Finding Excluded Values and Simplifying Rational Expressions

Find the excluded value(s). $\frac{45}{10x-10}$  

• a = 0

• a = 10

• a = 1

• a = -1

Tags

CCSS.HSA.APR.D.7

Find the excluded value(s). $\frac{x-5}{x^2-10x+25}$  

• v = 5

• v = 10

• v = -25

• v = -5

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.7

Find the excluded value(s). $\frac{x}{x^2+x-12}$  

• x = - 3 and x = 4

• x = 3 and x = - 4

• x = 3 only

• x = - 4 only

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.7

Find the excluded value(s). $\frac{x\left(x+4\right)}{\left(x^2-16\right)}$  

• x = 4

• x = -4, 4

• x = -16, 16

• x = 0, 4

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Find the excluded value(s). $\frac{x^2+x-90}{x^2+2x-80}$  

• 8, -10

• 8, 9

• -8, 10

• -8, -9

Tags

CCSS.HSA.APR.D.7

What is an excluded value?

• A value that makes the denominator equal to 0

• A number that makes the numerator equal to 0

• The solution

• An ostracized number

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

 $Simplify:\ \ \frac{x^8y^{12}}{x^4y^{15}}$  

•  $\frac{x^4}{y^3}$  

•  $\frac{x^{12}}{y^3}$  

•  $x^{12}y^{27}$  

•  $\frac{y^3}{x^4}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $Simplify:\ \frac{5a^3c^{10}}{20a^5c^4}$  

•  $\frac{4c^6}{a^2}$  

•  $\frac{1a^2c^6}{4}$  

•  $\frac{1c^6}{4a^2}$  

•  $\frac{1a^2}{4c^6}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

 $Simplify:\ \ \frac{8w^3y^{11}}{\left(4w^3y^5\right)^2}$  

•  $\frac{2y}{w^3}$  

•  $\frac{1y}{2w^3}$  

•  $\frac{y^4}{w^2}$  

•  $\frac{1y^{21}}{2w^9}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $Simplify:\ \ \frac{x^2+6x-7}{x^2-49}$  

•  $\frac{x-1}{x+7}$  

•  $\frac{x+1}{x+7}$  

•  $\frac{x-1}{x-7}$  

•  $\frac{x+1}{x-7}$  

Tags

CCSS.HSA.APR.D.6