Question 1

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

Accepted Answer

A)  slope $= 0 ; y$-intercept $= 5$ 
B)  slope $= \frac { 1 } { 5 } ; \mathrm { y }$-intercept $= 0$ 
C)  slope $= - 5 ; \mathrm { y }$-intercept $= 0$ 
D)  slope $= 5 ; y$-intercept $= 0$ 
A)  slope $= 0 ; y$-intercept $= 5$ 
B)  slope $= \frac { 1 } { 5 } ; \mathrm { y }$-intercept $= 0$ 
C)  slope $= - 5 ; \mathrm { y }$-intercept $= 0$ 
D)  slope $= 5 ; y$-intercept $= 0$

Question 2

Plot the point.
-$$( 0 , - 3 )$$
 
 A)

Accepted Answer

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

Question 3

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

Question 4

Tell in which quadrant or on what coordinate axis the point lies.
-(6, 17)

Accepted Answer

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

Question 5

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

Accepted Answer

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

Question 6

Graph the equation by plotting points.
-$x^{2}+4 y=4$

A)

Accepted Answer

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

Question 7

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

A)

Accepted Answer

B)

C) 
  
D) 
  
B)

C) 
  
D)

Question 8

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

Accepted Answer

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

Question 9

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 10

Find the distance d( $$\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) \text { between the points } \mathrm { P } _ { 1 } \text { and } \mathrm { P } _ { 2 }$$ .
-  A) 108

Accepted Answer

B)  $6 \sqrt { 5 }$ 
C)  $108 \sqrt { 3 }$ 
D)  6 
B)  $6 \sqrt { 5 }$ 
C)  $108 \sqrt { 3 }$ 
D)  6

Question 11

Find the slope of the line containing the two points.
-(-2, -8); (-5, -8)

Accepted Answer

A)  0 
B)  -3 
C)  $$\frac { 1 } { 3 }$$ 
D)  undefined 
A)  0 
B)  -3 
C)  $$\frac { 1 } { 3 }$$ 
D)  undefined

Question 12

Graph the line containing the point P and having slope m.
-$\mathrm{P}=(-3,-3) ; \mathrm{m}=\frac{2}{3}$

A)

Accepted Answer

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

Question 13

Find the center (h, k) and radius r of the circle with the given equation.
-$$x ^ { 2 } + y ^ { 2 } + 18 x - 8 y + 97 = 16$$

Accepted Answer

A)  $( \mathrm { h } , \mathrm { k } ) = ( 9 , - 4 ) ; \mathrm { r } = 16$ 
B)  $( \mathrm { h } , \mathrm { k } ) = ( 4 , - 9 ) ; \mathrm { r } = 4$ 
C)  $( h , k ) = ( - 4,9 ) ; r = 16$ 
D)  $( \mathrm { h } , \mathrm { k } ) = ( - 9,4 ) ; \mathrm { r } = 4$ 
A)  $( \mathrm { h } , \mathrm { k } ) = ( 9 , - 4 ) ; \mathrm { r } = 16$ 
B)  $( \mathrm { h } , \mathrm { k } ) = ( 4 , - 9 ) ; \mathrm { r } = 4$ 
C)  $( h , k ) = ( - 4,9 ) ; r = 16$ 
D)  $( \mathrm { h } , \mathrm { k } ) = ( - 9,4 ) ; \mathrm { r } = 4$

Question 14

Find the midpoint of the line segment joining the points $$P _ { 1 } \text { and } P _ { 2 }$$
-$$\mathrm { P } _ { 1 } = ( 6,5 ) ; \mathrm { P } _ { 2 } = ( 8,1 )$$

Accepted Answer

A)  $( - 2,4 )$ 
B)  $( 3,7 )$ 
C)  $( 14,6 )$ 
D)  $( 7,3 )$ 
A)  $( - 2,4 )$ 
B)  $( 3,7 )$ 
C)  $( 14,6 )$ 
D)  $( 7,3 )$

Question 15

Find the distance d( $$\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) \text { between the points } \mathrm { P } _ { 1 } \text { and } \mathrm { P } _ { 2 }$$ .
-$$\mathrm { P } _ { 1 } = ( 4,3 ) ; \mathrm { P } _ { 2 } = ( - 2,11 )$$

Accepted Answer

A)  100 
B)  20 
C)  11 
D)  10 
A)  100 
B)  20 
C)  11 
D)  10

Question 16

Graph the line containing the point P and having slope m.
-$$\mathrm { P } = ( - 7,6 ) ; \text { slope undefined }$$

A)

Accepted Answer

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

Question 17

Solve the problem.
-If a graph is symmetric with respect to the y-axis and it contains the point (5, -6), which of the following points is also on the graph?

Accepted Answer

A)  (-5, -6) 
B)  (-6, 5) 
C)  (5, -6) 
D)  (-5, 6) 
A)  (-5, -6) 
B)  (-6, 5) 
C)  (5, -6) 
D)  (-5, 6)

Question 18

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

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 19

Find the slope of the line and sketch its graph.
-$3 x+5 y=19$

A) slope $= - \frac { 5 } { 3 }$

Accepted Answer

B)  slope $= - \frac { 3 } { 5 }$
  
C)  slope $= \frac { 3 } { 5 }$
  
D)  slope $= \frac { 5 } { 3 }$
  
B)  slope $= - \frac { 3 } { 5 }$
  
C)  slope $= \frac { 3 } { 5 }$
  
D)  slope $= \frac { 5 } { 3 }$

Question 20

Find an equation for the line with the given properties.
-Vertical line; containing the point (-1, 1)

Accepted Answer

A)  y = -1 
B)  x = -1 
C)  x = 1 
D)  y = 1 
A)  y = -1 
B)  x = -1 
C)  x = 1 
D)  y = 1

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

Plot the point. - $( 0 , - 3 )$ A) B) C) D)

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

Tell in which quadrant or on what coordinate axis the point lies. -(6, 17)

Plot the point A. Plot the point B that has the given symmetry with point A. -A = (2, -5); B is symmetric to A with respect to the x-axis A) B) C) D)

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

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

Find the slope of the line containing the two points. -(-2, -8); (-5, -8)

Find the center (h, k) and radius r of the circle with the given equation. - $x ^ { 2 } + y ^ { 2 } + 18 x - 8 y + 97 = 16$

Find the midpoint of the line segment joining the points $P _ { 1 } \text { and } P _ { 2 }$ - $\mathrm { P } _ { 1 } = ( 6,5 ) ; \mathrm { P } _ { 2 } = ( 8,1 )$

Find the distance d( $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) \text { between the points } \mathrm { P } _ { 1 } \text { and } \mathrm { P } _ { 2 }$ . - $\mathrm { P } _ { 1 } = ( 4,3 ) ; \mathrm { P } _ { 2 } = ( - 2,11 )$

Solve the problem. -If a graph is symmetric with respect to the y-axis and it contains the point (5, -6), which of the following points is also on the graph?

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

Find an equation for the line with the given properties. -Vertical line; containing the point (-1, 1)

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

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Exam 14: Review

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

Plot the point. - (0,−3)( 0 , - 3 )(0,−3) A) B) C) D)

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

Tell in which quadrant or on what coordinate axis the point lies. -(6, 17)

Plot the point A. Plot the point B that has the given symmetry with point A. -A = (2, -5); B is symmetric to A with respect to the x-axis A) B) C) D)

Graph the equation by plotting points. - x2+4y=4x^{2}+4 y=4x2+4y=4 A) B) C) D)

Graph the equation. - x2+(y−2)2=4x^{2}+(y-2)^{2}=4x2+(y−2)2=4 A) B) C) D)

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

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

Find the slope of the line containing the two points. -(-2, -8); (-5, -8)

Graph the line containing the point P and having slope m. - P=(−3,−3);m=23\mathrm{P}=(-3,-3) ; \mathrm{m}=\frac{2}{3}P=(−3,−3);m=32​ A) B) C) D)

Find the center (h, k) and radius r of the circle with the given equation. - x2+y2+18x−8y+97=16x ^ { 2 } + y ^ { 2 } + 18 x - 8 y + 97 = 16x2+y2+18x−8y+97=16

Find the midpoint of the line segment joining the points P1 and P2P _ { 1 } \text { and } P _ { 2 }P1​ and P2​ - P1=(6,5);P2=(8,1)\mathrm { P } _ { 1 } = ( 6,5 ) ; \mathrm { P } _ { 2 } = ( 8,1 )P1​=(6,5);P2​=(8,1)

Graph the line containing the point P and having slope m. - P=(−7,6); slope undefined \mathrm { P } = ( - 7,6 ) ; \text { slope undefined }P=(−7,6); slope undefined A) B) C) D)

Solve the problem. -If a graph is symmetric with respect to the y-axis and it contains the point (5, -6), which of the following points is also on the graph?

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - y=−9xx4−3x+5y = - 9 x x ^ { 4 } - 3 x + 5y=−9xx4−3x+5

Find the slope of the line and sketch its graph. - 3x+5y=193 x+5 y=193x+5y=19 A) slope =−53= - \frac { 5 } { 3 }=−35​ B) slope =−35= - \frac { 3 } { 5 }=−53​ C) slope =35= \frac { 3 } { 5 }=53​ D) slope =53= \frac { 5 } { 3 }=35​

Find an equation for the line with the given properties. -Vertical line; containing the point (-1, 1)

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. - $y = 5 x$

Plot the point. - $( 0 , - 3 )$ A) B) C) D)

Find the center (h, k) and radius r of the circle with the given equation. - $x ^ { 2 } + y ^ { 2 } + 18 x - 8 y + 97 = 16$

Find the midpoint of the line segment joining the points $P _ { 1 } \text { and } P _ { 2 }$ - $\mathrm { P } _ { 1 } = ( 6,5 ) ; \mathrm { P } _ { 2 } = ( 8,1 )$

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