Question 1

Graph the equation by plotting points.
-$y=3 x+6$

Accepted Answer

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

Question 2

Find the midpoint of the line segment joining the points P1 and P2.
-$$\mathrm { P } _ { 1 } = ( 5 \mathrm { x } , 6 ) ; \mathrm { P } _ { 2 } = ( 6 \mathrm { x } , 7 )$$

Accepted Answer

A)  $\left( \frac { 11 x } { 2 } , \frac { 13 } { 2 } \right)$ 
B)  $( x , 1 )$ 
C)  $( 11 x , 13 )$ 
D)  $\left( \frac { 13 x } { 2 } , \frac { 11 } { 2 } \right)$ 
A)  $\left( \frac { 11 x } { 2 } , \frac { 13 } { 2 } \right)$ 
B)  $( x , 1 )$ 
C)  $( 11 x , 13 )$ 
D)  $\left( \frac { 13 x } { 2 } , \frac { 11 } { 2 } \right)$

Question 3

List the intercepts and type(s) of symmetry, if any.
-$$y ^ { 2 } = x + 1$$

Accepted Answer

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

Question 4

Find the center (h, k) and radius r of the circle with the given equation.
-$$( x + 5 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 144$$

Accepted Answer

A)  $( h , k ) = ( - 5 , - 6 ) ; r = 12$ 
B)  $( h , k ) = ( - 5 , - 6 ) ; r = 144$ 
C)  $( h , k ) = ( - 6 , - 5 ) ; r = 144$ 
D)  $( \mathrm { h } , \mathrm { k } ) = ( - 6 , - 5 ) ; \mathrm { r } = 12$ 
A)  $( h , k ) = ( - 5 , - 6 ) ; r = 12$ 
B)  $( h , k ) = ( - 5 , - 6 ) ; r = 144$ 
C)  $( h , k ) = ( - 6 , - 5 ) ; r = 144$ 
D)  $( \mathrm { h } , \mathrm { k } ) = ( - 6 , - 5 ) ; \mathrm { r } = 12$

Question 5

Write the standard form of the equation of the circle with radius r and center (h, k).
-$$\mathrm { r } = \sqrt { 7 } ; ( \mathrm { h } , \mathrm { k } ) = ( 0 , - 6 )$$

Accepted Answer

A)  $( x - 6 ) ^ { 2 } + y ^ { 2 } = 49$ 
B)  $x ^ { 2 } + ( y + 6 ) ^ { 2 } = 7$ 
C)  $( x + 6 ) ^ { 2 } + y ^ { 2 } = 49$ 
D)  $x ^ { 2 } + ( y - 6 ) ^ { 2 } = 7$ 
A)  $( x - 6 ) ^ { 2 } + y ^ { 2 } = 49$ 
B)  $x ^ { 2 } + ( y + 6 ) ^ { 2 } = 7$ 
C)  $( x + 6 ) ^ { 2 } + y ^ { 2 } = 49$ 
D)  $x ^ { 2 } + ( y - 6 ) ^ { 2 } = 7$

Question 6

Find an equation for the line, in the indicated form, with the given properties.
-Containing the points $( - 4 , - 6 )$ and $( 1,10 )$; general form

Accepted Answer

A)  $2 x - 9 y = - 92$ 
B)  $- 2 x + 9 y = - 92$ 
C)  $- 16 x - 5 y = - 34$ 
D)  $16 x - 5 y = - 34$ 
A)  $2 x - 9 y = - 92$ 
B)  $- 2 x + 9 y = - 92$ 
C)  $- 16 x - 5 y = - 34$ 
D)  $16 x - 5 y = - 34$

Question 7

Write the standard form of the equation of the circle with radius r and center (h, k).
-$$\mathrm { r } = 2 ; ( \mathrm { h } , \mathrm { k } ) = ( - 10 , - 7 )$$

Accepted Answer

A)  $( x + 10 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 2$ 
B)  $( x + 10 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 4$ 
C)  $( x - 10 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 2$ 
D)  $( x - 10 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 4$ 
A)  $( x + 10 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 2$ 
B)  $( x + 10 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 4$ 
C)  $( x - 10 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 2$ 
D)  $( x - 10 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 4$

Question 8

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

Accepted Answer

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

Question 9

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

Accepted Answer

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

Question 10

List the intercepts for the graph of the equation.
-y = 2x

Accepted Answer

A)  (2, 0) 
B)  (0, 0) 
C)  (0, 2) 
D)  (2, 2) 
A)  (2, 0) 
B)  (0, 0) 
C)  (0, 2) 
D)  (2, 2)

Question 11

Solve the problem.
-If (a, 3) is a point on the graph of y = 2x - 5, what is a?

Accepted Answer

A)  -1 
B)  -4 
C)  4 
D)  1 
A)  -1 
B)  -4 
C)  4 
D)  1

Question 12

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.
-

Accepted Answer

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

Question 13

Solve the problem.
-Find the equation of a circle in standard form where $C ( 6 , - 2 )$ and $D ( - 4,4 )$ are endpoints of a diameter.

Accepted Answer

A)  $( x + 1 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 136$ 
B)  $( x + 1 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 34$ 
C)  $( x - 1 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 34$ 
D)  $( x - 1 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 136$ 
A)  $( x + 1 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 136$ 
B)  $( x + 1 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 34$ 
C)  $( x - 1 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 34$ 
D)  $( x - 1 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 136$

Question 14

Find the distance d(P1, P2) between the points P1 and P2.
-

Accepted Answer

A)  0 
B)  2 
C)  1 
D)  5 
A)  0 
B)  2 
C)  1 
D)  5

Question 15

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 $y = 2 x$. Give the equation of line $L$ in slope-intercept form.

Accepted Answer

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

Question 16

Find an equation for the line with the given properties.
-Parallel to the line $y = - 3 x$; containing the point $( 7,2 )$

Accepted Answer

A)  $y = - 3 x - 23$ 
B)  $y = - 3 x$ 
C)  $y - 2 = - 3 x - 7$ 
D)  $y = - 3 x + 23$ 
A)  $y = - 3 x - 23$ 
B)  $y = - 3 x$ 
C)  $y - 2 = - 3 x - 7$ 
D)  $y = - 3 x + 23$

Question 17

Find the slope and y-intercept of the line.
-$$\mathrm { y } = - 7$$

Accepted Answer

A)  slope $= 0$; no $\mathrm { y }$-intercept 
B)  slope $= - 7 ; \mathrm { y }$-intercept $= 0$ 
C)  slope $= 0 ; y$-intercept $= - 7$ 
D)  slope $= 1 ; \mathrm { y }$-intercept $= - 7$ 
A)  slope $= 0$; no $\mathrm { y }$-intercept 
B)  slope $= - 7 ; \mathrm { y }$-intercept $= 0$ 
C)  slope $= 0 ; y$-intercept $= - 7$ 
D)  slope $= 1 ; \mathrm { y }$-intercept $= - 7$

Question 18

Tell in which quadrant or on what coordinate axis the point lies.
-$( 6,17 )$

Accepted Answer

A)  Quadrant II 
B)  Quadrant I 
C)  Quadrant III 
D)  Quadrant IV 
A)  Quadrant II 
B)  Quadrant I 
C)  Quadrant III 
D)  Quadrant IV

Question 19

Find the slope of the line and sketch its graph.
-$$3 x + 5 y = 19$$

Accepted Answer

A)  slope $= - \frac { 5 } { 3 }$
  
B)  slope $= - \frac { 3 } { 5 }$
  
C)  slope $= \frac { 3 } { 5 }$
  
D)  slope $= \frac { 5 } { 3 }$
  
A)  slope $= - \frac { 5 } { 3 }$
  
B)  slope $= - \frac { 3 } { 5 }$
  
C)  slope $= \frac { 3 } { 5 }$
  
D)  slope $= \frac { 5 } { 3 }$

Question 20

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$y = x ^ { 2 } + 11 x + 18$$

Accepted Answer

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

Graph the equation by plotting points. - $y=3 x+6$

Find the midpoint of the line segment joining the points P1 and P2. - $\mathrm { P } _ { 1 } = ( 5 \mathrm { x } , 6 ) ; \mathrm { P } _ { 2 } = ( 6 \mathrm { x } , 7 )$

List the intercepts and type(s) of symmetry, if any. - $y ^ { 2 } = x + 1$

Find the center (h, k) and radius r of the circle with the given equation. - $( x + 5 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 144$

Write the standard form of the equation of the circle with radius r and center (h, k). - $\mathrm { r } = \sqrt { 7 } ; ( \mathrm { h } , \mathrm { k } ) = ( 0 , - 6 )$

Find an equation for the line, in the indicated form, with the given properties. -Containing the points $( - 4 , - 6 )$ and $( 1,10 )$ ; general form

Write the standard form of the equation of the circle with radius r and center (h, k). - $\mathrm { r } = 2 ; ( \mathrm { h } , \mathrm { k } ) = ( - 10 , - 7 )$

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

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

List the intercepts for the graph of the equation. -y = 2x

Solve the problem. -If (a, 3) is a point on the graph of y = 2x - 5, what is a?

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. -

Solve the problem. -Find the equation of a circle in standard form where $C ( 6 , - 2 )$ and $D ( - 4,4 )$ are endpoints of a diameter.

Find the distance d(P1, P2) between the points P1 and P2. -

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 $y = 2 x$ . Give the equation of line $L$ in slope-intercept form.

Find an equation for the line with the given properties. -Parallel to the line $y = - 3 x$ ; containing the point $( 7,2 )$

Find the slope and y-intercept of the line. - $\mathrm { y } = - 7$

Tell in which quadrant or on what coordinate axis the point lies. - $( 6,17 )$

Find the slope of the line and sketch its graph. - $3 x + 5 y = 19$

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $y = x ^ { 2 } + 11 x + 18$

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

Graph the equation by plotting points. - y=3x+6y=3 x+6y=3x+6

Find the midpoint of the line segment joining the points P1 and P2. - P1=(5x,6);P2=(6x,7)\mathrm { P } _ { 1 } = ( 5 \mathrm { x } , 6 ) ; \mathrm { P } _ { 2 } = ( 6 \mathrm { x } , 7 )P1​=(5x,6);P2​=(6x,7)

List the intercepts and type(s) of symmetry, if any. - y2=x+1y ^ { 2 } = x + 1y2=x+1

Find the center (h, k) and radius r of the circle with the given equation. - (x+5)2+(y+6)2=144( x + 5 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 144(x+5)2+(y+6)2=144

Write the standard form of the equation of the circle with radius r and center (h, k). - r=7;(h,k)=(0,−6)\mathrm { r } = \sqrt { 7 } ; ( \mathrm { h } , \mathrm { k } ) = ( 0 , - 6 )r=7​;(h,k)=(0,−6)

Find an equation for the line, in the indicated form, with the given properties. -Containing the points (−4,−6)( - 4 , - 6 )(−4,−6) and (1,10)( 1,10 )(1,10) ; general form

Write the standard form of the equation of the circle with radius r and center (h, k). - r=2;(h,k)=(−10,−7)\mathrm { r } = 2 ; ( \mathrm { h } , \mathrm { k } ) = ( - 10 , - 7 )r=2;(h,k)=(−10,−7)

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

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