Deck 8: Graphs, Functions, and Systems of Equations and Inequalities
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Deck 8: Graphs, Functions, and Systems of Equations and Inequalities
1
What month in 2009 had the highest sales?
A)Month 2
B)Month 3
C)Month 5
D)Month 12
A)Month 2
B)Month 3
C)Month 5
D)Month 12
C
2

(-3, 4)
A)B
B)K
C)F
D)A
A
3
Which month in 2009 had the lowest sales?
A)Month 2
B)Month 8
C)Month 3
D)Month 6
A)Month 2
B)Month 8
C)Month 3
D)Month 6
C
4
What was the total increase in sales for the first 6 months from 2009 to 2010?
A)$652,000
B)$18,000
C)$12,000
D)$76,000
A)$652,000
B)$18,000
C)$12,000
D)$76,000
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5
Give the quadrant in which the point is located.
(8, 4)
A)Quadrant IV
B)Quadrant III
C)Quadrant II
D)Quadrant I
(8, 4)
A)Quadrant IV
B)Quadrant III
C)Quadrant II
D)Quadrant I
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6
Give the quadrant in which the point is located.
(-13, 14)
A)Quadrant I
B)Quadrant IV
C)Quadrant III
D)Quadrant II
(-13, 14)
A)Quadrant I
B)Quadrant IV
C)Quadrant III
D)Quadrant II
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7

(0, 2)
A)B
B)F
C)C
D)K
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8
Give the quadrant in which the point is located.
(0, -6)
A)Quadrant III
B)Quadrant II
C)Quadrant IV
D)None
(0, -6)
A)Quadrant III
B)Quadrant II
C)Quadrant IV
D)None
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9
Determine the quadrants in which the given point (x,y)may lie.


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10
Give the quadrant in which the point is located.
(-16, 0)
A)Quadrant II
B)Quadrant IV
C)Quadrant III
D)None
(-16, 0)
A)Quadrant II
B)Quadrant IV
C)Quadrant III
D)None
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11
What month in 2010 had the lowest sales?
A)Month 12
B)Month 3
C)Month 2
D)Month 5
A)Month 12
B)Month 3
C)Month 2
D)Month 5
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12

(3, 5)
A)K
B)D
C)I
D)L
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13
Determine the quadrants in which the given point (x,y)may lie.
xy > 0
A)I or III
B)I or II
C)II or IV
D)II or III
xy > 0
A)I or III
B)I or II
C)II or IV
D)II or III
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14
Give the quadrant in which the point is located.
(-3, -5)
A)Quadrant III
B)Quadrant I
C)Quadrant IV
D)Quadrant II
(-3, -5)
A)Quadrant III
B)Quadrant I
C)Quadrant IV
D)Quadrant II
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15
What was the total increase in sales from 2009 to 2010?
A)$182,000
B)$22,000
C)$12,000
D)$1,342,000
A)$182,000
B)$22,000
C)$12,000
D)$1,342,000
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16
Which month in 2010 had the highest sales?
A)Month 3
B)Month 6
C)Month 5
D)Month 12
A)Month 3
B)Month 6
C)Month 5
D)Month 12
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17

(-5,-4)
A)A
B)I
C)L
D)G
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18

(4, 3)
A)C
B)D
C)E
D)K
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19

(-3, 0)
A)G
B)C
C)F
D)J
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20
Give the quadrant in which the point is located.
(7, -10)
A)Quadrant I
B)Quadrant III
C)Quadrant II
D)Quadrant IV
(7, -10)
A)Quadrant I
B)Quadrant III
C)Quadrant II
D)Quadrant IV
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21
Choose the equation that matches the graph.


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22

(0,-3)
A)J
B)I
C)C
D)G
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23

(2, 0)
A)F
B)B
C)K
D)C
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24
Use the distance formula to find the distance between the pair of points.


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25
Use the distance formula to find the distance between the pair of points.


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26
Write the equation of a circle with the given center and radius.
Center at (0, -8); Radius 12
Center at (0, -8); Radius 12

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27
Write the equation of a circle with the given center and radius.
Center at (-9, 0); Radius 11
Center at (-9, 0); Radius 11

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28
Find the midpoint of the line segment joining the two points.


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29
Use the distance formula to find the distance between the pair of points.


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30
Write the equation of a circle with the given center and radius.


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31
Write the equation of a circle with the given center and radius.
Center at (6, -10); Radius 2
A)(x - 10)2 + (y + 6)2 = 2
B)(x + 6)2 + (y - 10)2 = 4
C)(x + 10)2 + (y - 6)2 = 2
D)(x - 6)2 + (y + 10)2 = 4
Center at (6, -10); Radius 2
A)(x - 10)2 + (y + 6)2 = 2
B)(x + 6)2 + (y - 10)2 = 4
C)(x + 10)2 + (y - 6)2 = 2
D)(x - 6)2 + (y + 10)2 = 4
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32
Use the distance formula to find the distance between the pair of points.


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33
Find the midpoint of the line segment joining the two points.


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34
Write the equation of a circle with the given center and radius.


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35
Find the midpoint of the line segment joining the two points.


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36
Write the equation of a circle with the given center and radius.


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37
Choose the equation that matches the graph.


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38

(4, -5)
A)F
B)A
C)L
D)K
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39
Write the equation of a circle with the given center and radius.
Center at (0, 0); Radius 7
Center at (0, 0); Radius 7

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40
Find the midpoint of the line segment joining the two points.


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41
Solve the problem.
Three receiving stations at (8, 11), (4, 6), and (12, 9)record distances to an earthquake of 2 units, 5 units, and 4 units, respectively.Find the coordinates of the epicenter.
A)(-6, -5)
B)(1, 2)
C)(9, 8)
D)(8, 9)
Three receiving stations at (8, 11), (4, 6), and (12, 9)record distances to an earthquake of 2 units, 5 units, and 4 units, respectively.Find the coordinates of the epicenter.
A)(-6, -5)
B)(1, 2)
C)(9, 8)
D)(8, 9)
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42
Find the center and radius of the circle.


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43
Graph the circle.


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44
Graph the circle.


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45
Find the center and radius of the circle.


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46
Graph the circle.


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47
Solve the problem.
The enrollment at State University for 2002 was 12 thousand students. The projected enrollment for 2008 is 28 thousand students. Use the midpoint formula to estimate the enrollment for
2005.
A)16 thousand students
B)20 thousand students
C)24 thousand students
D)40 thousand students
The enrollment at State University for 2002 was 12 thousand students. The projected enrollment for 2008 is 28 thousand students. Use the midpoint formula to estimate the enrollment for
2005.
A)16 thousand students
B)20 thousand students
C)24 thousand students
D)40 thousand students
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48
Find the center and radius of the circle.


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49
Solve the problem.
If the coordinates of one endpoint of a line segment are (4, 2)and the coordinates of the midpoint of the segment are (6, 2), what are the coordinates of the other endpoint?
A)(8, 2)
B)(2, 2)
C)(8, 0)
D)(2, 0)
If the coordinates of one endpoint of a line segment are (4, 2)and the coordinates of the midpoint of the segment are (6, 2), what are the coordinates of the other endpoint?
A)(8, 2)
B)(2, 2)
C)(8, 0)
D)(2, 0)
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50
Find the center and radius of the circle.


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51
Find the center and radius of the circle.


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52
Find the center and radius of the circle.


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53
Graph the circle.


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54
Decide whether the statement is true or false.
If a point lies on the y-axis, its x-coordinate is zero.
If a point lies on the y-axis, its x-coordinate is zero.
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55
Decide whether the statement is true or false.
If a point lies on the x-axis, its x-coordinate is zero.
If a point lies on the x-axis, its x-coordinate is zero.
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56
Find the center and radius of the circle.


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57
Find the center and radius of the circle.


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58
Graph the circle.


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59
Find the center and radius of the circle.


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60
Graph the circle.


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61
Complete the ordered pairs. Then graph the equation.


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62
Complete the ordered pairs. Then graph the equation.


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63
Find the y- and x-intercepts for the equation. Then graph the equation.



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64
Complete the ordered pairs. Then graph the equation.




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65
Find the y- and x-intercepts for the equation. Then graph the equation.



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66
Find the y- and x-intercepts for the equation. Then graph the equation.



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67
Complete the ordered pairs. Then graph the equation.


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68

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69
The distance between the points (p, q)and (a, b)is given by 

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70

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71
Complete the ordered pairs. Then graph the equation.


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72
If the coordinates of one endpoint of a line segment are (0, 0)and the coordinates of the midpoint of
the segment are (p, q), then the coordinates of the other endpoint are (-p, -q).
the segment are (p, q), then the coordinates of the other endpoint are (-p, -q).
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73

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74
Find the y- and x-intercepts for the equation. Then graph the equation.



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75
Find the y- and x-intercepts for the equation. Then graph the equation.



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76

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77

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78
The radius of a circle must be an integer number.
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79
Find the y- and x-intercepts for the equation. Then graph the equation.



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80
Complete the ordered pairs. Then graph the equation.


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