Question 1

Determine the quadrant(s)in which (x,y)is located so that the condition(s)is (are)satisfied. ​
X < -8 and y < -6
​

Accepted Answer

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

Question 2

Show that the points form the vertices of the indicated polygon. ?
Isosceles triangle: (7,-6), (9,8), (-5,6)
?

Accepted Answer

A) Distances between the points: $$\sqrt { 37 } , \sqrt { 200 } , \sqrt { 288 }$$ 
B) Distances between the points: $\sqrt { 200 } , \sqrt { 200 } , \sqrt { 288 }$ 
C) Distances between the points: $\sqrt { 26 } , \sqrt { 200 } , \sqrt { 288 }$ 
D) Distances between the points: $$\sqrt { 43 } , \sqrt { 200 } , \sqrt { 288 }$$ 
E) Distances between the points: $\sqrt { 19 } , \sqrt { 200 } , \sqrt { 288 }$ 
A) Distances between the points: $$\sqrt { 37 } , \sqrt { 200 } , \sqrt { 288 }$$ 
B) Distances between the points: $\sqrt { 200 } , \sqrt { 200 } , \sqrt { 288 }$ 
C) Distances between the points: $\sqrt { 26 } , \sqrt { 200 } , \sqrt { 288 }$ 
D) Distances between the points: $$\sqrt { 43 } , \sqrt { 200 } , \sqrt { 288 }$$ 
E) Distances between the points: $\sqrt { 19 } , \sqrt { 200 } , \sqrt { 288 }$ B

Question 3

Plot the points in the Cartesian plane. ?? $$\left( 4 , - \frac { 1 } { 6 } \right) , \left( \frac { 5 } { 2 } , 5 \right) , ( - 3,3 ) , \left( \frac { 2 } { 5 } , - \frac { 2 } { 5 } \right)$$ ?

Accepted Answer

A) ?   
B)    ? 
C)    
D)    ? 
E)    
A) ?   
B)    ? 
C)    
D)    ? 
E)    C

Question 4

Plot the point (-3,1)on the Cartesian plane. ​

Accepted Answer

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

Question 5

Find the coordinates for the point that is four units to the left of the y-axis and is six units up from the x-axis.

Accepted Answer

A) (-4,-6) 
B) (4,-6) 
C) (-4,6) 
D) (6,6) 
E) (4,6) 
A) (-4,-6) 
B) (4,-6) 
C) (-4,6) 
D) (6,6) 
E) (4,6)

Question 6

Find the center and radius of the circle with equation $( x + 7 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 25$ . ?

Accepted Answer

A) Center: (7,2) Radius: 5 
B) Center: (-7,2) Radius: 25 
C) Center: (7,-2) Radius: 25 
D) Center: (7,-2) Radius: 5 
E) Center: (-7,2) Radius: 5 
A) Center: (7,2) Radius: 5 
B) Center: (-7,2) Radius: 25 
C) Center: (7,-2) Radius: 25 
D) Center: (7,-2) Radius: 5 
E) Center: (-7,2) Radius: 5

Question 7

Show that the points form the vertices of the indicated polygon. ?
Right triangle: (3,5), (5,6), (6,4)
?

Accepted Answer

A)  $( \sqrt { 5 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }$ 
B)  $$( \sqrt { 31 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }$$ 
C)  $$( \sqrt { 7 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }$$ 
D)  $( \sqrt { 11 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }$ 
E)  $( \sqrt { 34 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }$ 
A)  $( \sqrt { 5 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }$ 
B)  $$( \sqrt { 31 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }$$ 
C)  $$( \sqrt { 7 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }$$ 
D)  $( \sqrt { 11 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }$ 
E)  $( \sqrt { 34 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }$

Question 8

Let M denote the midpoint of the line segment joining (2,3)and (7,6).Find the midpoint between M and (-6,-4). ​

Accepted Answer

A) (2,0.25) 
B) (-0.75,0.25) 
C) (-2,-0.5) 
D) (4.5,4.5) 
E) (0.5,1) 
A) (2,0.25) 
B) (-0.75,0.25) 
C) (-2,-0.5) 
D) (4.5,4.5) 
E) (0.5,1)

Question 9

Determine the quadrant(s)in which (x,y)is located so that the condition(s)is (are)satisfied. ​
Xy < -4
​

Accepted Answer

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

Question 10

A point is located five units below the x-axis and the coordinates of the point are equal.Find the coordinates of the point. ​

Accepted Answer

A) (-5,5) 
B) (-5,0) 
C) (5,-5) 
D) (-5,-5) 
E) (5,5) 
A) (-5,5) 
B) (-5,0) 
C) (5,-5) 
D) (-5,-5) 
E) (5,5)

Question 11

Which label corresponds to the coordinates (-3,-5)?

Accepted Answer

A) VI 
B) VIII 
C) V 
D) VII 
E) none 
A) VI 
B) VIII 
C) V 
D) VII 
E) none

Question 12

Determine the quadrant(s)in which (x,y)is located so that the condition(s)is (are)satisfied. ​
X > 3 and y = 1
​

Accepted Answer

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

Question 13

Write the standard form of the equation of the circle with center (5,-7)and radius 5. ?

Accepted Answer

A) ? $( x + 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 5$ 
B)  $( x - 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 5$ 
C)  $( x - 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 25$ 
D)  $( x + 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$ 
E)  $( x - 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$ 
A) ? $( x + 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 5$ 
B)  $( x - 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 5$ 
C)  $( x - 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 25$ 
D)  $( x + 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$ 
E)  $( x - 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$

Question 14

Write the standard form of the equation of the circle with center (3,-2)and solution point (-2,3). ?

Accepted Answer

A)  $( x + 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 50$ 
B)  $( x - 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = \sqrt { 50 }$ 
C)  $( x - 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 50$ 
D)  $( x + 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = \sqrt { 50 }$ 
E)  $( x - 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 50$ 
A)  $( x + 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 50$ 
B)  $( x - 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = \sqrt { 50 }$ 
C)  $( x - 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 50$ 
D)  $( x + 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = \sqrt { 50 }$ 
E)  $( x - 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 50$

Question 15

​Find the distance between the points.Round to the nearest hundredth,if necessary. ​
(-8,-8), (-1,9)
​

Accepted Answer

A) ​19.24 
B) ​7.07 
C) ​18.38 
D) ​10 
E) ​9.06 
A) ​19.24 
B) ​7.07 
C) ​18.38 
D) ​10 
E) ​9.06

Question 16

Find the midpoint of the line segment joining the points (3,6)and (9,-4). ​

Accepted Answer

A) (6,-10) 
B) (12,2) 
C) (6,1) 
D) (-3,5) 
E) (3,-5) 
A) (6,-10) 
B) (12,2) 
C) (6,1) 
D) (-3,5) 
E) (3,-5)

Question 17

Find the coordinates of the point that is located 8 units below the x-axis and 3 units to the left of the y-axis. ​
​

Accepted Answer

A) (-8,-3) 
B) (8,-3) 
C) (-3,8) 
D) (3,-8) 
E) (-3,-8) 
A) (-8,-3) 
B) (8,-3) 
C) (-3,8) 
D) (3,-8) 
E) (-3,-8)

Question 18

Use the Midpoint Formula to estimate the sales of Dollar Tree Stores,Inc.in 2005,given the sales in 2003 and 2007.Assume that the sales followed a linear pattern. Dollar tree
Year
Sales (in millions)
2003
2200
2007
4283

Accepted Answer

A) $3241.5 million 
B) $3251.5 million 
C) $3246.5 million 
D) $3256.5 million 
E) $3261.5 million 
A) $3241.5 million 
B) $3251.5 million 
C) $3246.5 million 
D) $3256.5 million 
E) $3261.5 million

Question 19

Determine the quadrant(s)in which (x,y)is located so that the conditions(s)is (are)satisfied. ​
- x > 6 and y < -2
​

Accepted Answer

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

Question 20

Sketch a scatter plot of the data shown in the table. The table shows the number y of Wal-Mart stores for each year x from 2000 through 2007.
$$\begin{array} { | l | l | } 
\hline \text { Year, } x & \text { Number of stores, } y \
\hline 2000 & 3700 \
\hline 2001 & 4400 \
\hline 2002 & 4680 \
\hline 2003 & 5010 \
\hline 2004 & 5550 \
\hline 2005 & 6360 \
\hline 2006 & 6680 \
\hline 2007 & 7340 \
\hline
\end{array}$$

Accepted Answer

A) ?   x: Year (0 ? 2000)
Y: Number of stores 
B) ?   x: Year (0 ? 2000)
Y: Number of stores 
C) ?   ?
X: Year (0 ? 2000)
Y: Number of stores 
D) ?   x: Year (0 ? 2000)
Y: Number of stores 
E) ?   x: Year (0 ? 2000)
Y: Number of stores 
A) ?   x: Year (0 ? 2000)
Y: Number of stores 
B) ?   x: Year (0 ? 2000)
Y: Number of stores 
C) ?   ?
X: Year (0 ? 2000)
Y: Number of stores 
D) ?   x: Year (0 ? 2000)
Y: Number of stores 
E) ?   x: Year (0 ? 2000)
Y: Number of stores

Exam 1: Rectangular Coordinates

Determine the quadrant(s)in which (x,y)is located so that the condition(s)is (are)satisfied. ​ X < -8 and y < -6 ​

Show that the points form the vertices of the indicated polygon. ? Isosceles triangle: (7,-6), (9,8), (-5,6) ?

Plot the points in the Cartesian plane. ?? (4,−16),(52,5),(−3,3),(25,−25)\left( 4 , - \frac { 1 } { 6 } \right) , \left( \frac { 5 } { 2 } , 5 \right) , ( - 3,3 ) , \left( \frac { 2 } { 5 } , - \frac { 2 } { 5 } \right)(4,−61​),(25​,5),(−3,3),(52​,−52​) ?

Plot the point (-3,1)on the Cartesian plane. ​

Find the coordinates for the point that is four units to the left of the y-axis and is six units up from the x-axis.

Find the center and radius of the circle with equation (x+7)2+(y−2)2=25( x + 7 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 25(x+7)2+(y−2)2=25 . ?

Show that the points form the vertices of the indicated polygon. ? Right triangle: (3,5), (5,6), (6,4) ?

Let M denote the midpoint of the line segment joining (2,3)and (7,6).Find the midpoint between M and (-6,-4). ​

Determine the quadrant(s)in which (x,y)is located so that the condition(s)is (are)satisfied. ​ Xy < -4 ​

A point is located five units below the x-axis and the coordinates of the point are equal.Find the coordinates of the point. ​

Which label corresponds to the coordinates (-3,-5)?

Determine the quadrant(s)in which (x,y)is located so that the condition(s)is (are)satisfied. ​ X > 3 and y = 1 ​

Write the standard form of the equation of the circle with center (5,-7)and radius 5. ?

Write the standard form of the equation of the circle with center (3,-2)and solution point (-2,3). ?

​Find the distance between the points.Round to the nearest hundredth,if necessary. ​ (-8,-8), (-1,9) ​

Find the midpoint of the line segment joining the points (3,6)and (9,-4). ​

Find the coordinates of the point that is located 8 units below the x-axis and 3 units to the left of the y-axis. ​ ​

Use the Midpoint Formula to estimate the sales of Dollar Tree Stores,Inc.in 2005,given the sales in 2003 and 2007.Assume that the sales followed a linear pattern. Dollar tree Year Sales (in millions) 2003 2200 2007 4283

Determine the quadrant(s)in which (x,y)is located so that the conditions(s)is (are)satisfied. ​ - x > 6 and y < -2 ​

Sketch a scatter plot of the data shown in the table. The table shows the number y of Wal-Mart stores for each year x from 2000 through 2007. Year, x Number of stores, y 2000 3700 2001 4400 2002 4680 2003 5010 2004 5550 2005 6360 2006 6680 2007 7340

Graphs of Equations

Linear Equations in Two Variables

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A Library of Parent Functions

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Nonlinear Inequalities

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Right Triangle Trigonometry

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Arithmetic Sequences and Partial Sums

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Mathematical Induction

The Binomial Theorem

Counting Principles

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Lines

Introduction to Conics Parabolas

Determine the quadrant(s)in which (x,y)is located so that the condition(s)is (are)satisfied. X < -8 and y < -6

Plot the points in the Cartesian plane. ?? $\left( 4 , - \frac { 1 } { 6 } \right) , \left( \frac { 5 } { 2 } , 5 \right) , ( - 3,3 ) , \left( \frac { 2 } { 5 } , - \frac { 2 } { 5 } \right)$ ?

Plot the point (-3,1)on the Cartesian plane.

Find the center and radius of the circle with equation $( x + 7 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 25$ . ?

Let M denote the midpoint of the line segment joining (2,3)and (7,6).Find the midpoint between M and (-6,-4).

Determine the quadrant(s)in which (x,y)is located so that the condition(s)is (are)satisfied. Xy < -4

A point is located five units below the x-axis and the coordinates of the point are equal.Find the coordinates of the point.

Determine the quadrant(s)in which (x,y)is located so that the condition(s)is (are)satisfied. X > 3 and y = 1

Find the distance between the points.Round to the nearest hundredth,if necessary. (-8,-8), (-1,9)

Find the midpoint of the line segment joining the points (3,6)and (9,-4).

Find the coordinates of the point that is located 8 units below the x-axis and 3 units to the left of the y-axis.

Determine the quadrant(s)in which (x,y)is located so that the conditions(s)is (are)satisfied. - x > 6 and y < -2