Question 1

List the intercepts for the graph of the equation.
-$$9 x ^ { 2 } + y ^ { 2 } = 9$$

Accepted Answer

A)  $( - 9,0 ) , ( 0 , - 1 ) , ( 0,1 ) , ( 9,0 )$ 
B)  $( - 1,0 ) , ( 0 , - 3 ) , ( 0,3 ) , ( 1,0 )$ 
C)  $( - 1,0 ) , ( 0 , - 9 ) , ( 0,9 ) , ( 1,0 )$ 
D)  $( - 3,0 ) , ( 0 , - 1 ) , ( 0,1 ) , ( 3,0 )$ 
A)  $( - 9,0 ) , ( 0 , - 1 ) , ( 0,1 ) , ( 9,0 )$ 
B)  $( - 1,0 ) , ( 0 , - 3 ) , ( 0,3 ) , ( 1,0 )$ 
C)  $( - 1,0 ) , ( 0 , - 9 ) , ( 0,9 ) , ( 1,0 )$ 
D)  $( - 3,0 ) , ( 0 , - 1 ) , ( 0,1 ) , ( 3,0 )$

Question 2

Determine whether the given point is on the graph of the equation.
-Equation: $y = x ^ { 3 } - \sqrt { x }$
Point: $( 1,0 )$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 3

Graph the equation by plotting points.
-$y=x+5$

Accepted Answer

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

Question 4

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

Accepted Answer

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

Question 5

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

Accepted Answer

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

Question 6

Find the center (h, k) and radius r of the circle with the given equation.
-$$4 x ^ { 2 } + 4 y ^ { 2 } - 12 x + 16 y - 5 = 0$$

Accepted Answer

A)  $( \mathrm { h } , \mathrm { k } ) = \left( \frac { 3 } { 2 } , - 2 \right) ; \mathrm { r } = \frac { \sqrt { 30 } } { 2 }$ 
B)  $( \mathrm { h } , \mathrm { k } ) = \left( - \frac { 3 } { 2 } , 2 \right) ; \mathrm { r } = \frac { 3 \sqrt { 5 } } { 2 }$ 
C)  $( h , k ) = \left( - \frac { 3 } { 2 } , 2 \right) ; r = \frac { \sqrt { 30 } } { 2 }$ 
D)  $( h , k ) = \left( \frac { 3 } { 2 } , - 2 \right) ; r = \frac { 3 \sqrt { 5 } } { 2 }$ 
A)  $( \mathrm { h } , \mathrm { k } ) = \left( \frac { 3 } { 2 } , - 2 \right) ; \mathrm { r } = \frac { \sqrt { 30 } } { 2 }$ 
B)  $( \mathrm { h } , \mathrm { k } ) = \left( - \frac { 3 } { 2 } , 2 \right) ; \mathrm { r } = \frac { 3 \sqrt { 5 } } { 2 }$ 
C)  $( h , k ) = \left( - \frac { 3 } { 2 } , 2 \right) ; r = \frac { \sqrt { 30 } } { 2 }$ 
D)  $( h , k ) = \left( \frac { 3 } { 2 } , - 2 \right) ; r = \frac { 3 \sqrt { 5 } } { 2 }$

Question 7

Solve the problem.
-If (5, 3) is the endpoint of a line segment, and (1, 1) is its midpoint, find the other endpoint.

Accepted Answer

A)  (13, 7) 
B)  (-3, 5) 
C)  (1, -5) 
D)  (-3, -1) 
A)  (13, 7) 
B)  (-3, 5) 
C)  (1, -5) 
D)  (-3, -1)

Question 8

Find the slope and y-intercept of the line.
-$$- 6 x + 5 y = 1$$

Accepted Answer

A)  slope $= 6 ; y$-intercept $= 12$ 
B)  slope $= \frac { 6 } { 5 } ; y$-intercept $= \frac { 1 } { 5 }$ 
C)  slope $= \frac { 5 } { 6 } ; y -$ intercept $= - \frac { 1 } { 6 }$ 
D)  slope $= \frac { 12 } { 5 } ; y$-intercept $= \frac { 1 } { 5 }$ 
A)  slope $= 6 ; y$-intercept $= 12$ 
B)  slope $= \frac { 6 } { 5 } ; y$-intercept $= \frac { 1 } { 5 }$ 
C)  slope $= \frac { 5 } { 6 } ; y -$ intercept $= - \frac { 1 } { 6 }$ 
D)  slope $= \frac { 12 } { 5 } ; y$-intercept $= \frac { 1 } { 5 }$

Question 9

Plot the point A. Plot the point B that has the given symmetry with point A.
-$$\mathrm { A } = ( 2 , - 5 ) ; \mathrm { B } \text { is symmetric to } \mathrm { A } \text { with respect to the } \mathrm { x } \text {-axis }$$

Accepted Answer

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

Question 10

Write the word or phrase that best completes each statement or answers the question.
-Each day the commuter train transports x passengers to or from the city at $1.75/passenger. The daily fixed cost
for running the train is $1200. Write an equation that relates the daily profit, P, in dollars to the number of
passengers each day. Then use the equation to find the daily profit when the train has 920 passengers in a day.

Accepted Answer

P = 1.75x

Question 11

Find the slope of the line.
-

Accepted Answer

A)  $- 2$ 
B)  2 
C)  $- \frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 2 }$ 
A)  $- 2$ 
B)  2 
C)  $- \frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 2 }$

Question 12

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$4 x ^ { 2 } + y ^ { 2 } = 4$$

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 13

Plot the point A. Plot the point B that has the given symmetry with point A.
-$$\mathrm { A } = ( 0,2 ) \text {; } \mathrm { B } \text { is symmetric to } \mathrm { A } \text { with respect to the origin }$$

Accepted Answer

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

Question 14

Find an equation for the line with the given properties.
-Parallel to the line y = 2; containing the point (8, 9)

Accepted Answer

A)  y = -9 
B)  y = 2 
C)  y = 9 
D)  y = 8 
A)  y = -9 
B)  y = 2 
C)  y = 9 
D)  y = 8

Question 15

List the intercepts for the graph of the equation.
-$$y = \frac { x ^ { 2 } - 9 } { 3 x ^ { 4 } }$$

Accepted Answer

A)  $( 0,0 )$ 
B)  $( - 3,0 ) , ( 3,0 )$ 
C)  $( 0 , - 3 ) , ( 0,3 )$ 
D)  $( - 9,0 ) , ( 0,0 ) , ( 9,0 )$ 
A)  $( 0,0 )$ 
B)  $( - 3,0 ) , ( 3,0 )$ 
C)  $( 0 , - 3 ) , ( 0,3 )$ 
D)  $( - 9,0 ) , ( 0,0 ) , ( 9,0 )$

Question 16

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 17

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: $( 3,0 )$ and $( - 3,0$
symmetric with respect to $\mathrm { y }$-axis 
B)  intercepts: $( 0,3 )$ and $( 0 , - 3 )$
symmetric with respect to origin 
C)  intercepts: $( 3,0 )$ and $( - 3,0 )$
symmetric with respect to $\mathrm { x }$-axis, $\mathrm { y }$-axis, and origin 
D)  intercepts: $( 0,3 )$ and $( 0 , - 3 )$
symmetric with respect to $x$-axis, $y$-axis, and origin 
A)  intercepts: $( 3,0 )$ and $( - 3,0$
symmetric with respect to $\mathrm { y }$-axis 
B)  intercepts: $( 0,3 )$ and $( 0 , - 3 )$
symmetric with respect to origin 
C)  intercepts: $( 3,0 )$ and $( - 3,0 )$
symmetric with respect to $\mathrm { x }$-axis, $\mathrm { y }$-axis, and origin 
D)  intercepts: $( 0,3 )$ and $( 0 , - 3 )$
symmetric with respect to $x$-axis, $y$-axis, and origin

Question 18

Graph the equation by plotting points.
-$4 x+3 y=12$

Accepted Answer

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

Question 19

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

Accepted Answer

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

Question 20

Solve the problem.
-If (7, -6) is the endpoint of a line segment, and (2, -5) is its midpoint, find the other endpoint.

Accepted Answer

A)  (-3, -4) 
B)  (9, -16) 
C)  (-3, -7) 
D)  (17, -8) 
A)  (-3, -4) 
B)  (9, -16) 
C)  (-3, -7) 
D)  (17, -8)

List the intercepts for the graph of the equation. - $9 x ^ { 2 } + y ^ { 2 } = 9$

Determine whether the given point is on the graph of the equation. -Equation: $y = x ^ { 3 } - \sqrt { x }$ Point: $( 1,0 )$

Graph the equation by plotting points. - $y=x+5$

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

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

Find the center (h, k) and radius r of the circle with the given equation. - $4 x ^ { 2 } + 4 y ^ { 2 } - 12 x + 16 y - 5 = 0$

Solve the problem. -If (5, 3) is the endpoint of a line segment, and (1, 1) is its midpoint, find the other endpoint.

Find the slope and y-intercept of the line. - $- 6 x + 5 y = 1$

Find the slope of the line. -

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $4 x ^ { 2 } + y ^ { 2 } = 4$

Find an equation for the line with the given properties. -Parallel to the line y = 2; containing the point (8, 9)

List the intercepts for the graph of the equation. - $y = \frac { x ^ { 2 } - 9 } { 3 x ^ { 4 } }$

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?

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. -

Graph the equation by plotting points. - $4 x+3 y=12$

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

Solve the problem. -If (7, -6) is the endpoint of a line segment, and (2, -5) is its midpoint, find the other endpoint.

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

List the intercepts for the graph of the equation. - 9x2+y2=99 x ^ { 2 } + y ^ { 2 } = 99x2+y2=9

Determine whether the given point is on the graph of the equation. -Equation: y=x3−xy = x ^ { 3 } - \sqrt { x }y=x3−x​ Point: (1,0)( 1,0 )(1,0)

Graph the equation by plotting points. - y=x+5y=x+5y=x+5

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

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

Find the center (h, k) and radius r of the circle with the given equation. - 4x2+4y2−12x+16y−5=04 x ^ { 2 } + 4 y ^ { 2 } - 12 x + 16 y - 5 = 04x2+4y2−12x+16y−5=0

Solve the problem. -If (5, 3) is the endpoint of a line segment, and (1, 1) is its midpoint, find the other endpoint.

Find the slope and y-intercept of the line. - −6x+5y=1- 6 x + 5 y = 1−6x+5y=1

Find the slope of the line. -

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - 4x2+y2=44 x ^ { 2 } + y ^ { 2 } = 44x2+y2=4

Find an equation for the line with the given properties. -Parallel to the line y = 2; containing the point (8, 9)

List the intercepts for the graph of the equation. - y=x2−93x4y = \frac { x ^ { 2 } - 9 } { 3 x ^ { 4 } }y=3x4x2−9​

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?

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. -

Graph the equation by plotting points. - 4x+3y=124 x+3 y=124x+3y=12

Graph the equation by plotting points. - y=x3y = x ^ { 3 }y=x3

Solve the problem. -If (7, -6) is the endpoint of a line segment, and (2, -5) is its midpoint, find the other endpoint.

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

List the intercepts for the graph of the equation. - $9 x ^ { 2 } + y ^ { 2 } = 9$

Determine whether the given point is on the graph of the equation. -Equation: $y = x ^ { 3 } - \sqrt { x }$ Point: $( 1,0 )$

Graph the equation by plotting points. - $y=x+5$

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

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

Find the center (h, k) and radius r of the circle with the given equation. - $4 x ^ { 2 } + 4 y ^ { 2 } - 12 x + 16 y - 5 = 0$

Find the slope and y-intercept of the line. - $- 6 x + 5 y = 1$

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $4 x ^ { 2 } + y ^ { 2 } = 4$

List the intercepts for the graph of the equation. - $y = \frac { x ^ { 2 } - 9 } { 3 x ^ { 4 } }$

Graph the equation by plotting points. - $4 x+3 y=12$

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