Question 1

Decide whether or not the points are the vertices of a right triangle.
-(6, 12), (8, 16), (10, 15)

Accepted Answer

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

Question 2

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)  intercept: $( 0,9 )$
symmetric with respect to $x$-axis 
B)  intercept: $( 9,0 )$
no symmetry 
C)  intercept: $( 0,9 )$
no symmetry 
D)  intercept: $( 9,0 )$
symmetric with respect to $\mathrm { y }$-axis 
A)  intercept: $( 0,9 )$
symmetric with respect to $x$-axis 
B)  intercept: $( 9,0 )$
no symmetry 
C)  intercept: $( 0,9 )$
no symmetry 
D)  intercept: $( 9,0 )$
symmetric with respect to $\mathrm { y }$-axis

Question 3

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

Accepted Answer

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

Question 4

Decide whether the pair of lines is parallel, perpendicular, or neither.
-$$\begin{array} { l } 
9 x + 3 y = 12 \
15 x + 5 y = 22
\end{array}$$

Accepted Answer

A)  parallel 
B)  perpendicular 
C)  neither 
A)  parallel 
B)  perpendicular 
C)  neither

Question 5

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 6

Find an equation for the line, in the indicated form, with the given properties.
-Containing the points $( 4 , - 4 )$ and $( - 9,0 )$; general form

Accepted Answer

A)  $- 8 x + 9 y = 72$ 
B)  $- 4 x + 13 y = - 36$ 
C)  $8 x - 9 y = 72$ 
D)  $4 x + 13 y = - 36$ 
A)  $- 8 x + 9 y = 72$ 
B)  $- 4 x + 13 y = - 36$ 
C)  $8 x - 9 y = 72$ 
D)  $4 x + 13 y = - 36$

Question 7

Solve the problem.
-If $( 3 , b )$ is a point on the graph of $3 x - 2 y = 17$, what is $b$ ?

Accepted Answer

A)  $- 4$ 
B)  $\frac { 11 } { 3 }$ 
C)  $\frac { 23 } { 3 }$ 
D)  4 
A)  $- 4$ 
B)  $\frac { 11 } { 3 }$ 
C)  $\frac { 23 } { 3 }$ 
D)  4

Question 8

Find the slope of the line.
-

Accepted Answer

A)  $- 1$ 
B)  2 
C)  $- 2$ 
D)  1 
A)  $- 1$ 
B)  2 
C)  $- 2$ 
D)  1

Question 9

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

Accepted Answer

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

Question 10

List the intercepts of the graph.
-

Accepted Answer

A)  (4, 0), (0, 4), (0, 1), (0, -5) 
B)  (-4, 0), (1, 0), (5, 0), (0, 4) 
C)  (4, 0), (0, -4), (0, 1), (0, 5) 
D)  (4, 0), (1, 0) (-5, 0), (0, 4) 
A)  (4, 0), (0, 4), (0, 1), (0, -5) 
B)  (-4, 0), (1, 0), (5, 0), (0, 4) 
C)  (4, 0), (0, -4), (0, 1), (0, 5) 
D)  (4, 0), (1, 0) (-5, 0), (0, 4)

Question 11

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

Accepted Answer

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

Question 12

Graph the line containing the point P and having slope m.
-$P=(-4,-8) ; \mathrm{m}=-1$

Accepted Answer

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

Question 13

Find the distance d(P1, P2) between the points P1 and P2.
-$$\mathrm { P } _ { 1 } = ( 0,0 ) ; \mathrm { P } _ { 2 } = ( - 9,5 )$$

Accepted Answer

A)  4 
B)  $\sqrt { 106 }$ 
C)  $\sqrt { 14 }$ 
D)  106 
A)  4 
B)  $\sqrt { 106 }$ 
C)  $\sqrt { 14 }$ 
D)  106

Question 14

Decide whether or not the points are the vertices of a right triangle.
-(8, -7), (14, -5), (13, -10)

Accepted Answer

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

Question 15

Find the midpoint of the line segment joining the points P1 and P2.
-$$P _ { 1 } = ( 7,1 ) ; P _ { 2 } = ( - 16 , - 16 )$$

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 16

Solve the problem.
-Find the length of each side of the triangle determined by the three points $\mathrm { P } _ { 1 } , \mathrm { P } _ { 2 }$, and $\mathrm { P } _ { 3 }$. State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both.
$$\mathrm { P } _ { 1 } = ( - 5 , - 4 ) , \mathrm { P } _ { 2 } = ( - 3,4 ) , \mathrm { P } _ { 3 } = ( 0 , - 1 )$$

Accepted Answer

A)  $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = 5 \sqrt { 2 }$
neither 
B)  $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = 5 \sqrt { 2 }$
right triangle 
C)  $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 }$
both 
D)  $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 }$
isosceles triangle 
A)  $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = 5 \sqrt { 2 }$
neither 
B)  $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = 5 \sqrt { 2 }$
right triangle 
C)  $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 }$
both 
D)  $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) = 2 \sqrt { 17 } ; \mathrm { d } \left( \mathrm { P } _ { 2 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 } ; \mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 3 } \right) = \sqrt { 34 }$
isosceles triangle

Question 17

Graph the line containing the point P and having slope m.
-$\mathrm{P}=(-8,10) ; \mathrm{m}=0$

Accepted Answer

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

Question 18

Find an equation for the line with the given properties.
-Perpendicular to the line $9 x - 5 y = 108$; containing the point $( 7,9 )$

Accepted Answer

A)  $9 x + 5 = 9$ 
B)  $5 x + 9 y = 116$ 
C)  $5 x - 9 y = 116$ 
D)  $7 x + 5 y = 108$ 
A)  $9 x + 5 = 9$ 
B)  $5 x + 9 y = 116$ 
C)  $5 x - 9 y = 116$ 
D)  $7 x + 5 y = 108$

Question 19

Write the equation in slope-intercept form.
-$6 x + 7 y = 1$

Accepted Answer

A)  $y = \frac { 10 } { 7 } x + \frac { 1 } { 7 }$ 
B)  $y = \frac { 7 } { 6 } x - \frac { 1 } { 6 }$ 
C)  $y = \frac { 6 } { 7 } x + \frac { 1 } { 7 }$ 
D)  $y = 6 x + 10$ 
A)  $y = \frac { 10 } { 7 } x + \frac { 1 } { 7 }$ 
B)  $y = \frac { 7 } { 6 } x - \frac { 1 } { 6 }$ 
C)  $y = \frac { 6 } { 7 } x + \frac { 1 } { 7 }$ 
D)  $y = 6 x + 10$

Question 20

Find the slope and y-intercept of the line.
-$$6 x + y = - 3$$

Accepted Answer

A)  slope $= - 2 ; y$-intercept $= - \frac { 1 } { 3 }$ 
B)  slope $= 6 ; y$-intercept $= - 3$ 
C)  slope $= - \frac { 1 } { 6 } ; \mathrm { y }$-intercept $= - \frac { 1 } { 2 }$ 
D)  slope $= - 6 ; y$-intercept $= - 3$ 
A)  slope $= - 2 ; y$-intercept $= - \frac { 1 } { 3 }$ 
B)  slope $= 6 ; y$-intercept $= - 3$ 
C)  slope $= - \frac { 1 } { 6 } ; \mathrm { y }$-intercept $= - \frac { 1 } { 2 }$ 
D)  slope $= - 6 ; y$-intercept $= - 3$

Decide whether or not the points are the vertices of a right triangle. -(6, 12), (8, 16), (10, 15)

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

Decide whether the pair of lines is parallel, perpendicular, or neither. - 9x+3y=12 15x+5y=22

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

Find an equation for the line, in the indicated form, with the given properties. -Containing the points $( 4 , - 4 )$ and $( - 9,0 )$ ; general form

Solve the problem. -If $( 3 , b )$ is a point on the graph of $3 x - 2 y = 17$ , what is $b$ ?

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. - $y = - 4 x$

List the intercepts of the graph. -

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

Graph the line containing the point P and having slope m. - $P=(-4,-8) ; \mathrm{m}=-1$ $Graph the line containing the point P and having slope m. - P=(-4,-8) ; \mathrm{m}=-1$

Find the distance d(P1, P2) between the points P1 and P2. - $\mathrm { P } _ { 1 } = ( 0,0 ) ; \mathrm { P } _ { 2 } = ( - 9,5 )$

Decide whether or not the points are the vertices of a right triangle. -(8, -7), (14, -5), (13, -10)

Find the midpoint of the line segment joining the points P1 and P2. - $P _ { 1 } = ( 7,1 ) ; P _ { 2 } = ( - 16 , - 16 )$

Graph the line containing the point P and having slope m. - $\mathrm{P}=(-8,10) ; \mathrm{m}=0$ $Graph the line containing the point P and having slope m. - \mathrm{P}=(-8,10) ; \mathrm{m}=0$

Find an equation for the line with the given properties. -Perpendicular to the line $9 x - 5 y = 108$ ; containing the point $( 7,9 )$

Write the equation in slope-intercept form. - $6 x + 7 y = 1$

Find the slope and y-intercept of the line. - $6 x + y = - 3$

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

Decide whether or not the points are the vertices of a right triangle. -(6, 12), (8, 16), (10, 15)

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. - x2+(y−2)2=4x^{2}+(y-2)^{2}=4x2+(y−2)2=4

Decide whether the pair of lines is parallel, perpendicular, or neither. - 9x+3y=12 15x+5y=22

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

Find an equation for the line, in the indicated form, with the given properties. -Containing the points (4,−4)( 4 , - 4 )(4,−4) and (−9,0)( - 9,0 )(−9,0) ; general form

Solve the problem. -If (3,b)( 3 , b )(3,b) is a point on the graph of 3x−2y=173 x - 2 y = 173x−2y=17 , what is bbb ?

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. - y=−4xy = - 4 xy=−4x

List the intercepts of the graph. -

Graph the equation. - x2+y2=9x^{2}+y^{2}=9x2+y2=9

Graph the line containing the point P and having slope m. - P=(−4,−8);m=−1P=(-4,-8) ; \mathrm{m}=-1P=(−4,−8);m=−1

Find the distance d(P1, P2) between the points P1 and P2. - P1=(0,0);P2=(−9,5)\mathrm { P } _ { 1 } = ( 0,0 ) ; \mathrm { P } _ { 2 } = ( - 9,5 )P1​=(0,0);P2​=(−9,5)

Decide whether or not the points are the vertices of a right triangle. -(8, -7), (14, -5), (13, -10)

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

Graph the line containing the point P and having slope m. - P=(−8,10);m=0\mathrm{P}=(-8,10) ; \mathrm{m}=0P=(−8,10);m=0

Find an equation for the line with the given properties. -Perpendicular to the line 9x−5y=1089 x - 5 y = 1089x−5y=108 ; containing the point (7,9)( 7,9 )(7,9)

Write the equation in slope-intercept form. - 6x+7y=16 x + 7 y = 16x+7y=1

Find the slope and y-intercept of the line. - 6x+y=−36 x + y = - 36x+y=−3

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

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

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

Find an equation for the line, in the indicated form, with the given properties. -Containing the points $( 4 , - 4 )$ and $( - 9,0 )$ ; general form

Solve the problem. -If $( 3 , b )$ is a point on the graph of $3 x - 2 y = 17$ , what is $b$ ?

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

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

Graph the line containing the point P and having slope m. - $P=(-4,-8) ; \mathrm{m}=-1$ $Graph the line containing the point P and having slope m. - P=(-4,-8) ; \mathrm{m}=-1$

Find the distance d(P1, P2) between the points P1 and P2. - $\mathrm { P } _ { 1 } = ( 0,0 ) ; \mathrm { P } _ { 2 } = ( - 9,5 )$

Find the midpoint of the line segment joining the points P1 and P2. - $P _ { 1 } = ( 7,1 ) ; P _ { 2 } = ( - 16 , - 16 )$

Graph the line containing the point P and having slope m. - $\mathrm{P}=(-8,10) ; \mathrm{m}=0$ $Graph the line containing the point P and having slope m. - \mathrm{P}=(-8,10) ; \mathrm{m}=0$

Find an equation for the line with the given properties. -Perpendicular to the line $9 x - 5 y = 108$ ; containing the point $( 7,9 )$

Write the equation in slope-intercept form. - $6 x + 7 y = 1$

Find the slope and y-intercept of the line. - $6 x + y = - 3$