#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 far, make corrections if needed, and continue working. #6 Opener Solutions 1. a 2-8ab+16b r rs - 12s 2 3. (2y + 1) 2 4. (2x - 5)(4x x + 25) 5. (3m + 4n)(9m 2-12mn + 16n 2 ) 6. (x + y)(a + b)(a - b) 7. r 2 p2 8. a 4c4 2b2
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 HW #5 Solutions 13. b=!8,5 14. n=! 5 6,1 4. n=0,3 5. x =! 1,3 6. y = 4,! x!1+!6 3x+1 or 2x - 1 R r =!6,5 8. c = 0, u=! 1 6, y=± x = 3 2,!7 12. a= 1 4,4 16. x3!5x2+10x! x+2 or x3!5x2 +10x!15 R 24
3 HW #5 Solutions 17. 2(x - 2)(x 2 + 2x + 4) 18. 3(x + 3)(x 2-3x + 9) 19. (5a + 2b)(25a 2-10ab + 4b 2 ) 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 right. Concentric Circles Chapter Six Review Honors Advanced Algebra w/trigonometry #6 Notes 4. Introduce yourself if needed.
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 2 # & % 3a3 ( % ( $ ' 12a0. Leave all " answers with positive exponents only. Divide monomials (6.1) " 3a6 4 #2 Simplify 24b!3 c!2. ( bc!4 )!2 Leave all answers with positive exponents only. Divide monomials (6.1)
5 24 bc 10 #3 Multiply: (2n + 5) 2 Multiply monomials and powers of monomials. (6.1) 4n n + 25 #4 Multiply: ( a + 2) ( a! 3) 2 Multiply monomials and powers of monomials. (6.1)
6 a 3-4a 2-3a + 18 #5 Factor Completely: 16r Factor polynomials. (6.5) (4r - 13)(4r + 13) #6 Factor Completely: 2y 2-72 Factor polynomials. (6.5)
7 2(y - 6)(y + 6) #7 Factor Completely: 4a 2 + a - 3 Factor polynomials. (6.5) (4a - 3)(a + 1) #8 Solve by factoring: 6n 2-11n =2 Solve by factoring. (6.5)
8 n =! 1 6,2 #9 Factor Completely: 2t Factor polynomials. (6.5) 2(t + 3)(t 2-3t + 9) #10 Factor Completely: y 6! 729 Factor polynomials. (6.5)
9 ( y + 3) ( y! 3) ( y 4 + 9y ) #11 Divide using long division. 2x 3! 5x 2 + 5x+ 4 2x +1 Divide polynomials using long division. (6.2) " x 2-3x + 4 #12 Divide using synthetic division. (x 4-20) (x + 2) Divide polynomials using synthetic division. (6.2)
10 x 3-2x 2 + 4x - 8 R -4 #13 Divide 36a 3 b 2!12a 2 b!18ab!6a 2 b Divide polynomials (split up into 3 fractions and reduce.) (6.2) " -6ab a #14 Factor Completely. x 2 + 2x - xy - 2y " Factor polynomials (grouping). (6.5)
11 #15 Factor Completely. (x - y)(x + 2) 3r 2 + tr 2! 108! 36t Factor polynomials (grouping). (6.5) #16 ( t + 3) ( r + 6) ( r! 6) Solve by Factoring: b 2 +3b=40 Solve quadratic equations by factoring. (6.5)
12 b = 5, -8 #17 Simplify: # % % $ 3 4 & ( ( ' 0 Divide monomials. (6.1) 1 #18 Simplify: # % $ % a3b2 & ( ' (!2 Multiply monomials and powers of monomials. (6.1)
13 #19 1 a 6 b 4 Solve by factoring. 6a a = 8 Solve quadratic equations by factoring. (6.5) #20 Simplify: a = 1 3,!4 (4y 2 + 2y - 7) + (6y 2-3y + 2) Add polynomials. (6.1)
14 #21 10y 2! y! 5 Simplify: (9x + 2y) - (7x - 3y) Subtract polynomials. (6.1) #22 Solve by Factoring: 2x + 5y 3x 2 = 5x Solve quadratic equations by factoring (6.5)
15 #23 Factor. x=0,5 3 36x 2! 30x! 36 Factor polynomials. (6.5) #24 6( 2x! 3) ( 3x + 2) Factor using substitution. ( ) ( q! 4)! 10 6 q! 4 Factor polynomials using substitution. (6.5)
16 1. Homework: PRACTICE for the test 2. Do #6 homework (optional) 3. Read over all ch. 6 notes and homework. ( 2q! 3) ( 3q! 14) 4. Complete 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 you will have class time to work on your portfolio.)
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In the above, the number 19 is an example of a number because its only positive factors are one and itself.
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