Question 1

Find the general form of the equation of the the circle.
-Center at the point $( - 4 , - 3 )$; containing the point $( - 3,3 )$

Accepted Answer

A)  $x ^ { 2 } + y ^ { 2 } + 6 x - 6 y - 17 = 0$ 
B)  $x ^ { 2 } + y ^ { 2 } + 6 x + 8 y - 17 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } + 8 x + 6 y - 12 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } - 6 x + 6 y - 12 = 0$ 
A)  $x ^ { 2 } + y ^ { 2 } + 6 x - 6 y - 17 = 0$ 
B)  $x ^ { 2 } + y ^ { 2 } + 6 x + 8 y - 17 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } + 8 x + 6 y - 12 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } - 6 x + 6 y - 12 = 0$

Question 2

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$y ^ { 2 } - x - 1 = 0$$

Accepted Answer

A)  y-axis 
B)  x-axis 
C)  origin 
D)  x-axis, y-axis, origin 
E)  none 
A)  y-axis 
B)  x-axis 
C)  origin 
D)  x-axis, y-axis, origin 
E)  none

Question 3

Determine whether the given point is on the graph of the equation.
-Equation: $x ^ { 2 } - y ^ { 2 } = 16$
Point: $( 2 \sqrt { 2 } , 2 \sqrt { 2 } )$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 4

Find the general form of the equation of the the circle.
-Center at the point $( 2 , - 3 )$; containing the point $( 5 , - 3 )$

Accepted Answer

A)  $x ^ { 2 } + y ^ { 2 } + 4 x - 6 y + 22 = 0$ 
B)  $x ^ { 2 } + y ^ { 2 } - 4 x + 6 y + 22 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } - 4 x + 6 y + 4 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } + 4 x - 6 y + 4 = 0$ 
A)  $x ^ { 2 } + y ^ { 2 } + 4 x - 6 y + 22 = 0$ 
B)  $x ^ { 2 } + y ^ { 2 } - 4 x + 6 y + 22 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } - 4 x + 6 y + 4 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } + 4 x - 6 y + 4 = 0$

Question 5

Find the slope of the line.
-

Accepted Answer

A)  -1 
B)  2 
C)  -2 
D)  1 
A)  -1 
B)  2 
C)  -2 
D)  1

Question 6

List the intercepts of the graph.Tell whether the graph is symmetric with respect to the x-axis, y-axis, origin, or none of
these.
-  A) intercept: $( 0,9 )$
symmetric with respect to $x$-axis

Accepted Answer

B)  intercept: $( 9,0 )$
no symmetry 
C)  intercept: $( 0,9 )$
no symmetry 
D)  intercept: $( 9,0 )$
symmetric with respect to $\mathrm { y }$-axis 
B)  intercept: $( 9,0 )$
no symmetry 
C)  intercept: $( 0,9 )$
no symmetry 
D)  intercept: $( 9,0 )$
symmetric with respect to $\mathrm { y }$-axis

Question 7

Graph the circle with radius r and center (h, k).
-$r=6 ;(h, k)=(0,4)$

A)

Accepted Answer

B)

C) 
  
D) 
  
B)

C) 
  
D)

Question 8

Find the equation of the line in slope-intercept form.
-

Accepted Answer

A)  $y = \frac { 1 } { 8 } x - \frac { 1 } { 37 }$ 
B)  $y = 8 x + 37$ 
C)  $y = 8 x - 27$ 
D)  $y = 8 x - 36$ 
A)  $y = \frac { 1 } { 8 } x - \frac { 1 } { 37 }$ 
B)  $y = 8 x + 37$ 
C)  $y = 8 x - 27$ 
D)  $y = 8 x - 36$

Question 9

Graph the equation by plotting points.
-$y=\sqrt{x}$

A)

Accepted Answer

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

Question 10

Plot the point.
-$$( - 3 , - 1 )$$

A)

Accepted Answer

B)

C) 
  
D) 
  
B)

C) 
  
D)

Question 11

Find the slope of the line containing the two points.
-(-4, -3); (-4, -2)

Accepted Answer

A)  - 1 
B)  0 
C)  1 
D)  undefined 
A)  - 1 
B)  0 
C)  1 
D)  undefined

Question 12

Write the standard form of the equation of the circle with radius r and center (h, k).
-$$\mathrm { r } = \sqrt { 19 } ; ( \mathrm { h } , \mathrm { k } ) = ( 7 , - 10 )$$

Accepted Answer

A)  $( x + 7 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 19$ 
B)  $( x - 10 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 361$ 
C)  $( x + 10 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 361$ 
D)  $( x - 7 ) ^ { 2 } + ( y + 10 ) ^ { 2 } = 19$ 
A)  $( x + 7 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 19$ 
B)  $( x - 10 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 361$ 
C)  $( x + 10 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 361$ 
D)  $( x - 7 ) ^ { 2 } + ( y + 10 ) ^ { 2 } = 19$

Question 13

Solve the problem.
-Earth is represented on a map of the solar system so that its surface is a circle with the equation $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 3,824 = 0$. A weather satellite circles $0.4$ units above the Earth with the center of its circular orbit at the center of the Earth. Find the general form of the equation for the orbit of the satellite on this map.

Accepted Answer

A)  $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 41.84 = 0$ 
B)  $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 3,873.76 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } - 8 x - 4 y - 3,873.76 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y + 19.84 = 0$ 
A)  $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 41.84 = 0$ 
B)  $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 3,873.76 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } - 8 x - 4 y - 3,873.76 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y + 19.84 = 0$

Question 14

Find an equation for the line with the given properties.
-Perpendicular to the line -3x - 4y = 15; containing the point (3, 2)

Accepted Answer

A)  -4x - 3y = -6 
B)  -4x + 3y = -6 
C)  -3x + 4y = -6 
D)  -4x - 3y = 15 
A)  -4x - 3y = -6 
B)  -4x + 3y = -6 
C)  -3x + 4y = -6 
D)  -4x - 3y = 15

Question 15

Find an equation for the line with the given properties.
-Perpendicular to the line -2x - 5y = -3; y-intercept = 5

Accepted Answer

A)  -2x - 5y = -25 
B)  -5x + 2y = -25 
C)  -5x + 2y = 10 
D)  -2x - 5y = -10 
A)  -2x - 5y = -25 
B)  -5x + 2y = -25 
C)  -5x + 2y = 10 
D)  -2x - 5y = -10

Question 16

Find the center (h, k) and radius r of the circle with the given equation.
-$$x ^ { 2 } + y ^ { 2 } = 9$$

Accepted Answer

A)  $( h , k ) = ( 0,0 ) ; r = 3$ 
B)  $( h , k ) = ( 3,3 ) ; r = 3$ 
C)  $( h , k ) = ( 3,3 ) ; r = 9$ 
D)  $( h , k ) = ( 0,0 ) ; r = 9$ 
A)  $( h , k ) = ( 0,0 ) ; r = 3$ 
B)  $( h , k ) = ( 3,3 ) ; r = 3$ 
C)  $( h , k ) = ( 3,3 ) ; r = 9$ 
D)  $( h , k ) = ( 0,0 ) ; r = 9$

Question 17

List the intercepts of the graph.
-  A) $\left( 0 , - \frac { \pi } { 2 } \right) , ( 0 , - 2 ) , \left( 0 , \frac { \pi } { 2 } \right)$

Accepted Answer

B)  $\left( - \frac { \pi } { 2 } , 0 \right) , ( - 2,0 ) , \left( \frac { \pi } { 2 } , 0 \right)$ 
C)  $\left( 0 , - \frac { \pi } { 2 } \right) , ( - 2,0 ) , \left( 0 , \frac { \pi } { 2 } \right)$ 
D)  $\left( - \frac { \pi } { 2 } , 0 \right) , ( 0 , - 2 ) , \left( \frac { \pi } { 2 } , 0 \right)$ 
B)  $\left( - \frac { \pi } { 2 } , 0 \right) , ( - 2,0 ) , \left( \frac { \pi } { 2 } , 0 \right)$ 
C)  $\left( 0 , - \frac { \pi } { 2 } \right) , ( - 2,0 ) , \left( 0 , \frac { \pi } { 2 } \right)$ 
D)  $\left( - \frac { \pi } { 2 } , 0 \right) , ( 0 , - 2 ) , \left( \frac { \pi } { 2 } , 0 \right)$

Question 18

Solve the problem.
-Find all values of k so that the given points are $$\sqrt { 29 }$$ units apart. (-5, 5), (k, 0)

Accepted Answer

A)  7 
B)  3, 7 
C)  -3, -7 
D)  -7 
A)  7 
B)  3, 7 
C)  -3, -7 
D)  -7

Question 19

Find an equation for the line with the given properties.
-Perpendicular to the line x - 2y = 2; containing the point (5, 3) A) $y = 2 x - 13$

Accepted Answer

B)  $y = - 2 x + 13$ 
C)  $y = - \frac { 1 } { 2 } x - \frac { 13 } { 2 }$ 
D)  $y = - 2 x - 13$ 
B)  $y = - 2 x + 13$ 
C)  $y = - \frac { 1 } { 2 } x - \frac { 13 } { 2 }$ 
D)  $y = - 2 x - 13$

Question 20

Solve the problem.
-A middle school's baseball playing field is a square, 55 feet on a side. How far is it directly from home plate to second base (the diagonal of the square)? If necessary, round to the nearest foot.

Accepted Answer

A)  85 feet 
B)  79 feet 
C)  78 feet 
D)  77 feet 
A)  85 feet 
B)  79 feet 
C)  78 feet 
D)  77 feet

Find the general form of the equation of the the circle. -Center at the point $( - 4 , - 3 )$ ; containing the point $( - 3,3 )$

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $y ^ { 2 } - x - 1 = 0$

Determine whether the given point is on the graph of the equation. -Equation: $x ^ { 2 } - y ^ { 2 } = 16$ Point: $( 2 \sqrt { 2 } , 2 \sqrt { 2 } )$

Find the general form of the equation of the the circle. -Center at the point $( 2 , - 3 )$ ; containing the point $( 5 , - 3 )$

Find the slope of the line. -

Graph the circle with radius r and center (h, k). - $r=6 ;(h, k)=(0,4)$ A) B) C) D)

Find the equation of the line in slope-intercept form. -

Plot the point. - $( - 3 , - 1 )$ A) B) C) D)

Find the slope of the line containing the two points. -(-4, -3); (-4, -2)

Write the standard form of the equation of the circle with radius r and center (h, k). - $\mathrm { r } = \sqrt { 19 } ; ( \mathrm { h } , \mathrm { k } ) = ( 7 , - 10 )$

Find an equation for the line with the given properties. -Perpendicular to the line -3x - 4y = 15; containing the point (3, 2)

Find an equation for the line with the given properties. -Perpendicular to the line -2x - 5y = -3; y-intercept = 5

Find the center (h, k) and radius r of the circle with the given equation. - $x ^ { 2 } + y ^ { 2 } = 9$

Solve the problem. -Find all values of k so that the given points are $\sqrt { 29 }$ units apart. (-5, 5), (k, 0)

Find an equation for the line with the given properties. -Perpendicular to the line x - 2y = 2; containing the point (5, 3) A) $y = 2 x - 13$ B) $y = - 2 x + 13$ C) $y = - \frac { 1 } { 2 } x - \frac { 13 } { 2 }$ D) $y = - 2 x - 13$

Solve the problem. -A middle school's baseball playing field is a square, 55 feet on a side. How far is it directly from home plate to second base (the diagonal of the square)? If necessary, round to the nearest foot.

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Exam 14: Review

Find the general form of the equation of the the circle. -Center at the point (−4,−3)( - 4 , - 3 )(−4,−3) ; containing the point (−3,3)( - 3,3 )(−3,3)

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - y2−x−1=0y ^ { 2 } - x - 1 = 0y2−x−1=0

Determine whether the given point is on the graph of the equation. -Equation: x2−y2=16x ^ { 2 } - y ^ { 2 } = 16x2−y2=16 Point: (22,22)( 2 \sqrt { 2 } , 2 \sqrt { 2 } )(22​,22​)

Find the general form of the equation of the the circle. -Center at the point (2,−3)( 2 , - 3 )(2,−3) ; containing the point (5,−3)( 5 , - 3 )(5,−3)