Intro Geometry Terms + Algebra Review

Solve the system of equations for x and y. 

 $4x+2y=10$  

 $x-y=13$  

• (4.6, -4.2)

• (-7, 6)

• (-8, 21)

• (6, -7)

• (-6, 17)

Select the correct name(s) of the RAY shown

•  $\overline{XY}$  

•  $\overrightarrow{XY}$  

•  $\overrightarrow{YX}$  

•  $\overleftarrow{YX}$  

Given:  $\overline{YS}\cong\overline{XT}$  ,   $\overline{YT}\cong\overline{XS}$    $XT=2r+13$   $XS=3m+7$  , $YS=r+9$  , $YT=9m+3$  

r = _______________

 $2\left(x-6\right)=\frac{3}{2}\left(8+4x\right)$  

x = ________

Given  $RO$   bisects  $\angle NRP$  .  Which of the following must be true?

•  $\angle NOR\cong\angle POR$  

•  $\angle NRO\cong\angle PRO$  

•  $\angle NRP\cong\angle NOP$  

•  $\angle NOR\cong\angle NRO$  

Which of the following is NOT a name for the angle shown?

•  $\angle CED$  

•  $\angle EDC$  

•  $\angle E$  

•  $\angle DEC$  

 $\frac{x+4}{3}=\frac{2x+1}{9}$  

Solve for x.

The perimeter of rectangle ABCD is 66 and  $\overline{CB}$  is twice as long as  $\overline{CD}$  .  How long is  $\overline{AD}$  ?

Given  $m\angle ABX=3x-5$   and  $m\angle XBC=x+27$  . Additionally,  $\overrightarrow{BX}$   bisects  $\angle ABC$  .

 $m\angle ABC=$  ________ $\degree$  

Solve the system of equations for x and y. Write your solution as a coordinate point.

 $3x-5y=10$  

 $2x+3y=13$