Algebra 2

Schedule:• Class Announcements• Homework Check/Questions• 1.6 Notes• Whiteboard Practice• Begin Homework

Day 1

1.6 – Solving Linear Inequalities

Objectives:1. Graph one-variable inequalities

2. Solve simple inequalities

3. Solve compound inequalities 

Vocabulary: inequality, compound inequality

Algebra 2

Graph one-variable inequalities.

x = 5

x > 5

x < 5

1.6 – Solving Linear Inequalities

Graph the single point on a number line.

Graph the point with an open circle and shade the part of the number line that makes the inequality true.

Graph the point with a colored circle and shade the part of the number line that makes the inequality true.

What do open circles and

colored circles signify?

1.6 – Solving Linear Inequalities

Graph and solve the one-variable inequalities.

2x + 6 < 12

-5x – 25 < -18

2x + 5 > 8x -

17

Compound inequalities – “and” and “or”

and – both conditions must be met

or – one or both conditions must be met

I want to buy a car that is fast and has a great sound system.

1.6 – Solving Linear Inequalities

Compound inequalities – “and” and “or”

and – both conditions must be met

or – one or both conditions must be met

I want to get a dog that is cool-looking and knows tricks.

1.6 – Solving Linear Inequalities

Compound inequalities – “and” and “or”

and – both conditions must be met

or – one or both conditions must be met

I want to purchase a blue or green coat.

1.6 – Solving Linear Inequalities

Compound inequalities – “and” and “or”

and – both conditions must be met

or – one or both conditions must be met

I want a calculator that is a TI-Nspire CX CAS and black.

1.6 – Solving Linear Inequalities

Compound inequalities – “and” and “or”

and – both conditions must be met

or – one or both conditions must be met

The most popular/fresh/cool/gnarly guys like math and have a best friend who is a dog.

1.6 – Solving Linear Inequalities

Compound inequalities – “and” and “or”

and – both conditions must be met

or – one or both conditions must be met

I want a job that is fun to do, and pays really well.

1.6 – Solving Linear Inequalities

Solve & graph the one-variable compound inequalities.

x > 2 and x < 6

-2x < 8 and .25x < 3

-2 < x < 5

-12 < 3x – 3 < 15

1.6 – Solving Linear Inequalities

What do you notice about the shading

for “and” inequalities?

Solve & graph the one-variable compound inequalities.

x < 4 or x > 7

-2x + 7 < 3 or 3x + 5 < 2

3x > 5 or -5x > 50

1.6 – Solving Linear Inequalities

What do you notice about the shading

for “or” inequalities?

Mr. V has to buy milk regularly because Nike leaves it out and it goes bad. Milk requires a minimum temperature of –1 °C and maximum temperature of 5 °C. Write the inequality that describes this situation.

-1 < t < 5

Real-Life Example

#CaughtWithTheMilkOut

Rules for solving inequalities:Switch signs:

1. _______________________________2. _______________________________

Colored Circles (filled in):

Checking:

1.6 – Solving Linear Inequalities

Divide by a negative number.

Multiply by a negative reciprocal.

Used to include numbers when graphing (< and >).

Plug values back into the inequality.

Algebra 2

Homework:• pgs. 45-46 #13-15, 19-21, 25, 37,

43

• Chapter 1 Review on Friday, September 7th

• Chapter 1 Test on Monday, September 10th

Algebra 2

Schedule:• Class Announcements• Wednesday Warm-Up• Homework Check/Questions• Matching Game• Exit Slip• Begin Homework

Day 2

Wednesday Warm-Up

12

15

16

6

5

9

3

5

8

1) What is the area of the figure below?

2) Given the parallelogram below, what is the area of the shaded region?

A) 180 B) 220 C)

240

D) 260 E) 300

A) 24 B) 26 C) 32

D) 38 E) 40

Matching GameInstructions (Part 1 Making the

Cards):• Students will work in pairs• There will be two stacks of cards

• Inequalities• Solve the inequalities on a separate sheet of paper• Put your final answer at the bottom of the “inequality”

card• Graphs

• Once an inequality is solved, draw its graph on a “graph” card

• Alternate roles after each problem• First time: you solve, your partner graphs• Next time: your partner solves, you graph

Matching GameInstructions (Part 2 Matching the

Cards):• When you have written solutions on

each “inequality” card and graphed the solution on each “graph” card, mix the two sets of cards up separately

• Place the cards face down on your desk• Take turns trying to match the

inequalities to their correct graphs• The person with the most pairs of

cards wins

Exit Slip

Solve and graph each inequality.

3) On a scale 1-5, rate your understanding of this lesson. (1 = “I’m lost”, 3 = “I need

practice”, 5 = “This is easy”)

1)

2)

Algebra 2

Homework:• pgs. 45-46 #22, 23, 28, 40-42, 44

• Chapter 1 Review on Friday, September 7th

• Chapter 1 Test on Monday, September 10th