Question 1

Graph the circle.
-$x^{2}+y^{2}=25$

Accepted Answer

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

Question 2

Decide whether the pair of lines is parallel, perpendicular, or neither.
-The line through (4, 0)and (12, 10)and the line through (6, 2)and (10, 7)

Accepted Answer

A) Parallel 
B) Perpendicular 
C) Neither 
A) Parallel 
B) Perpendicular 
C) Neither

Question 3

Graph the following line.
-Through $( 0,5 ) , \mathrm { m } = - \frac { 1 } { 6 }$

Accepted Answer

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

Question 4

Solve the problem.
-For the incline shown below, how many feet in the vertical direction correspond to 7 ft in the horizontal direction?

Accepted Answer

A)  $28 \mathrm { ft }$ 
B)  $4 \mathrm { ft }$ 
C)  $\frac { 7 } { 4 } \mathrm { ft }$ 
D)  $3 \mathrm { ft }$ 
A)  $28 \mathrm { ft }$ 
B)  $4 \mathrm { ft }$ 
C)  $\frac { 7 } { 4 } \mathrm { ft }$ 
D)  $3 \mathrm { ft }$

Question 5

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

Accepted Answer

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

Question 6

Determine the quadrants in which the given point (x,y)may lie.
-$x > 0$

Accepted Answer

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

Question 7

Write the equation of a circle with the given center and radius.
-Center at $( 1,6 )$; Radius $\sqrt { 15 }$

Accepted Answer

A)  $( x + 1 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 15$ 
B)  $( x - 6 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 225$ 
C)  $( x - 1 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 15$ 
D)  $( x + 6 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 225$ 
A)  $( x + 1 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 15$ 
B)  $( x - 6 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 225$ 
C)  $( x - 1 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 15$ 
D)  $( x + 6 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 225$

Question 8

Decide whether the pair of lines is parallel, perpendicular, or neither.
-The line through (-12, 5)and (-4, 7)and the line through (5, 6)and (7, -2)

Accepted Answer

A) Neither 
B) Perpendicular 
C) Parallel 
A) Neither 
B) Perpendicular 
C) Parallel

Question 9

Find the center and radius of the circle.
-$( x + 9 ) ^ { 2 } + y ^ { 2 } = 49$

Accepted Answer

A)  $( 0,9 ) , r = 7$ 
B)  $( 9,0 ) , r = 49$ 
C)  $( 0 , - 9 ) , \mathrm { r } = 49$ 
D)  $( - 9,0 ) , r = 7$ 
A)  $( 0,9 ) , r = 7$ 
B)  $( 9,0 ) , r = 49$ 
C)  $( 0 , - 9 ) , \mathrm { r } = 49$ 
D)  $( - 9,0 ) , r = 7$

Question 10

Find the y- and x-intercepts for the equation. Then graph the equation.
-$x = - 6 - y$

Accepted Answer

A)  $( 0,6 ) , ( 6,0 )$
  
B)  $( 0 , - 6 ) , ( 6,0 )$
  
C) $(0,-6),(-6,0)$
  
D)  $( 0,6 ) , ( - 6,0 )$
  
A)  $( 0,6 ) , ( 6,0 )$
  
B)  $( 0 , - 6 ) , ( 6,0 )$
  
C) $(0,-6),(-6,0)$
  
D)  $( 0,6 ) , ( - 6,0 )$

Question 11

Use this graph to answer the question.
 
-What was the total increase in sales from 2009 to 2010?

Accepted Answer

A) $182,000 
B) $22,000 
C) $12,000 
D) $1,342,000 
A) $182,000 
B) $22,000 
C) $12,000 
D) $1,342,000

Question 12

Find the y- and x-intercepts for the equation. Then graph the equation.
-$y - \frac { 1 } { 2 } x = 5$

Accepted Answer

A)  $( 0 , - 10 ) , ( 10,0 )$
  
B)  $( 0,5 ) , ( - 5,0 )$
  
C)  $( 0,5 ) , ( - 10,0 )$
  
D)  $( 0,5 ) , ( 10,0 )$
  
A)  $( 0 , - 10 ) , ( 10,0 )$
  
B)  $( 0,5 ) , ( - 5,0 )$
  
C)  $( 0,5 ) , ( - 10,0 )$
  
D)  $( 0,5 ) , ( 10,0 )$

Question 13

Use the distance formula to find the distance between the pair of points.
-$( 6,7 )$ and $( - 3 , - 7 )$

Accepted Answer

A)  $\sqrt { 115 }$ 
B)  126 
C)  $\sqrt { 277 }$ 
D)  $- 5$ 
A)  $\sqrt { 115 }$ 
B)  126 
C)  $\sqrt { 277 }$ 
D)  $- 5$

Question 14

$\text { Locate the point on the rectangular coordinate system. }$
 
-(-5,-4)

Accepted Answer

A) A 
B) I 
C) L 
D) G 
A) A 
B) I 
C) L 
D) G

Question 15

Write the equation of a circle with the given center and radius.
-Center at (6, -10); Radius 2

Accepted Answer

A) (x - 10)2 + (y + 6)2 = 2 
B) (x + 6)2 + (y - 10)2 = 4 
C) (x + 10)2 + (y - 6)2 = 2 
D) (x - 6)2 + (y + 10)2 = 4 
A) (x - 10)2 + (y + 6)2 = 2 
B) (x + 6)2 + (y - 10)2 = 4 
C) (x + 10)2 + (y - 6)2 = 2 
D) (x - 6)2 + (y + 10)2 = 4

Question 16

Graph the following line.
-Through $( 0,6 ) , \mathrm { m } = - 5$

Accepted Answer

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

Question 17

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

Accepted Answer

A) C 
B) D 
C) E 
D) K 
A) C 
B) D 
C) E 
D) K

Question 18

Use the distance formula to find the distance between the pair of points.
-$( 7,7 )$ and $( 5 , - 4 )$

Accepted Answer

A)  $5 \sqrt { 5 }$ 
B)  9 
C)  117 
D)  $117 \sqrt { 13 }$ 
A)  $5 \sqrt { 5 }$ 
B)  9 
C)  117 
D)  $117 \sqrt { 13 }$

Question 19

Decide whether the pair of lines is parallel, perpendicular, or neither.
-The line through (-1, 6)and (-7, -10)and the line through (-7, -10)and (-4, -18)

Accepted Answer

A) Parallel 
B) Neither 
C) Perpendicular 
A) Parallel 
B) Neither 
C) Perpendicular

Question 20

If the coordinates of one endpoint of a line segment are $( a , b )$ and the coordinates of the midpoint of the segment are $( p , q )$, then the coordinates of the other endpoint are $( 2 p - a , 2 q - b )$.

Accepted Answer

A) True 
 B)False

Graph the circle. - $x^{2}+y^{2}=25$ $Graph the circle. - x^{2}+y^{2}=25$

Decide whether the pair of lines is parallel, perpendicular, or neither. -The line through (4, 0)and (12, 10)and the line through (6, 2)and (10, 7)

Graph the following line. -Through $( 0,5 ) , \mathrm { m } = - \frac { 1 } { 6 }$ $Graph the following line. -Through ( 0,5 ) , \mathrm { m } = - \frac { 1 } { 6 }$

Solve the problem. -For the incline shown below, how many feet in the vertical direction correspond to 7 ft in the horizontal direction?

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

Determine the quadrants in which the given point (x,y)may lie. - $x > 0$

Write the equation of a circle with the given center and radius. -Center at $( 1,6 )$ ; Radius $\sqrt { 15 }$

Decide whether the pair of lines is parallel, perpendicular, or neither. -The line through (-12, 5)and (-4, 7)and the line through (5, 6)and (7, -2)

Find the center and radius of the circle. - $( x + 9 ) ^ { 2 } + y ^ { 2 } = 49$

Find the y- and x-intercepts for the equation. Then graph the equation. - $x = - 6 - y$

Use this graph to answer the question. -What was the total increase in sales from 2009 to 2010?

Find the y- and x-intercepts for the equation. Then graph the equation. - $y - \frac { 1 } { 2 } x = 5$ $Find the y- and x-intercepts for the equation. Then graph the equation. - y - \frac { 1 } { 2 } x = 5$

Use the distance formula to find the distance between the pair of points. - $( 6,7 )$ and $( - 3 , - 7 )$

$\text { Locate the point on the rectangular coordinate system. }$ $\text { Locate the point on the rectangular coordinate system. } -(-5,-4)$ -(-5,-4)

Write the equation of a circle with the given center and radius. -Center at (6, -10); Radius 2

Graph the following line. -Through $( 0,6 ) , \mathrm { m } = - 5$ $Graph the following line. -Through ( 0,6 ) , \mathrm { m } = - 5$

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

Use the distance formula to find the distance between the pair of points. - $( 7,7 )$ and $( 5 , - 4 )$

Decide whether the pair of lines is parallel, perpendicular, or neither. -The line through (-1, 6)and (-7, -10)and the line through (-7, -10)and (-4, -18)

If the coordinates of one endpoint of a line segment are $( a , b )$ and the coordinates of the midpoint of the segment are $( p , q )$ , then the coordinates of the other endpoint are $( 2 p - a , 2 q - b )$ .

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

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

Graph the circle. - x2+y2=25x^{2}+y^{2}=25x2+y2=25

Decide whether the pair of lines is parallel, perpendicular, or neither. -The line through (4, 0)and (12, 10)and the line through (6, 2)and (10, 7)

Graph the following line. -Through (0,5),m=−16( 0,5 ) , \mathrm { m } = - \frac { 1 } { 6 }(0,5),m=−61​

Solve the problem. -For the incline shown below, how many feet in the vertical direction correspond to 7 ft in the horizontal direction?

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

Determine the quadrants in which the given point (x,y)may lie. - x>0x > 0x>0

Write the equation of a circle with the given center and radius. -Center at (1,6)( 1,6 )(1,6) ; Radius 15\sqrt { 15 }15​

Decide whether the pair of lines is parallel, perpendicular, or neither. -The line through (-12, 5)and (-4, 7)and the line through (5, 6)and (7, -2)

Find the center and radius of the circle. - (x+9)2+y2=49( x + 9 ) ^ { 2 } + y ^ { 2 } = 49(x+9)2+y2=49

Find the y- and x-intercepts for the equation. Then graph the equation. - x=−6−yx = - 6 - yx=−6−y

Use this graph to answer the question. -What was the total increase in sales from 2009 to 2010?

Find the y- and x-intercepts for the equation. Then graph the equation. - y−12x=5y - \frac { 1 } { 2 } x = 5y−21​x=5

Use the distance formula to find the distance between the pair of points. - (6,7)( 6,7 )(6,7) and (−3,−7)( - 3 , - 7 )(−3,−7)

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. -(-5,-4)

Write the equation of a circle with the given center and radius. -Center at (6, -10); Radius 2

Graph the following line. -Through (0,6),m=−5( 0,6 ) , \mathrm { m } = - 5(0,6),m=−5

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. -(4, 3)

Use the distance formula to find the distance between the pair of points. - (7,7)( 7,7 )(7,7) and (5,−4)( 5 , - 4 )(5,−4)

Decide whether the pair of lines is parallel, perpendicular, or neither. -The line through (-1, 6)and (-7, -10)and the line through (-7, -10)and (-4, -18)

If the coordinates of one endpoint of a line segment are (a,b)( a , b )(a,b) and the coordinates of the midpoint of the segment are (p,q)( p , q )(p,q) , then the coordinates of the other endpoint are (2p−a,2q−b)( 2 p - a , 2 q - b )(2p−a,2q−b) .

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

Graph the circle. - $x^{2}+y^{2}=25$ $Graph the circle. - x^{2}+y^{2}=25$

Graph the following line. -Through $( 0,5 ) , \mathrm { m } = - \frac { 1 } { 6 }$ $Graph the following line. -Through ( 0,5 ) , \mathrm { m } = - \frac { 1 } { 6 }$

Determine the quadrants in which the given point (x,y)may lie. - $x > 0$

Write the equation of a circle with the given center and radius. -Center at $( 1,6 )$ ; Radius $\sqrt { 15 }$

Find the center and radius of the circle. - $( x + 9 ) ^ { 2 } + y ^ { 2 } = 49$

Find the y- and x-intercepts for the equation. Then graph the equation. - $x = - 6 - y$

Find the y- and x-intercepts for the equation. Then graph the equation. - $y - \frac { 1 } { 2 } x = 5$ $Find the y- and x-intercepts for the equation. Then graph the equation. - y - \frac { 1 } { 2 } x = 5$

Use the distance formula to find the distance between the pair of points. - $( 6,7 )$ and $( - 3 , - 7 )$

$\text { Locate the point on the rectangular coordinate system. }$ $\text { Locate the point on the rectangular coordinate system. } -(-5,-4)$ -(-5,-4)

Graph the following line. -Through $( 0,6 ) , \mathrm { m } = - 5$ $Graph the following line. -Through ( 0,6 ) , \mathrm { m } = - 5$

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

Use the distance formula to find the distance between the pair of points. - $( 7,7 )$ and $( 5 , - 4 )$

If the coordinates of one endpoint of a line segment are $( a , b )$ and the coordinates of the midpoint of the segment are $( p , q )$ , then the coordinates of the other endpoint are $( 2 p - a , 2 q - b )$ .