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November 2015

### Vincent Maula's Transposing Scribe Post

This is Vincent and this is my first Scribe Post. I am going to teach you how to Transpose. On page 42, “Why Do Girls Like Guys Who Wear Shirts With Eight Buttons”.

Question 1

E 45n-7=10n+2

The First thing you have to do is multiply 45nand 4(-7) before you actually transpose. So 4(5n) is 20n and 4(-7) is -28.

20n-28=10n+2

This will be your new question. Now you will transpose. Lala. Letters Left. NR. Numbers Right. To transpose you will have to make Zero Pairs. To put letters(variables) on the

__you will have to make a zero pair out of the variable that’s on the__**left**__side of the equals sign. So vice versa. To put numbers on the__**right**__you make a zero pair with the numbers(integers) on the__**right**__side of the equals sign.__**left**
20n-28=10n+2

-10n+28 = -10n+28

10n= 30

This will be the result of you transposing. You make a zero pair with -10n because 10n is on the right side and you need to put it on the left side. Positive 10n and negative 10n make a zero pair. -28 is on the left side and you need it on the right side. Negative 28 and positive 28 make a zero pair.

**.You add +28 to one side you add +28 to the other. Do the same with -10n.**__Whatever you do to one side you do to the other__
10n/10=30/10

n=3

Now just solve the equation as you would normally

Time to verify. But you have to verify with the

**. All you have to do is change all the variables with what “n” = to. So in this case “n” is 3. So change all of the n’s to 3**__original question, not the simplified one__
4(5n-7)=10n+2

4[5(3)-7]=10(3)+2

Use the square brackets as the outer brackets because you have the round brackets inside the square ones.

4[15-7]=30+2

4[8]=32

32 =32

N Now another question with less words.

9x+3=4x-3

Multiply.

9x+27=4x-3

Transpose. Make zero pairs.

9x+27=4x-3

-4x -27=-4x-27

The result is

5x=-30

Solve as normal

5x/5=-30/5

x = -6

Now verify. Change all x’s to -6

Note: Use the original question

9x+3=4x-3

9(-6+3)=4(-6)-3

9(-3) =-24-3

-27=-27

I cannot insert a video. My blogger isn't working very good. It will be on tomorrow.

https://www.youtube.com/watch?v=lrz2Vf3u7PI&list=PLTsE3SY8xkMsQO9-MwVTyfVjAv0XYPkCt&index=3

http://whatthafact.cyberpanthers.netdna-cdn.com/wp-content/uploads/2013/09/MATH-collage.jpg

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### Josh's 2 Step Algebra Word Problem Solving (Page 37)

http://images.clipartpanda.com/i-love-math-clipart-images.jpeg

Hello classmates my name is Josh if you didn't already know that by now (

**(╯°□°）╯︵ ┻━┻**I'm done...), so anyways ill be telling you what we did in class which is 2 step algebra word problems.
Ill be using word problem questions 2 and 9 like the ones we did in class but ill put

**ONE**into steps to make it more clear and simple.
(for the people who doesn't know how to make the word problem, well here you go)

#2) Five more than one third of a number is -2. Find the number

**Step 1. Highlight the question that is telling you.**

Five more than one third of a number is -2. Find the number

**Step 2. Write the blank sentence.**

Five more than one third of a number is -2. Find the number

The number is ____.

**Step 3. Write the "Let x" (lettuce)" statement below the blank sentence.**

Five more than one third of a number is -2. Find the number

Let x = the number.

**Step 4. Highlight all the math words.**

Five more than one third of a number is -2. Find the number

Let x = the number.

**Step 5. Write down the math words you've highlighted.**

Five more than one third of a number is -2. Find the number

Let x = the number.

5 More (+5)

__1__of a number

3

is -2 (= -2)

**Step 6. Write it in a 2 step equation formation.**

Five more than one third of a number is -2. Find the number

Let x = the number.

5 More (+5)

__1__x +5 = -2

__1__of a number 3

3

is -2 (= -2)

**Step 7. Solve the equation your own style(ex. right hand side solving).**

Five more than one third of a number is -2. Find the number

Let x = the number.

5 More (+5)

__1x__

__1__of a number 3 = 3(-7)

3 = -21

is -2 (= -2)

**Step 8. Verify your answer and put the isolated variable in the blank sentence.**

Five more than one third of a number is -2. Find the number

__-21____.

Let x = the number.

5 More (+5)

~~ 1~~x

__x__+5 = -2

__1__of a number 3 = 3(-7) 3

3 = -21

__(-21)__+5 = -2

is -2 (= -2) 3 -7 +5 = -2

-2 = -2

#9) The length of a rectangle is 50 meters. This is 6 meters more than twice the width. Find the width.

The length of a rectangle is 50 meters. This is 6 meters more than twice the width. Find the width.

The width is _

__22m___

__m__.

Let w = the width.

twice width (+)6m = Length

50m = length

__2w__+6m = 50m-6m 2w +6m = 50m

6m more (+6) 2 =

__44m__2(22m)+6m= 50m

Twice the width (2w) 2 44m +6m= 50

= 22m

Hopefully the people who don't get the right hand side solving I am sorry but you can do what ever you want other than that, also thank you for the people who will or I mean

**SHOULD**comment on my scribe post so thanks. ( ͡°╭͜Ê–╮͡° )( ͡° ͜Ê– ͡°)( ͡°╭͜Ê–╮͡° )

https://www.youtube.com/watch?v=DfbQjiSooOo

### Nick's Two step Algebra Equation page 36

https://www.gse.harvard.edu/sites/default/files/wp/uploads/math_problem.jpg

Hey guys my name is Nicholas and im going to show you how to do Two step Algebra Equations. So today I am doing um 3 examples, these questions are from "Why did Gonzo walk around carrying ice cream and a pair of sparrows?"

Questions

12. a/2+8=50

6. x\7-8=-10

11. x\10 -11 = 10

So what you want to do here is to rewrite the question first. second you need to reverse the operations. Then you minus or add on both sides. So to undo the division we need to multiply on both sides as well. Now here is the questions. And also don't forget to do your let statements.

a\2+8=50 Verify

a\2+8-8=50-8 a\2 + 8 = 50 50 = 50

(2)a/2=42(2) 21\2 + 8 = 50

a=21 42 + 8 = 50

x\7 -8= -10 x\7 -8 = -10 -10 = -10

x\7-8+8 = -10 + 8 -14\7 -8 = -10

(7)x\7 = -2 (7) -2 - 8 = -10

x = -14

-x\10 -11 = 10 - x\10 -11 =10 10 = 10

-x\10 -11 + 11 = 10 + 11 -2 10/ 10 - 11 =110

-(10)x\10 = 21(10) 21 - 11 = 10

x=210

So as you can see that I reversed the operations and minus or add both sides so I hope that this can help you a lot im sorry if this didn't help you because honestly I find it hard to explain this. I suck :(.

Let me know if I forgot anything so I'll be more prepared at explaining this in the future.

Here is a site that can help you improve on this: https://www.khanacademy.org/math/algebra-basics/core-algebra-linear-equations-inequalities/core-algebra-solving-basic-equations/e/linear_equations_2

Here is a video of explaining how to do this. Like A BETTER way than how I say or write it.

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