Review Algebra 3/08

What do you have to do to solve this?

 $x^2=16$  

• Square both sides

• Square root both sides

• Multiply by 2 both sides

• Divide by 2 both sides

What is the solution(s) to this?

 $x^2=16$  

• +4

• -4

• 16

• +4 and - 4

What is the solution(s) to this?

 $x^2=7$  

• +7

• -7

•  $\sqrt{7}$  

• Plus minus $\sqrt{7}$  

What is your first step?

 $2x^2=200$  

• Multiply 2 both sides

• Divide 2 both sides

• square root both sides

• Subtract 2 both sides

What are your first 2 steps?

 $3x^2-2=13$  

• Add 2 both sides then divide by 3

• Subtract 2 both sides then divide by 3

• Divide both sides by 3 then add 2

• Multiply both sides by 3 then add 2

What is your first step?

 $2\left(x^2-6\right)=60$  

• Multiply by 2 both sides

• Add 6 to both sides

• Distribute the 2

• Multiply the 2 and the  $x^2$  only

What type of problem is this?

 $3x^2+2+5x^2=10$  

• Variables on both sides

• Two step equation

• Distribute and solve

• Combining like terms

What do you have to do first?

 $\left(x+3\right)^2=25$  

• Subtract 3 both sides

• Add 3 both sides

• Square root both sides

• Divide by 2 both sides

When I square root both sides, what do I get?

 $\left(x+3\right)^2=25$  

• x + 3 = plus minus 25

• x + 3 = plus minus 5

• x + 3 = 25

• x + 3 = 5

What do you need to do first?

 $\left(x-3\right)^2-8=28$  

• Add 8 to both sides

• Subtract 8 both sides

• Add 3 both sides

• Square root both sides