unit 4: linear equations in-depth
DESCRIPTION
Unit 4: Linear Equations In-Depth. 4.1 Using m & b to graph equations. Write down this problem on your COMMUNICATOR Be prepared to share your work with the class. Are these two the same? Defend your claim. y = 7x + 8 10y = 70x + 80. Page 40 of your INB. i -can. - PowerPoint PPT PresentationTRANSCRIPT
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Unit 4: Linear Equations In-Depth
4.1 Using m & b to graph equations
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i-can
Are these two the same? Defend your claim.
y = 7x + 8 10y = 70x + 80
Write down this problem on your
COMMUNICATORBe prepared to share your work
with the class.
Page 40 of your INB
write 2x+3y =2(4x-6) in slope-intercept form
![Page 3: Unit 4: Linear Equations In-Depth](https://reader031.vdocuments.us/reader031/viewer/2022020716/56812cd1550346895d918bd8/html5/thumbnails/3.jpg)
ITEMS of BUSINESS
• Nothing.
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Have your homework out on your desk.
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RE-People with 100%, try this honors question:
What is the slope and y-intercept of x = 7?Also, graph x = 7
answer: slope is undefined & the y-intercept does not exist
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Get into your 4-Square Groups
i-can write
in slope-intercept form
𝟐 𝒙+𝟑𝒚=𝟐(𝟒 𝒙−𝟔)
Page 40-41 of your INB
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Y = X +
SLOPE-INTERCEPT FORM
m b
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Today’s i-can involves SKILL.
What kind of SKILL?
SOLVING EQUATION SKILLZ?
GOT SKILLZ?
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How to solve (for y) like a
Step 1: Simplify
ROCKSTAR
Write this down on your foldable.
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Question. . .
simplifyWhat does mean?
Easy. It means make fewer things for youreyeballs to look at. Or fewer things foryour brain to have to focus on.
Example: 1 + 2 + 3 + 4 or 10
Which is easier to look at or to focus on?
simplified!
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simplifyIn math, means . . .
combine like terms.
Example: y = 8x – 2x + 10 +x - 12
Add this to your foldable, step 1.and follow along.
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on your homework problems . . .
COMBINE LIKE TERMS.
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on your homework problems . . .
COMBINE LIKE TERMS.
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simplifyingSo is that all there is to ?
Well no. There’s more. There’s actuallya step that comes before combining like terms . . . .
All you gottado is ? combine like terms
distribute.
Add this to your foldable, step 1.
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Do you recallwhat it means to ?distribute
It means multiply (or divide) everythingINSIDE the group by what’s OUTSIDE the group.
Example: y = -3(2x – 4)
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How to solve (for y) like a
Step 1: Simplify
ROCKSTAR
- distribute- combine like terms
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on your homework problems . . . DISTRIBUTE, then COMBINE LIKE TERMS.
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on your homework problems . . .
COMBINE LIKE TERMS.
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How to solve (for y) like a
Step 2: ISOLATE the “y” term.
ROCKSTAR
Step 1: Simplify- distribute- combine like terms
Write this down on your foldable.
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That’s right! ALONE.ALONE means ALONE. No friends on the same side of the fence. None. Zippo. Nada. Zilch.
Step 2: ISOLATE the y term.
Examples: y – 3x = 19 y + 2x = 3x - 10
Follow along in your foldable.
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on your homework problems . . . DISTRIBUTE, COMBINE LIKE TERMS, ISOLATE Y TERM
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on your homework problems . . .
COMBINE LIKE TERMS.
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How to solve (for y) like a
Step 2: ISOLATE the y term.
ROCKSTAR
Step 1: Simplify- distribute- combine like terms
Step 3: Divide by the y coefficient.
Write this down on your foldable.
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coefficientWHAT. Is a ?
Simple. A COEFFICIENT is a numberthat is multiplied (or divided) by a variable.
Example: 21y or - ½ y
coefficient coefficient
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Step 3: Divide by the y coefficient.
Examples:-6y = 18x - 36 or 3y = 9x + 5
Follow along in your foldable.
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on your homework problems . . . DIVIDE BY THE Y COEFFICIENT
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on your homework problems . . .
COMBINE LIKE TERMS.
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i-can
#40 on homework
write2x + 3y = 2(4x – 6)in slope-intercept form
𝟐 𝒙+𝟑𝒚=𝟐(𝟒 𝒙−𝟔)
![Page 29: Unit 4: Linear Equations In-Depth](https://reader031.vdocuments.us/reader031/viewer/2022020716/56812cd1550346895d918bd8/html5/thumbnails/29.jpg)
on your homework problems . . .
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Worksheet4.2
Change to y=mx+bthen graph