8.5A Adding/Subtracting Rational Expressions Worksheet

1) Simplify each expression:

 $\frac{2y+1}{3y}+\frac{5y+4}{3y}$  

•  $\frac{7y+5}{6y}$  

•  $\frac{7y+5}{3y}$  

•  $4y+5$  

•  $\frac{10y^2+4}{9y^2}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

1) State any restrictions on the variables:

 $\frac{2y+1}{3y}+\frac{5y+4}{3y}$  

•  $y\ne0,-\frac{1}{2},-\frac{4}{5}$  

•  $y\ne-3$  

•  $No\ restrictions$  

•  $y\ne0$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.CED.A.3

2) Simplify each expression:

 $\frac{5n}{30m}+\frac{2m+4n}{30m}$  

•  $\frac{9n+2m}{60m}$  

•  $\frac{3m}{5}$  

•  $\frac{10mn+20n^2}{900m^2}$  

•  $\frac{9n+2m}{30m}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

2) State any restrictions on the variables:

 $\frac{5n}{30m}+\frac{2m+4n}{30m}$  

•  $m\ne0$  

•  $n\ne0$  

•  $m\ne0\ and\ n\ne0$  

•  $No\ restrictions$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.CED.A.3

3) Simplify each expression:

 $\frac{u+5v}{8v^2u^2}-\frac{u-6v}{8v^2u^2}$  

•  $-\frac{1}{8vu^2}$  

•  $\frac{2u-v}{8v^2u^2}$  

•  $-v$  

•  $\frac{11}{8vu^2}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

3) State any restrictions on the variables:

 $\frac{u+5v}{8v^2u^2}-\frac{u-6v}{8v^2u^2}$  

•  $u\ne0\ and\ v\ne0$  

•  $No\ restrictions$  

•  $u\ne0$  

•  $v\ne0$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.CED.A.3

4) Simplify each expression:  $\frac{6y-4}{9y^2-1}+\frac{3y+1}{9y^2-1}$  

•  $\frac{1}{y+1}$  

•  $-\frac{3}{y-1}$  

•  $\frac{3}{y}$  

•  $\frac{3}{3y+1}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

4) State any restrictions on the variables:  $\frac{6y-4}{9y^2-1}+\frac{3y+1}{9y^2-1}$  

•  $y\ne\pm\frac{1}{3}$  

•  $y\ne\frac{1}{9}$  

•  $y\ne0$  

•  $y\ne\pm3$  

Tags

CCSS.HSA.APR.D.7

5) Simplify each expression:  $\frac{4a-5}{6a^2+30a}+\frac{a-1}{6a^2+30a}$  

•  $\frac{5}{11a}$  

•  $\frac{5a+4}{6a\left(a+5\right)}$  

•  $\frac{5a-6}{6a\left(a+5\right)}$  

•  $\frac{2}{3a}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

5) State any restrictions on the variables:  $\frac{4a-5}{6a^2+30a}+\frac{a-1}{6a^2+30a}$  

•  $a\ne-6,-30$  

•  $a\ne0$  

•  $a\ne\pm5$  

•  $a\ne0,-5$  

Tags

CCSS.HSA.APR.D.7