Question 1

Solve the problem.
-Find an equation in general form for the line graphed on a graphing utility.

Accepted Answer

A)  $x + 2 y = - 2$ 
B)  $y = - 2 x - 1$ 
C)  $2 x + y = - 1$ 
D)  $y = - \frac { 1 } { 2 } x - 1$ 
A)  $x + 2 y = - 2$ 
B)  $y = - 2 x - 1$ 
C)  $2 x + y = - 1$ 
D)  $y = - \frac { 1 } { 2 } x - 1$

Question 2

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$y = - 9 x ^ { 4 } - 3 x + 5$$

Accepted Answer

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

Question 3

Graph the line containing the point P and having slope m.
-$P=(5,-2) ; m=\frac{1}{8}$

Accepted Answer

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

Question 4

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 5

Find an equation for the line with the given properties.
-Perpendicular to the line $x - 2 y = 2$; containing the point $( 5,3 )$

Accepted Answer

A)  $y = 2 x - 13$ 
B)  $y = - 2 x + 13$ 
C)  $y = - \frac { 1 } { 2 } x - \frac { 13 } { 2 }$ 
D)  $y = - 2 x - 13$ 
A)  $y = 2 x - 13$ 
B)  $y = - 2 x + 13$ 
C)  $y = - \frac { 1 } { 2 } x - \frac { 13 } { 2 }$ 
D)  $y = - 2 x - 13$

Question 6

List the intercepts for the graph of the equation.
-$$y = x ^ { 2 } + 25$$

Accepted Answer

A)  $( 0,25 )$ 
B)  $( 0,25 ) , ( - 5,0 ) , ( 5,0 )$ 
C)  $( 25,0 )$ 
D)  $( 25,0 ) , ( 0 , - 5 ) , ( 0,5 )$ 
A)  $( 0,25 )$ 
B)  $( 0,25 ) , ( - 5,0 ) , ( 5,0 )$ 
C)  $( 25,0 )$ 
D)  $( 25,0 ) , ( 0 , - 5 ) , ( 0,5 )$

Question 7

Decide whether or not the points are the vertices of a right triangle.
-$$( - 1,7 ) , ( 6,7 ) , ( 6,9 )$$

Accepted Answer

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

Question 8

Tell in which quadrant or on what coordinate axis the point lies.
-(0, -6)

Accepted Answer

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

Question 9

Find the slope of the line and sketch its graph.
-$$y - 4 = 0$$

Accepted Answer

A)  slope $= \frac { 1 } { 4 }$
  
B)  slope $= 4$
  
C)  slope is undefined
  
D)  slope $= 0$
  
A)  slope $= \frac { 1 } { 4 }$
  
B)  slope $= 4$
  
C)  slope is undefined
  
D)  slope $= 0$

Question 10

Find the slope and y-intercept of the line.
-x = 5

Accepted Answer

A)  slope = 0; y-intercept = 5 
B)  slope undefined; no y-intercept 
C)  slope = 5; y-intercept = 0 
D)  slope undefined; y-intercept = 5 
A)  slope = 0; y-intercept = 5 
B)  slope undefined; no y-intercept 
C)  slope = 5; y-intercept = 0 
D)  slope undefined; y-intercept = 5

Question 11

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$4 x ^ { 2 } + 16 y ^ { 2 } = 64$$

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 12

Solve the problem.
-Find all the points having an $x$-coordinate of 9 whose distance from the point $( 3 , - 2 )$ is 10 .

Accepted Answer

A)  $( 9 , - 12 ) , ( 9,8 )$ 
B)  $( 9,13 ) , ( 9 , - 7 )$ 
C)  $( 9,2 ) , ( 9 , - 4 )$ 
D)  $( 9,6 ) , ( 9 , - 10 )$ 
A)  $( 9 , - 12 ) , ( 9,8 )$ 
B)  $( 9,13 ) , ( 9 , - 7 )$ 
C)  $( 9,2 ) , ( 9 , - 4 )$ 
D)  $( 9,6 ) , ( 9 , - 10 )$

Question 13

Decide whether the pair of lines is parallel, perpendicular, or neither.
-$$\begin{array} { l } 
3 \mathrm { x } - 6 \mathrm { y } = 7 \
18 \mathrm { x } + 9 \mathrm { y } = - 7
\end{array}$$

Accepted Answer

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

Question 14

List the intercepts for the graph of the equation.
-$$y = x ^ { 4 } - 1$$

Accepted Answer

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

Question 15

Find the distance d(P1, P2) between the points P1 and P2.
-

Accepted Answer

A)  $\sqrt { 15 }$ 
B)  56 
C)  1 
D)  $\sqrt { 113 }$ 
A)  $\sqrt { 15 }$ 
B)  56 
C)  1 
D)  $\sqrt { 113 }$

Question 16

Find the slope of the line containing the two points.
-$$( - 4 , - 3 ) ; ( - 4 , - 2 )$$

Accepted Answer

A)  $- 1$ 
B)  0 
C)  1 
D)  undefined 
A)  $- 1$ 
B)  0 
C)  1 
D)  undefined

Question 17

Find the general form of the equation of the the circle.
-Center at the point (2, -3); containing the point (5, -3)

Accepted Answer

A)  $x ^ { 2 } + y ^ { 2 } + 4 x - 6 y + 22 = 0$ 
B)  $x ^ { 2 } + y ^ { 2 } - 4 x + 6 y + 22 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } - 4 x + 6 y + 4 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } + 4 x - 6 y + 4 = 0$ 
A)  $x ^ { 2 } + y ^ { 2 } + 4 x - 6 y + 22 = 0$ 
B)  $x ^ { 2 } + y ^ { 2 } - 4 x + 6 y + 22 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } - 4 x + 6 y + 4 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } + 4 x - 6 y + 4 = 0$

Question 18

Find the slope of the line and sketch its graph.
-$3 x-4 y=-10$

Accepted Answer

A)  slope $= - \frac { 3 } { 4 }$
  
B)  slope $= \frac { 3 } { 4 }$
  
C)  slope $= \frac { 4 } { 3 }$
  
D)  slope $= - \frac { 4 } { 3 }$
  
A)  slope $= - \frac { 3 } { 4 }$
  
B)  slope $= \frac { 3 } { 4 }$
  
C)  slope $= \frac { 4 } { 3 }$
  
D)  slope $= - \frac { 4 } { 3 }$

Question 19

Find the slope and y-intercept of the line.
-$$x + 2 y = 1$$

Accepted Answer

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

Question 20

Find the midpoint of the line segment joining the points P1 and P2.
-$$\mathrm { P } _ { 1 } = ( - 0.8,0.2 ) ; \mathrm { P } _ { 2 } = ( - 2.8 , - 1.7 )$$

Accepted Answer

A)  $( - 0.75 , - 1.8 )$ 
B)  $( - 1.8 , - 0.75 )$ 
C)  $( - 1 , - 0.95 )$ 
D)  $( - 0.95 , - 1 )$ 
A)  $( - 0.75 , - 1.8 )$ 
B)  $( - 1.8 , - 0.75 )$ 
C)  $( - 1 , - 0.95 )$ 
D)  $( - 0.95 , - 1 )$

Solve the problem. -Find an equation in general form for the line graphed on a graphing utility.

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $y = - 9 x ^ { 4 } - 3 x + 5$

Graph the line containing the point P and having slope m. - $P=(5,-2) ; m=\frac{1}{8}$ $Graph the line containing the point P and having slope m. - P=(5,-2) ; m=\frac{1}{8}$

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

Find an equation for the line with the given properties. -Perpendicular to the line $x - 2 y = 2$ ; containing the point $( 5,3 )$

List the intercepts for the graph of the equation. - $y = x ^ { 2 } + 25$

Decide whether or not the points are the vertices of a right triangle. - $( - 1,7 ) , ( 6,7 ) , ( 6,9 )$

Tell in which quadrant or on what coordinate axis the point lies. -(0, -6)

Find the slope of the line and sketch its graph. - $y - 4 = 0$

Find the slope and y-intercept of the line. -x = 5

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $4 x ^ { 2 } + 16 y ^ { 2 } = 64$

Solve the problem. -Find all the points having an $x$ -coordinate of 9 whose distance from the point $( 3 , - 2 )$ is 10 .

Decide whether the pair of lines is parallel, perpendicular, or neither. - 3-6=7 18+9=-7

List the intercepts for the graph of the equation. - $y = x ^ { 4 } - 1$

Find the distance d(P1, P2) between the points P1 and P2. -

Find the slope of the line containing the two points. - $( - 4 , - 3 ) ; ( - 4 , - 2 )$

Find the general form of the equation of the the circle. -Center at the point (2, -3); containing the point (5, -3)

Find the slope of the line and sketch its graph. - $3 x-4 y=-10$

Find the slope and y-intercept of the line. - $x + 2 y = 1$

Find the midpoint of the line segment joining the points P1 and P2. - $\mathrm { P } _ { 1 } = ( - 0.8,0.2 ) ; \mathrm { P } _ { 2 } = ( - 2.8 , - 1.7 )$

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