it Linear or Quadratic? 2x+5y=20

What is the highest exponent?
If it is x¹= linear
If it is an x² =quadratic

Multiple Choice

Is it linear, quadratic, or exponential?

Linear

Quadratic

Exponential

Outrageously outrageous

Multiple Choice

Is it linear, quadratic, or exponential?

Linear

Quadratic

Exponential

Outrageously outrageous

Multiple Choice

3x²- 12 = 0

Linear Equation

Quadratic Equation

Neither

Multiple Choice

2x – 5 = 0

Linear Equation

Quadratic Equation

Neither

Multiple Select

x²– 4x + 7 = 0

Linear Equation

Quadratic Equation

Neither

Let's look at linear equations and their characteristics

Slope

There are 4 types of slope with Linear Equations

Positive
Negative
Zero (horizontal)
Undefined ( vertical)

Multiple Choice

What is the slope?

Positive

Negative

Zero

Undefined

Multiple Choice

What is the slope?

Positive

Negative

Zero

No Slope

Multiple Choice

Identify the type of slope.

Positive

Negative

Zero

Undefined

Multiple Choice

Identify the type of slope.

Postive

Negative

Zero

Undefined

Multiple Choice

What is the slope of all horizontal lines?

undefined

-1

Multiple Choice

What direction is an undefined slope?

horizontal

vertical

Multiple Choice

Find the slope.

m = 0

m = 6

Undefined

No solution

Multiple Choice

What direction is a line with an undefined slope?

horizontal

vertical

increasing

decreasing

There is more to slope though...

Slope is rise/run
Slope tells us how we move from one point to another.
But we can't forget the positive or negative part.
We need slope to help us come up with the equation of a line.
There are several ways to find slope.

Slope from a picture....show me

First we need to find two "perfect points"
Let's use (0,-2) and (-3,-1)

Calculate the slope

Count the rise 1
Count the run 3
Is it positive or negative -
Set up fraction= +/- rise/run= -1/3
There's your slope.

Multiple Choice

Find the slope

-5/3

-3/5

5/3

3/5

Multiple Choice

Find the slope

-5/3

-3/5

5/3

3/5

Multiple Choice

Find the slope of the line.

-5/4

5/4

-4/5

4/5

Multiple Choice

Find the slope:

3/4

4/3

-3/4

-4/3

Multiple Choice

Find the slope:

-2

1/2

-1/2

Another way to find slope

Sometimes you are given two points and asked to find the slope.
Step 1: Plot the points on Desmos
Count the rise
Count the run
Is it positive or negative?
Set up the fraction +/- rise/run
Make sure it's reduced! (use Desmos)

Multiple Choice

Find the slope given these points:

(2,-4) & (3,1)

-3

-5

Multiple Choice

Find the slope given these points:

(-5,3) & (3,5)

1/4

-1

Multiple Choice

Find the slope given these points:

(1,2) & (3,4)

-1

-2

Multiple Choice

Find the slope given these points:

(-2,-3) & (2,3)

3/2

undefined

-3/2

Quadratics have "slope" too

It's not slope like with lines though
It is simply either positive - opening up
or negative - opening down
This can be important in identifying what graph or equation we should look at.

Multiple Choice

What direction is the following equation opening?
y=-3x²-7x+8

Down

Left

Right

Fill in the Blanks

What direction is the following equation opening?

y=-2x^2-3x+4

Type answer...

Fill in the Blanks

What direction is the following equation opening?

x^2-5x+2

Type answer...

Fill in the Blanks

What direction is the following equation opening?

-x^2+5x-8

Type answer...

Linear and Quadratic Review

Let's review....

Show answer

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