8.6A Solve Rational Equations Worksheet

1)

 $\frac{3}{4x}\ =\ \frac{5}{x+2}$  

•  $x\ =\ \frac{17}{6}$  

•  $x=\frac{6}{23}$  

•  $x=\frac{23}{6}$  

•  $x=\frac{6}{17}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

2)

 $\frac{-3}{x+1}\ =\ \frac{4}{x-1}$  

•  $x\ =\ 7$  

•  $x=-\frac{1}{7}$  

•  $x=-1$  

•  $x=\frac{1}{7}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

3)

 $\frac{3}{x+2}\ =\ \frac{6}{x-1}$  

•  $x\ =\ 1$  

•  $No\ solution$  

•  $x=-5$  

•  $x=\frac{7}{3}$  

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

4)

 $\frac{x}{x^2-8}\ =\ \frac{2}{x}$  

•  $x\ =\ 4$  

•  $No\ solution$  

•  $x=\pm2\sqrt{2}$  

•  $x=\pm4$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

5)

 $\frac{-2}{x-1}\ =\ \frac{x-8}{x+1}$  

•  $x\ =\ 2,\ 5$  

•  $x=-2,\ -5$  

•  $x=\pm2$  

•  $x=\pm5$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

6)

 $\frac{x^2-3}{x+2}\ =\ \frac{x-3}{2}$  

•  $x\ =\ 0,\ -1$  

•  $No\ solution$  

•  $x=\pm1$  

•  $x=0$  

Tags

CCSS.HSA.REI.A.2

7)

 $\frac{2x}{2x+4}\ =\ \frac{3x}{x+2}$  

•  $x\ =\ 0,\ -2$  

•  $x=0$  

•  $x=\pm4$  

•  $x=8$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

What is the extraneous solution for Problem 7?

• $x=0$

• $x=2$

• $x=-2$

• There isn't one.

Tags

CCSS.HSA.REI.A.2

8)

 $\frac{2x-4}{x^2-10x+16}\ =\ \frac{2}{x+2}$  

•  $x\ =\ 2$  

•  $x=0$  

•  $x=\pm4$  

•  $No\ solution$  

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

What is the extraneous solution for Problem 8?

• $x=0$

• $x=2$

• $x=-2$

• There isn't one.

Tags

CCSS.HSA.REI.A.2