Infinite Algebra 2 - HW 8: Adding and Subtracting Rational Expressions

Algebra 2

Name___________________________________ ID: 1

©M ^2D0h1H5v _KbuMtGaO XSIoEfFtcwNair`eJ zLeLiCD.w Z HA_lrlO urGiWgJhrtCsf YrUeOsve_r`v^eQdy.

HW 8: Adding and Subtracting Rational Expressions

Date________________ Period____

Simplify each expression. 1)

2b - 5 b-4 2b - 2 2b - 2

2)

2b + 4 b+3 + 2b + 10 2b + 10

3)

n-5 5n 2 2 6n - 36n 6n - 36n

4)

6b + 3 4 5b + 5 5b + 5

5)

x-4 4x + 3 2 30x + 6x 30x 2 + 6x

6)

2 4 + r-1 r+5

7)

5x x+2 4 x-3

8)

2 6 + b-4 b+1

9)

6x 6 2x 2x - 2

10)

r-6 r-6 + 3 5r - 3

11)

6 n-2 + 3n - 6 n - 4

12)

4 2 + 3v - 5 3v - 2

13)

6 x+5 + 3 2 6x + 24x 2 - 72x

14)

6 3 + 4n - 30n + 36 3n

15)

5 2 + k-1 k+3

16)

5 3x + x-4 x+5

17)

6 3 + x+5 x+2

18)

5m + 5 5 3 6m - 54m 2m

19)

5 b-1 + 2 3 6b 2b - 9b + 9

20)

m+1 3 m+2 m-5

2

Worksheet by Kuta Software LLC ©r V2j0D1L5X VKFuOtiaf aSYocfitDwMaNrGeS ]LLLZCz.z p WAulKlx UriiVg`hMttsJ ZrjeDs^egrJvzesdi.r S vMZaddMey aw\iOtZhZ OILnZf_i`nciRtpeS `ASleghe^bfr`aZ _2G.

Answers to HW 8: Adding and Subtracting Rational Expressions (ID: 1) 1 3b + 7 -4n - 5 6b - 1 2) 3) 4) 2 2 2b + 10 6n - 36n 5b + 5 2 -3x - 7 6r + 6 5x - 19x - 8 8b - 22 5) 6) 7) 8) 2 (r - 1)(r + 5) (b - 4)(b + 1) 30x + 6x 4 ( x - 3) 2 2 3x - 6 5r - 30r -2n - 4 + n 18v - 18 9) 10) 11) 12) (n - 4)(n - 2) (3v - 5)(3v - 2) x-1 3(5r - 3) 3 2 2 18x + 72x - 215x + 5 2n - 12n + 18 7k + 13 13) 14) 15) (k - 1)(k + 3) 6x( x - 2)( x + 6) n(n - 6)(2n - 3) 2 -7x + 25 + 3x 9x + 27 5m + 140 - 15m 2 16) 17) 18) ( x - 4)( x + 5) ( x + 5)( x + 2) 6m(m - 3)(m + 3) 2 4 3 2 10b - 45b + 45 + 6b - 6b m - 7m - 11 19) 20) 3 (m - 5)(m + 2) 6b (b - 3)(2b - 3) 1)

Worksheet by Kuta Software LLC ©T d2[0z1V5n oKRuytlah RSSo_fqtHwtaqrkea jLKLECK.v i `AElNll BroikgZhpthsW ZrieKsCearZvhepdV.^ O SMFaCddeS \wNiotThb VIVntffiPnEiGtkeM OA[lngxerbbrgaG O2F.