Question 1

Find the slope and y-intercept of the line.
-$$9 x - 11 y = 99$$

Accepted Answer

A)  slope $= - \frac { 9 } { 11 } ; y$-intercept $= 9$ 
B)  slope $= \frac { 9 } { 11 } ; y$-intercept $= - 9$ 
C)  slope $= \frac { 11 } { 9 } ; y$-intercept $= 11$ 
D)  slope $= 9 ; y$-intercept $= 99$ 
A)  slope $= - \frac { 9 } { 11 } ; y$-intercept $= 9$ 
B)  slope $= \frac { 9 } { 11 } ; y$-intercept $= - 9$ 
C)  slope $= \frac { 11 } { 9 } ; y$-intercept $= 11$ 
D)  slope $= 9 ; y$-intercept $= 99$

Question 2

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 3

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

Accepted Answer

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

Question 4

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

Accepted Answer

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

Question 5

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$y = - 2 x ^ { 3 } + 5 x$$

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 6

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 7

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 $x$-axis, $y$-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 $x$-axis, $y$-axis, and origin 
D)  intercepts: $( 4,0 ) , ( - 4,0 ) , ( 0,1 ) , ( 0 , - 1 )$
symmetric with respect to the origin

Question 8

Graph the equation.
-\((x-5)^{2}+(y+5)^{2}=4\

A)

Accepted Answer

B)

C) 
  
D) 
  
B)

C) 
  
D)

Question 9

Graph the equation.
-$$( x - 1 ) ^ { 2 } + y ^ { 2 } = 16$$
 
 A)

Accepted Answer

B)

C) 
  
D) 
  
B)

C) 
  
D)

Question 10

Find the slope-intercept form of the equation of the line with the given properties.
-Slope = 0; containing the point (8, 2)

Accepted Answer

A)  x = 8 
B)  y = 8 
C)  y = 2 
D)  x = 2 
A)  x = 8 
B)  y = 8 
C)  y = 2 
D)  x = 2

Question 11

Find the midpoint of the line segment joining the points $$P _ { 1 } \text { and } P _ { 2 }$$
-$$P _ { 1 } = ( 7,1 ) ; P _ { 2 } = ( - 16 , - 16 )$$

Accepted Answer

A)  $( - 9 , - 15 )$ 
B)  $( 9,15 )$ 
C)  $\left( - \frac { 9 } { 2 } , - \frac { 15 } { 2 } \right)$ 
D)  $\left( \frac { 23 } { 2 } , \frac { 17 } { 2 } \right)$ 
A)  $( - 9 , - 15 )$ 
B)  $( 9,15 )$ 
C)  $\left( - \frac { 9 } { 2 } , - \frac { 15 } { 2 } \right)$ 
D)  $\left( \frac { 23 } { 2 } , \frac { 17 } { 2 } \right)$

Question 12

Find the center (h, k) and radius r of the circle with the given equation.
-$$x ^ { 2 } - 4 x + 4 + y ^ { 2 } + 16 y + 64 = 9$$

Accepted Answer

A)  $( \mathrm { h } , \mathrm { k } ) = ( - 8,2 ) ; \mathrm { r } = 3$ 
B)  $( \mathrm { h } , \mathrm { k } ) = ( 2 , - 8 ) ; \mathrm { r } = 3$ 
C)  $( h , k ) = ( 8 , - 2 ) ; r = 9$ 
D)  $( \mathrm { h } , \mathrm { k } ) = ( - 2,8 ) ; \mathrm { r } = 9$ 
A)  $( \mathrm { h } , \mathrm { k } ) = ( - 8,2 ) ; \mathrm { r } = 3$ 
B)  $( \mathrm { h } , \mathrm { k } ) = ( 2 , - 8 ) ; \mathrm { r } = 3$ 
C)  $( h , k ) = ( 8 , - 2 ) ; r = 9$ 
D)  $( \mathrm { h } , \mathrm { k } ) = ( - 2,8 ) ; \mathrm { r } = 9$

Question 13

Graph the equation.
-$$x ^ { 2 } + y ^ { 2 } = 9$$

A)

Accepted Answer

B)

C) 
  
D) 
  
B)

C) 
  
D)

Question 14

Solve the problem.
-If a graph is symmetric with respect to the origin and it contains the point (-4, 7), which of the following points is also on the graph?

Accepted Answer

A)  (4, 7) 
B)  (4, -7) 
C)  (-4, -7) 
D)  (7, -4) 
A)  (4, 7) 
B)  (4, -7) 
C)  (-4, -7) 
D)  (7, -4)

Question 15

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

Question 16

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

Accepted Answer

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

Question 17

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. A) $( x + 1 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 136$

Accepted Answer

B)  $( x + 1 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 34$ 
C)  $( x - 1 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 34$ 
D)  $( x - 1 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 136$ 
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 18

Solve the problem.
-If a circle of radius 5 is made to roll along the x-axis, what is the equation for the path of the center of the circle?

Accepted Answer

A)  y = 10 
B)  x = 5 
C)  y = 0 
D)  y = 5 
A)  y = 10 
B)  x = 5 
C)  y = 0 
D)  y = 5

Question 19

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

Question 20

Graph the equation by plotting points.
-$$y = x ^ { 3 }$$
 
 A)

Accepted Answer

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

Find the slope and y-intercept of the line. - $9 x - 11 y = 99$

List the intercepts of the graph. -

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

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

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $y = - 2 x ^ { 3 } + 5 x$

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

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

Find the slope-intercept form of the equation of the line with the given properties. -Slope = 0; containing the point (8, 2)

Find the midpoint of the line segment joining the points $P _ { 1 } \text { and } P _ { 2 }$ - $P _ { 1 } = ( 7,1 ) ; P _ { 2 } = ( - 16 , - 16 )$

Find the center (h, k) and radius r of the circle with the given equation. - $x ^ { 2 } - 4 x + 4 + y ^ { 2 } + 16 y + 64 = 9$

Solve the problem. -If a graph is symmetric with respect to the origin and it contains the point (-4, 7), which of the following points is also on the graph?

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

Plot the point. - $( - 1,0 )$ A) B) C) D)

Solve the problem. -If a circle of radius 5 is made to roll along the x-axis, what is the equation for the path of the center of the circle?

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

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

Filters

Exam 14: Review

Find the slope and y-intercept of the line. - 9x−11y=999 x - 11 y = 999x−11y=99

List the intercepts of the graph. -

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

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - y=−2x3+5xy = - 2 x ^ { 3 } + 5 xy=−2x3+5x

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)

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

Graph the equation. - \((x-5)^{2}+(y+5)^{2}=4\ A) B) C) D)

Graph the equation. - (x−1)2+y2=16( x - 1 ) ^ { 2 } + y ^ { 2 } = 16(x−1)2+y2=16 A) B) C) D)

Find the slope-intercept form of the equation of the line with the given properties. -Slope = 0; containing the point (8, 2)

Find the midpoint of the line segment joining the points P1 and P2P _ { 1 } \text { and } P _ { 2 }P1​ and P2​ - P1=(7,1);P2=(−16,−16)P _ { 1 } = ( 7,1 ) ; P _ { 2 } = ( - 16 , - 16 )P1​=(7,1);P2​=(−16,−16)

Find the center (h, k) and radius r of the circle with the given equation. - x2−4x+4+y2+16y+64=9x ^ { 2 } - 4 x + 4 + y ^ { 2 } + 16 y + 64 = 9x2−4x+4+y2+16y+64=9

Graph the equation. - x2+y2=9x ^ { 2 } + y ^ { 2 } = 9x2+y2=9 A) B) C) D)

Solve the problem. -If a graph is symmetric with respect to the origin and it contains the point (-4, 7), which of the following points is also on the graph?

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

Plot the point. - (−1,0)( - 1,0 )(−1,0) A) B) C) D)

Solve the problem. -If a circle of radius 5 is made to roll along the x-axis, what is the equation for the path of the center of the circle?

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)

Graph the equation by plotting points. - y=x3y = x ^ { 3 }y=x3 A) B) C) D)

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

Filters

Find the slope and y-intercept of the line. - $9 x - 11 y = 99$

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $y = - 2 x ^ { 3 } + 5 x$

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

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

Find the midpoint of the line segment joining the points $P _ { 1 } \text { and } P _ { 2 }$ - $P _ { 1 } = ( 7,1 ) ; P _ { 2 } = ( - 16 , - 16 )$

Find the center (h, k) and radius r of the circle with the given equation. - $x ^ { 2 } - 4 x + 4 + y ^ { 2 } + 16 y + 64 = 9$

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

Plot the point. - $( - 1,0 )$ A) B) C) D)

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