Question 1

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

Accepted Answer

A)  $y = \frac { 1 } { 3 } x + \frac { 13 } { 3 }$ 
B)  $y = 3 x + \frac { 13 } { 3 }$ 
C)  $y = - \frac { 1 } { 3 } x + \frac { 13 } { 3 }$ 
D)  $y = - 3 x + \frac { 13 } { 3 }$ 
A)  $y = \frac { 1 } { 3 } x + \frac { 13 } { 3 }$ 
B)  $y = 3 x + \frac { 13 } { 3 }$ 
C)  $y = - \frac { 1 } { 3 } x + \frac { 13 } { 3 }$ 
D)  $y = - 3 x + \frac { 13 } { 3 }$

Question 2

Choose the one alternative that best completes the statement or answers the question.
Find the general form of the equation for the line with the given properties.
-Slope $= \frac { 3 } { 4 } ;$ containing $( 0,4 )$

Accepted Answer

A)  $- 3 x - 4 y = 16$ 
B)  $- 3 x + 4 y = 16$ 
C)  $- 3 x + 4 y = - 16$ 
D)  $4 x - 3 y = - 16$ 
A)  $- 3 x - 4 y = 16$ 
B)  $- 3 x + 4 y = 16$ 
C)  $- 3 x + 4 y = - 16$ 
D)  $4 x - 3 y = - 16$

Question 3

Find an equation for the line, in the indicated form, with the given properties.
-Containing the points $( - 4 , - 1 )$ and $( 1,2 )$; slope-intercept form

Accepted Answer

A)  $y = m x + \frac { 7 } { 5 }$ 
B)  $y = - \frac { 3 } { 5 } x + \frac { 7 } { 5 }$ 
C)  $y = \frac { 3 } { 5 } x + \frac { 7 } { 5 }$ 
D)  $y + 1 = \frac { 3 } { 5 } ( x + 4 )$ 
A)  $y = m x + \frac { 7 } { 5 }$ 
B)  $y = - \frac { 3 } { 5 } x + \frac { 7 } { 5 }$ 
C)  $y = \frac { 3 } { 5 } x + \frac { 7 } { 5 }$ 
D)  $y + 1 = \frac { 3 } { 5 } ( x + 4 )$

Question 4

Find the center (h, k) and radius r of the circle. Graph the circle.
-$x^{2}+y^{2}-4 x-6 y+9=0$

Accepted Answer

A)  $( h , k ) = ( 2,3 ) ; r = 2$
  
B)  $( h , k ) = ( - 2,3 ) ; r = 2$
  
C)  $( h , k ) = ( 2 , - 3 ) ; r = 2$
  
D)  $( h , k ) = ( - 2 , - 3 ) ; r = 2$
  
A)  $( h , k ) = ( 2,3 ) ; r = 2$
  
B)  $( h , k ) = ( - 2,3 ) ; r = 2$
  
C)  $( h , k ) = ( 2 , - 3 ) ; r = 2$
  
D)  $( h , k ) = ( - 2 , - 3 ) ; r = 2$

Question 5

Write the standard form of the equation of the circle with radius r and center (h, k).
-$$\mathrm { r } = 6 ; ( \mathrm { h } , \mathrm { k } ) = ( 0 , - 5 )$$

Accepted Answer

A)  $( x - 5 ) ^ { 2 } + y ^ { 2 } = 36$ 
B)  $( x + 5 ) ^ { 2 } + y ^ { 2 } = 36$ 
C)  $x ^ { 2 } + ( y - 5 ) ^ { 2 } = 6$ 
D)  $x ^ { 2 } + ( y + 5 ) ^ { 2 } = 36$ 
A)  $( x - 5 ) ^ { 2 } + y ^ { 2 } = 36$ 
B)  $( x + 5 ) ^ { 2 } + y ^ { 2 } = 36$ 
C)  $x ^ { 2 } + ( y - 5 ) ^ { 2 } = 6$ 
D)  $x ^ { 2 } + ( y + 5 ) ^ { 2 } = 36$

Question 6

Find the general form of the equation of the the circle.
-Center at the point (3, 5); tangent to 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 7

List the intercepts for the graph of the equation.
-y = x - 6

Accepted Answer

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

Question 8

Find the distance d(P1, P2) between the points P1 and P2.
-$$\mathrm { P } _ { 1 } = ( 0,8 ) ; \mathrm { P } _ { 2 } = ( - 5,8 )$$

Accepted Answer

A)  $\sqrt { 89 }$ 
B)  25 
C)  5 
D)  8 
A)  $\sqrt { 89 }$ 
B)  25 
C)  5 
D)  8

Question 9

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

Accepted Answer

A)  slope $= 0 ; y$-intercept $= 5$ 
B)  slope $= \frac { 1 } { 5 } ; \mathrm { y }$-intercept $= 0$ 
C)  slope $= - 5 ; \mathrm { y }$-intercept $= 0$ 
D)  slope $= 5 ; y$-intercept $= 0$ 
A)  slope $= 0 ; y$-intercept $= 5$ 
B)  slope $= \frac { 1 } { 5 } ; \mathrm { y }$-intercept $= 0$ 
C)  slope $= - 5 ; \mathrm { y }$-intercept $= 0$ 
D)  slope $= 5 ; y$-intercept $= 0$

Question 10

Write the word or phrase that best completes each statement or answers the question.
-Each week a soft drink machine sells x cans of soda for $0.75/soda. The cost to the owner of the soda machine
for each soda is $0.10. The weekly fixed cost for maintaining the soda machine is $25/week. Write an equation
that relates the weekly profit, P, in dollars to the number of cans sold each week. Then use the equation to find
the weekly profit when 92 cans of soda are sold in a week.

Accepted Answer

P = 0.65x

Question 11

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$y = \frac { 4 x } { x ^ { 2 } + 16 }$$

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 12

Draw a complete graph so that it has the given type of symmetry.
-Symmetric with respect to the y-axis

Accepted Answer

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

Question 13

Find the slope of the line containing the two points.
-$( 3,0 ) ; ( 0,4 )$

Accepted Answer

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

Question 14

List the intercepts of the graph.
-

Accepted Answer

A)  (0, 1) 
B)  (1, 0) 
C)  (0, 0) 
D)  (1, 1) 
A)  (0, 1) 
B)  (1, 0) 
C)  (0, 0) 
D)  (1, 1)

Question 15

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 16

Graph the line containing the point P and having slope m.
-$P=(-3,-3) ; m=\frac{2}{3}$

Accepted Answer

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

Question 17

List the intercepts of the graph.
-

Accepted Answer

A)  (0, -2), (8, 0), (0, 4) 
B)  (0, -2), (0, 8), (4, 0) 
C)  (-2, 0), (0, 8), (4, 0) 
D)  (-2, 0), (0, 8), (0, 4) 
A)  (0, -2), (8, 0), (0, 4) 
B)  (0, -2), (0, 8), (4, 0) 
C)  (-2, 0), (0, 8), (4, 0) 
D)  (-2, 0), (0, 8), (0, 4)

Question 18

Find an equation for the line, in the indicated form, with the given properties.
-Containing the points $( 1 , - 5 )$ and $( - 4,6 )$; general form

Accepted Answer

A)  $6 x - 10 y = - 36$ 
B)  $- 11 x + 5 y = - 14$ 
C)  $11 x + 5 y = - 14$ 
D)  $- 6 x + 10 y = - 36$ 
A)  $6 x - 10 y = - 36$ 
B)  $- 11 x + 5 y = - 14$ 
C)  $11 x + 5 y = - 14$ 
D)  $- 6 x + 10 y = - 36$

Question 19

Solve the problem.
-If a graph is symmetric with respect to the $y$-axis and it contains the point $( 5 , - 6 )$, which of the following points is also on the graph?

Accepted Answer

A)  $( - 5 , - 6 )$ 
B)  $( - 6,5 )$ 
C)  $( 5 , - 6 )$ 
D)  $( - 5,6 )$ 
A)  $( - 5 , - 6 )$ 
B)  $( - 6,5 )$ 
C)  $( 5 , - 6 )$ 
D)  $( - 5,6 )$

Question 20

Find the distance d(P1, P2) between the points P1 and P2.
-$$\mathrm { P } _ { 1 } = ( 5 , - 7 ) ; \mathrm { P } _ { 2 } = ( 7 , - 1 )$$

Accepted Answer

A)  4 
B)  32 
C)  $2 \sqrt { 10 }$ 
D)  $32 \sqrt { 2 }$ 
A)  4 
B)  32 
C)  $2 \sqrt { 10 }$ 
D)  $32 \sqrt { 2 }$

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

Choose the one alternative that best completes the statement or answers the question. Find the general form of the equation for the line with the given properties. -Slope $= \frac { 3 } { 4 } ;$ containing $( 0,4 )$

Find an equation for the line, in the indicated form, with the given properties. -Containing the points $( - 4 , - 1 )$ and $( 1,2 )$ ; slope-intercept form

Find the center (h, k) and radius r of the circle. Graph the circle. - $x^{2}+y^{2}-4 x-6 y+9=0$ $Find the center (h, k) and radius r of the circle. Graph the circle. - x^{2}+y^{2}-4 x-6 y+9=0$

Write the standard form of the equation of the circle with radius r and center (h, k). - $\mathrm { r } = 6 ; ( \mathrm { h } , \mathrm { k } ) = ( 0 , - 5 )$

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

List the intercepts for the graph of the equation. -y = x - 6

Find the distance d(P1, P2) between the points P1 and P2. - $\mathrm { P } _ { 1 } = ( 0,8 ) ; \mathrm { P } _ { 2 } = ( - 5,8 )$

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

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $y = \frac { 4 x } { x ^ { 2 } + 16 }$

Draw a complete graph so that it has the given type of symmetry. -Symmetric with respect to the y-axis

Find the slope of the line containing the two points. - $( 3,0 ) ; ( 0,4 )$

List the intercepts of the graph. -

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

Graph the line containing the point P and having slope m. - $P=(-3,-3) ; m=\frac{2}{3}$ $Graph the line containing the point P and having slope m. - P=(-3,-3) ; m=\frac{2}{3}$

List the intercepts of the graph. -

Find an equation for the line, in the indicated form, with the given properties. -Containing the points $( 1 , - 5 )$ and $( - 4,6 )$ ; general form

Solve the problem. -If a graph is symmetric with respect to the $y$ -axis and it contains the point $( 5 , - 6 )$ , which of the following points is also on the graph?

Find the distance d(P1, P2) between the points P1 and P2. - $\mathrm { P } _ { 1 } = ( 5 , - 7 ) ; \mathrm { P } _ { 2 } = ( 7 , - 1 )$

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

Graphing Utilities

Filters

Exam 14: Foundations: a Prelude to Functions

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

Choose the one alternative that best completes the statement or answers the question. Find the general form of the equation for the line with the given properties. -Slope =34;= \frac { 3 } { 4 } ;=43​; containing (0,4)( 0,4 )(0,4)

Find an equation for the line, in the indicated form, with the given properties. -Containing the points (−4,−1)( - 4 , - 1 )(−4,−1) and (1,2)( 1,2 )(1,2) ; slope-intercept form

Find the center (h, k) and radius r of the circle. Graph the circle. - x2+y2−4x−6y+9=0x^{2}+y^{2}-4 x-6 y+9=0x2+y2−4x−6y+9=0

Write the standard form of the equation of the circle with radius r and center (h, k). - r=6;(h,k)=(0,−5)\mathrm { r } = 6 ; ( \mathrm { h } , \mathrm { k } ) = ( 0 , - 5 )r=6;(h,k)=(0,−5)

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

List the intercepts for the graph of the equation. -y = x - 6

Find the distance d(P1, P2) between the points P1 and P2. - P1=(0,8);P2=(−5,8)\mathrm { P } _ { 1 } = ( 0,8 ) ; \mathrm { P } _ { 2 } = ( - 5,8 )P1​=(0,8);P2​=(−5,8)

Find the slope and y-intercept of the line. - y=5xy = 5 xy=5x

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - y=4xx2+16y = \frac { 4 x } { x ^ { 2 } + 16 }y=x2+164x​

Draw a complete graph so that it has the given type of symmetry. -Symmetric with respect to the y-axis

Find the slope of the line containing the two points. - (3,0);(0,4)( 3,0 ) ; ( 0,4 )(3,0);(0,4)

List the intercepts of the graph. -

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

Graph the line containing the point P and having slope m. - P=(−3,−3);m=23P=(-3,-3) ; m=\frac{2}{3}P=(−3,−3);m=32​

List the intercepts of the graph. -

Find an equation for the line, in the indicated form, with the given properties. -Containing the points (1,−5)( 1 , - 5 )(1,−5) and (−4,6)( - 4,6 )(−4,6) ; general form

Solve the problem. -If a graph is symmetric with respect to the yyy -axis and it contains the point (5,−6)( 5 , - 6 )(5,−6) , which of the following points is also on the graph?

Find the distance d(P1, P2) between the points P1 and P2. - P1=(5,−7);P2=(7,−1)\mathrm { P } _ { 1 } = ( 5 , - 7 ) ; \mathrm { P } _ { 2 } = ( 7 , - 1 )P1​=(5,−7);P2​=(7,−1)

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

Graphing Utilities

Filters

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

Choose the one alternative that best completes the statement or answers the question. Find the general form of the equation for the line with the given properties. -Slope $= \frac { 3 } { 4 } ;$ containing $( 0,4 )$

Find an equation for the line, in the indicated form, with the given properties. -Containing the points $( - 4 , - 1 )$ and $( 1,2 )$ ; slope-intercept form

Find the center (h, k) and radius r of the circle. Graph the circle. - $x^{2}+y^{2}-4 x-6 y+9=0$ $Find the center (h, k) and radius r of the circle. Graph the circle. - x^{2}+y^{2}-4 x-6 y+9=0$

Write the standard form of the equation of the circle with radius r and center (h, k). - $\mathrm { r } = 6 ; ( \mathrm { h } , \mathrm { k } ) = ( 0 , - 5 )$

Find the distance d(P1, P2) between the points P1 and P2. - $\mathrm { P } _ { 1 } = ( 0,8 ) ; \mathrm { P } _ { 2 } = ( - 5,8 )$

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

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $y = \frac { 4 x } { x ^ { 2 } + 16 }$

Find the slope of the line containing the two points. - $( 3,0 ) ; ( 0,4 )$

Graph the line containing the point P and having slope m. - $P=(-3,-3) ; m=\frac{2}{3}$ $Graph the line containing the point P and having slope m. - P=(-3,-3) ; m=\frac{2}{3}$

Find an equation for the line, in the indicated form, with the given properties. -Containing the points $( 1 , - 5 )$ and $( - 4,6 )$ ; general form

Solve the problem. -If a graph is symmetric with respect to the $y$ -axis and it contains the point $( 5 , - 6 )$ , which of the following points is also on the graph?

Find the distance d(P1, P2) between the points P1 and P2. - $\mathrm { P } _ { 1 } = ( 5 , - 7 ) ; \mathrm { P } _ { 2 } = ( 7 , - 1 )$