Question 1

Plot the point A. Plot the point B that has the given symmetry with point A.
-A = (0, 2); B is symmetric to A with respect to the origin   A)

Accepted Answer

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

Question 2

Solve the problem.
-If (7, -6) is the endpoint of a line segment, and (2, -5) is its midpoint, find the other endpoint.

Accepted Answer

A)  (-3, -4) 
B)  (9, -16) 
C)  (-3, -7) 
D)  (17, -8) 
A)  (-3, -4) 
B)  (9, -16) 
C)  (-3, -7) 
D)  (17, -8)

Question 3

Find an equation for the line with the given properties.
-The solid line L contains the point (-1, 4) and is perpendicular to the dotted line whose equation is y = 2x. Give the equation of line L in slope-intercept form.   A) $y = \frac { 1 } { 2 } x + \frac { 7 } { 2 }$

Accepted Answer

B)  $y = - \frac { 1 } { 2 } x + \frac { 7 } { 2 }$ 
C)  $y - 4 = 2 ( x + 1 )$ 
D)  $y - 4 = - \frac { 1 } { 2 } ( x + 1 )$ 
B)  $y = - \frac { 1 } { 2 } x + \frac { 7 } { 2 }$ 
C)  $y - 4 = 2 ( x + 1 )$ 
D)  $y - 4 = - \frac { 1 } { 2 } ( x + 1 )$

Question 4

Write the standard form of the equation of the circle.
-

Accepted Answer

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

Question 5

Find the general form of the equation of the the circle.
-Center at the point $( 3,5 )$; tangent to $\mathrm { y }$-axis

Accepted Answer

A)  $x ^ { 2 } + y ^ { 2 } - 6 x - 10 y + 43 = 0$ 
B)  $x ^ { 2 } + y ^ { 2 } - 6 x - 10 y + 9 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } + 6 x + 10 y + 25 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } - 6 x - 10 y + 25 = 0$ 
A)  $x ^ { 2 } + y ^ { 2 } - 6 x - 10 y + 43 = 0$ 
B)  $x ^ { 2 } + y ^ { 2 } - 6 x - 10 y + 9 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } + 6 x + 10 y + 25 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } - 6 x - 10 y + 25 = 0$

Question 6

Find the slope and y-intercept of the line.
-$$y = - \frac { 5 } { 6 } x - \frac { 1 } { 2 }$$

Accepted Answer

A)  slope $= - \frac { 6 } { 5 } ; y$-intercept $= \frac { 1 } { 2 }$ 
B)  slope $= \frac { 5 } { 6 } ; y$-intercept $= \frac { 1 } { 2 }$ 
C)  slope $= - \frac { 1 } { 2 } ; y$-intercept $= - \frac { 5 } { 6 }$ 
D)  slope $= - \frac { 5 } { 6 } ; y$-intercept $= - \frac { 1 } { 2 }$ 
A)  slope $= - \frac { 6 } { 5 } ; y$-intercept $= \frac { 1 } { 2 }$ 
B)  slope $= \frac { 5 } { 6 } ; y$-intercept $= \frac { 1 } { 2 }$ 
C)  slope $= - \frac { 1 } { 2 } ; y$-intercept $= - \frac { 5 } { 6 }$ 
D)  slope $= - \frac { 5 } { 6 } ; y$-intercept $= - \frac { 1 } { 2 }$

Question 7

Write the equation in slope-intercept form.
-$6 x + 7 y = 1$

Accepted Answer

A)  $y = \frac { 10 } { 7 } x + \frac { 1 } { 7 }$ 
B)  $y = \frac { 7 } { 6 } x - \frac { 1 } { 6 }$ 
C)  $y = \frac { 6 } { 7 } x + \frac { 1 } { 7 }$ 
D)  $y = 6 x + 10$ 
A)  $y = \frac { 10 } { 7 } x + \frac { 1 } { 7 }$ 
B)  $y = \frac { 7 } { 6 } x - \frac { 1 } { 6 }$ 
C)  $y = \frac { 6 } { 7 } x + \frac { 1 } { 7 }$ 
D)  $y = 6 x + 10$

Question 8

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

Accepted Answer

A)  0 
B)  2 
C)  1 
D)  $$\sqrt { 5 }$$ 
A)  0 
B)  2 
C)  1 
D)  $$\sqrt { 5 }$$

Question 9

Solve the problem.
-If $( 3 , b )$ is a point on the graph of $3 x - 2 y = 17$, what is $b$ ?

Accepted Answer

A)  $- 4$ 
B)  $\frac { 11 } { 3 }$ 
C)  $\frac { 23 } { 3 }$ 
D)  4 
A)  $- 4$ 
B)  $\frac { 11 } { 3 }$ 
C)  $\frac { 23 } { 3 }$ 
D)  4

Question 10

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) intercepts: $( 3,0 )$ and $( - 3,0$
symmetric with respect to $\mathrm { y }$-axis

Accepted Answer

B)  intercepts: $( 0,3 )$ and $( 0 , - 3 )$
symmetric with respect to origin 
C)  intercepts: $( 3,0 )$ and $( - 3,0 )$
symmetric with respect to $\mathrm { x }$-axis, $\mathrm { y }$-axis, and origin 
D)  intercepts: $( 0,3 )$ and $( 0 , - 3 )$
symmetric with respect to $x$-axis, $y$-axis, and origin 
B)  intercepts: $( 0,3 )$ and $( 0 , - 3 )$
symmetric with respect to origin 
C)  intercepts: $( 3,0 )$ and $( - 3,0 )$
symmetric with respect to $\mathrm { x }$-axis, $\mathrm { y }$-axis, and origin 
D)  intercepts: $( 0,3 )$ and $( 0 , - 3 )$
symmetric with respect to $x$-axis, $y$-axis, and origin

Question 11

Solve the problem.
-Find an equation of the line containing the centers of the two circles
$$\begin{array} { l } 
x ^ { 2 } + y ^ { 2 } + 2 x - 12 y + 36 = 0 \
x ^ { 2 } + y ^ { 2 } + 12 x + 2 y + 33 = 0
\end{array}$$
and

Accepted Answer

A)  $7 x + 5 y + 37 = 0$ 
B)  $- 7 x - 5 y + 37 = 0$ 
C)  $5 x + 7 y + 37 = 0$ 
D)  $7 x - 5 y + 37 = 0$ 
A)  $7 x + 5 y + 37 = 0$ 
B)  $- 7 x - 5 y + 37 = 0$ 
C)  $5 x + 7 y + 37 = 0$ 
D)  $7 x - 5 y + 37 = 0$

Question 12

Find the slope and y-intercept of the line.
-$$9 x - 5 y = 7$$

Accepted Answer

A)  slope $= 9 ; y$-intercept $= 7$ 
B)  slope $= \frac { 5 } { 9 } ; y$-intercept $= \frac { 7 } { 9 }$ 
C)  slope $= \frac { 9 } { 5 } ; \mathrm { y } - \mathrm { intercept } = - \frac { 7 } { 5 }$ 
D)  slope $= \frac { 9 } { 5 } ; y$-intercept $= \frac { 7 } { 5 }$ 
A)  slope $= 9 ; y$-intercept $= 7$ 
B)  slope $= \frac { 5 } { 9 } ; y$-intercept $= \frac { 7 } { 9 }$ 
C)  slope $= \frac { 9 } { 5 } ; \mathrm { y } - \mathrm { intercept } = - \frac { 7 } { 5 }$ 
D)  slope $= \frac { 9 } { 5 } ; y$-intercept $= \frac { 7 } { 5 }$

Question 13

Find the distance d( $$\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) \text { between the points } \mathrm { P } _ { 1 } \text { and } \mathrm { P } _ { 2 }$$ .
-  A) $\sqrt { 15 }$

Accepted Answer

B)  56 
C)  1 
D)  $\sqrt { 113 }$ 
B)  56 
C)  1 
D)  $\sqrt { 113 }$

Question 14

List the intercepts for the graph of the equation.
-$$y = \frac { 7 x } { x ^ { 2 } + 49 }$$

Accepted Answer

A)  (0, -7), (0, 0), (0, 7) 
B)  (-7, 0), (0, 0), (7, 0) 
C)  (-49, 0), (0, 0), (49, 0) 
D)  (0, 0) 
A)  (0, -7), (0, 0), (0, 7) 
B)  (-7, 0), (0, 0), (7, 0) 
C)  (-49, 0), (0, 0), (49, 0) 
D)  (0, 0)

Question 15

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$y = ( x + 3 ) ( x + 7 )$$

Accepted Answer

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

Question 16

Find the midpoint of the line segment joining the points $$P _ { 1 } \text { and } P _ { 2 }$$
-$$\mathrm { P } _ { 1 } = ( - 0.8,0.2 ) ; \mathrm { P } _ { 2 } = ( - 2.8 , - 1.7 )$$

Accepted Answer

A)  $( - 0.75 , - 1.8 )$
В) $( - 1.8 , - 0.75 )$ 
C)  $( - 1 , - 0.95 )$ 
D)  $( - 0.95 , - 1 )$ 
A)  $( - 0.75 , - 1.8 )$
В) $( - 1.8 , - 0.75 )$ 
C)  $( - 1 , - 0.95 )$ 
D)  $( - 0.95 , - 1 )$

Question 17

Decide whether the pair of lines is parallel, perpendicular, or neither.
-3x - 4y = -2 8x + 6y = 16

Accepted Answer

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

Question 18

Graph the equation by plotting points.
-$x=y^{2}$
 
 A)

Accepted Answer

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

Question 19

Solve the problem.
-Find the standard form of the equation of the circle. Assume that the center has integer coordinates and the radius is an integer.

Accepted Answer

A)  $x ^ { 2 } + y ^ { 2 } + 2 x - 4 y - 4 = 0$ 
B)  $( x + 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 9$ 
C)  $x ^ { 2 } + y ^ { 2 } - 2 x + 4 y - 4 = 0$ 
D)  $( x - 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 9$ 
A)  $x ^ { 2 } + y ^ { 2 } + 2 x - 4 y - 4 = 0$ 
B)  $( x + 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 9$ 
C)  $x ^ { 2 } + y ^ { 2 } - 2 x + 4 y - 4 = 0$ 
D)  $( x - 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 9$

Question 20

List the intercepts for the graph of the equation.
-$$x ^ { 2 } + y - 25 = 0$$

Accepted Answer

A)  (0, -5), (25, 0), (0, 5) 
B)  (-5, 0), (0, -25), (5, 0) 
C)  (5, 0), (0, 25), (0, -25) 
D)  (-5, 0), (0, 25), (5, 0) 
A)  (0, -5), (25, 0), (0, 5) 
B)  (-5, 0), (0, -25), (5, 0) 
C)  (5, 0), (0, 25), (0, -25) 
D)  (-5, 0), (0, 25), (5, 0)

Plot the point A. Plot the point B that has the given symmetry with point A. -A = (0, 2); B is symmetric to A with respect to the origin A) B) C) D)

Solve the problem. -If (7, -6) is the endpoint of a line segment, and (2, -5) is its midpoint, find the other endpoint.

Write the standard form of the equation of the circle. -

Find the general form of the equation of the the circle. -Center at the point $( 3,5 )$ ; tangent to $\mathrm { y }$ -axis

Find the slope and y-intercept of the line. - $y = - \frac { 5 } { 6 } x - \frac { 1 } { 2 }$

Write the equation in slope-intercept form. - $6 x + 7 y = 1$

Solve the problem. -If $( 3 , b )$ is a point on the graph of $3 x - 2 y = 17$ , what is $b$ ?

Solve the problem. -Find an equation of the line containing the centers of the two circles ++2x-12y+36=0 ++12x+2y+33=0 and

Find the slope and y-intercept of the line. - $9 x - 5 y = 7$

List the intercepts for the graph of the equation. - $y = \frac { 7 x } { x ^ { 2 } + 49 }$

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $y = ( x + 3 ) ( x + 7 )$

Find the midpoint of the line segment joining the points $P _ { 1 } \text { and } P _ { 2 }$ - $\mathrm { P } _ { 1 } = ( - 0.8,0.2 ) ; \mathrm { P } _ { 2 } = ( - 2.8 , - 1.7 )$

Decide whether the pair of lines is parallel, perpendicular, or neither. -3x - 4y = -2 8x + 6y = 16

Solve the problem. -Find the standard form of the equation of the circle. Assume that the center has integer coordinates and the radius is an integer.

List the intercepts for the graph of the equation. - $x ^ { 2 } + y - 25 = 0$

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Filters

Exam 14: Review