Unit 8 Lesson 8: Solving Radical Equations and Inequalities

Solve the equation.
 $\sqrt{4x+1}=3$  

•  $x=2$  

•  $x=\frac{5}{2}$  

•  $x=\frac{1}{2}$  

•  $x=4$  

Solve the equation.
 $4-\left(7-y\right)^{\frac{1}{2}}=0$  

•  $y=-9$  

•  $y=9$  

• No Solution

•  $y=3$  

Solve the equation.
 $1+\sqrt{x+2}=0$  

• No solution

•  $x=-1$  

•  $x=1$  

•  $x=2$  

Solve the equation.
 $\sqrt{2x-7}=\sqrt{x+2}$  

•  $x=9$  

•  $x=-9$  

• No solution

•  $x=11$  

Solve the equation.

• $m=5$

• No solution

• $m=\frac{7}{5}$

• $m=7$

Solve the equation.

• $c=9$

• No solution

• $c=5$

• $c=7$

Solve the equation.
 $\left(3x-2\right)^{\frac{1}{5}}+6=5$  

•  $x=\frac{1}{3}$  

• No solution

•  $x=3$  

•  $x=1$  

Solve the inequality.
 $\sqrt{2x+3}-4\le5$  

•  $-\frac{3}{2}\le x\le39$  

•  $-\frac{3}{2}\le x$  

•  $x\le39$  

• No solution

Solve the inequality.
 $5-\sqrt{b-7}\ge10$  

• No solution

•  $7\le x\le32$  

•  $7\le x$  

•  $x\le32$  

 $-2+\sqrt{9-5x}\ge6$  Solve the inequality.

•  $x\le-11$  

• No solution

•  $x\le\frac{9}{5}$  

•  $-11\le x\le\frac{9}{5}$