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#6 Opener Solutions. Move one more spot to your right. Introduce yourself if needed.

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(1)

1. Sit anywhere in the concentric circles.

Do not move the desks.

2. Take out chapter 6, HW/notes #1-#5,

a pencil, a red pen, and your calculator.

3. Work on opener #6 with the person

sitting across from you.

4. Introduce yourself if needed.

• Leave all of your belongings

except the #6 packet, your

#1-#5 notes/HW, your pencil, and

your calculator at the desk you

are currently sitting at and move

one spot to your right. Introduce

yourself if needed.

• Check your opener solutions, so

far, correct if needed and

continue working.

•Move one more spot to your

right.

•Introduce yourself if needed.

•Check your opener solutions, so

#6 Opener Solutions

1. a2-8ab+16b2

2. 10r2 + 14rs - 12s2

3. (2y + 1)2

4. (2x - 5)(4x2 + 10x + 25)

5. (3m + 4n)(9m2 - 12mn + 16n2)

(2)

HW #5

1. Move one more spot to the right.

2. Introduce yourself if needed.

3. Check solutions for HW #5 with the person

across from you.

4. Look for similarities and differences.

5. Use a red pen correct the differences.

6. Reach a consensus.

HW #5

1. Move one more spot to your right and continue

checking HW #5 solutions.

2. Introduce yourself if needed.

3. Look for similarities and differences.

4. Use a red pen correct the differences.

5. Reach a consunsus.

HW #5 Solutions

1.

d

=

!4,!2

2.

c

=

!2

3.

w

=

!

3

2

,3

4.

n

=

0,3

5.

x

=

!

1

4

, 3

6.

y

=

4,

!

3

7.

r

=

!

6,5

8.

c

=

0,

5

3

9.

x

=

3

2

,

!

7

10.

u

=

!

1

6

,1

3

11.

y

= ±

5

2

12.

a

=

1

4

,4

HW #5 Solutions

13.

b

=

!8,5

14.

n

=!

5

6

,1

15.

2

x

!1+

!6

3

x

+1

or 2x - 1 R -6

16.

x

3

!5

x

2

+10

x

!15+

24

x

+2

or

x

3

!5

x

2

+10

x

!15

R

24

(3)

HW #5 Solutions

17. 2(x - 2)(x2 + 2x + 4)

18. 3(x + 3)(x2 - 3x + 9)

19. (5a + 2b)(25a2 - 10ab + 4b2)

20. (2x + 3)(3m - 7)

HW #5 Solutions

21) (4b + a)(2t - z)

22) 2(5x - 12)(5x + 12)

23)

Linear Programming:

800 Bargain, 300 Deluxe,

Max Profit $125,000

1.Give yourself a grade on HW #5

based on completion and effort.

2.I will be around to get that

grade.

3.Move one more seat to your

“Concentric Circles”

Chapter Six Review

Honors Advanced Algebra

(4)

1. Work only with the person sitting across

from you.

2. One circle will be asked to move.

3. Check your solution with your new

partner, correct if needed.

4. One person will be called on to tell the

answer to the class. If correct, the

“Amazing Bucket of Goodies” is out!

5. Repeat #1-4, as directed, for the whole

activity.

#1

Simplify

"

3

a

3

# $ % % & ' ( (

2

12

a

0

.

Leave all answers with

positive exponents only.

Target Goal • Divide monomials (6.1) Outside Move

"

3

a

6

4

#2

Simplify

24

b

!3

c

!2

bc

!4

(

)

!2

.

Leave all answers with

positive exponents only.

Target Goal • Divide

monomials (6.1)

(5)

24

bc

10

#3

Multiply

:

(2n + 5)2

Target Goal • Multiply monomials and powers of monomials. (6.1) Outside Move

4n2 + 20n + 25

#4

Multiply

:

a

+

2

(

)

(

a

!

3

)

2

Target Goal • Multiply monomials and powers of monomials. (6.1)

(6)

a3 - 4a2 - 3a + 18

#5

Factor Completely:

16r2 - 169

Target Goal • Factor polynomials. (6.5) Outside Move

(4r - 13)(4r + 13)

#6

Factor Completely:

2y2 - 72

Target Goal • Factor polynomials. (6.5)

(7)

2(y - 6)(y + 6)

#7

Factor Completely:

4a2 + a - 3

Target Goal • Factor polynomials. (6.5) Outside Move

(4a - 3)(a + 1)

#8

Solve by factoring:

6n2 -11n =2

Target Goal • Solve by factoring. (6.5)

(8)

n

=

!

1

6

, 2

#9

Factor Completely:

2t3 + 54

Target Goal • Factor polynomials. (6.5) Outside Move

2(t + 3)(t2 - 3t + 9)

#10

Factor Completely:

y

6

!

729

Target Goal • Factor polynomials. (6.5)

(9)

y

+

3

(

)

(

y

!

3

)

(

y

4

+

9

y

2

+

81

)

#11

Divide using long

division.

"

2

x

3

!

5

x

2

+

5

x

+

4

2

x

+

1

Target Goal • Divide polynomials using long division. (6.2)

Outside Move

x2 - 3x + 4

#12

Divide using

synthetic division.

Target Goal

• Divide polynomials using synthetic division. (6.2)

(x4 - 20) ÷ (x + 2)

(10)

x3 - 2x2 + 4x - 8 R -4

#13

Divide

"

36

a

3

b

2

!

12

a

2

b

!

18

ab

!

6

a

2

b

Target Goal • Divide polynomials (split up into 3 fractions and reduce.) (6.2) Outside Move

-6ab + 2 +

"

3

a

#14

Factor Completely.

x2 + 2x - xy - 2y

Target Goal • Factor polynomials (grouping). (6.5)

(11)

(x - y)(x + 2)

#15

Factor Completely.

3

r

2

+

tr

2

!

108

!

36

t

Target Goal • Factor polynomials (grouping). (6.5) Outside Move

t

+

3

( )

(

r

+

6

)

(

r

!

6

)

#16

Solve by Factoring:

b2+3b=40

Target Goal

(12)

b = 5, -8

#17

Simplify:

3

4

#

$

%

%

&

'

(

(

0

Target Goal • Divide monomials. (6.1) Outside Move

1

#18

Simplify:

a

3

b

2

#

$

%

%

&

'

(

(

!

2

Target Goal • Multiply monomials

(13)

1

a

6

b

4

#19

Solve by factoring.

6

a

2

+

22

a

=

8

Outside Move Target Goal • Solve quadratic equations by factoring. (6.5)

a

=

1

3

,

!

4

#20

Simplify:

(4y2 + 2y - 7) + (6y2 - 3y + 2)

(14)

10

y

2

!

y

!

5

#21

Simplify:

(9x + 2y) - (7x - 3y)

Target Goal • Subtract polynomials. (6.1) Outside Move

2

x

+

5

y

#22

Solve by Factoring:

3x2 = 5x

Target Goal • Solve quadratic equations by factoring (6.5)

(15)

x

=

0,5

3

#23

Factor.

36

x

2

!

30

x

!

36

Outside Move Target Goal • Factor polynomials. (6.5)

6 2

(

x

!

3

)

(

3

x

+

2

)

#24

Factor using substitution.

(16)

2

q

!

3

(

)

(

3

q

!

14

)

1. Homework: PRACTICE for the test

2. Do #6 homework

(optional)

3. Read over all ch. 6 notes and homework.

4. Complete Target Goal self assessment.

5. See board for chapter 6 test date.

80 points--45 minutes only!!

6. See board for Portfolio due date.

7. Portfolio

!

list is on the web page.

(You will get a

!

list in class and y

ou will have class time to work on your

portfolio.)

References

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