Question 1

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$x ^ { 2 } + y - 81 = 0$$

Accepted Answer

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

Question 2

Tell in which quadrant or on what coordinate axis the point lies.
-$( - 16,14 )$

Accepted Answer

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

Question 3

Find the slope-intercept form of the equation of the line with the given properties.
-Horizontal; containing the point $( 3.5 , - 0.7 )$

Accepted Answer

A)  $y = 0$ 
B)  $y = 2.8$ 
C)  $y = 3.5$ 
D)  $y = - 0.7$ 
A)  $y = 0$ 
B)  $y = 2.8$ 
C)  $y = 3.5$ 
D)  $y = - 0.7$

Question 4

List the intercepts of the graph.
-

Accepted Answer

A)  $\left( 0 , - \frac { \pi } { 2 } \right) , ( 0 , - 2 ) , \left( 0 , \frac { \pi } { 2 } \right)$ 
B)  $\left( - \frac { \pi } { 2 } , 0 \right) , ( - 2,0 ) , \left( \frac { \pi } { 2 } , 0 \right)$ 
C)  $\left\{ 0 , - \frac { \pi } { 2 } \right) , ( - 2,0 ) , \left( 0 , \frac { \pi } { 2 } \right)$ 
D)  $\left( - \frac { \pi } { 2 } , 0 \right) , ( 0 , - 2 ) , \left( \frac { \pi } { 2 } , 0 \right)$ 
A)  $\left( 0 , - \frac { \pi } { 2 } \right) , ( 0 , - 2 ) , \left( 0 , \frac { \pi } { 2 } \right)$ 
B)  $\left( - \frac { \pi } { 2 } , 0 \right) , ( - 2,0 ) , \left( \frac { \pi } { 2 } , 0 \right)$ 
C)  $\left\{ 0 , - \frac { \pi } { 2 } \right) , ( - 2,0 ) , \left( 0 , \frac { \pi } { 2 } \right)$ 
D)  $\left( - \frac { \pi } { 2 } , 0 \right) , ( 0 , - 2 ) , \left( \frac { \pi } { 2 } , 0 \right)$

Question 5

Find the center (h, k) and radius r of the circle with the given equation.
-$$x ^ { 2 } - 16 x + 64 + ( y + 3 ) ^ { 2 } = 9$$

Accepted Answer

A)  $( h , k ) = ( 8 , - 3 ) ; r = 3$ 
B)  $( h , k ) = ( - 8,3 ) ; r = 9$ 
C)  $( \mathrm { h } , \mathrm { k } ) = ( - 3,8 ) ; \mathrm { r } = 3$ 
D)  $( h , k ) = ( 3 , - 8 ) ; r = 9$ 
A)  $( h , k ) = ( 8 , - 3 ) ; r = 3$ 
B)  $( h , k ) = ( - 8,3 ) ; r = 9$ 
C)  $( \mathrm { h } , \mathrm { k } ) = ( - 3,8 ) ; \mathrm { r } = 3$ 
D)  $( h , k ) = ( 3 , - 8 ) ; r = 9$

Question 6

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 7

Find an equation for the line with the given properties.
-Parallel to the line 9x + 8y = 23; containing the point (7, 1)

Accepted Answer

A)  9x + 8y = 71 
B)  7x + 8y = 23 
C)  8x + 9y = 1 
D)  9x - 8y = 71 
A)  9x + 8y = 71 
B)  7x + 8y = 23 
C)  8x + 9y = 1 
D)  9x - 8y = 71

Question 8

List the intercepts of the graph.
-

Accepted Answer

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

Question 9

Find an equation for the line with the given properties.
-Parallel to the line x = -6; containing the point (3, 7)

Accepted Answer

A)  y = -6 
B)  x = 3 
C)  x = 7 
D)  y = 7 
A)  y = -6 
B)  x = 3 
C)  x = 7 
D)  y = 7

Question 10

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$y = 2 x ^ { 2 } + 5$$

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

Question 11

Find the distance d(P1, P2) between the points P1 and P2.
-$$\mathrm { P } _ { 1 } = ( 6,1 ) ; \mathrm { P } _ { 2 } = ( - 2 , - 2 )$$

Accepted Answer

A)  5 
B)  $\sqrt { 55 }$ 
C)  24 
D)  $\sqrt { 73 }$ 
A)  5 
B)  $\sqrt { 55 }$ 
C)  24 
D)  $\sqrt { 73 }$

Question 12

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

Accepted Answer

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

Question 13

Find an equation for the line with the given properties.
-Slope undefined; containing the point $( - 2,2 )$

Accepted Answer

A)  $x = 2$ 
B)  $y = - 2$ 
C)  $x = - 2$ 
D)  $y = 2$ 
A)  $x = 2$ 
B)  $y = - 2$ 
C)  $x = - 2$ 
D)  $y = 2$

Question 14

Find the distance d(P1, P2) between the points P1 and P2.
-$$\mathrm { P } _ { 1 } = ( - 3 , - 1 ) ; \mathrm { P } _ { 2 } = ( 5,3 )$$

Accepted Answer

A)  48 
B)  $4 \sqrt { 5 }$ 
C)  4 
D)  $48 \sqrt { 3 }$ 
A)  48 
B)  $4 \sqrt { 5 }$ 
C)  4 
D)  $48 \sqrt { 3 }$

Question 15

Tell in which quadrant or on what coordinate axis the point lies.
-(-7, 0)

Accepted Answer

A)  x-axis 
B)  Quadrant II 
C)  Quadrant I 
D)  y-axis 
A)  x-axis 
B)  Quadrant II 
C)  Quadrant I 
D)  y-axis

Question 16

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 $= - \frac { 3 } { 7 } ;$ containing the point $( 5,3 )$

Accepted Answer

A)  $7 x + 3 y = - 36$ 
B)  $3 x + 7 y = 36$ 
C)  $3 x - 7 y = 36$ 
D)  $3 x + 7 y = - 36$ 
A)  $7 x + 3 y = - 36$ 
B)  $3 x + 7 y = 36$ 
C)  $3 x - 7 y = 36$ 
D)  $3 x + 7 y = - 36$

Question 17

Graph the circle with radius r and center (h, k).
-$\mathrm{r}=6 ;(\mathrm{h}, \mathrm{k})=(0,4)$

Accepted Answer

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

Question 18

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

Accepted Answer

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

Question 19

Write the standard form of the equation of the circle with radius r and center (h, k).
-$$\mathrm { r } = 2 ; ( \mathrm { h } , \mathrm { k } ) = ( 0,0 )$$

Accepted Answer

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

Question 20

Find the slope of the line.
-

Accepted Answer

A)  5 
B)  1 
C)  $- 1$ 
D)  $- 5$ 
A)  5 
B)  1 
C)  $- 1$ 
D)  $- 5$

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $x ^ { 2 } + y - 81 = 0$

Tell in which quadrant or on what coordinate axis the point lies. - $( - 16,14 )$

Find the slope-intercept form of the equation of the line with the given properties. -Horizontal; containing the point $( 3.5 , - 0.7 )$

List the intercepts of the graph. -

Find the center (h, k) and radius r of the circle with the given equation. - $x ^ { 2 } - 16 x + 64 + ( y + 3 ) ^ { 2 } = 9$

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

Find an equation for the line with the given properties. -Parallel to the line 9x + 8y = 23; containing the point (7, 1)

List the intercepts of the graph. -

Find an equation for the line with the given properties. -Parallel to the line x = -6; containing the point (3, 7)

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $y = 2 x ^ { 2 } + 5$

Find the distance d(P1, P2) between the points P1 and P2. - $\mathrm { P } _ { 1 } = ( 6,1 ) ; \mathrm { P } _ { 2 } = ( - 2 , - 2 )$

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

Find an equation for the line with the given properties. -Slope undefined; containing the point $( - 2,2 )$

Find the distance d(P1, P2) between the points P1 and P2. - $\mathrm { P } _ { 1 } = ( - 3 , - 1 ) ; \mathrm { P } _ { 2 } = ( 5,3 )$

Tell in which quadrant or on what coordinate axis the point lies. -(-7, 0)

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 $= - \frac { 3 } { 7 } ;$ containing the point $( 5,3 )$

Graph the circle with radius r and center (h, k). - $\mathrm{r}=6 ;(\mathrm{h}, \mathrm{k})=(0,4)$ $Graph the circle with radius r and center (h, k). - \mathrm{r}=6 ;(\mathrm{h}, \mathrm{k})=(0,4)$

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

Write the standard form of the equation of the circle with radius r and center (h, k). - $\mathrm { r } = 2 ; ( \mathrm { h } , \mathrm { k } ) = ( 0,0 )$

Find the slope of the line. -

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. - x2+y−81=0x ^ { 2 } + y - 81 = 0x2+y−81=0

Tell in which quadrant or on what coordinate axis the point lies. - (−16,14)( - 16,14 )(−16,14)

Find the slope-intercept form of the equation of the line with the given properties. -Horizontal; containing the point (3.5,−0.7)( 3.5 , - 0.7 )(3.5,−0.7)

List the intercepts of the graph. -

Find the center (h, k) and radius r of the circle with the given equation. - x2−16x+64+(y+3)2=9x ^ { 2 } - 16 x + 64 + ( y + 3 ) ^ { 2 } = 9x2−16x+64+(y+3)2=9

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

Find an equation for the line with the given properties. -Parallel to the line 9x + 8y = 23; containing the point (7, 1)

List the intercepts of the graph. -

Find an equation for the line with the given properties. -Parallel to the line x = -6; containing the point (3, 7)

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - y=2x2+5y = 2 x ^ { 2 } + 5y=2x2+5

Find the distance d(P1, P2) between the points P1 and P2. - P1=(6,1);P2=(−2,−2)\mathrm { P } _ { 1 } = ( 6,1 ) ; \mathrm { P } _ { 2 } = ( - 2 , - 2 )P1​=(6,1);P2​=(−2,−2)

Graph the equation by plotting points. - x=y2x = y ^ { 2 }x=y2

Find an equation for the line with the given properties. -Slope undefined; containing the point (−2,2)( - 2,2 )(−2,2)

Find the distance d(P1, P2) between the points P1 and P2. - P1=(−3,−1);P2=(5,3)\mathrm { P } _ { 1 } = ( - 3 , - 1 ) ; \mathrm { P } _ { 2 } = ( 5,3 )P1​=(−3,−1);P2​=(5,3)

Tell in which quadrant or on what coordinate axis the point lies. -(-7, 0)

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 =−37;= - \frac { 3 } { 7 } ;=−73​; containing the point (5,3)( 5,3 )(5,3)

Graph the circle with radius r and center (h, k). - r=6;(h,k)=(0,4)\mathrm{r}=6 ;(\mathrm{h}, \mathrm{k})=(0,4)r=6;(h,k)=(0,4)

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

Write the standard form of the equation of the circle with radius r and center (h, k). - r=2;(h,k)=(0,0)\mathrm { r } = 2 ; ( \mathrm { h } , \mathrm { k } ) = ( 0,0 )r=2;(h,k)=(0,0)

Find the slope of the line. -

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

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $x ^ { 2 } + y - 81 = 0$

Tell in which quadrant or on what coordinate axis the point lies. - $( - 16,14 )$

Find the slope-intercept form of the equation of the line with the given properties. -Horizontal; containing the point $( 3.5 , - 0.7 )$

Find the center (h, k) and radius r of the circle with the given equation. - $x ^ { 2 } - 16 x + 64 + ( y + 3 ) ^ { 2 } = 9$

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $y = 2 x ^ { 2 } + 5$

Find the distance d(P1, P2) between the points P1 and P2. - $\mathrm { P } _ { 1 } = ( 6,1 ) ; \mathrm { P } _ { 2 } = ( - 2 , - 2 )$

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

Find an equation for the line with the given properties. -Slope undefined; containing the point $( - 2,2 )$

Find the distance d(P1, P2) between the points P1 and P2. - $\mathrm { P } _ { 1 } = ( - 3 , - 1 ) ; \mathrm { P } _ { 2 } = ( 5,3 )$

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 $= - \frac { 3 } { 7 } ;$ containing the point $( 5,3 )$

Graph the circle with radius r and center (h, k). - $\mathrm{r}=6 ;(\mathrm{h}, \mathrm{k})=(0,4)$ $Graph the circle with radius r and center (h, k). - \mathrm{r}=6 ;(\mathrm{h}, \mathrm{k})=(0,4)$

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

Write the standard form of the equation of the circle with radius r and center (h, k). - $\mathrm { r } = 2 ; ( \mathrm { h } , \mathrm { k } ) = ( 0,0 )$