 Enter the classroom quietly and on time with the necessary supplies.  Raise hand to be recognized.  Follow all directions the first time given.  Do not move or remove objects without permission.  Keep hands, feet & objects to yourself --- NO hitting!  Respect others --- no name-calling, teasing, bullying, vulgarity or profanity will be tolerated. C LASSROOM R ULES

Entering the classroom --- quietly and respectfully & start on bell-work. Placement of school bags and personal items in the classroom --- on left side of desk or under your desk. Bell-work --- quietly and independently. Taking roll --- students must sit in assigned seat or you will be marked absent. Sharpening pencils --- hold up pencil. Going to the trash can --- at the end of class on your way out of the classroom. C LASSROOM P ROCEDURES

Handing out papers --- Teacher hands out papers, student writes name on paper & waits for instruction. Turning in papers --- face down in class folder. Participating in class discussions --- raise hand and wait to be called upon. Getting the student’s attention --- Teacher will raise hand. Classwork --- Class participation is encouraged and considered into student’s grade. Getting help --- raise hand, but only after directions have been given. Dismissing class --- Teacher dismisses class, not the bell. C LASSROOM P ROCEDURES

First time a student breaks a rule: Warning --- visual or verbal reprimand. Second time a student breaks a rule: Complete think sheet for next school day. Third time a student breaks a rule: Talk with teacher in hall; complete think sheet for next school day. Fourth time a student breaks a rule: Talk with teacher in hall; complete think sheet for next school day. Call to parents. Severe Clause:Sent to Assistant Principal or Principal C ONSEQUENCES I don’t send you to the office if you should mess up; rather, you send yourself with choices you make.

Make-up classwork --- all assignments will be posted in the make-up binder. It is YOUR responsibility to get any missed assignments and bell work. Make-up tests --- discuss with Teacher. Fire/tornado drills --- line up quietly & quickly and follow Teacher’s directions. Observers & visitors --- many observers and visitors will be in the classroom this year, please (1) be respectful when interacting with observer, & (2) participate in class like it was a normal day of instruction. C LASSROOM P ROCEDURES

YES! YES! YES! I am firm, fair and very consistent. I don’t play favorites because I LOVE all of my students! This is A Promise! W ILL MY TEACHER TREAT ME FAIRLY ?

Algebra 1 A = 93 – 100 B = 85 – 92 C = 75 – 84 D = 67 – 74 F = 0 – 66 H OW WILL I BE GRADED ?

A LGEBRA CHAPTER 6 Solving and Graphing Linear Inequalities

O NE - STEP LINEAR INEQUALITIES —6.1

V OCABULARY An equation is formed when an equal sign (=) is placed between two expressions creating a left and a right side of the equation An equation that contains one or more variables is called an open sentence When a variable in a single-variable equation is replaced by a number the resulting statement can be true or false If the statement is true, the number is a solution of an equation Substituting a number for a variable in an equation to see whether the resulting statement is true or false is called checking a possible solution

I NEQUALITIES Another type of open sentence is called an inequality. An inequality is formed when and inequality sign is placed between two expressions A solution to an inequality are numbers that produce a true statement when substituted for the variable in the inequality

I NEQUALITY S YMBOLS Listed below are the 4 inequality symbols and their meaning <Less than ≤Less than or equal to >Greater than ≥Greater than or equal to Note: We will be working with inequalities throughout this course…and you are expected to know the difference between equalities and inequalities

G RAPHS OF LINEAR INEQUALITIES Graph (1 variable) The set of points on a number line that represents all solutions of the inequality

G RAPHS OF LINEAR INEQUALITIES

W RITING LINEAR INEQUALITIES Bob hopes that his next math test grade will be higher than his current average. His first three test scores were 77, 83, and 86. Why would an inequality be best in this case? How can we come up with this inequality? Graph!

S OLVING ONE - STEP LINEAR INEQUALITIES Equivalent Inequalities Two or more inequalities with exactly the same solution Manipulating Inequalities All of the same rules apply to inequalities as equations * When multiplying or dividing by a negative number, we have to switch the inequality! Less than becomes greater than, etc.

S OLVING WITH ADDITION / SUBTRACTION

S OLVING WITH MULTIPLICATION / DIVISION

W HY DO WE HAVE TO CHANGE THE SIGN ? Is there another way we can solve this?

S OLVING MULTI - STEP LINEAR INEQUALITIES —6.2 A LGEBRA CHAPTER 6 Solving and Graphing Linear Inequalities

M ULTI STEP INEQUALITIES Treat inequalities just like you would normal, everyday equations* *change the sign when multiplying or dividing by a negative!!

E XAMPLES :

E XAMPLE You plan to publish an online newsletter that reports the results of snow cross competitions. You do not want your monthly costs to exceed $2370. Your fixed monthly costs are $1200. You must also pay $130 per month to each article writer. How many writers can you afford to hire in a month?

E XAMPLES : T RY THESE ON YOUR OWN !

o o ● ● Answer Now 1) W HICH GRAPH REPRESENTS THE CORRECT ANSWER TO > 1

2) W HEN SOLVING > -10 WILL THE INEQUALITY SWITCH ? 1. Yes! 2. No! 3. I still don’t know! Answer Now

3) W HEN SOLVING WILL THE INEQUALITY SWITCH ? 1. Yes! 2. No! 3. I still don’t know! Answer Now

4) S OLVE -8 P ≥ p ≥ p ≥ p ≤ p ≤ -12 Answer Now

o o ● ● Answer Now 5) S OLVE 7 V < -105

C LASS WORK : P.343 #15-37 ODD I F YOU DO NOT FINISH IN CLASS, THEN IT BECOMES HOMEWORK !

C OMPOUND INEQUALITIES —6.3 A LGEBRA CHAPTER 6 Solving and Graphing Linear Inequalities

C OMPOUND INEQUALITY What does compound mean? Compound fracture? So…what’s a compound inequality? An inequality consisting of two inequalities connected by an and or an or

G RAPHING C OMPOUND I NEQUALITIES Graph the following:

G RAPHING C OMPOUND I NEQUALITIES Graph the following:

G RAPHING C OMPOUND I NEQUALITIES Graph the following: All real numbers that are greater than or equal to -2 and less than 3

S OLVING C OMPOUND INEQUALITIES Again….treat these like equations! Whenever we do something to one side… …We do it to every side!

S OLVING C OMPOUND I NEQUALITIES

HOMEWORK : P.349 #12-36 EVEN

S OLVING A BSOLUTE -V ALUE E QUATIONS AND I NEQUALITIES —6.4 (D AY 1)

A BS. V ALUE What is Absolute Value? Distance from zero What does that mean?

A BS. V ALUE So….an absolute value equation has how many solutions? Is this always true?

A BS. V ALUE How do we apply this to equations? Ex:

E XAMPLES

P.356#19-36

S OLVING A BSOLUTE -V ALUE E QUATIONS AND I NEQUALITIES —6.4 (D AY 2)

A BSOLUTE V ALUE AND I NEQUALITIES

E XAMPLES