Ch 8.5 Add and Subtract Rational Expressions

Simplify the sum of the following expression and then state any restrictions on the variable:

 $\frac{4v+2}{v-4}+\frac{v+2}{v-4}$  

•  $\frac{5v+4}{v-4}$ ,  $v\ne4$  

•  $\frac{5v+4}{2v-8}$  ,  $v\ne4$  

•  $5v+4$  ,  $v\ne-4$  

•  $\frac{4v+2}{v-4}$  ,  $v\ne-4$  

Tags

CCSS.HSA.APR.D.7

Simplify the sum of the following expression and then state any restrictions on the variable:

 $\frac{9v+2}{v-6}+\frac{9v+9}{v-6}$  

•  $\frac{18v+11}{v-6}$  , $v\ne6$  

•  $\frac{18v+10}{v-6}$  , $v\ne-6$  

•  $18v+11$  , $v\ne6$  

•  $9v+11$  , $v\ne-6$  

Tags

CCSS.HSA.APR.D.7

Simplify the sum of the following expression and then state any restrictions on the variable:

 $\frac{6w+2}{w-7}+\frac{7w+3}{w-7}$  

•  $\frac{13w+5}{w-7}$  , $w\ne7$  

•  $\frac{14w+3}{2w-14}$  , $w\ne7$  

•  $13w+5$  , $w\ne-7$  

•  $w-7$  , $w\ne-7$  

Tags

CCSS.HSA.APR.D.7

Simplify the sum of the following expression and then state any restrictions on the variable:

 $\frac{9x+9}{x-3}+\frac{8x+7}{x-3}$  

•  $\frac{17x+16}{x-3}$  , $x\ne3$  

•  $\frac{9x+16}{x-3}$  , $x\ne3$  

•  $17x+16$  , $x\ne-3$  

•  $x-3$  , $x\ne-3$  

Tags

CCSS.HSA.APR.D.7

Simplify the sum of the following expression and then state any restrictions on the variable:

 $\frac{v+7}{v-1}+\frac{2v+9}{v-1}$  

•  $\frac{3v+16}{v-1}$  , $v\ne1$  

•  $\frac{3v+16}{v-1}$  , $v\ne-1$  

•  $3v+16$  , $v\ne-1$  

•  $v-1$  , $v\ne1$  

Tags

CCSS.HSA.APR.D.7

Simplify the sum of the following expression and then state any restrictions on the variable:

 $\frac{v+9}{v-1}+\frac{v+6}{v-1}$  

•  $\frac{2v+15}{v-1}$  , $v\ne1$  

•  $\frac{2v+15}{v-1}$  , $v\ne-1$  

•  $2v+15$  , $v\ne1$  

•  $v-1$  , $v\ne-1$  

Tags

CCSS.HSA.APR.D.7

Simplify the sum of the following expression and then state any restrictions on the variable:

 $\frac{2y+2}{y-4}+\frac{4y+5}{y-4}$  

•  $\frac{6y+7}{y-4}$  , $y\ne4$  

•  $\frac{6y+7}{y-4}$  , $y\ne-4$  

•  $6y+7$  , $y\ne4$  

•  $y-4$  , $y\ne4$  

Tags

CCSS.HSA.APR.D.7

Simplify the sum of the following expression and then state any restrictions on the variable:

 $\frac{4z+6}{z-8}+\frac{2z+7}{z-8}$  

•  $\frac{6z+13}{z-8}$  , $z\ne8$  

•  $\frac{6z+13}{z-8}$  , $z\ne-8$  

•  $6z+13$  , $z\ne8$  

•  $z-8$  , $z=-8$  

Tags

CCSS.HSA.APR.D.7

Find the least common multiple of the following polynomials:

 $2x^2\ -\ 18\ \&\ x-3$ 

•  $x-3$  

•  $x+3$  

•  $3$  

•  $-3$  

Find the least common multiple of the following polynomials:

 $3y^2-48\ \&\ y+4$  

•  $y+4$  

•  $y-4$  

•  $4$  

•  $-4$