Question 1

Find an equation for the line with the given properties.
-Parallel to the line 9x + 8y = 23; containing the point (7, 1)

Accepted Answer

A)  9x + 8y = 71 
B)  7x + 8y = 23 
C)  8x + 9y = 1 
D)  9x - 8y = 71 
A)  9x + 8y = 71 
B)  7x + 8y = 23 
C)  8x + 9y = 1 
D)  9x - 8y = 71 A

Question 2

Find the distance d( $$\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) \text { between the points } \mathrm { P } _ { 1 } \text { and } \mathrm { P } _ { 2 }$$ .
-$$P _ { 1 } = ( - 3 , - 3 ) ; P _ { 2 } = ( - 3,2 )$$

Accepted Answer

A)  6 
B)  $\sqrt { 5 }$ 
C)  5 
D)  4 
A)  6 
B)  $\sqrt { 5 }$ 
C)  5 
D)  4 C

Question 3

Plot the point.
-$$( 3,6 )$$
 
 A)

Accepted Answer

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

Question 4

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$4 x ^ { 2 } + y ^ { 2 } = 4$$

Accepted Answer

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

Question 5

Find the distance d( $$\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) \text { between the points } \mathrm { P } _ { 1 } \text { and } \mathrm { P } _ { 2 }$$ .
-$$\mathrm { P } _ { 1 } = ( - 3 , - 1 ) ; \mathrm { P } _ { 2 } = ( 5,3 )$$

Accepted Answer

A)  48 
B)  $4 \sqrt { 5 }$ 
C)  4 
D)  $48 \sqrt { 3 }$ 
A)  48 
B)  $4 \sqrt { 5 }$ 
C)  4 
D)  $48 \sqrt { 3 }$

Question 6

Solve the problem.
-The medians of a triangle intersect at a point. The distance from the vertex to the point is exactly two-thirds of the distance from the vertex to the midpoint of the opposite side. Find the exact distance of that point from the
Vertex A(3, 4) of a triangle, given that the other two vertices are at (0, 0) and (8, 0). A) $\frac { 8 } { 3 }$

Accepted Answer

B)  $\frac { \sqrt { 17 } } { 3 }$ 
C)  $\frac { 2 \sqrt { 17 } } { 3 }$ 
D)  2 
B)  $\frac { \sqrt { 17 } } { 3 }$ 
C)  $\frac { 2 \sqrt { 17 } } { 3 }$ 
D)  2

Question 7

Decide whether the pair of lines is parallel, perpendicular, or neither.
-9x + 3y = 12 15x + 5y = 22

Accepted Answer

A)  parallel 
B)  perpendicular 
C)  neither 
A)  parallel 
B)  perpendicular 
C)  neither

Question 8

Find the slope of the line through the points and interpret the slope.
-  A) 7 ; for every 1-unit increase in $x$, y will increase by 7 units

Accepted Answer

B)  $\frac { 1 } { 7 }$; for every 7 -unit increase in $x , y$ will increase by 1 unit 
C)  $- \frac { 1 } { 7 }$; for every 7 -unit increase in $\mathrm { x } , \mathrm { y }$ will decrease by 1 unit 
D)  $- 7$; for every 1 -unit increase in $\mathrm { x } , \mathrm { y }$ will decrease by 7 units 
B)  $\frac { 1 } { 7 }$; for every 7 -unit increase in $x , y$ will increase by 1 unit 
C)  $- \frac { 1 } { 7 }$; for every 7 -unit increase in $\mathrm { x } , \mathrm { y }$ will decrease by 1 unit 
D)  $- 7$; for every 1 -unit increase in $\mathrm { x } , \mathrm { y }$ will decrease by 7 units

Question 9

Find the slope and y-intercept of the line.
-$$6 x + y = - 3$$

Accepted Answer

A)  slope $= - 2 ; \mathrm { y }$-intercept $= - \frac { 1 } { 3 }$ 
B)  slope $= 6 ; y$-intercept $= - 3$ 
C)  slope $= - \frac { 1 } { 6 } ; y$-intercept $= - \frac { 1 } { 2 }$ 
D)  slope $= - 6 ; y$-intercept $= - 3$ 
A)  slope $= - 2 ; \mathrm { y }$-intercept $= - \frac { 1 } { 3 }$ 
B)  slope $= 6 ; y$-intercept $= - 3$ 
C)  slope $= - \frac { 1 } { 6 } ; y$-intercept $= - \frac { 1 } { 2 }$ 
D)  slope $= - 6 ; y$-intercept $= - 3$

Question 10

Decide whether or not the points are the vertices of a right triangle.
-(6, 12), (8, 16), (10, 15)

Accepted Answer

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

Question 11

Graph the line containing the point P and having slope m.
-$$\mathrm { P } = ( - 8,10 ) ; \mathrm { m } = 0$$

A)

Accepted Answer

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

Question 12

Graph the circle with radius r and center (h, k).
-$\mathrm{r}=2 ;(\mathrm{h}, \mathrm{k})=(0,0)$

A)

Accepted Answer

B)

C) 
  
D) 
  
B)

C) 
  
D)

Question 13

Graph the circle with radius r and center (h, k).
-$\mathrm{r}=3 ;(\mathrm{h}, \mathrm{k})=(5,0)$

A)

Accepted Answer

B)

C) 
  
D) 
  
B)

C) 
  
D)

Question 14

Find the center (h, k) and radius r of the circle with the given equation.
-$$x ^ { 2 } - 16 x + 64 + ( y + 3 ) ^ { 2 } = 9$$

Accepted Answer

A)  $( \mathrm { h } , \mathrm { k } ) = ( 8 , - 3 ) ; \mathrm { r } = 3$ 
B)  $( \mathrm { h } , \mathrm { k } ) = ( - 8,3 ) ; \mathrm { r } = 9$ 
C)  $( \mathrm { h } , \mathrm { k } ) = ( - 3,8 ) ; \mathrm { r } = 3$ 
D)  $( h , k ) = ( 3 , - 8 ) ; r = 9$ 
A)  $( \mathrm { h } , \mathrm { k } ) = ( 8 , - 3 ) ; \mathrm { r } = 3$ 
B)  $( \mathrm { h } , \mathrm { k } ) = ( - 8,3 ) ; \mathrm { r } = 9$ 
C)  $( \mathrm { h } , \mathrm { k } ) = ( - 3,8 ) ; \mathrm { r } = 3$ 
D)  $( h , k ) = ( 3 , - 8 ) ; r = 9$

Question 15

Find the distance d( $$\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) \text { between the points } \mathrm { P } _ { 1 } \text { and } \mathrm { P } _ { 2 }$$ .
-$\mathrm { P } _ { 1 } = ( 0.3 , - 0.2 ) ; \mathrm { P } _ { 2 } = ( 2.1 , - 1.3 )$ Round to three decimal places, if necessary.

Accepted Answer

A)  $2.21$ 
B)  $2.11$ 
C)  $6.671$ 
D)  $14.5$ 
A)  $2.21$ 
B)  $2.11$ 
C)  $6.671$ 
D)  $14.5$

Question 16

Solve the problem.
-If (5, 3) is the endpoint of a line segment, and (1, 1) is its midpoint, find the other endpoint.

Accepted Answer

A)  (13, 7) 
B)  (-3, 5) 
C)  (1, -5) 
D)  (-3, -1) 
A)  (13, 7) 
B)  (-3, 5) 
C)  (1, -5) 
D)  (-3, -1)

Question 17

Plot the point.
-$$( 1 , - 4 )$$

A)

Accepted Answer

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

Question 18

Solve the problem.
-Find the length of each side of the triangle determined by the three points $$\mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \text {, and } \mathrm { P } _ { 3 }$$ . State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both. $$\mathrm { P } _ { 1 } = ( - 5 , - 4 ) , \mathrm { P } _ { 2 } = ( - 3,4 ) , \mathrm { P } _ { 3 } = ( 0 , - 1 )$$

Accepted Answer

A)  $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = 5 \sqrt { 2 }$ neither 
B)  $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = 5 \sqrt { 2 }$ right triangle 
C)  $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 }$ both 
D)  $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 }$ isosceles triangle 
A)  $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = 5 \sqrt { 2 }$ neither 
B)  $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = 5 \sqrt { 2 }$ right triangle 
C)  $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 }$ both 
D)  $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 }$ isosceles triangle

Question 19

List the intercepts for the graph of the equation.
-$$4 x ^ { 2 } + 16 y ^ { 2 } = 64$$

Accepted Answer

A)  (-16, 0), (0, -4), (0, 4), (16, 0) 
B)  (-4, 0), (-16, 0), (16, 0), (4, 0) 
C)  (-4, 0), (0, -2), (0, 2), (4, 0) 
D)  (-2, 0), (-4, 0), (4, 0), (2, 0) 
A)  (-16, 0), (0, -4), (0, 4), (16, 0) 
B)  (-4, 0), (-16, 0), (16, 0), (4, 0) 
C)  (-4, 0), (0, -2), (0, 2), (4, 0) 
D)  (-2, 0), (-4, 0), (4, 0), (2, 0)

Question 20

List the intercepts of the graph.
-

Accepted Answer

A)  (-8, 0), (0, 8) 
B)  (-8, 0), (0, -8), (0, 0), (0, 8), (8, 0) 
C)  (0, 8), (8, 0) 
D)  (-8, 0), (0, -8), (0, 8), (8, 0) 
A)  (-8, 0), (0, 8) 
B)  (-8, 0), (0, -8), (0, 0), (0, 8), (8, 0) 
C)  (0, 8), (8, 0) 
D)  (-8, 0), (0, -8), (0, 8), (8, 0)

Find an equation for the line with the given properties. -Parallel to the line 9x + 8y = 23; containing the point (7, 1)

Find the distance d( $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) \text { between the points } \mathrm { P } _ { 1 } \text { and } \mathrm { P } _ { 2 }$ . - $P _ { 1 } = ( - 3 , - 3 ) ; P _ { 2 } = ( - 3,2 )$

Plot the point. - $( 3,6 )$ A) B) C) D)

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $4 x ^ { 2 } + y ^ { 2 } = 4$

Find the distance d( $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) \text { between the points } \mathrm { P } _ { 1 } \text { and } \mathrm { P } _ { 2 }$ . - $\mathrm { P } _ { 1 } = ( - 3 , - 1 ) ; \mathrm { P } _ { 2 } = ( 5,3 )$

Decide whether the pair of lines is parallel, perpendicular, or neither. -9x + 3y = 12 15x + 5y = 22

Find the slope and y-intercept of the line. - $6 x + y = - 3$

Decide whether or not the points are the vertices of a right triangle. -(6, 12), (8, 16), (10, 15)

Find the center (h, k) and radius r of the circle with the given equation. - $x ^ { 2 } - 16 x + 64 + ( y + 3 ) ^ { 2 } = 9$

Solve the problem. -If (5, 3) is the endpoint of a line segment, and (1, 1) is its midpoint, find the other endpoint.

Plot the point. - $( 1 , - 4 )$ A) B) C) D)

List the intercepts for the graph of the equation. - $4 x ^ { 2 } + 16 y ^ { 2 } = 64$

List the intercepts of the graph. -

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