Free Printable Intro Geometry Terms + Algebra Review

1.

Solve the system of equations for x and y.

4x+2y=10

x-y=13

a)

(4.6, -4.2)

b)

(-7, 6)

c)

(-8, 21)

d)

(6, -7)

e)

(-6, 17)

2.

Select the correct name(s) of the RAY shown

a)

$\overline{XY}$

b)

$\overrightarrow{XY}$

c)

$\overrightarrow{YX}$

d)

$\overleftarrow{YX}$

3.

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

r = (a)

4.

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

x = (a)

5.

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

a)

$\angle NOR\cong\angle POR$

b)

$\angle NRO\cong\angle PRO$

c)

$\angle NRP\cong\angle NOP$

d)

$\angle NOR\cong\angle NRO$

6.

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

a)

$\angle CED$

b)

$\angle EDC$

c)

$\angle E$

d)

$\angle DEC$

7.

$\frac{x+4}{3}=\frac{2x+1}{9}$

Solve for x.

(a)

8.

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

(a)

9.

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

m\angle ABC=

(a)

\degree

10.

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

$3x-5y=10$

$2x+3y=13$

(a)

11.

Given:

\overline{DC}\ \perp\ \overline{AB}

Find:

m\angle ECB\ =

_______

\degree

a)

$38\degree$

b)

$52\degree$

c)

$90\degree$

d)

$19\ \frac{1}{3}\degree$

e)

$64\degree$

12.

D is the midpoint of $\overline{FE}$ . What conclusion(s) can we draw as a result?

a)

$\angle FDG\cong\angle GDE$

b)

$\overline{DG}\perp\overline{FE}$

c)

$\overline{FD}\cong\overline{DE}$

d)

$\overline{FD}\cong\overline{DG}$

13.

Given: $m\angle EBD=\left(x+10\right)\degree$ , $m\angle DBE=60\degree$ , $m\angle A=\left(x+5\right)\degree$ , and $\angle CBD\cong\angle DBE$ .
Find: $m\angle A$

a)

$m\angle A=55\degree$

b)

$m\angle A=60\degree$

c)

$m\angle A=50\degree$

d)

$m\angle A=110\degree$

e)

$m\angle A=70\degree$

14.

Challenge: $\angle TRS$ is a straight angle, $\angle TRX$ is a right angle, $m\angle TRS=2x+5y$ , and $m\angle XRS=3x+3y$ .

Solve for x and y. Select your solutions below:

a)

x = -6, y = 34

b)

x = -10, y = 40

c)

x = -90, y =72

d)

x = 15, y = 40

Intro Geometry Terms + Algebra Review

Total questions: 14

Worksheet time: 1hrs 3mins

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