Simplifying, Multiplying, Dividing Rational Expressions

Simplify.

• $\frac{x+6}{x+4},\ x\ne5$

• $\frac{x+6}{x+4},\ x\ne-5$

• (x+6) $x+6,\ x\ne-4,\ 5$

• $\frac{x+6}{x-5},\ x\ne-4$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify

• $\frac{x-9}{x+9},\ x\ne-9$

• $\frac{1}{x-9},\ x\ne-9$

• $x+9,\ x\ne-9$

• $\frac{1}{x+9},\ x\ne9$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

• $1,\ x\ne-5,\ 8$

• $\frac{x-8}{x+5},\ x\ne-1,\ 5$

• $\frac{x-5}{x+5},\ x\ne-1,\ 8$

• $\frac{x+1}{x+5},\ x\ne-1,\ -8$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Multiply and Simplify

• $\frac{a+5}{\left(a-5\right)\left(a+9\right)},\ a\ne5$

• $\frac{5}{a+9},\ a\ne5$

• $\frac{5a-25}{a+9},\ a\ne5$

• $\frac{1}{a+9},\ a\ne5$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Multiply and Simplify

• $\frac{4\left(x+3\right)}{x+2},\ x\ne-1$

• $\frac{x+2}{4\left(x+1\right)},\ x\ne-3$

• $\frac{x+2}{4\left(x+3\right)},\ x\ne-3$

• $\frac{4\left(x+1\right)}{x+2},\ x\ne-3$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Divide the Rational Expression

• $\frac{1}{6},\ x\ne-10,\ -8,\ 8$

• $\frac{x+10}{6x+60},\ x\ne-8,\ 8$

• $\frac{x+8}{6x+60},\ x\ne-8,\ 8$

• $\frac{x+8}{x-8},\ x\ne-10,\ -8$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Simplify

• $\frac{x+6}{4x},\ x\ne-2,\ 6$

• $\frac{x+6}{2x},\ x\ne-2,\ 6$

• $\frac{x+6}{x},\ x\ne-2,\ 6$

• $2x\left(x+6\right),\ x\ne\ -2,\ 6$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What are the restrictions on the​ variable?

• x ≠ 0, 1/7

• x ≠ 0

• x ≠ 0, 7

• x ≠ 7

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What are the restrictions on the​ variable?

• x ≠ 5, 8, -2

• x ≠ -5, 5, 8, -2

• No restrictions

• x ≠ -5, 5, -8, 2

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.CED.A.3

Simplify

 $\frac{x+9}{x^2+18x+81}$  

•  $\frac{1}{x+9},\ x\ne9$  

•  $\frac{1}{x+9},\ x\ne-9$  

•  $\frac{x}{x+9},\ x\ne-9$  

•  $\frac{1}{x+9},\ x\ne0$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3