Radical Equations Practice

Solve the equation. Remember to check for extraneous solutions.

 $-7+\sqrt{8p}=-3$  

•  $p=-5$  

•  $p=2$  

•  $p=9$  

•  $p=-10,\ 9$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

Solve the equation. Remember to check for extraneous solutions.

 $-5=\sqrt{7x+2}-9$  

•  $x=-10,\ 8$  

•  $no\ solution$  

•  $x=2$  

•  $x=8$  

Tags

CCSS.HSA.REI.A.2

Solve the equation. Remember to check for extraneous solutions.

 $-48=-6\sqrt{\frac{x}{10}}$  

•  $x=640,\ 9$  

•  $no\ solution$  

•  $x=-2$  

•  $x=640$  

Solve the equation. Remember to check for extraneous solutions.

 $8=\sqrt{8-7n}$  

•  $n=-8,\ -5$  

•  $n=-3$  

•  $n=-8,\ 3$  

•  $n=-8$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

Solve the equation. Remember to check for extraneous solutions.

 $\sqrt{-1-x}=\sqrt{-8-2x}$  

•  $x=7$  

•  $x=-7$  

•  $x=-7,\ 7$  

•  $no\ solution$  

Tags

CCSS.HSA.REI.A.2

Solve the equation. Remember to check for extraneous solutions.

 $\sqrt{2x+11}=\sqrt{x+10}$  

•  $x=-1$  

•  $x=1$  

•  $x=-2$  

•  $no\ solution$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

Solve the equation. Remember to check for extraneous solutions.

 $\sqrt{\frac{m}{10}}=\sqrt{2m-171}$  

•  $m=9$  

•  $m=2$  

•  $m=90$  

•  $no\ solution$  

Solve the equation. Remember to check for extraneous solutions.

 $\sqrt{-1-2n}=\sqrt{3-n}$  

•  $n=-1$  

•  $n=-4$  

•  $n=-5$  

•  $n=4$  

Tags

CCSS.HSA.REI.A.2

Solve the equation. Remember to check for extraneous solutions.

$x=\sqrt{-1-2x}$

• $x=-1,\ 1$

• $x=1$

• $x=-1$

• $no\ solution$

Tags

CCSS.HSA.REI.A.2

Solve the equation. Remember to check for extraneous solutions.

 $\sqrt{40-3k}=k$  

•  $k=-8$  

•  $k=-8,\ 3$  

•  $k=5$  

•  $k=-8,\ 5$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2