4/3 Solution to Linear Inequalities

Do Now: Convert from Standard to Slope Intercept

1.) -8x -8y ≤ 72

Do we shade above or below the line?

Do we use solid or dotted lines

​(7 Mins)

LO:  SWBAT write and determine reasonable solutions of

linear inequalities from real world problems.

DOL:  Given 4 problems, I will be able to correctly write and determine reasonable solutions from of linear inequalities real world problems of at least 3 of 4 questions.

(1 min)

Type of Line to Draw

Inequality

Symbol

Type of Line

> or <

Dotted Line

> or <

Solid Line

​(1 min)

​( 1 min)

If the

inequality is:

Shade

y > mx + b

or

y > mx + b

Above the line

y < mx + b

or

y < mx + b

Below the line

​(1 min)

Lesson Vocabulary

Inequalities

Greater than

>

Less
than

<

Greater than or Equal

to
≥

Less than or

Equal to

≤

y > x

y < x

y ≥ x

y ≤ x

​(2 min)

Gustav works as a server in a restaurant. The manager is promoting two new menu
items and has introduced a competition to encourage the wait staff to sell more of
them to customers. For each promotional item the servers sell, they get three points.
Gustav currently has 60 points, but he wants to win, so he thinks about how many
more items he needs to sell to get into 1st place based on how many points the 1st
place server has, y.

​(2 mins)

​2 Min Brain Dump/Whiteboard

Gustav works as a server in a restaurant. The manager is promoting two new menu
items and has introduced a competition to encourage the wait staff to sell more of
them to customers. For each promotional item the servers sell, they get three points.
Gustav currently has 60 points, but he wants to win, so he thinks about how many
more items he needs to sell to get into 1st place based on how many points the 1st
place server has, y.

( 2 min Modified Whip Around)

​( 4 min )

Gustav works as a server in a restaurant. The manager is promoting two new menu
items and has introduced a competition to encourage the wait staff to sell more of
them to customers. For each promotional item the servers sell, they get three points.
Gustav currently has 60 points, but he wants to win, so he thinks about how many
more items he needs to sell to get into 1st place based on how many points the 1st
place server has, y.

The server in 1st place has 105 points. How many more
promotional items does Gustav need to sell?

Reasonableness

​( 6 mins Lap 2 )

​60 + 3x > y

John Jacob high school will spend at most $6,520 to buy monitors and
keyboards for a computer lab. Each monitor will cost $225, and each
keyboard will cost $35.

With your partner, write a linear inequality that represents the scenario below and answer the question below.

If 26 monitors are bought, what’s the maximum number of
keyboards the school can purchase?

Computer by Clker-Free-Vector-Images from Pixabay

​( 7 mins )

You Do!

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile.
Suzie has at most y amount of dollars to spend.

How far can Suzie travel if she has at most $10 to spend?

Taxi by Muhammad Hasan Firdaus from Pixabay

​( 6 mins Lap 3)

Demonstration of Learning

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