Deck 1: Straight Lines and Linear Functions
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Deck 1: Straight Lines and Linear Functions
1
Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located. 
A) (- 3, 7); Quadrant II
B) (3, 7); Quadrant I
C) (- 3, - 7); Quadrant IV
D) (- 3, - 7); Quadrant III

A) (- 3, 7); Quadrant II
B) (3, 7); Quadrant I
C) (- 3, - 7); Quadrant IV
D) (- 3, - 7); Quadrant III
(- 3, - 7); Quadrant III
2
Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located. 
A) (4, 3); Quadrant I
B) (
4, 3); Quadrant II
C) (
4, 0); Quadrant II
D) (
4,
3); Quadrant III
E) (4,
3); Quadrant IV

A) (4, 3); Quadrant I
B) (

C) (

D) (


E) (4,

(
4, 3); Quadrant II

3
Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located. 
A) (1, 2); Quadrant I
B) (
1, 2); Quadrant II
C) (
1, 0); Quadrant II
D) (
1,
2); Quadrant III
E) (1,
2); Quadrant IV

A) (1, 2); Quadrant I
B) (

C) (

D) (


E) (1,

(
1, 2); Quadrant II

4
Which point has coordinates ( 3, 3)? 
A) A
B) C
C) B

A) A
B) C
C) B
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5
Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located. 
A) (
4,
3); Quadrant III
B) (4, 3); Quadrant I
C) (4,
3); Quadrant IV
D) (
4, 0); Quadrant II
E) (
4, 3); Quadrant II

A) (


B) (4, 3); Quadrant I
C) (4,

D) (

E) (

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6
Which point has coordinates ( 3, - 5)? 
A) A
B) B
C) C

A) A
B) B
C) C
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7
What are the coordinates of point С? 
A) (- 4, - 4)
B) (- 3, 5)
C) (4, 2)

A) (- 4, - 4)
B) (- 3, 5)
C) (4, 2)
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8
Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located. 
A) (
1,
4); Quadrant III
B) (
1, 4); Quadrant II
C) (
1, 0); Quadrant II
D) (1,
4); Quadrant IV
E) (1, 4); Quadrant I

A) (


B) (

C) (

D) (1,

E) (1, 4); Quadrant I
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9
Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located. 
A) (- 5, 3); Quadrant II
B) (- 5, - 3); Quadrant IV
C) (5, 3); Quadrant I
D) (- 5, - 3); Quadrant III

A) (- 5, 3); Quadrant II
B) (- 5, - 3); Quadrant IV
C) (5, 3); Quadrant I
D) (- 5, - 3); Quadrant III
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10
Which point has a negative x-coordinate and a negative y-coordinate? 
A) B
B) C
C) A

A) B
B) C
C) A
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11
What are the coordinates of point B? 
A) (- 5, 4)
B) (- 5, - 3)
C) (4, 1)

A) (- 5, 4)
B) (- 5, - 3)
C) (4, 1)
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12
Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located. 
A) (
1,
1); Quadrant III
B) (1, 1); Quadrant I
C) (1,
1); Quadrant IV
D) (
1, 0); Quadrant II
E) (
1, 1); Quadrant II

A) (


B) (1, 1); Quadrant I
C) (1,

D) (

E) (

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13
Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located.
A) (7, 5); Quadrant III
B) (- 7, - 5); Quadrant IV
C) (7, 5); Quadrant I
D) (- 7, 5); Quadrant II

A) (7, 5); Quadrant III
B) (- 7, - 5); Quadrant IV
C) (7, 5); Quadrant I
D) (- 7, 5); Quadrant II
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14
What are the coordinates of point А? 
A) (2, 1)
B) (- 5, - 2)
C) (- 2, 4)

A) (2, 1)
B) (- 5, - 2)
C) (- 2, 4)
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15
Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located. 
A) (5, 5); Quadrant III
B) (- 5, 5); Quadrant II
C) (5, 5); Quadrant I
D) (- 5, - 5); Quadrant IV

A) (5, 5); Quadrant III
B) (- 5, 5); Quadrant II
C) (5, 5); Quadrant I
D) (- 5, - 5); Quadrant IV
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16
Which point has a negative x-coordinate and a negative y-coordinate? 
A) B
B) C
C) A

A) B
B) C
C) A
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17
Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located. 
A) (
1,
2); Quadrant III
B) (1, 2); Quadrant I
C) (1,
2); Quadrant IV
D) (
1, 0); Quadrant II
E) (
1, 2); Quadrant II

A) (


B) (1, 2); Quadrant I
C) (1,

D) (

E) (

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18
Which point has coordinates (- 2, 2)? 
A) C
B) B
C) A

A) C
B) B
C) A
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19
Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located. 
A) (- 5, - 3); Quadrant IV
B) (5, 3); Quadrant III
C) (5, 3); Quadrant I
D) (- 5, 3); Quadrant II

A) (- 5, - 3); Quadrant IV
B) (5, 3); Quadrant III
C) (5, 3); Quadrant I
D) (- 5, 3); Quadrant II
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20
Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located. 
A) (- 7, - 7); Quadrant IV
B) (- 7, 7); Quadrant II
C) (7, 7); Quadrant I
D) (- 7, - 7); Quadrant III

A) (- 7, - 7); Quadrant IV
B) (- 7, 7); Quadrant II
C) (7, 7); Quadrant I
D) (- 7, - 7); Quadrant III
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21
Sketch a set of coordinate axes and plot the given point. (7, -10)
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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22
Sketch a set of coordinate axes and plot the given point. (5, -8)
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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23
Sketch a set of coordinate axes and plot the given point. 
A)
B)
C)
D)

A)

B)

C)

D)

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24
Sketch a set of coordinate axes and plot the given point. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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25
Sketch a set of coordinate axes and plot the given point. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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26
Sketch a set of coordinate axes and plot the given point. (3, -6)
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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27
Sketch a set of coordinate axes and plot the given point. (-4, 3)
A)
B)
C)
D)
A)

B)

C)

D)

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28
Sketch a set of coordinate axes and plot the given point. (-5, 5)
A)
B)
C)
D)
A)

B)

C)

D)

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29
Sketch a set of coordinate axes and plot the given point. (1, 2)
A)
B)
C)
D)
A)

B)

C)

D)

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30
Find the distance between the given points. (2, 3) and (5, 7)
A) 4
B) 5
C) 3
D) 7
A) 4
B) 5
C) 3
D) 7
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31
Sketch a set of coordinate axes and plot the given point. (1.5, -1.5)
A)
B)
C)
D)
A)

B)

C)

D)

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32
Sketch a set of coordinate axes and plot the given point. (-1, 4)
A)
B)
C)
D)
A)

B)

C)

D)

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33
Sketch a set of coordinate axes and plot the given point. 
A)
B)
C)
D)

A)

B)

C)

D)

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34
Sketch a set of coordinate axes and plot the given point. (5, 5)
A)
B)
C)
D)
A)

B)

C)

D)

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35
Sketch a set of coordinate axes and plot the given point. 
A)
B)
C)
D)

A)

B)

C)

D)

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36
Sketch a set of coordinate axes and plot the given point. (4.5, -4.5)
A)
B)
C)
D)
A)

B)

C)

D)

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37
Sketch a set of coordinate axes and plot the given point. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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38
Sketch a set of coordinate axes and plot the given point. (2.5, -2.5)
A)
B)
C)
D)
A)

B)

C)

D)

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39
Sketch a set of coordinate axes and plot the given point. (4, 2)
A)
B)
C)
D)
A)

B)

C)

D)

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40
Which point has a negative x-coordinate and a negative y-coordinate? 
A) B
B) C
C) A

A) B
B) C
C) A
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41
Find an equation of the circle that satisfies the conditions. Center
and passes through 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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42
Find the distance between the given points. (- 3, 1) and (9, 6)
A) 17
B) 13
C) 7
D) 10
A) 17
B) 13
C) 7
D) 10
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43
Distance Traveled. A grand tour of four cities begins at city A and makes successive stops at cities B, C, and D before returning to city A. If the cities are located as shown in the figure, find the total distance covered on the tour. 
A) 7,000 miles
B) 6,500 miles
C) 1,700 miles
D) 6,000 miles
E) 5,000 miles

A) 7,000 miles
B) 6,500 miles
C) 1,700 miles
D) 6,000 miles
E) 5,000 miles
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44
Distance Traveled. A grand tour of four cities begins at city A and makes successive stops at cities B, C, and D before returning to city A. If the cities are located as shown in the figure, find the total distance covered on the tour.
__________ miles

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45
Find an equation of the circle that satisfies the conditions. Center
and radius 2 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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46
Find the distance between the given points. (2, 1) and (6, 4)
A) 5
B) 7
C) 3
D) 6
A) 5
B) 7
C) 3
D) 6
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47
Find the distance between the given points.
(1, 1) and (5, 4)
(1, 1) and (5, 4)
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48
Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The circle with equation
lies inside the circle with equation
, provided
. 
A)a
B)b




A)a
B)b
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49
Delivery Charges. A furniture store offers free setup and delivery services to all points within a 24-mi radius of its warehouse distribution center. If you live 20 mi east and 12 mi south of the warehouse, will you incur a delivery charge?
A) no
B) yes
A) no
B) yes
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50
Refer to the accompanying figure and determine the coordinates of the given point.
Coordinates: __________
Determine the quadrant in which it is located: __________

Coordinates: __________
Determine the quadrant in which it is located: __________
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51
Find an equation of the circle that satisfies the given conditions. Radius 9 and center at the origin.
A)
B)
C)
D)
A)

B)

C)

D)

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52
Find an equation of the circle that satisfies the given conditions. Radius 6 and center (3, - 5)
A)
B)
C)
D)
A)

B)

C)

D)

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53
Find an equation of the circle that satisfies the given conditions. Center at the origin and passes through (5, 1)
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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54
Find the coordinates of the points that are
units away from the origin and have an x-coordinate equal to
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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55
Refer to the accompanying figure and determine the coordinates of the given point.
Coordinates: __________
Determine the quadrant in which it is located: __________

Coordinates: __________
Determine the quadrant in which it is located: __________
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56
Will Barclay wishes to determine which antenna he should purchase for his home. The TV store has supplied him with the following information:
Will wishes to receive Channel 17 (VHF), which is located 26 miles east and 36 mile north of his home, and Channel 38 (UHF), which is located 25 miles south and 29 miles west of his home. Which model will allow him to receive both channels at the least cost? (Assume that the terrain between Will's home and both broadcasting stations is flat.)
A) C
B) A
C) B
D) D

A) C
B) A
C) B
D) D
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57
Find the distance between the given points.
(1, 3) and (5, 6)
(1, 3) and (5, 6)
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58
Minimizing Shipping Costs. Towns A, B, C, and D are located as shown in the figure. Two highways link town A to town D. Route 1 runs from town A to town D via town B, and Route 2 runs from town A to town D via town C. Suppose a fleet of 100 automobiles are to be shipped from an assembly plant in town A to town D. They may be shipped either by freight train along Route 1 at a cost of 20¢/mile/automobile or by truck along Route 2 at a cost of 18¢/mile/automobile. Which means of transportation minimizes the shipping cost? 
A) by truck along Route 2
B) both means cost the same
C) by train along Route 1

A) by truck along Route 2
B) both means cost the same
C) by train along Route 1
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59
Find the distance between the given points.
(- 1, 3) and (4, 15)
(- 1, 3) and (4, 15)
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60
Find an equation of the circle that satisfies the given conditions. Radius 3 and center (
7,
8)
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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61
Which point has coordinates (-2, 2)? 

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62
Find the coordinates of the points that are 5 units away from the origin and have an x-coordinate equal to -3.
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63
Delivery Charges. A furniture store offers free setup and delivery services to all points within a 25-mi radius of its warehouse distribution center. If you live 21 mi east and 12 mi south of the warehouse, will you incur a delivery charge? Justify your answer.
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64
Which point has a negative x-coordinate and a negative y-coordinate? 

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65
Refer to the accompanying figure and determine the coordinates of the given point.
Coordinates: __________
Determine the quadrant in which it is located: __________

Coordinates: __________
Determine the quadrant in which it is located: __________
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66
Which point has a negative x-coordinate and a negative y-coordinate? 

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67
Which point has coordinates (4, 4)? 

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68
Which point has coordinates (-5, 4)? 

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69
Refer to the accompanying figure and determine the coordinates of the given point.
Coordinates: __________
Determine the quadrant in which it is located: __________

Coordinates: __________
Determine the quadrant in which it is located: __________
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70
Will Barclay wishes to determine which antenna he should purchase for his home. The TV store has supplied him with the following information:
Will wishes to receive Channel 17 (VHF), which is located 29 miles east and 33 miles north of his home, and Channel 38 (UHF), which is located 25 miles south and 34 miles west of his home. Which model will allow him to receive both channels at the least cost? (Assume that the terrain between Will's home and both broadcasting stations is flat.)

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71
Find an equation of the circle that satisfies the given conditions.
Radius 2 and center at the origin.
Radius 2 and center at the origin.
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72
What are the coordinates of point A? 

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73
Find an equation of the circle that satisfies the given conditions.
Radius 7 and center (5, - 4)
Radius 7 and center (5, - 4)
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74
Minimizing Shipping Costs. Towns A, B, C, and D are located as shown in the figure. Two highways link town A to town D. Route 1 runs from town A to town D via town B, and Route 2 runs from town A to town D via town C. Suppose a fleet of 100 automobiles are to be shipped from an assembly plant in town A to town D. They may be shipped either by freight train along Route 1 at a cost of 20¢/mile/automobile or by truck along Route 2 at a cost of 18¢/mile/automobile.
Which means of transportation minimizes the shipping cost?
__________
What are the net savings?
$__________

Which means of transportation minimizes the shipping cost?
__________
What are the net savings?
$__________
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75
What are the coordinates of point C? 

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76
What are the coordinates of point B? 

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77
Refer to the accompanying figure and determine the coordinates of the given point.
Coordinates: __________
Determine the quadrant in which it is located: __________

Coordinates: __________
Determine the quadrant in which it is located: __________
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78
Which point has a negative x-coordinate and a negative y-coordinate? 

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79
Refer to the accompanying figure and determine the coordinates of the given point.
Coordinates: __________
Determine the quadrant in which it is located: __________

Coordinates: __________
Determine the quadrant in which it is located: __________
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80
Find an equation of the circle that satisfies the conditions.
Center
and passes through

Center



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