10/11-10/15 Algebra Raider Prep Review

Solve the following equation:

 $3(2x-10)=5(x-5)+x$  

• x = -5

• No Solution

• x = 5

• Infinitely Many Solutions

Solve for x.

 $6x+10=2\left(3x+5\right)$  

• x = 3

• No Solutions

• Infinitely Many Solutions

• x = 5

Solve the equation for x: 

 $\frac{x-8}{5}=\frac{x+3}{4}$  

• x = 4

• x = 17

• x = -17

• x = -47

Directions: Type your answer in the box. 

Solve the following for the missing value of x.

 $8-\left(2+x\right)=-3$  

Solve for w.

 $P=2l+2w$  

•  $w=P-2l-2$  

•  $w=\frac{p}{2}-2l$  

•  $w=2P-l$  

•  $w=\frac{P-2l}{2}$  

Solve for p.

 $\frac{p-2w}{3}=12$  

•  $p=2w+36$  

•  $p=9-2w$  

•  $p=-9+2w$  

•  $p=15+2w$  

Translate:

"The sum of twice a number, x, and thirteen is two less than triple a number."

• $2x+13=2-3x$

• $2\left(x+13\right)=2<3x$

• $2\left(x+13\right)=3x-2$

• $2x+13=3x-2$

If the area of the rectangle pictured is 408 m², find the width of the rectangle.

• 12 meters

• 7 meters

• 5 meters

• 34 meters

Solve the inequality below for x.

 $-3\left(x-5\right)\ge24$  

•  $x\ge-3$  

•  $x\le-3$  

•  $x\ge-13$  

•  $x\le-13$  

Find the solutions to the inequality below:

 $-7\left(2+4x\right)-2x<-254$  

•  $x<-16$  

•  $x>8$  

•  $x>-5$  

•  $x<-5$