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

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 3

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 4

Write the standard form of the equation of the circle with radius r and center (h, k).
-$$\mathrm { r } = 11 ; ( \mathrm { h } , \mathrm { k } ) = ( - 1,0 )$$

Accepted Answer

A)  $( x - 1 ) ^ { 2 } + y ^ { 2 } = 121$ 
B)  $x ^ { 2 } + ( y + 1 ) ^ { 2 } = 11$ 
C)  $( x + 1 ) ^ { 2 } + y ^ { 2 } = 121$ 
D)  $x ^ { 2 } + ( y - 1 ) ^ { 2 } = 11$ 
A)  $( x - 1 ) ^ { 2 } + y ^ { 2 } = 121$ 
B)  $x ^ { 2 } + ( y + 1 ) ^ { 2 } = 11$ 
C)  $( x + 1 ) ^ { 2 } + y ^ { 2 } = 121$ 
D)  $x ^ { 2 } + ( y - 1 ) ^ { 2 } = 11$

Question 5

Find the center (h, k) and radius r of the circle. Graph the circle.
-$x^{2}+y^{2}+8 x+6 y+16=0$

A) $( \mathrm { h } , \mathrm { k } ) = ( 4 , - 3 ) ; \mathrm { r } = 3$

Accepted Answer

B)  $( \mathrm { h } , \mathrm { k } ) = ( 4,3 ) ; \mathrm { r } = 3$

C)  $( \mathrm { h } , \mathrm { k } ) = ( - 4,3 ) ; \mathrm { r } = 3$
  
D)  $( \mathrm { h } , \mathrm { k } ) = ( - 4 , - 3 ) ; \mathrm { r } = 3$
  
B)  $( \mathrm { h } , \mathrm { k } ) = ( 4,3 ) ; \mathrm { r } = 3$

C)  $( \mathrm { h } , \mathrm { k } ) = ( - 4,3 ) ; \mathrm { r } = 3$
  
D)  $( \mathrm { h } , \mathrm { k } ) = ( - 4 , - 3 ) ; \mathrm { r } = 3$

Question 6

Solve the problem.
-A motorcycle and a car leave an intersection at the same time. The motorcycle heads north at an average speed of 20 miles per hour, while the car heads east at an average speed of 48 miles per hour. Find an expression for
Their distance apart in miles at the end of t hours. A) $\sqrt { 68 }$ miles

Accepted Answer

B)  $2 \mathrm { t } \sqrt { 13 }$ miles 
C)  $52 \mathrm { t }$ miles 
D)  $52 \sqrt { t }$ miles 
B)  $2 \mathrm { t } \sqrt { 13 }$ miles 
C)  $52 \mathrm { t }$ miles 
D)  $52 \sqrt { t }$ miles

Question 7

Write the equation in slope-intercept form.
-$$x = 5 y + 8$$

Accepted Answer

A)  $y = 5 x - 8$ 
B)  $y = \frac { 1 } { 5 } x - 8$ 
C)  $y = x - \frac { 8 } { 5 }$ 
D)  $y = \frac { 1 } { 5 } x - \frac { 8 } { 5 }$ 
A)  $y = 5 x - 8$ 
B)  $y = \frac { 1 } { 5 } x - 8$ 
C)  $y = x - \frac { 8 } { 5 }$ 
D)  $y = \frac { 1 } { 5 } x - \frac { 8 } { 5 }$

Question 8

Draw a complete graph so that it has the given type of symmetry.
-$$\text { origin }$$

A)

Accepted Answer

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

Question 9

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

Accepted Answer

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

Question 10

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

A)

Accepted Answer

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

Question 11

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$y = x ^ { 2 } + 11 x + 18$$

Accepted Answer

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

Question 12

Find the slope of the line containing the two points.
-(6, -6); (-8, 3) A) $- \frac { 9 } { 14 }$

Accepted Answer

B)  $\frac { 9 } { 14 }$ 
C)  $- \frac { 14 } { 9 }$ 
D)  $\frac { 14 } { 9 }$ 
B)  $\frac { 9 } { 14 }$ 
C)  $- \frac { 14 } { 9 }$ 
D)  $\frac { 14 } { 9 }$

Question 13

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$y = \frac { x ^ { 2 } - 49 } { 7 x ^ { 4 } }$$

Accepted Answer

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

Question 14

Find the midpoint of the line segment joining the points $$P _ { 1 } \text { and } P _ { 2 }$$
-$$\mathrm { P } _ { 1 } = ( \mathrm { a } , 2 ) ; \mathrm { P } _ { 2 } = ( 0,3 )$$

Accepted Answer

A)  $\left( a , \frac { 5 } { 2 } \right)$ 
B)  $\left( - \frac { a } { 2 } , 1 \right)$ 
C)  $\left( \frac { \mathrm { a } } { 2 } , \frac { 5 } { 2 } \right)$ 
D)  $( a , 5 )$ 
A)  $\left( a , \frac { 5 } { 2 } \right)$ 
B)  $\left( - \frac { a } { 2 } , 1 \right)$ 
C)  $\left( \frac { \mathrm { a } } { 2 } , \frac { 5 } { 2 } \right)$ 
D)  $( a , 5 )$

Question 15

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

Accepted Answer

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

Question 16

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-y = x - 6

Accepted Answer

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

Question 17

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 18

Find the distance d( $$\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) \text { between the points } \mathrm { P } _ { 1 } \text { and } \mathrm { P } _ { 2 }$$ .
-$$\mathrm { P } _ { 1 } = ( 6,1 ) ; \mathrm { P } _ { 2 } = ( - 2 , - 2 )$$

Accepted Answer

A)  5
В) $\sqrt { 55 }$ 
C)  24 
D)  $\sqrt { 73 }$ 
A)  5
В) $\sqrt { 55 }$ 
C)  24 
D)  $\sqrt { 73 }$

Question 19

Find the slope-intercept form of the equation of the line with the given properties.
-Horizontal; containing the point (-4, -1)

Accepted Answer

A)  x = -1 
B)  x = -4 
C)  y = -1 
D)  y = -4 
A)  x = -1 
B)  x = -4 
C)  y = -1 
D)  y = -4

Question 20

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

A)

Accepted Answer

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

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

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

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

Write the standard form of the equation of the circle with radius r and center (h, k). - $\mathrm { r } = 11 ; ( \mathrm { h } , \mathrm { k } ) = ( - 1,0 )$

Write the equation in slope-intercept form. - $x = 5 y + 8$

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

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $y = x ^ { 2 } + 11 x + 18$

Find the slope of the line containing the two points. -(6, -6); (-8, 3) A) $- \frac { 9 } { 14 }$ B) $\frac { 9 } { 14 }$ C) $- \frac { 14 } { 9 }$ D) $\frac { 14 } { 9 }$

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $y = \frac { x ^ { 2 } - 49 } { 7 x ^ { 4 } }$

Find the midpoint of the line segment joining the points $P _ { 1 } \text { and } P _ { 2 }$ - $\mathrm { P } _ { 1 } = ( \mathrm { a } , 2 ) ; \mathrm { P } _ { 2 } = ( 0,3 )$

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

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. -y = x - 6

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

Find the distance d( $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) \text { between the points } \mathrm { P } _ { 1 } \text { and } \mathrm { P } _ { 2 }$ . - $\mathrm { P } _ { 1 } = ( 6,1 ) ; \mathrm { P } _ { 2 } = ( - 2 , - 2 )$

Find the slope-intercept form of the equation of the line with the given properties. -Horizontal; containing the point (-4, -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

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

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

List the intercepts for the graph of the equation. - y=x2+25y = x ^ { 2 } + 25y=x2+25

Write the standard form of the equation of the circle with radius r and center (h, k). - r=11;(h,k)=(−1,0)\mathrm { r } = 11 ; ( \mathrm { h } , \mathrm { k } ) = ( - 1,0 )r=11;(h,k)=(−1,0)

Write the equation in slope-intercept form. - x=5y+8x = 5 y + 8x=5y+8

Draw a complete graph so that it has the given type of symmetry. - origin \text { origin } origin A) B) C) D)

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

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

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - y=x2+11x+18y = x ^ { 2 } + 11 x + 18y=x2+11x+18

Find the slope of the line containing the two points. -(6, -6); (-8, 3) A) −914- \frac { 9 } { 14 }−149​ B) 914\frac { 9 } { 14 }149​ C) −149- \frac { 14 } { 9 }−914​ D) 149\frac { 14 } { 9 }914​

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - y=x2−497x4y = \frac { x ^ { 2 } - 49 } { 7 x ^ { 4 } }y=7x4x2−49​

Find the midpoint of the line segment joining the points P1 and P2P _ { 1 } \text { and } P _ { 2 }P1​ and P2​ - P1=(a,2);P2=(0,3)\mathrm { P } _ { 1 } = ( \mathrm { a } , 2 ) ; \mathrm { P } _ { 2 } = ( 0,3 )P1​=(a,2);P2​=(0,3)

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - y=4xx2+16y = \frac { 4 x } { x ^ { 2 } + 16 }y=x2+164x​

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. -y = x - 6

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

Find the slope-intercept form of the equation of the line with the given properties. -Horizontal; containing the point (-4, -1)

Graph the line containing the point P and having slope m. - P=(5,−2);m=18\mathrm{P}=(5,-2) ; \mathrm{m}=\frac{1}{8}P=(5,−2);m=81​ 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

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

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

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

Write the standard form of the equation of the circle with radius r and center (h, k). - $\mathrm { r } = 11 ; ( \mathrm { h } , \mathrm { k } ) = ( - 1,0 )$

Write the equation in slope-intercept form. - $x = 5 y + 8$

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $y = x ^ { 2 } + 11 x + 18$

Find the slope of the line containing the two points. -(6, -6); (-8, 3) A) $- \frac { 9 } { 14 }$ B) $\frac { 9 } { 14 }$ C) $- \frac { 14 } { 9 }$ D) $\frac { 14 } { 9 }$

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $y = \frac { x ^ { 2 } - 49 } { 7 x ^ { 4 } }$

Find the midpoint of the line segment joining the points $P _ { 1 } \text { and } P _ { 2 }$ - $\mathrm { P } _ { 1 } = ( \mathrm { a } , 2 ) ; \mathrm { P } _ { 2 } = ( 0,3 )$

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