Transcript Algebra/ Geometry 1A

Algebra/ Geometry 1A
Welcome Back!
 New

Students:
Announcements
• 1. Calculators
• 2. Grading
• 3. What the heck is a Math Battle?
Review of Semester 1
Answer the following problems on your own.
Find the perimeter of a rectangle with sides of 10 cm
and 13 cm.
2.
-14 + 7 =
3.
What would be an apporpriate unit to find the weight of
a sock full of quarters, milligrams or kilograms?
4.
14 – (36 – 21) + 32 =
5.
Find the solution, 73 =
6.
4 yds., 3 ft., 5 in.
+ 2 yds., 1 ft., 9 in.
1.
Algebra/ Geometry 1A

Chapter 5: “Equations and inequalities”
 Are You Ready? Turn to page 206 in your text book.
 The distribute property… What is it, why do we use it,
what is the meaning of life?
 That is the meaning of life- Chicago Bears Super
Bowl Champions Baby! (maybe next year  )
Algebra/ Geometry 1A
1.
2.
Announcements:
The Boys basketball teams have some
tough games lined up with Sandwich on
Friday, and Newark on Tuesday. Come
out and support the boys team.
The girls varsity team has the conference
tournament at Seneca coming up.
Section 5.2 Review
 Last
time you learned a couple of “catchy”
phrases to help with algebra. What were
they?
 “You
have one goal in life and that is to get
x by itself.”
 Plug
and Chug Baby!
Section 5.2 Review
 So
why do we use those sayings?
 In
an effort to slay dwarf uprisings?
 Probably not…
 To
defend the world against Killer
Tomatoes?
 Probably not…
Section 5.2 Review
 To
solve basic equations, like this one:
X – 4 = -5
It’s kind of a tricky problem involving
negatives and subtraction, everybody’s
favorites.
Section 5.2 Review
X – 4 = -5
First number on goal in life, get x by itself.
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!
X – 4 = -5
No, ask yourself, how can I get x by itself?
What is on the same side of the equal sign
that has x in it?
I see a, “ – 4” so we need to do the opposite
of subtract 4, which is?
Add 4 to both sides…
X – 4 = -5
Remember like President Bush, Algebra is
an equal opportunity pimp! So then, add 4
to both sides.
X – 4 = -5
After adding 4 to both sides, we should
have:
X – 4 = -5
+4 +4
So then, x = -1
Not so fast, are you finished?
X – 4 = -5
 Not
so fast dude,
 You
have to Plug and
Chug, check your work.
Plug your answer back into the original
equation for x to see if it correct.
Section 5.2 Quiz
Solve for the indicated variable.
1.
2.
3.
4.
5.
6.
7.
X+6=9
X – 4 = -3
X + 17 = -20
3=x–4
7=x+1
-1.3 = x – 2.4
X=4+9
Section 5.3
 In
lesson 5.3, we are still solving one step
equations, just using multiplication and
division.
 You
still have one goal in life, which is?
Section 5.3
 Which
hopefully is not to be like that guy…
Section 5.3
 You
have to get x by itself you mopes!
 So, in the equation 4x = 40 to undo 4
times x, do the opposite, divide 40 by 4.
4x = 40
÷ 4 ÷4
So, x = 10
4x = 40
 Remember
to Plug and Chug, plug 10
back in for x, does 4 times 10 = 40?
 Yes,
all day.
Section 5.3
 It
works the same way for division, just do
the opposite.
 If
it is multiply, you divide.
 If it is divide, you muliply.
 If it is lambchop, then it is…
Section 5.3
 Then
it’s tuna fish…
Section 5.3
 And
remember if you think this is too hard
for you to do, well then…
Section 5.3
 Try
 1.
 2.
 3.
 4.
these on your own:
228 = 4x
6k = 12
5h = 25
x/6 = 6
Section 5.3
 Your
homework assignment is:
Page 220 section 5.3 problems 16 - 36
Algebra Geometry 1A
1.
2.
3.
Announcements:
Section 5.4 Worksheet due, if you have questions, have them
ready.
Today we are discussing like terms and combining like terms
when solving equations.
And in case you were sleeping in a cave on Sunday, you
missed this…

Head coach Lovie Smith of the Chicago Bears receives a shower
from Adewale Ogunleye in the final minute of their 39-14 win against
the New Orleans Saints in the NFC Championship Game at Soldier
Field in Chicago.
You also missed this…

Cedric Benson destroying a weak Saints
linebacker.
And you missed this…
Save the drama for yo momma you punk!
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
 Ok,
enough, time to get down to business.
Section 5.5 is about combining like terms…
Remember…

When combining like terms, think like Da Coach and
don’t take any crap from no one! Who you crapping
Jake Crouse? You thought DA BEARS would lose to
those Nancy boy Saints? Who you crappin’?
Section 5.5
 Like
terms have to have two things:
 The same variable
 And that variable to the same power…
 For
example, 4x and 3x are like terms.
Section 5.5
3m + 5m can be combined to 8m
Can 8x and 4y be combined?
Section 5.5
Now we can combine terms in an equation
to solve for a variable.
3x + 4 = 1x + 2
Section 5.5
Now try the practice exercises on page 229
#1 - 4
Section 5.5
 Your
homework assignment is on page
230 #16 – 44 even’s only.
Math Battle
Event 1:
Check your homework answers for the
following problems and write the answer
on a separate sheet of paper: #18, #24,
#32, and #34.
Math Battle
Event 2:
Solve the following equations:
1.
2.
3.
4x -7 = -15
3(x + 2) = -12
4x + 5 = 2x + 23
Math Battle
Event 3:
Add the following pictures together to solve
the mystery of Stecken’s random riddle…
Math Battle
Picture 1
Math Battle
Picture 2
Math Battle
Picture 3
Math Battle
62
To 42
Algebra Geometry 1A
Section 5.6: “Working with formulas”
Announcements:
1. Today you will be taking your knowledge of equations to
the next level, working with formulas.
2. After you complete this section’s notes and homework
you will be taking a chapter 5 practice test that is worth
45 points (1/2 of a test) so do a good job.
Section 5.6

Using formulas to solve problems.
 What is a formula?


A formula is an equation stating the relationship
between 2 or more variables.
For example, the formula for the area of a rectangle
is: A = LW
• Where:



A = Area of the rectangle
L = length
W = width
Section 5.6

We can use formulas to solve for unknown
measurements.
 In the formula for a rectangle (A = LW), if a
rectangle has an area of 45 and the length is 9,
what is the width?

To solve this problem we will use the formula A =
LW and substitute the values that we know, so
45 = 9w is our new equation.
Section 5.6
45 = 9w
To solve for the width (w) get it by itself,
divide out the 9
45 ÷ 9 = 5
So w = 5, the width of the rectangle is 5.
Section 5.6


We can also use formulas to solve distance using the
distance formula, d=rt, where d is distance, r is rate of
speed, and t is time.
So for example, if Pourchot and Billy were picking up
chicks in Morris in the 1983 Plymouth Voyager mini van
and they were going 60 miles per hour and drove for 5
hours, how far did they travel?
D = rt
D = 60 ∙ 5
D = 300 miles
Section 5.6


We can also solve for variables when there are multiple
variables.
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 the other side of the equal sign (remember when
sending something to the other side of the equal sign
you do the opposite).
 So we need to divide out the a from both sides.
 So, f ÷ a = m
Section 5.6

On your homework assignment, problem 3, you
have to get w by itself. To do this in the formula
A = LW, you have to divide out the L, so your
answer is A ÷ L = W

On your homework assignment, problem 7, 9a =
C, solve for a. To get a by itself, you have to
divide out the 9, so your answer would be a =
C÷ 9
Section 5.6

Your homework assignment is from section 5.6,
pages 234-235, problems #1-8,20,22,26

After you finish your homework you can begin
the chapter 5 practice test. Remember that the
test is worth 45 points. I also want you to show
all work on a separate piece of paper and staple
that to the back of the test.