algebra/ geometry 1a

Algebra/ Geometry 1AAlgebra/ Geometry 1A

Welcome Back!Welcome Back!

New Students:New Students: AnnouncementsAnnouncements

• 1. Calculators1. Calculators• 2. Grading2. Grading• 3. What the heck is a Math Battle?3. What the heck is a Math Battle?

Review of Semester 1Review of Semester 1

Answer the following problems on your own.Answer the following problems on your own.

1.1. Find the perimeter of a rectangle with sides of 10 cm Find the perimeter of a rectangle with sides of 10 cm and 13 cm.and 13 cm.

2.2. -14 + 7 = -14 + 7 = 3.3. What would be an apporpriate unit to find the weight of What would be an apporpriate unit to find the weight of

a sock full of quarters, milligrams or kilograms?a sock full of quarters, milligrams or kilograms?4.4. 14 – (36 – 21) + 314 – (36 – 21) + 322 = =5.5. Find the solution, 7Find the solution, 733 = =6.6. 4 yds., 3 ft., 5 in.4 yds., 3 ft., 5 in. + 2 yds., 1 ft., 9 in.+ 2 yds., 1 ft., 9 in.

Algebra/ Geometry 1AAlgebra/ Geometry 1A

Chapter 5: “Equations and inequalities”Chapter 5: “Equations and inequalities” Are You Ready? Turn to page 206 in your text book.Are You Ready? Turn to page 206 in your text book. The distribute property… What is it, why do we use it, The distribute property… What is it, why do we use it,

what is the meaning of life?what is the meaning of life? That is the meaning of life- Chicago Bears Super That is the meaning of life- Chicago Bears Super

Bowl Champions Baby! (maybe next year Bowl Champions Baby! (maybe next year ) )

Algebra/ Geometry 1AAlgebra/ Geometry 1AAnnouncements:Announcements:

1.1. The Boys basketball teams have some The Boys basketball teams have some tough games lined up with Sandwich on tough games lined up with Sandwich on Friday, and Newark on Tuesday. Come Friday, and Newark on Tuesday. Come out and support the boys team.out and support the boys team.

2.2. The girls varsity team has the conference The girls varsity team has the conference tournament at Seneca coming up.tournament at Seneca coming up.

Section 5.2 ReviewSection 5.2 Review

Last time you learned a couple of “catchy” Last time you learned a couple of “catchy” phrases to help with algebra. What were phrases to help with algebra. What were they?they?

““You have one goal in life and that is to get You have one goal in life and that is to get x by itself.”x by itself.”

Plug and Chug Baby!Plug and Chug Baby!


So why do we use those sayings?So why do we use those sayings?

In an effort to slay dwarf uprisings?In an effort to slay dwarf uprisings? Probably not…Probably not…

To defend the world against Killer To defend the world against Killer Tomatoes?Tomatoes?

Probably not…Probably not…


To solve basic equations, like this one:To solve basic equations, like this one:

XX – 4 = -5 – 4 = -5

It’s kind of a tricky problem involving It’s kind of a tricky problem involving negatives and subtraction, everybody’s negatives and subtraction, everybody’s favorites.favorites.


XX – 4 = -5 – 4 = -5

First number on goal in life, get x by itself. First number on goal in life, get x by itself. So ask yourself…So ask yourself…

Ask yourself punk, “Do I feel lucky?” Go ahead, make my day! If you

don’t master this algebra stuff I’d love nothing

more than to give you the five knuckle shuffle upside your head punk!

XX – 4 = -5 – 4 = -5

No, ask yourself, how can I get x by itself? No, ask yourself, how can I get x by itself? What is on the same side of the equal sign What is on the same side of the equal sign that has x in it?that has x in it?

I see a, “ – 4” so we need to do the opposite I see a, “ – 4” so we need to do the opposite of subtract 4, which is?of subtract 4, which is?

Add 4 to both sides…Add 4 to both sides…

XX – 4 = -5 – 4 = -5

Remember like President Bush, Algebra is Remember like President Bush, Algebra is an equal opportunity pimp! So then, add 4 an equal opportunity pimp! So then, add 4 to both sides.to both sides.

XX – 4 = -5 – 4 = -5

After adding 4 to both sides, we should After adding 4 to both sides, we should have:have:

X – 4 = -5X – 4 = -5 +4 +4+4 +4

So then, x = -1So then, x = -1Not so fast, are you finished?Not so fast, are you finished?

XX – 4 = -5 – 4 = -5

Not so fast dude, Not so fast dude,

You have to Plug andYou have to Plug andChug, check your work.Chug, check your work.

Plug your answer back into the original Plug your answer back into the original equation for x to see if it correct.equation for x to see if it correct.

Section 5.2 QuizSection 5.2 Quiz

Solve for the indicated variable.Solve for the indicated variable.

1.1. X + 6 = 9X + 6 = 92.2. X – 4 = -3X – 4 = -33.3. X + 17 = -20X + 17 = -204.4. 3 = x – 43 = x – 45.5. 7 = x + 17 = x + 16.6. -1.3 = x – 2.4-1.3 = x – 2.47.7. X = 4 + 9X = 4 + 9

Section 5.3Section 5.3

In lesson 5.3, we are still solving one step In lesson 5.3, we are still solving one step equations, just using multiplication and equations, just using multiplication and division.division.

You still have one goal in life, which is?You still have one goal in life, which is?


Which hopefully is not to be like that guy…Which hopefully is not to be like that guy…


You have to get x by itself you mopes!You have to get x by itself you mopes! So, in the equation 4x = 40 to undo 4 So, in the equation 4x = 40 to undo 4

times x, do the opposite, divide 40 by 4.times x, do the opposite, divide 40 by 4.

4x = 404x = 40

÷ 4 ÷4÷ 4 ÷4

So, x = 10So, x = 10

4x = 404x = 40

Remember to Plug and Chug, plug 10 Remember to Plug and Chug, plug 10 back in for x, does 4 times 10 = 40?back in for x, does 4 times 10 = 40?

Yes, all day. Yes, all day.


It works the same way for division, just do It works the same way for division, just do the opposite.the opposite.

If it is multiply, you divide.If it is multiply, you divide. If it is divide, you muliply.If it is divide, you muliply. If it is lambchop, then it is…If it is lambchop, then it is…


Then it’s tuna fish…Then it’s tuna fish…


And remember if you think this is too hard And remember if you think this is too hard for you to do, well then…for you to do, well then…


Try these on your own:Try these on your own: 1. 228 = 4x1. 228 = 4x 2. 6k = 122. 6k = 12 3. 5h = 253. 5h = 25 4. x/6 = 64. x/6 = 6


Your homework assignment is:Your homework assignment is:

Page 220 section 5.3 problems 16 - 36Page 220 section 5.3 problems 16 - 36

Algebra Geometry 1AAlgebra Geometry 1AAnnouncements:Announcements:

1.1. Section 5.4 Worksheet due, if you have questions, have them Section 5.4 Worksheet due, if you have questions, have them ready.ready.

2.2. Today we are discussing like terms and combining like terms Today we are discussing like terms and combining like terms when solving equations.when solving equations.

3.3. And in case you were sleeping in a cave on Sunday, you And in case you were sleeping in a cave on Sunday, you missed this…missed this…

Head coach Lovie Smith of the Chicago Bears receives a shower Head coach Lovie Smith of the Chicago Bears receives a shower from Adewale Ogunleye in the final minute of their 39-14 win against from Adewale Ogunleye in the final minute of their 39-14 win against the New Orleans Saints in the NFC Championship Game at Soldier the New Orleans Saints in the NFC Championship Game at Soldier Field in Chicago. Field in Chicago.

You also missed this…You also missed this…

Cedric Benson destroying a weak Saints Cedric Benson destroying a weak Saints linebacker.linebacker.

And you missed this…And you missed this…

Save the drama for yo momma you punk!Save the drama for yo momma you punk!

You also missed this…You also missed this…I knew Mr. Stecken was a

genious predicting the Bears to win. Now I will proclaim my

allegiance to him, like my Bears, he truly is awesome!

Mr. Stecken you are my hero, I can’t help it, I am amazed at your ability to

know that the Bears would annhilate the weak Nancy- like Saints. Oh by the way, we are headed to the Super Bowl! Go

eat some Chicken wings!

Why did I listen to Jake Crouse, now my life is over, I

need to return this New Orleans Saints leather coat. I am such a loser. Mr.

Stecken you truly are awesome.

Section 5.5 Section 5.5

Ok, enough, time to get down to business.Ok, enough, time to get down to business.

Section 5.5 is about combining like terms…Section 5.5 is about combining like terms…

Remember…Remember…

When combining like terms, think like Da Coach and When combining like terms, think like Da Coach and don’t take any crap from no one! Who you crapping don’t take any crap from no one! Who you crapping Jake Crouse? You thought DA BEARS would lose to Jake Crouse? You thought DA BEARS would lose to those Nancy boy Saints? Who you crappin’?those Nancy boy Saints? Who you crappin’?


Like terms have to have two things:Like terms have to have two things: The same variableThe same variable And that variable to the same power…And that variable to the same power…

For example, 4x and 3x are like terms.For example, 4x and 3x are like terms.

Section 5.5 Section 5.5

3m + 5m can be combined to 8m3m + 5m can be combined to 8m

Can 8x and 4y be combined?Can 8x and 4y be combined?


Now we can combine terms in an equation Now we can combine terms in an equation to solve for a variable.to solve for a variable.

3x + 4 = 1x + 23x + 4 = 1x + 2


Now try the practice exercises on page 229 Now try the practice exercises on page 229 #1 - 4#1 - 4


Your homework assignment is on page Your homework assignment is on page 230 #16 – 44 even’s only.230 #16 – 44 even’s only.

Math BattleMath Battle

Event 1:Event 1:

Check your homework answers for the Check your homework answers for the following problems and write the answer following problems and write the answer on a separate sheet of paper: #18, #24, on a separate sheet of paper: #18, #24, #32, and #34.#32, and #34.


Event 2:Event 2:

Solve the following equations:Solve the following equations:

1.1. 4x -7 = -154x -7 = -15

2.2. 3(x + 2) = -123(x + 2) = -12

3.3. 4x + 5 = 2x + 234x + 5 = 2x + 23


Event 3:Event 3:

Add the following pictures together to solve Add the following pictures together to solve the mystery of Stecken’s random riddle…the mystery of Stecken’s random riddle…


Picture 1Picture 1


Picture 2Picture 2


Picture 3Picture 3


6622 To 4 To 42 2

Algebra Geometry 1AAlgebra Geometry 1A

Section 5.6: “Working with formulas”Section 5.6: “Working with formulas”

Announcements: Announcements: 1.1. Today you will be taking your knowledge of equations to Today you will be taking your knowledge of equations to

the next level, working with formulas.the next level, working with formulas.2.2. After you complete this section’s notes and homework After you complete this section’s notes and homework

you will be taking a chapter 5 practice test that is worth you will be taking a chapter 5 practice test that is worth 45 points (1/2 of a test) so do a good job.45 points (1/2 of a test) so do a good job.


Using formulas to solve problems.Using formulas to solve problems. What is a formula?What is a formula?

A formula is an equation stating the relationship A formula is an equation stating the relationship between 2 or more variables.between 2 or more variables.

For example, the formula for the area of a rectangle For example, the formula for the area of a rectangle is: is: A = LWA = LW

• Where:Where: A = Area of the rectangleA = Area of the rectangle L = lengthL = length W = widthW = width


We can use formulas to solve for unknown We can use formulas to solve for unknown measurements.measurements.

In the formula for a rectangle (A = LW), if a In the formula for a rectangle (A = LW), if a rectangle has an area of 45 and the length is 9, rectangle has an area of 45 and the length is 9, what is the width?what is the width?

To solve this problem we will use the formula A To solve this problem we will use the formula A = LW and substitute the values that we know, so = LW and substitute the values that we know, so 45 = 9w is our new equation.45 = 9w is our new equation.


45 = 9w45 = 9w

To solve for the width (w) get it by itself, To solve for the width (w) get it by itself, divide out the 9divide out the 9

45 45 ÷ 9 = 5÷ 9 = 5

So w = 5, the width of the rectangle is 5.So w = 5, the width of the rectangle is 5.


We can also use formulas to solve distance using the We can also use formulas to solve distance using the distance formula, d=rt, where d is distance, r is rate of distance formula, d=rt, where d is distance, r is rate of speed, and t is time.speed, and t is time.

So for example, if Pourchot and Billy were picking up So for example, if Pourchot and Billy were picking up chicks in Morris in the 1983 Plymouth Voyager mini van chicks in Morris in the 1983 Plymouth Voyager mini van and they were going 60 miles per hour and drove for 5 and they were going 60 miles per hour and drove for 5 hours, how far did they travel?hours, how far did they travel?

D = rtD = rtD = 60 D = 60 ∙ 5∙ 5D = 300 milesD = 300 miles


We can also solve for variables when there are multiple We can also solve for variables when there are multiple variables.variables.

In the formula f=ma for force, solve for m.In the formula f=ma for force, solve for m. To do this, we must get m by itself, so we need to send a To do this, we must get m by itself, so we need to send a

to the other side of the equal sign (remember when to the other side of the equal sign (remember when sending something to the other side of the equal sign sending something to the other side of the equal sign you do the opposite).you do the opposite).

So we need to divide out the a from both sides.So we need to divide out the a from both sides. So, f So, f ÷ a = m÷ a = m


On your homework assignment, problem 3, you On your homework assignment, problem 3, you have to get w by itself. To do this in the formula have to get w by itself. To do this in the formula A = LW, you have to divide out the L, so your A = LW, you have to divide out the L, so your answer is A answer is A ÷ L = W÷ L = W

On your homework assignment, problem 7, 9a = On your homework assignment, problem 7, 9a = C, solve for a. To get a by itself, you have to C, solve for a. To get a by itself, you have to divide out the 9, so your answer would be a = divide out the 9, so your answer would be a = C÷ 9C÷ 9


Your homework assignment is from section 5.6, Your homework assignment is from section 5.6, pages 234-235, problems #1-8,20,22,26pages 234-235, problems #1-8,20,22,26

After you finish your homework you can begin After you finish your homework you can begin the chapter 5 practice test. Remember that the the chapter 5 practice test. Remember that the test is worth 45 points. I also want you to show test is worth 45 points. I also want you to show all work on a separate piece of paper and staple all work on a separate piece of paper and staple that to the back of the test.that to the back of the test.

algebra/ geometry 1a

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