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8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday, October 27, 2016 Due today:Assgn.24.Compound Ineq. pp. 2068 16,18,20,22,24,26,30,36,38,47,50,51 Due tomorrow: Assgn #25. Absolute Value pp. 1501 1,2,7,11,17,18,21,24,30,34,42 Test on Monday through assgn 25

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Page 1: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

1

October 27, 2016

Math 8 AlgThursday, October 27, 

2016

Due today:Assgn.24.Compound Ineq.  pp. 206­8 16,18,20,22,24,26,30,36,38,47,50,51

Due tomorrow: Assgn #25.  Absolute Value pp. 150­1 1,2,7,11,17,18,21,24,30,34,42

Test on Monday through assgn 25

Page 2: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

2

October 27, 2016

Assgn.24.Compound Ineq.  pp. 206­8 16,18,20,22,24,26,30,36,38,47,50,51

Page 3: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

3

October 27, 2016

Page 4: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

4

October 27, 2016

Page 5: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

5

October 27, 2016

Page 6: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

6

October 27, 2016

Page 7: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

7

October 27, 2016

Page 8: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

8

October 27, 2016

REMEMBER:  With Absolute Value, when the "junk" inside the absolute value is positive, YOU LEAVE IT ALONE!

When the "junk" inside the absolute value is negative, take the opposite of it.  

Page 9: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

9

October 27, 2016

Page 10: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

10

October 27, 2016

Page 11: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

11

October 27, 2016

Page 12: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

12

October 27, 2016

Page 13: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

13

October 27, 2016

One way to think of absolute value is to think of itas the distance a number is from zero.  Since distancesare always positive, absolute value is always positive.

Page 14: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

14

October 27, 2016

If x is positive, then:  If x is negative, then:

(The junk inside the absolute value could be positive... so you must leave it alone!)

(The junk inside the absolute value could be negative... so you must take the oppositeof it!)

Therefore the solutions are 4 and ­4... now check them.

Page 15: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

15

October 27, 2016

x=12 or ­x=12x=­12

so 

3 3

or

So x = ­15 or 1

Check: 

YES! YES!

Page 16: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

16

October 27, 2016

­8

Absolute value could never be negative....So no solution!

Page 17: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

17

October 27, 2016

What is your conclusion???

Only ­2 works here!

Page 18: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

18

October 27, 2016

or

So x = ­9 or 12

Check: 

YUP TO BOTH!

Try this one...

Page 19: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

19

October 27, 2016

Try this one... check your solutions.

Page 20: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

20

October 27, 2016

How about this one?

Page 21: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

21

October 27, 2016

Page 22: Math 8 Alg Thursday, October 27,mrhaskellsmath2016-17.weebly.com/uploads/1/5/8/0/15803718/8_al… · 8 Alg Day 33 Oct 27 Absolute Value.notebook 1 October 27, 2016 Math 8 Alg Thursday,

8 Alg Day 33 Oct 27 Absolute Value.notebook

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October 27, 2016