Question 1

Solve the problem.
-Find the equation of a circle in standard form with center at the point $( - 3,2 )$ and tangent to the line $y = 4$.

Accepted Answer

A)  $( x + 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 16$ 
B)  $( x - 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 16$ 
C)  $( x - 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 4$ 
D)  $( x + 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 4$ 
A)  $( x + 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 16$ 
B)  $( x - 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 16$ 
C)  $( x - 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 4$ 
D)  $( x + 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 4$

Question 2

Find the slope-intercept form of the equation of the line with the given properties.
-$x$-intercept $= 5 ; y$-intercept $= 3$

Accepted Answer

A)  $y = \frac { 3 } { 5 } x + 3$ 
B)  $y = - \frac { 5 } { 3 } x + 5$ 
C)  $y = - \frac { 3 } { 5 } x + 3$ 
D)  $y = - \frac { 3 } { 5 } x + 5$ 
A)  $y = \frac { 3 } { 5 } x + 3$ 
B)  $y = - \frac { 5 } { 3 } x + 5$ 
C)  $y = - \frac { 3 } { 5 } x + 3$ 
D)  $y = - \frac { 3 } { 5 } x + 5$

Question 3

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

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 4

Graph the line containing the point P and having slope m.
-$P=(0,5) ; m=\frac{1}{2}$

Accepted Answer

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

Question 5

Find an equation for the line, in the indicated form, with the given properties.
-Containing the points $( 6 , - 8 )$ and $( 0,3 )$; general form

Accepted Answer

A)  $- 14 x + 3 y = - 9$ 
B)  $- 11 x + 6 y = 18$ 
C)  $11 x + 6 y = 18$ 
D)  $14 x - 3 y = - 9$ 
A)  $- 14 x + 3 y = - 9$ 
B)  $- 11 x + 6 y = 18$ 
C)  $11 x + 6 y = 18$ 
D)  $14 x - 3 y = - 9$

Question 6

Find the slope and y-intercept of the line.
-$$x + y = 4$$

Accepted Answer

A)  slope $= 0 ; y$-intercept $= 4$ 
B)  slope $= - 1 ; \mathrm { y }$-intercept $= - 4$ 
C)  slope $= - 1 ; y$-intercept $= 4$ 
D)  slope $= 1 ; y$-intercept $= 4$ 
A)  slope $= 0 ; y$-intercept $= 4$ 
B)  slope $= - 1 ; \mathrm { y }$-intercept $= - 4$ 
C)  slope $= - 1 ; y$-intercept $= 4$ 
D)  slope $= 1 ; y$-intercept $= 4$

Question 7

Graph the line containing the point P and having slope m.
-$P=(-4,0) ; m=\frac{3}{2}$

Accepted Answer

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

Question 8

Graph the line containing the point P and having slope m.
-$\mathrm{P}=(-7,6) ; \text { slope undefined }$

Accepted Answer

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

Question 9

Write the word or phrase that best completes each statement or answers the question.
-Each month a gas station sells x gallons of gas at $1.92/gallon. The cost to the owner of the gas station for each
gallon of gas is $1.32. The monthly fixed cost for running the gas station is $37,000. Write an equation that
relates the monthly profit, in dollars, to the number of gallons of gasoline sold. Then use the equation to find the
monthly profit when 75,000 gallons of gas are sold in a month.

Accepted Answer

P = 0.60x

Question 10

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

Question 11

Solve the problem.
-A motorcycle and a car leave an intersection at the same time. The motorcycle heads north at an average speed of 20 miles per hour, while the car heads east at an average speed of 48 miles per hour. Find an expression for their distance apart in miles at the end of thours.

Accepted Answer

A)  $t \sqrt { 68 }$ miles 
B)  $2 \mathrm { t } \sqrt { 13 }$ miles 
C)  $52 \mathrm { t }$ miles 
D)  $52 \sqrt { t }$ miles 
A)  $t \sqrt { 68 }$ miles 
B)  $2 \mathrm { t } \sqrt { 13 }$ miles 
C)  $52 \mathrm { t }$ miles 
D)  $52 \sqrt { t }$ miles

Question 12

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 13

List the intercepts and type(s) of symmetry, if any.
-$$16 x ^ { 2 } + y ^ { 2 } = 16$$

Accepted Answer

A)  intercepts: $( 4,0 ) , ( - 4,0 ) , ( 0,1 ) , ( 0 , - 1 )$
symmetric with respect to $x$-axis and $y$-axis 
B)  intercepts: $( 1,0 ) , ( - 1,0 ) , ( 0,4 ) , ( 0 , - 4 )$
symmetric with respect to $x$-axis and $y$-axis 
C)  intercepts: $( 1,0 ) , ( - 1,0 ) , ( 0,4 ) , ( 0 , - 4 )$
symmetric with respect to $\mathrm { x }$-axis, $\mathrm { y }$-axis, and origin 
D)  intercepts: $( 4,0 ) , ( - 4,0 ) , ( 0,1 ) , ( 0 , - 1 )$
symmetric with respect to the origin 
A)  intercepts: $( 4,0 ) , ( - 4,0 ) , ( 0,1 ) , ( 0 , - 1 )$
symmetric with respect to $x$-axis and $y$-axis 
B)  intercepts: $( 1,0 ) , ( - 1,0 ) , ( 0,4 ) , ( 0 , - 4 )$
symmetric with respect to $x$-axis and $y$-axis 
C)  intercepts: $( 1,0 ) , ( - 1,0 ) , ( 0,4 ) , ( 0 , - 4 )$
symmetric with respect to $\mathrm { x }$-axis, $\mathrm { y }$-axis, and origin 
D)  intercepts: $( 4,0 ) , ( - 4,0 ) , ( 0,1 ) , ( 0 , - 1 )$
symmetric with respect to the origin

Question 14

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 15

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

Accepted Answer

A)  $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 25$ 
B)  $( x - 1 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 25$ 
C)  $( x + 3 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 25$ 
D)  $( x + 1 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 25$ 
A)  $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 25$ 
B)  $( x - 1 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 25$ 
C)  $( x + 3 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 25$ 
D)  $( x + 1 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 25$

Question 16

Find the center (h, k) and radius r of the circle with the given equation.
-$$3 ( x + 2 ) ^ { 2 } + 3 ( y + 3 ) ^ { 2 } = 36$$

Accepted Answer

A)  $( \mathrm { h } , \mathrm { k } ) = ( - 2 , - 3 ) ; \mathrm { r } = 6 \sqrt { 3 }$ 
B)  $( h , k ) = ( 2,3 ) ; r = 6 \sqrt { 3 }$ 
C)  $( \mathrm { h } , \mathrm { k } ) = ( - 2 , - 3 ) ; \mathrm { r } = 2 \sqrt { 3 }$ 
D)  $( h , k ) = ( 2,3 ) ; r = 2 \sqrt { 3 }$ 
A)  $( \mathrm { h } , \mathrm { k } ) = ( - 2 , - 3 ) ; \mathrm { r } = 6 \sqrt { 3 }$ 
B)  $( h , k ) = ( 2,3 ) ; r = 6 \sqrt { 3 }$ 
C)  $( \mathrm { h } , \mathrm { k } ) = ( - 2 , - 3 ) ; \mathrm { r } = 2 \sqrt { 3 }$ 
D)  $( h , k ) = ( 2,3 ) ; r = 2 \sqrt { 3 }$

Question 17

Solve the problem.
-A truck rental company rents a moving truck one day by charging $35 plus $0.13 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost
Of renting the truck if the truck is driven 180 miles?

Accepted Answer

A)  C = 0.13x + 35; $37.34 
B)  C = 0.13x - 35; $11.60 
C)  C = 35x + 0.13; $6,300.13 
D)  C = 0.13x + 35; $58.40 
A)  C = 0.13x + 35; $37.34 
B)  C = 0.13x - 35; $11.60 
C)  C = 35x + 0.13; $6,300.13 
D)  C = 0.13x + 35; $58.40

Question 18

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

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 the midpoint of the line segment joining the points P1 and P2.
-$$\mathrm { P } _ { 1 } = ( - 6,4 ) ; \mathrm { P } _ { 2 } = ( 9,8 )$$

Accepted Answer

A)  $\left( \frac { 3 } { 2 } , 6 \right)$ 
B)  $\left( - \frac { 15 } { 2 } , - 2 \right)$ 
C)  $( 3,12 )$ 
D)  $( - 15 , - 4 )$ 
A)  $\left( \frac { 3 } { 2 } , 6 \right)$ 
B)  $\left( - \frac { 15 } { 2 } , - 2 \right)$ 
C)  $( 3,12 )$ 
D)  $( - 15 , - 4 )$

Question 20

Graph the equation by plotting points.
-$$y = \frac { 1 } { x }$$

Accepted Answer

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

Solve the problem. -Find the equation of a circle in standard form with center at the point $( - 3,2 )$ and tangent to the line $y = 4$ .

Find the slope-intercept form of the equation of the line with the given properties. - $x$ -intercept $= 5 ; y$ -intercept $= 3$

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

Graph the line containing the point P and having slope m. - $P=(0,5) ; m=\frac{1}{2}$ $Graph the line containing the point P and having slope m. - P=(0,5) ; m=\frac{1}{2}$

Find an equation for the line, in the indicated form, with the given properties. -Containing the points $( 6 , - 8 )$ and $( 0,3 )$ ; general form

Find the slope and y-intercept of the line. - $x + y = 4$

Graph the line containing the point P and having slope m. - $P=(-4,0) ; m=\frac{3}{2}$ $Graph the line containing the point P and having slope m. - P=(-4,0) ; m=\frac{3}{2}$

Graph the line containing the point P and having slope m. - $\mathrm{P}=(-7,6) ; \text { slope undefined }$ $Graph the line containing the point P and having slope m. - \mathrm{P}=(-7,6) ; \text { slope undefined }$

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

Solve the problem. -A motorcycle and a car leave an intersection at the same time. The motorcycle heads north at an average speed of 20 miles per hour, while the car heads east at an average speed of 48 miles per hour. Find an expression for their distance apart in miles at the end of thours.

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

List the intercepts and type(s) of symmetry, if any. - $16 x ^ { 2 } + y ^ { 2 } = 16$

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.

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

Find the center (h, k) and radius r of the circle with the given equation. - $3 ( x + 2 ) ^ { 2 } + 3 ( y + 3 ) ^ { 2 } = 36$

Solve the problem. -A truck rental company rents a moving truck one day by charging $35 plus $0.13 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost Of renting the truck if the truck is driven 180 miles?

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

Find the midpoint of the line segment joining the points P1 and P2. - $\mathrm { P } _ { 1 } = ( - 6,4 ) ; \mathrm { P } _ { 2 } = ( 9,8 )$

Graph the equation by plotting points. - $y = \frac { 1 } { x }$ $Graph the equation by plotting points. - y = \frac { 1 } { x }$

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

Solve the problem. -Find the equation of a circle in standard form with center at the point (−3,2)( - 3,2 )(−3,2) and tangent to the line y=4y = 4y=4 .

Find the slope-intercept form of the equation of the line with the given properties. - xxx -intercept =5;y= 5 ; y=5;y -intercept =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

Graph the line containing the point P and having slope m. - P=(0,5);m=12P=(0,5) ; m=\frac{1}{2}P=(0,5);m=21​

Find an equation for the line, in the indicated form, with the given properties. -Containing the points (6,−8)( 6 , - 8 )(6,−8) and (0,3)( 0,3 )(0,3) ; general form

Find the slope and y-intercept of the line. - x+y=4x + y = 4x+y=4

Graph the line containing the point P and having slope m. - P=(−4,0);m=32P=(-4,0) ; m=\frac{3}{2}P=(−4,0);m=23​

Graph the line containing the point P and having slope m. - P=(−7,6); slope undefined \mathrm{P}=(-7,6) ; \text { slope undefined }P=(−7,6); slope undefined

Find the center (h, k) and radius r of the circle with the given equation. - x2+y2=9x ^ { 2 } + y ^ { 2 } = 9x2+y2=9

Solve the problem. -A motorcycle and a car leave an intersection at the same time. The motorcycle heads north at an average speed of 20 miles per hour, while the car heads east at an average speed of 48 miles per hour. Find an expression for their distance apart in miles at the end of thours.

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)y = ( x + 3 ) ( x + 7 )y=(x+3)(x+7)

List the intercepts and type(s) of symmetry, if any. - 16x2+y2=1616 x ^ { 2 } + y ^ { 2 } = 1616x2+y2=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.

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

Find the center (h, k) and radius r of the circle with the given equation. - 3(x+2)2+3(y+3)2=363 ( x + 2 ) ^ { 2 } + 3 ( y + 3 ) ^ { 2 } = 363(x+2)2+3(y+3)2=36

Solve the problem. -A truck rental company rents a moving truck one day by charging $35 plus $0.13 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost Of renting the truck if the truck is driven 180 miles?

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

Find the midpoint of the line segment joining the points P1 and P2. - P1=(−6,4);P2=(9,8)\mathrm { P } _ { 1 } = ( - 6,4 ) ; \mathrm { P } _ { 2 } = ( 9,8 )P1​=(−6,4);P2​=(9,8)

Graph the equation by plotting points. - y=1xy = \frac { 1 } { x }y=x1​

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

Solve the problem. -Find the equation of a circle in standard form with center at the point $( - 3,2 )$ and tangent to the line $y = 4$ .

Find the slope-intercept form of the equation of the line with the given properties. - $x$ -intercept $= 5 ; y$ -intercept $= 3$

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

Graph the line containing the point P and having slope m. - $P=(0,5) ; m=\frac{1}{2}$ $Graph the line containing the point P and having slope m. - P=(0,5) ; m=\frac{1}{2}$

Find an equation for the line, in the indicated form, with the given properties. -Containing the points $( 6 , - 8 )$ and $( 0,3 )$ ; general form

Find the slope and y-intercept of the line. - $x + y = 4$

Graph the line containing the point P and having slope m. - $P=(-4,0) ; m=\frac{3}{2}$ $Graph the line containing the point P and having slope m. - P=(-4,0) ; m=\frac{3}{2}$

Graph the line containing the point P and having slope m. - $\mathrm{P}=(-7,6) ; \text { slope undefined }$ $Graph the line containing the point P and having slope m. - \mathrm{P}=(-7,6) ; \text { slope undefined }$

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

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

List the intercepts and type(s) of symmetry, if any. - $16 x ^ { 2 } + y ^ { 2 } = 16$

Find the center (h, k) and radius r of the circle with the given equation. - $3 ( x + 2 ) ^ { 2 } + 3 ( y + 3 ) ^ { 2 } = 36$

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

Find the midpoint of the line segment joining the points P1 and P2. - $\mathrm { P } _ { 1 } = ( - 6,4 ) ; \mathrm { P } _ { 2 } = ( 9,8 )$

Graph the equation by plotting points. - $y = \frac { 1 } { x }$ $Graph the equation by plotting points. - y = \frac { 1 } { x }$