Question 1

Find the center and radius of the circle.
-$2 x ^ { 2 } + 2 y ^ { 2 } + 8 x + 12 y + 24 = 0$

Accepted Answer

A)  $( - 3 , - 2 ) , \mathrm { r } = 1$ 
B)  $( - 2 , - 3 ) , \mathrm { r } = 1$ 
C)  $( 2,3 ) , r = 1$ 
D)  $( 3,2 ) , \mathrm { r } = 1$ 
A)  $( - 3 , - 2 ) , \mathrm { r } = 1$ 
B)  $( - 2 , - 3 ) , \mathrm { r } = 1$ 
C)  $( 2,3 ) , r = 1$ 
D)  $( 3,2 ) , \mathrm { r } = 1$ B

Question 2

Choose the equation that matches the graph.
-

Accepted Answer

A) y - 2 = 0 
B) x + 2 = 0 
C) x - 2 = 0 
D) y + 2 = 0 
A) y - 2 = 0 
B) x + 2 = 0 
C) x - 2 = 0 
D) y + 2 = 0 C

Question 3

Find the slope of the line through the points.
-(-3, 3)and (-7, 2)

Accepted Answer

A)  4 
B)  $\frac { 1 } { 4 }$ 
C)  $- \frac { 1 } { 4 }$ 
D)  $- \frac { 1 } { 2 }$ 
A)  4 
B)  $\frac { 1 } { 4 }$ 
C)  $- \frac { 1 } { 4 }$ 
D)  $- \frac { 1 } { 2 }$ B

Question 4

Write the equation of a circle with the given center and radius.
-Center at (-9, 0); Radius 11

Accepted Answer

A)  $( x - 9 ) ^ { 2 } + y ^ { 2 } = 121$ 
B)  $x ^ { 2 } + ( y + 9 ) ^ { 2 } = 11$ 
C)  $( x + 9 ) ^ { 2 } + y ^ { 2 } = 121$ 
D)  $x ^ { 2 } + ( y - 9 ) ^ { 2 } = 11$ 
A)  $( x - 9 ) ^ { 2 } + y ^ { 2 } = 121$ 
B)  $x ^ { 2 } + ( y + 9 ) ^ { 2 } = 11$ 
C)  $( x + 9 ) ^ { 2 } + y ^ { 2 } = 121$ 
D)  $x ^ { 2 } + ( y - 9 ) ^ { 2 } = 11$

Question 5

Solve the problem.
-If the slope of the road shown is $\frac { 2 } { 3 }$, find the value for $h$ if $\mathrm { v } = 1 \mathrm { ft }$.

Accepted Answer

A)  $\frac { 3 } { 2 } \mathrm { ft }$ 
B)  $2 \mathrm { ft }$ 
C)  $3 \mathrm { ft }$ 
D)  $1 \mathrm { ft }$ 
A)  $\frac { 3 } { 2 } \mathrm { ft }$ 
B)  $2 \mathrm { ft }$ 
C)  $3 \mathrm { ft }$ 
D)  $1 \mathrm { ft }$

Question 6

Complete the ordered pairs. Then graph the equation.
-$y=x-2$
$(0,),(, 0),(3,)$

Accepted Answer

A)  $( 0 , - 2 ) , ( - 2,0 ) , ( 3 , - 5 )$
  
B)  $( 0,2 ) , ( - 2,0 ) , ( 3,5 )$
  
C)  $( 0,2 ) , ( 2,0 ) , ( 3 , - 1 )$
  
D)  $( 0 , - 2 ) , ( 2,0 ) , ( 3,1 )$
  
A)  $( 0 , - 2 ) , ( - 2,0 ) , ( 3 , - 5 )$
  
B)  $( 0,2 ) , ( - 2,0 ) , ( 3,5 )$
  
C)  $( 0,2 ) , ( 2,0 ) , ( 3 , - 1 )$
  
D)  $( 0 , - 2 ) , ( 2,0 ) , ( 3,1 )$

Question 7

Graph the following line.
-Through $( 0,2 ) , \mathrm { m } = \frac { 1 } { 6 }$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 8

Find the center and radius of the circle.
-$x ^ { 2 } + y ^ { 2 } - 16 x + 18 y = - 141$

Accepted Answer

A)  $( - 9,8 ) , r = 2$ 
B)  $( - 8,9 ) , r = 4$ 
C)  $( 9 , - 8 ) , r = 4$ 
D)  $( 8 , - 9 ) , r = 2$ 
A)  $( - 9,8 ) , r = 2$ 
B)  $( - 8,9 ) , r = 4$ 
C)  $( 9 , - 8 ) , r = 4$ 
D)  $( 8 , - 9 ) , r = 2$

Question 9

$\text { Locate the point on the rectangular coordinate system. }$
 
-(-3, 0)

Accepted Answer

A) G 
B) C 
C) F 
D) J 
A) G 
B) C 
C) F 
D) J

Question 10

Choose the equation that matches the graph.
-

Accepted Answer

A)  $( x - 9 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 25$ 
B)  $( x + 9 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 25$ 
C)  $( x - 9 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 25$ 
D)  $( x + 9 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 25$ 
A)  $( x - 9 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 25$ 
B)  $( x + 9 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 25$ 
C)  $( x - 9 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 25$ 
D)  $( x + 9 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 25$

Question 11

If the coordinates of one endpoint of a line segment are (0, 0)and the coordinates of the midpoint of
the segment are (p, q), then the coordinates of the other endpoint are (-p, -q).

Accepted Answer

A) True 
 B)False

Question 12

Find the slope of the line through the points.
-(-5, -12)and (-19, 10)

Accepted Answer

A)  $- \frac { 11 } { 7 }$ 
B)  $\frac { 1 } { 12 }$ 
C)  $- \frac { 7 } { 11 }$ 
D)  $\frac { 11 } { 7 }$ 
A)  $- \frac { 11 } { 7 }$ 
B)  $\frac { 1 } { 12 }$ 
C)  $- \frac { 7 } { 11 }$ 
D)  $\frac { 11 } { 7 }$

Question 13

Graph the following line.
-Through $( - 2 , - 2 ) , \mathrm { m } = 4$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 14

Find the midpoint of the line segment joining the two points.
-$( 6,2 )$ and $( 0,7 )$

Accepted Answer

A)  $\left( 3 , - \frac { 5 } { 2 } \right)$ 
B)  $( 6 , - 5 )$ 
C)  $( 6,9 )$ 
D)  $\left( 3 , \frac { 9 } { 2 } \right)$ 
A)  $\left( 3 , - \frac { 5 } { 2 } \right)$ 
B)  $( 6 , - 5 )$ 
C)  $( 6,9 )$ 
D)  $\left( 3 , \frac { 9 } { 2 } \right)$

Question 15

Give the quadrant in which the point is located.
-(8, 4)

Accepted Answer

A) Quadrant IV 
B) Quadrant III 
C) Quadrant II 
D) Quadrant I 
A) Quadrant IV 
B) Quadrant III 
C) Quadrant II 
D) Quadrant I

Question 16

$\text { Locate the point on the rectangular coordinate system. }$
 
-(-3, 4)

Accepted Answer

A) B 
B) K 
C) F 
D) A 
A) B 
B) K 
C) F 
D) A

Question 17

Choose the equation that matches the graph.
-

Accepted Answer

A) y - 3 = 0 
B) x - 3 = 0 
C) y + 3 = 0 
D) x + 3 = 0 
A) y - 3 = 0 
B) x - 3 = 0 
C) y + 3 = 0 
D) x + 3 = 0

Question 18

Find the center and radius of the circle.
-$( x - 1 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 64$

Accepted Answer

A)  $( 4 , - 1 ) , \mathrm { r } = 64$ 
B)  $( 1 , - 4 ) , r = 8$ 
C)  $( - 1,4 ) , r = 64$ 
D)  $( - 4,1 ) , \mathrm { r } = 8$ 
A)  $( 4 , - 1 ) , \mathrm { r } = 64$ 
B)  $( 1 , - 4 ) , r = 8$ 
C)  $( - 1,4 ) , r = 64$ 
D)  $( - 4,1 ) , \mathrm { r } = 8$

Question 19

Identify whether the slope is positive, negative, zero, or undefined.
-

Accepted Answer

A) Positive 
B) Undefined 
C) Zero 
D) Negative 
A) Positive 
B) Undefined 
C) Zero 
D) Negative

Question 20

Write the equation of a circle with the given center and radius.
-Center at (0, 0); Radius 7

Accepted Answer

A)  $x ^ { 2 } - y ^ { 2 } = 7$ 
B)  $x ^ { 2 } - y ^ { 2 } = \sqrt { 7 }$ 
C)  $x ^ { 2 } + y ^ { 2 } = 7$ 
D)  $x ^ { 2 } + y ^ { 2 } = 49$ 
A)  $x ^ { 2 } - y ^ { 2 } = 7$ 
B)  $x ^ { 2 } - y ^ { 2 } = \sqrt { 7 }$ 
C)  $x ^ { 2 } + y ^ { 2 } = 7$ 
D)  $x ^ { 2 } + y ^ { 2 } = 49$

Find the center and radius of the circle. - $2 x ^ { 2 } + 2 y ^ { 2 } + 8 x + 12 y + 24 = 0$

Choose the equation that matches the graph. -

Find the slope of the line through the points. -(-3, 3)and (-7, 2)

Write the equation of a circle with the given center and radius. -Center at (-9, 0); Radius 11

Solve the problem. -If the slope of the road shown is $\frac { 2 } { 3 }$ , find the value for $h$ if $\mathrm { v } = 1 \mathrm { ft }$ . $Solve the problem. -If the slope of the road shown is \frac { 2 } { 3 } , find the value for h if \mathrm { v } = 1 \mathrm { ft } .$

Complete the ordered pairs. Then graph the equation. - $y=x-2$ $(0,),(, 0),(3,)$

Graph the following line. -Through $( 0,2 ) , \mathrm { m } = \frac { 1 } { 6 }$ $Graph the following line. -Through ( 0,2 ) , \mathrm { m } = \frac { 1 } { 6 }$

Find the center and radius of the circle. - $x ^ { 2 } + y ^ { 2 } - 16 x + 18 y = - 141$

$\text { Locate the point on the rectangular coordinate system. }$ $\text { Locate the point on the rectangular coordinate system. } -(-3, 0)$ -(-3, 0)

Choose the equation that matches the graph. -

If the coordinates of one endpoint of a line segment are (0, 0)and the coordinates of the midpoint of the segment are (p, q), then the coordinates of the other endpoint are (-p, -q).

Find the slope of the line through the points. -(-5, -12)and (-19, 10)

Graph the following line. -Through $( - 2 , - 2 ) , \mathrm { m } = 4$ $Graph the following line. -Through ( - 2 , - 2 ) , \mathrm { m } = 4$

Find the midpoint of the line segment joining the two points. - $( 6,2 )$ and $( 0,7 )$

Give the quadrant in which the point is located. -(8, 4)

$\text { Locate the point on the rectangular coordinate system. }$ $\text { Locate the point on the rectangular coordinate system. } -(-3, 4)$ -(-3, 4)

Choose the equation that matches the graph. -

Find the center and radius of the circle. - $( x - 1 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 64$

Identify whether the slope is positive, negative, zero, or undefined. -

Write the equation of a circle with the given center and radius. -Center at (0, 0); Radius 7

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

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Exam 8: Graphs, Functions, and Systems of Equations and Inequalities

Find the center and radius of the circle. - 2x2+2y2+8x+12y+24=02 x ^ { 2 } + 2 y ^ { 2 } + 8 x + 12 y + 24 = 02x2+2y2+8x+12y+24=0

Choose the equation that matches the graph. -

Find the slope of the line through the points. -(-3, 3)and (-7, 2)

Write the equation of a circle with the given center and radius. -Center at (-9, 0); Radius 11

Solve the problem. -If the slope of the road shown is 23\frac { 2 } { 3 }32​ , find the value for hhh if v=1ft\mathrm { v } = 1 \mathrm { ft }v=1ft .

Complete the ordered pairs. Then graph the equation. - y=x−2y=x-2y=x−2 (0,),(,0),(3,)(0,),(, 0),(3,)(0,),(,0),(3,)

Graph the following line. -Through (0,2),m=16( 0,2 ) , \mathrm { m } = \frac { 1 } { 6 }(0,2),m=61​

Find the center and radius of the circle. - x2+y2−16x+18y=−141x ^ { 2 } + y ^ { 2 } - 16 x + 18 y = - 141x2+y2−16x+18y=−141

Locate the point on the rectangular coordinate system. \text { Locate the point on the rectangular coordinate system. } Locate the point on the rectangular coordinate system. -(-3, 0)

Choose the equation that matches the graph. -

If the coordinates of one endpoint of a line segment are (0, 0)and the coordinates of the midpoint of the segment are (p, q), then the coordinates of the other endpoint are (-p, -q).

Find the slope of the line through the points. -(-5, -12)and (-19, 10)

Graph the following line. -Through (−2,−2),m=4( - 2 , - 2 ) , \mathrm { m } = 4(−2,−2),m=4

Find the midpoint of the line segment joining the two points. - (6,2)( 6,2 )(6,2) and (0,7)( 0,7 )(0,7)

Give the quadrant in which the point is located. -(8, 4)

Locate the point on the rectangular coordinate system. \text { Locate the point on the rectangular coordinate system. } Locate the point on the rectangular coordinate system. -(-3, 4)

Choose the equation that matches the graph. -

Find the center and radius of the circle. - (x−1)2+(y+4)2=64( x - 1 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 64(x−1)2+(y+4)2=64

Identify whether the slope is positive, negative, zero, or undefined. -

Write the equation of a circle with the given center and radius. -Center at (0, 0); Radius 7

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Find the center and radius of the circle. - $2 x ^ { 2 } + 2 y ^ { 2 } + 8 x + 12 y + 24 = 0$

Solve the problem. -If the slope of the road shown is $\frac { 2 } { 3 }$ , find the value for $h$ if $\mathrm { v } = 1 \mathrm { ft }$ . $Solve the problem. -If the slope of the road shown is \frac { 2 } { 3 } , find the value for h if \mathrm { v } = 1 \mathrm { ft } .$

Complete the ordered pairs. Then graph the equation. - $y=x-2$ $(0,),(, 0),(3,)$

Graph the following line. -Through $( 0,2 ) , \mathrm { m } = \frac { 1 } { 6 }$ $Graph the following line. -Through ( 0,2 ) , \mathrm { m } = \frac { 1 } { 6 }$

Find the center and radius of the circle. - $x ^ { 2 } + y ^ { 2 } - 16 x + 18 y = - 141$

$\text { Locate the point on the rectangular coordinate system. }$ $\text { Locate the point on the rectangular coordinate system. } -(-3, 0)$ -(-3, 0)

Graph the following line. -Through $( - 2 , - 2 ) , \mathrm { m } = 4$ $Graph the following line. -Through ( - 2 , - 2 ) , \mathrm { m } = 4$

Find the midpoint of the line segment joining the two points. - $( 6,2 )$ and $( 0,7 )$

$\text { Locate the point on the rectangular coordinate system. }$ $\text { Locate the point on the rectangular coordinate system. } -(-3, 4)$ -(-3, 4)

Find the center and radius of the circle. - $( x - 1 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 64$