Foundations of Math 3

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Unit 11 Worksheet 1

Date________________ Period____

Simplify each and state the excluded values. 1)

18 30x - 54

2)

x+6 2x + 12

3)

12k 2 - 4k 20k 2 + 24k

4)

a 2 + a - 72 a 2 + 14a + 45

5)

3 p 3 + 19 p 2 - 72 p 2 p 4 + 14 p 3 + 20 p 2

6)

7x 3 + 8x 2 + x 4x 2 + 2x - 2

8)

28m 2 8m 3

7) -

9)

90n 4 36n 3

x-5 x + 2x - 35 2

3n 2 + 12n + 9 11) 2n 2 + 3n - 9

13)

21x 3 + 123x 2 + 90x 7x 2 + 27x - 40

10)

r + 10 3r + 30

56 + 9b - 2b 2 12) 7b 2 - 54b - 16

14)

5v 2 + 56v + 60 14v 3 + 126v 2 - 140v

Worksheet by Kuta Software LLC ©j G2^0k1t6D GKWudtbaV mSKobfGtRw^a]rJeX ILLL^Cs.S U vAElJle [r`iSgEh\tNs[ eree]suelrQvJeOdy.E k GM`audfeN TwOi[tVh` wIrnCfSiAn^iXtDee YAHlggreAbQrjaT ^2U.

Simplify each expression. 15)

5a - 35 5a - 35 ¸ 8a 2 2a 2

16)

4n 2 n-8 ¸ 2 2 n - 6n - 27 n - 5n - 24

17)

3 k 2 - 9k + 18 × 18 - 6k k-6

18)

n 2 + 6n + 5 n 2 - 19n + 90 × n 2 - 8n - 9 4n 2 + 20n

4x + 28 28x - 24 19) ¸ 2 10x 60x 2 - 70x 3

x 2 - 5x + 4 x 2 + 12x + 35 20) 2 × x + 12x + 35 6x

21)

28m - 12 10m 2 - 2m - 8 × 35m 2 + 13m - 12 2m 2 + 4m - 6

22)

7x 2 + 23x + 6 3x 2 - 25x + 42 ¸ 7x + 2 3x 2 + 2x - 21

23)

2 p 2 - 21 p + 49 16 p + 8 × 16 p + 8 2p - 7

24)

7n - 7 5n 2 + 5n × 7n 2 + 28n - 35 5n 2 + 45n

16m 2 - 72m 4m - 10 25) × 2 2m + 7m - 72 16m 2 - 40m

Worksheet by Kuta Software LLC ©w M2i0n1x6_ EKYuLtbaD jS]oXfJtgwharrueU nLFLzCH.t J KAjlplN ar`iMgDhHtJsX FrAeAsWeDrzvMeVdC.] p PM\aodJej FwDint`h[ JIXnufui^n^ictwed MA]lOgcelb^rsa\ K2W.

Answers to Unit 11 Worksheet 1 3 9 1 3k - 1 6 ; 2) ; {-6} 3) ; 0, 5x - 9 5 2 5k + 6 5 (3 p - 8)( p + 9) x(7x + 1) 1 5n 5) ; {0, -5, -2} 6) ; , -1 7) ; { 0} 2 p( p + 5)( p + 2) 2(2x - 1) 2 2 7 1 1 8) ; {0} 9) ; {5, -7} 10) ; {-10} 2m x+7 3 -7 - 2b 2 3x(7x + 6) 8 5v + 6 12) ; 8, 13) ; , -5 14) ; {0, 1, -10} 7b + 2 7 7x - 8 7 14v(v - 1) 1 4n 2 1 15) 16) 17) 4 n-9 2 ( x - 4)( x - 1) 19) -x - 7 4 20) 21) 6x m+3 23) p - 7 n+1 2 24) 25) (n + 5)(n + 9) m+8 1)

{}

{ }

4)

a-8 ; {-9, -5} a+5

{ }

{ }

11)

3( n + 1 ) 3 ; , -3 2n - 3 2

{ }

{ }

n - 10 4n ( x + 3) 2 22) x-6 18)

Worksheet by Kuta Software LLC ©^ U2v0U1f6S ZKvuQtNau RSNoXfLtZwLalrbeA MLILMCU.k K GASlAls srJiKgzh\tmsC _r[ensweDrIvNeUdj.j g bMWaBdMeA iw\i^tTh[ xIUnGf_iSngi_tMeR CAFlVgYesbYrcaf V2J.

Unit 11 FM3 Worksheet 1.pdf

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