Question 1

Find the distance d(P1, P2) between the points P1 and P2.
-$$\mathrm { P } _ { 1 } = ( 4,3 ) ; \mathrm { P } _ { 2 } = ( - 2,11 )$$

Accepted Answer

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

Question 2

Solve the problem.
-A middle school's baseball playing field is a square, 55 feet on a side. How far is it directly from home plate to second base (the diagonal of the square)? If necessary, round to the nearest foot.

Accepted Answer

A)  85 feet 
B)  79 feet 
C)  78 feet 
D)  77 feet 
A)  85 feet 
B)  79 feet 
C)  78 feet 
D)  77 feet

Question 3

Find the slope of the line containing the two points.
-$$( - 3 , - 3 ) ; ( 5 , - 1 )$$

Accepted Answer

A)  4 
B)  $- 4$ 
C)  $\frac { 1 } { 4 }$ 
D)  $- \frac { 1 } { 4 }$ 
A)  4 
B)  $- 4$ 
C)  $\frac { 1 } { 4 }$ 
D)  $- \frac { 1 } { 4 }$

Question 4

Find an equation for the line with the given properties.
-Parallel to the line $- 2 \mathrm { x } - \mathrm { y } = 4$; containing the point $( 0,0 )$

Accepted Answer

A)  $y = \frac { 1 } { 2 } x$ 
B)  $y = - \frac { 1 } { 2 } x$ 
C)  $y = \frac { 1 } { 2 } x + 4$ 
D)  $y = - 2 x$ 
A)  $y = \frac { 1 } { 2 } x$ 
B)  $y = - \frac { 1 } { 2 } x$ 
C)  $y = \frac { 1 } { 2 } x + 4$ 
D)  $y = - 2 x$

Question 5

Find the slope of the line containing the two points.
-$( 6 , - 6 ) ; ( - 8,3 )$

Accepted Answer

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

Question 6

List the intercepts for the graph of the equation.
-$$y = \sqrt [ 3 ] { x }$$

Accepted Answer

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

Question 7

Find an equation for the line with the given properties.
-Slope undefined; containing the point $\left( - \frac { 3 } { 5 } , 7 \right)$

Accepted Answer

A)  $y = 7$ 
B)  $x = 7$ 
C) $x = - \frac { 3 } { 5 }$ 
D)  $y = - \frac { 3 } { 5 }$ 
A)  $y = 7$ 
B)  $x = 7$ 
C) $x = - \frac { 3 } { 5 }$ 
D)  $y = - \frac { 3 } { 5 }$

Question 8

Decide whether or not the points are the vertices of a right triangle.
-(1, -3), (7, -1), (13, -8)

Accepted Answer

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

Question 9

Find the slope and y-intercept of the line.
-$$y = - \frac { 5 } { 6 } x - \frac { 1 } { 2 }$$

Accepted Answer

A)  slope $= - \frac { 6 } { 5 } ; \mathrm { y }$-intercept $= \frac { 1 } { 2 }$ 
B)  slope $= \frac { 5 } { 6 } ; y$-intercept $= \frac { 1 } { 2 }$ 
C)  slope $= - \frac { 1 } { 2 } ; y$-intercept $= - \frac { 5 } { 6 }$ 
D)  slope $= - \frac { 5 } { 6 } ; \mathrm { y }$-intercept $= - \frac { 1 } { 2 }$ 
A)  slope $= - \frac { 6 } { 5 } ; \mathrm { y }$-intercept $= \frac { 1 } { 2 }$ 
B)  slope $= \frac { 5 } { 6 } ; y$-intercept $= \frac { 1 } { 2 }$ 
C)  slope $= - \frac { 1 } { 2 } ; y$-intercept $= - \frac { 5 } { 6 }$ 
D)  slope $= - \frac { 5 } { 6 } ; \mathrm { y }$-intercept $= - \frac { 1 } { 2 }$

Question 10

List the intercepts for the graph of the equation.
-$$y = \frac { 7 x } { x ^ { 2 } + 49 }$$

Accepted Answer

A)  $( 0 , - 7 ) , ( 0,0 ) , ( 0,7 )$ 
B)  $( - 7,0 ) , ( 0,0 ) , ( 7,0 )$ 
C)  $( - 49,0 ) , ( 0,0 ) , ( 49,0 )$ 
D)  $( 0,0 )$ 
A)  $( 0 , - 7 ) , ( 0,0 ) , ( 0,7 )$ 
B)  $( - 7,0 ) , ( 0,0 ) , ( 7,0 )$ 
C)  $( - 49,0 ) , ( 0,0 ) , ( 49,0 )$ 
D)  $( 0,0 )$

Question 11

Find an equation for the line with the given properties.
-Parallel to the line 3x - 5y = 6; x-intercept = 3

Accepted Answer

A)  3x - 5y = -15 
B)  3x - 5y = 9 
C)  -5x - 3y = -9 
D)  -5x - 3y = -15 
A)  3x - 5y = -15 
B)  3x - 5y = 9 
C)  -5x - 3y = -9 
D)  -5x - 3y = -15

Question 12

Solve the problem.
-Find the equation of a circle in standard form that is tangent to the line $x = - 3$ at $( - 3,5 )$ and also tangent to the line $x = 9$.

Accepted Answer

A)  $( x - 3 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 36$ 
B)  $( x + 3 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 36$ 
C)  $( x + 3 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 36$ 
D)  $( x - 3 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 36$ 
A)  $( x - 3 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 36$ 
B)  $( x + 3 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 36$ 
C)  $( x + 3 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 36$ 
D)  $( x - 3 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 36$

Question 13

List the intercepts of the graph.
-

Accepted Answer

A)  (0, 2) 
B)  (0, -2) 
C)  (-2, 0) 
D)  (2, 0) 
A)  (0, 2) 
B)  (0, -2) 
C)  (-2, 0) 
D)  (2, 0)

Question 14

List the intercepts for the graph of the equation.
-$$y = x ^ { 2 } + 7 x + 10$$

Accepted Answer

A)  $( - 2,0 ) , ( - 5,0 ) , ( 0,10 )$ 
B)  $( 0,2 ) , ( 0,5 ) , ( 10,0 )$ 
C)  $( 0 , - 2 ) , ( 0 , - 5 ) , ( 10,0 )$ 
D)  $( 2,0 ) , ( 5,0 ) , ( 0,10 )$ 
A)  $( - 2,0 ) , ( - 5,0 ) , ( 0,10 )$ 
B)  $( 0,2 ) , ( 0,5 ) , ( 10,0 )$ 
C)  $( 0 , - 2 ) , ( 0 , - 5 ) , ( 10,0 )$ 
D)  $( 2,0 ) , ( 5,0 ) , ( 0,10 )$

Question 15

Graph the equation.
-$(x-5)^{2}+(y+5)^{2}=4$

Accepted Answer

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

Question 16

Find an equation for the line with the given properties.
-Perpendicular to the line $- 5 x - y = 8$; containing the point $\left( 0 , - \frac { 8 } { 5 } \right)$

Accepted Answer

A)  $y = \frac { 1 } { 5 } x - \frac { 8 } { 5 }$ 
B)  $y = - \frac { 7 } { 5 }$ 
C) $y = \frac { 1 } { 5 } x + 8$ 
D)  $y = - \frac { 1 } { 5 } x - \frac { 8 } { 5 }$ 
A)  $y = \frac { 1 } { 5 } x - \frac { 8 } { 5 }$ 
B)  $y = - \frac { 7 } { 5 }$ 
C) $y = \frac { 1 } { 5 } x + 8$ 
D)  $y = - \frac { 1 } { 5 } x - \frac { 8 } { 5 }$

Question 17

Solve the problem.
-Earth is represented on a map of the solar system so that its surface is a circle with the equation x2 + y2 + 8x + 4y - 3,824 = 0. A weather satellite circles 0.4 units above the Earth with the center of its circular
Orbit at the center of the Earth. Find the general form of the equation for the orbit of the satellite on this map.

Accepted Answer

A)  $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 41.84 = 0$ 
B)  $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 3,873.76 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } - 8 x - 4 y - 3,873.76 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y + 19.84 = 0$ 
A)  $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 41.84 = 0$ 
B)  $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 3,873.76 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } - 8 x - 4 y - 3,873.76 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y + 19.84 = 0$

Question 18

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: $( - 1,0 ) , ( 0,0 ) , ( 1,0 )$
symmetric with respect to $x$-axis 
B)  intercepts: $( - 1,0 ) , ( 0,0 ) , ( 1,0 )$
symmetric with respect to $\mathrm { y }$-axis 
C)  intercepts: $( - 1,0 ) , ( 0,0 ) , ( 1,0 )$
symmetric with respect to origin 
D)  intercepts: $( - 1,0 ) , ( 0,0 ) , ( 1,0 )$
symmetric with respect to $x$-axis, $y$-axis, and origin 
A)  intercepts: $( - 1,0 ) , ( 0,0 ) , ( 1,0 )$
symmetric with respect to $x$-axis 
B)  intercepts: $( - 1,0 ) , ( 0,0 ) , ( 1,0 )$
symmetric with respect to $\mathrm { y }$-axis 
C)  intercepts: $( - 1,0 ) , ( 0,0 ) , ( 1,0 )$
symmetric with respect to origin 
D)  intercepts: $( - 1,0 ) , ( 0,0 ) , ( 1,0 )$
symmetric with respect to $x$-axis, $y$-axis, and origin

Question 19

Graph the line containing the point P and having slope m.
-$\mathrm{P}=(0,5) ; \mathrm{m}=-\frac{4}{5}$

Accepted Answer

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

Question 20

Graph the circle with radius r and center (h, k).
-$\mathrm{r}=3 ;(\mathrm{h}, \mathrm{k})=(5,0)$

Accepted Answer

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

Find the distance d(P1, P2) between the points P1 and P2. - $\mathrm { P } _ { 1 } = ( 4,3 ) ; \mathrm { P } _ { 2 } = ( - 2,11 )$

Solve the problem. -A middle school's baseball playing field is a square, 55 feet on a side. How far is it directly from home plate to second base (the diagonal of the square)? If necessary, round to the nearest foot.

Find the slope of the line containing the two points. - $( - 3 , - 3 ) ; ( 5 , - 1 )$

Find an equation for the line with the given properties. -Parallel to the line $- 2 \mathrm { x } - \mathrm { y } = 4$ ; containing the point $( 0,0 )$

Find the slope of the line containing the two points. - $( 6 , - 6 ) ; ( - 8,3 )$

List the intercepts for the graph of the equation. - $y = \sqrt [ 3 ] { x }$

Find an equation for the line with the given properties. -Slope undefined; containing the point $\left( - \frac { 3 } { 5 } , 7 \right)$

Decide whether or not the points are the vertices of a right triangle. -(1, -3), (7, -1), (13, -8)

Find the slope and y-intercept of the line. - $y = - \frac { 5 } { 6 } x - \frac { 1 } { 2 }$

List the intercepts for the graph of the equation. - $y = \frac { 7 x } { x ^ { 2 } + 49 }$

Find an equation for the line with the given properties. -Parallel to the line 3x - 5y = 6; x-intercept = 3

Solve the problem. -Find the equation of a circle in standard form that is tangent to the line $x = - 3$ at $( - 3,5 )$ and also tangent to the line $x = 9$ .

List the intercepts of the graph. -

List the intercepts for the graph of the equation. - $y = x ^ { 2 } + 7 x + 10$

Graph the equation. - $(x-5)^{2}+(y+5)^{2}=4$ $Graph the equation. - (x-5)^{2}+(y+5)^{2}=4$

Find an equation for the line with the given properties. -Perpendicular to the line $- 5 x - y = 8$ ; containing the point $\left( 0 , - \frac { 8 } { 5 } \right)$

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 line containing the point P and having slope m. - $\mathrm{P}=(0,5) ; \mathrm{m}=-\frac{4}{5}$ $Graph the line containing the point P and having slope m. - \mathrm{P}=(0,5) ; \mathrm{m}=-\frac{4}{5}$

Graph the circle with radius r and center (h, k). - $\mathrm{r}=3 ;(\mathrm{h}, \mathrm{k})=(5,0)$ $Graph the circle with radius r and center (h, k). - \mathrm{r}=3 ;(\mathrm{h}, \mathrm{k})=(5,0)$

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

Find the distance d(P1, P2) between the points P1 and P2. - P1=(4,3);P2=(−2,11)\mathrm { P } _ { 1 } = ( 4,3 ) ; \mathrm { P } _ { 2 } = ( - 2,11 )P1​=(4,3);P2​=(−2,11)

Solve the problem. -A middle school's baseball playing field is a square, 55 feet on a side. How far is it directly from home plate to second base (the diagonal of the square)? If necessary, round to the nearest foot.

Find the slope of the line containing the two points. - (−3,−3);(5,−1)( - 3 , - 3 ) ; ( 5 , - 1 )(−3,−3);(5,−1)

Find an equation for the line with the given properties. -Parallel to the line −2x−y=4- 2 \mathrm { x } - \mathrm { y } = 4−2x−y=4 ; containing the point (0,0)( 0,0 )(0,0)

Find the slope of the line containing the two points. - (6,−6);(−8,3)( 6 , - 6 ) ; ( - 8,3 )(6,−6);(−8,3)

List the intercepts for the graph of the equation. - y=x3y = \sqrt [ 3 ] { x }y=3x​

Find an equation for the line with the given properties. -Slope undefined; containing the point (−35,7)\left( - \frac { 3 } { 5 } , 7 \right)(−53​,7)

Decide whether or not the points are the vertices of a right triangle. -(1, -3), (7, -1), (13, -8)

Find the slope and y-intercept of the line. - y=−56x−12y = - \frac { 5 } { 6 } x - \frac { 1 } { 2 }y=−65​x−21​

List the intercepts for the graph of the equation. - y=7xx2+49y = \frac { 7 x } { x ^ { 2 } + 49 }y=x2+497x​

Find an equation for the line with the given properties. -Parallel to the line 3x - 5y = 6; x-intercept = 3

Solve the problem. -Find the equation of a circle in standard form that is tangent to the line x=−3x = - 3x=−3 at (−3,5)( - 3,5 )(−3,5) and also tangent to the line x=9x = 9x=9 .

List the intercepts of the graph. -

List the intercepts for the graph of the equation. - y=x2+7x+10y = x ^ { 2 } + 7 x + 10y=x2+7x+10

Graph the equation. - (x−5)2+(y+5)2=4(x-5)^{2}+(y+5)^{2}=4(x−5)2+(y+5)2=4

Find an equation for the line with the given properties. -Perpendicular to the line −5x−y=8- 5 x - y = 8−5x−y=8 ; containing the point (0,−85)\left( 0 , - \frac { 8 } { 5 } \right)(0,−58​)

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 line containing the point P and having slope m. - P=(0,5);m=−45\mathrm{P}=(0,5) ; \mathrm{m}=-\frac{4}{5}P=(0,5);m=−54​

Graph the circle with radius r and center (h, k). - r=3;(h,k)=(5,0)\mathrm{r}=3 ;(\mathrm{h}, \mathrm{k})=(5,0)r=3;(h,k)=(5,0)

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

Find the distance d(P1, P2) between the points P1 and P2. - $\mathrm { P } _ { 1 } = ( 4,3 ) ; \mathrm { P } _ { 2 } = ( - 2,11 )$

Find the slope of the line containing the two points. - $( - 3 , - 3 ) ; ( 5 , - 1 )$

Find an equation for the line with the given properties. -Parallel to the line $- 2 \mathrm { x } - \mathrm { y } = 4$ ; containing the point $( 0,0 )$

Find the slope of the line containing the two points. - $( 6 , - 6 ) ; ( - 8,3 )$

List the intercepts for the graph of the equation. - $y = \sqrt [ 3 ] { x }$

Find an equation for the line with the given properties. -Slope undefined; containing the point $\left( - \frac { 3 } { 5 } , 7 \right)$

Find the slope and y-intercept of the line. - $y = - \frac { 5 } { 6 } x - \frac { 1 } { 2 }$

List the intercepts for the graph of the equation. - $y = \frac { 7 x } { x ^ { 2 } + 49 }$

Solve the problem. -Find the equation of a circle in standard form that is tangent to the line $x = - 3$ at $( - 3,5 )$ and also tangent to the line $x = 9$ .

List the intercepts for the graph of the equation. - $y = x ^ { 2 } + 7 x + 10$

Graph the equation. - $(x-5)^{2}+(y+5)^{2}=4$ $Graph the equation. - (x-5)^{2}+(y+5)^{2}=4$

Find an equation for the line with the given properties. -Perpendicular to the line $- 5 x - y = 8$ ; containing the point $\left( 0 , - \frac { 8 } { 5 } \right)$

Graph the line containing the point P and having slope m. - $\mathrm{P}=(0,5) ; \mathrm{m}=-\frac{4}{5}$ $Graph the line containing the point P and having slope m. - \mathrm{P}=(0,5) ; \mathrm{m}=-\frac{4}{5}$

Graph the circle with radius r and center (h, k). - $\mathrm{r}=3 ;(\mathrm{h}, \mathrm{k})=(5,0)$ $Graph the circle with radius r and center (h, k). - \mathrm{r}=3 ;(\mathrm{h}, \mathrm{k})=(5,0)$