Question 1

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$y = x - 6$$

Accepted Answer

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

Question 2

Find the center (h, k) and radius r of the circle. Graph the circle.
-$x^{2}+y^{2}+8 x+6 y+16=0$

Accepted Answer

A)  $( \mathrm { h } , \mathrm { k } ) = ( 4 , - 3 ) ; \mathrm { r } = 3$
  
B)  $( \mathrm { h } , \mathrm { k } ) = ( 4,3 ) ; \mathrm { r } = 3$
  
C)  $( h , k ) = ( - 4,3 ) ; r = 3$
  
D)  $( \mathrm { h } , \mathrm { k } ) = ( - 4 , - 3 ) ; \mathrm { r } = 3$
  
A)  $( \mathrm { h } , \mathrm { k } ) = ( 4 , - 3 ) ; \mathrm { r } = 3$
  
B)  $( \mathrm { h } , \mathrm { k } ) = ( 4,3 ) ; \mathrm { r } = 3$
  
C)  $( h , k ) = ( - 4,3 ) ; r = 3$
  
D)  $( \mathrm { h } , \mathrm { k } ) = ( - 4 , - 3 ) ; \mathrm { r } = 3$
  D

Question 3

Find the slope-intercept form of the equation of the line with the given properties.
-Slope $= 7 ; y$-intercept $= 12$

Accepted Answer

A)  $y = 7 x - 12$ 
B)  $y = 7 x + 12$ 
C)  $y = 12 x + 7$ 
D)  $y = 12 x - 7$ 
A)  $y = 7 x - 12$ 
B)  $y = 7 x + 12$ 
C)  $y = 12 x + 7$ 
D)  $y = 12 x - 7$ B

Question 4

Find the center (h, k) and radius r of the circle with the given equation.
-$$x ^ { 2 } + y ^ { 2 } + 18 x - 8 y + 97 = 16$$

Accepted Answer

A)  $( \mathrm { h } , \mathrm { k } ) = ( 9 , - 4 ) ; \mathrm { r } = 16$ 
B)  $( \mathrm { h } , \mathrm { k } ) = ( 4 , - 9 ) ; \mathrm { r } = 4$ 
C)  $( h , k ) = ( - 4,9 ) ; r = 16$ 
D)  $( h , k ) = ( - 9,4 ) ; r = 4$ 
A)  $( \mathrm { h } , \mathrm { k } ) = ( 9 , - 4 ) ; \mathrm { r } = 16$ 
B)  $( \mathrm { h } , \mathrm { k } ) = ( 4 , - 9 ) ; \mathrm { r } = 4$ 
C)  $( h , k ) = ( - 4,9 ) ; r = 16$ 
D)  $( h , k ) = ( - 9,4 ) ; r = 4$

Question 5

Determine whether the given point is on the graph of the equation.
-Equation: $x ^ { 2 } - y ^ { 2 } = 16$
Point: $( 2 \sqrt { 2 } , 2 \sqrt { 2 } )$

Accepted Answer

A)  Yes 
B)  $\mathrm { No }$ 
A)  Yes 
B)  $\mathrm { No }$

Question 6

Plot the point.
-$(0,-3)$

Accepted Answer

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

Question 7

Write the standard form of the equation of the circle with radius r and center (h, k).
-$$\mathrm { r } = \sqrt { 19 } ; ( \mathrm { h } , \mathrm { k } ) = ( 7 , - 10 )$$

Accepted Answer

A)  $( x + 7 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 19$ 
B)  $( x - 10 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 361$ 
C)  $( x + 10 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 361$ 
D)  $( x - 7 ) ^ { 2 } + ( y + 10 ) ^ { 2 } = 19$ 
A)  $( x + 7 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 19$ 
B)  $( x - 10 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 361$ 
C)  $( x + 10 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 361$ 
D)  $( x - 7 ) ^ { 2 } + ( y + 10 ) ^ { 2 } = 19$

Question 8

Write the equation in slope-intercept form.
-$5 x - 3 y = 1$

Accepted Answer

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

Question 9

Find the slope and y-intercept of the line.
-$$- x + 11 y = 66$$

Accepted Answer

A)  slope $= - 1 ; y$-intercept $= 66$ 
B)  slope $= \frac { 1 } { 11 } ; y$-intercept $= 6$ 
C)  slope $= - \frac { 1 } { 11 } ; y$-intercept $= 6$ 
D)  slope $= 11 ; \mathrm { y }$-intercept $= - 66$ 
A)  slope $= - 1 ; y$-intercept $= 66$ 
B)  slope $= \frac { 1 } { 11 } ; y$-intercept $= 6$ 
C)  slope $= - \frac { 1 } { 11 } ; y$-intercept $= 6$ 
D)  slope $= 11 ; \mathrm { y }$-intercept $= - 66$

Question 10

Write the equation in slope-intercept form.
-$$x = 5 y + 8$$

Accepted Answer

A)  $y = 5 x - 8$ 
B)  $y = \frac { 1 } { 5 } x - 8$ 
C)  $y = x - \frac { 8 } { 5 }$ 
D)  $y = \frac { 1 } { 5 } x - \frac { 8 } { 5 }$ 
A)  $y = 5 x - 8$ 
B)  $y = \frac { 1 } { 5 } x - 8$ 
C)  $y = x - \frac { 8 } { 5 }$ 
D)  $y = \frac { 1 } { 5 } x - \frac { 8 } { 5 }$

Question 11

Find the slope-intercept form of the equation of the line with the given properties.
-Horizontal; containing the point $\left( - \frac { 1 } { 9 } , 1 \right)$

Accepted Answer

A)  $y = - \frac { 1 } { 9 }$ 
B)  $y = 0$ 
C)  $y = - 1$ 
D)  $\mathrm { y } = 1$ 
A)  $y = - \frac { 1 } { 9 }$ 
B)  $y = 0$ 
C)  $y = - 1$ 
D)  $\mathrm { y } = 1$

Question 12

Find the slope and y-intercept of the line.
-$$2 x + 5 y = 8$$

Accepted Answer

A)  slope $= - \frac { 2 } { 5 } ; y$-intercept $= \frac { 8 } { 5 }$ 
B)  slope $= \frac { 2 } { 5 } ; y$-intercept $= - \frac { 8 } { 5 }$ 
C)  slope $= 2 ; y$-intercept $= 8$ 
D)  slope $= \frac { 2 } { 5 } ; y$-intercept $= \frac { 8 } { 5 }$ 
A)  slope $= - \frac { 2 } { 5 } ; y$-intercept $= \frac { 8 } { 5 }$ 
B)  slope $= \frac { 2 } { 5 } ; y$-intercept $= - \frac { 8 } { 5 }$ 
C)  slope $= 2 ; y$-intercept $= 8$ 
D)  slope $= \frac { 2 } { 5 } ; y$-intercept $= \frac { 8 } { 5 }$

Question 13

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)

Question 14

Find the midpoint of the line segment joining the points P1 and P2.
-$$\mathrm { P } _ { 1 } = ( \mathrm { a } , 2 ) ; \mathrm { P } _ { 2 } = ( 0,3 )$$

Accepted Answer

A)  $\left( a , \frac { 5 } { 2 } \right)$ 
B)  $\left( - \frac { a } { 2 } , 1 \right)$ 
C)  $\left( \frac { \mathrm { a } } { 2 } , \frac { 5 } { 2 } \right)$ 
D)  $( a , 5 )$ 
A)  $\left( a , \frac { 5 } { 2 } \right)$ 
B)  $\left( - \frac { a } { 2 } , 1 \right)$ 
C)  $\left( \frac { \mathrm { a } } { 2 } , \frac { 5 } { 2 } \right)$ 
D)  $( a , 5 )$

Question 15

Find an equation for the line with the given properties.
-Perpendicular to the line $y = 7$; containing the point $( 3,4 )$

Accepted Answer

A)  $x = 3$ 
B)  $x = 4$ 
C)  $y = 4$ 
D)  $y = 3$ 
A)  $x = 3$ 
B)  $x = 4$ 
C)  $y = 4$ 
D)  $y = 3$

Question 16

Find the slope of the line containing the two points.
-$$( - 2 , - 8 ) ; ( - 5 , - 8 )$$

Accepted Answer

A)  0 
B)  $- 3$ 
C)  $\frac { 1 } { 3 }$ 
D)  undefined 
A)  0 
B)  $- 3$ 
C)  $\frac { 1 } { 3 }$ 
D)  undefined

Question 17

Find an equation for the line with the given properties.
-Perpendicular to the line $x = 8$; containing the point $( 6,3 )$

Accepted Answer

A)  $x = 3$ 
B)  $y = 3$ 
C)  $y = 6$ 
D)  $x = 6$ 
A)  $x = 3$ 
B)  $y = 3$ 
C)  $y = 6$ 
D)  $x = 6$

Question 18

Find an equation for the line, in the indicated form, with the given properties.
-Containing the points $( 8,0 )$ and $( 0 , - 10 )$; general form

Accepted Answer

A)  $10 x + 8 y = 80$ 
B)  $10 x - 8 y = 80$ 
C)  $y = - \frac { 5 } { 4 } x + 8$ 
D)  $y = - \frac { 5 } { 4 } x - 10$ 
A)  $10 x + 8 y = 80$ 
B)  $10 x - 8 y = 80$ 
C)  $y = - \frac { 5 } { 4 } x + 8$ 
D)  $y = - \frac { 5 } { 4 } x - 10$

Question 19

Find an equation for the line, in the indicated form, with the given properties.
-Containing the points $( - 4,0 )$ and $( - 6 , - 3 )$; general form

Accepted Answer

A)  $- 4 x - 3 y = - 15$ 
B)  $- 3 x + 2 y = 12$ 
C)  $4 x + 3 y = - 15$ 
D)  $3 x + 2 y = 12$ 
A)  $- 4 x - 3 y = - 15$ 
B)  $- 3 x + 2 y = 12$ 
C)  $4 x + 3 y = - 15$ 
D)  $3 x + 2 y = 12$

Question 20

Plot the point.
-$(-1,0)$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
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. - $y = x - 6$

Find the center (h, k) and radius r of the circle. Graph the circle. - $x^{2}+y^{2}+8 x+6 y+16=0$ $Find the center (h, k) and radius r of the circle. Graph the circle. - x^{2}+y^{2}+8 x+6 y+16=0$

Find the slope-intercept form of the equation of the line with the given properties. -Slope $= 7 ; y$ -intercept $= 12$

Find the center (h, k) and radius r of the circle with the given equation. - $x ^ { 2 } + y ^ { 2 } + 18 x - 8 y + 97 = 16$

Determine whether the given point is on the graph of the equation. -Equation: $x ^ { 2 } - y ^ { 2 } = 16$ Point: $( 2 \sqrt { 2 } , 2 \sqrt { 2 } )$

Plot the point. - $(0,-3)$

Write the standard form of the equation of the circle with radius r and center (h, k). - $\mathrm { r } = \sqrt { 19 } ; ( \mathrm { h } , \mathrm { k } ) = ( 7 , - 10 )$

Write the equation in slope-intercept form. - $5 x - 3 y = 1$

Find the slope and y-intercept of the line. - $- x + 11 y = 66$

Write the equation in slope-intercept form. - $x = 5 y + 8$

Find the slope-intercept form of the equation of the line with the given properties. -Horizontal; containing the point $\left( - \frac { 1 } { 9 } , 1 \right)$

Find the slope and y-intercept of the line. - $2 x + 5 y = 8$

List the intercepts of the graph. -

Find the midpoint of the line segment joining the points P1 and P2. - $\mathrm { P } _ { 1 } = ( \mathrm { a } , 2 ) ; \mathrm { P } _ { 2 } = ( 0,3 )$

Find an equation for the line with the given properties. -Perpendicular to the line $y = 7$ ; containing the point $( 3,4 )$

Find the slope of the line containing the two points. - $( - 2 , - 8 ) ; ( - 5 , - 8 )$

Find an equation for the line with the given properties. -Perpendicular to the line $x = 8$ ; containing the point $( 6,3 )$

Find an equation for the line, in the indicated form, with the given properties. -Containing the points $( 8,0 )$ and $( 0 , - 10 )$ ; general form

Find an equation for the line, in the indicated form, with the given properties. -Containing the points $( - 4,0 )$ and $( - 6 , - 3 )$ ; general form

Plot the point. - $(-1,0)$

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

Graphing Utilities

Filters

Exam 14: Foundations: a Prelude to Functions

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - y=x−6y = x - 6y=x−6

Find the center (h, k) and radius r of the circle. Graph the circle. - x2+y2+8x+6y+16=0x^{2}+y^{2}+8 x+6 y+16=0x2+y2+8x+6y+16=0

Find the slope-intercept form of the equation of the line with the given properties. -Slope =7;y= 7 ; y=7;y -intercept =12= 12=12

Find the center (h, k) and radius r of the circle with the given equation. - x2+y2+18x−8y+97=16x ^ { 2 } + y ^ { 2 } + 18 x - 8 y + 97 = 16x2+y2+18x−8y+97=16

Determine whether the given point is on the graph of the equation. -Equation: x2−y2=16x ^ { 2 } - y ^ { 2 } = 16x2−y2=16 Point: (22,22)( 2 \sqrt { 2 } , 2 \sqrt { 2 } )(22​,22​)

Plot the point. - (0,−3)(0,-3)(0,−3)

Write the standard form of the equation of the circle with radius r and center (h, k). - r=19;(h,k)=(7,−10)\mathrm { r } = \sqrt { 19 } ; ( \mathrm { h } , \mathrm { k } ) = ( 7 , - 10 )r=19​;(h,k)=(7,−10)

Write the equation in slope-intercept form. - 5x−3y=15 x - 3 y = 15x−3y=1

Find the slope and y-intercept of the line. - −x+11y=66- x + 11 y = 66−x+11y=66

Write the equation in slope-intercept form. - x=5y+8x = 5 y + 8x=5y+8

Find the slope-intercept form of the equation of the line with the given properties. -Horizontal; containing the point (−19,1)\left( - \frac { 1 } { 9 } , 1 \right)(−91​,1)

Find the slope and y-intercept of the line. - 2x+5y=82 x + 5 y = 82x+5y=8