Deck 3: Graphs and Functions

Question 1

For the points P and Q, find the coordinates of the midpoint of the segment PQ.

Answer 1

D

Question 2

List the ordered pairs from the table.

Answer 2

C

Question 3

For the points P and Q, find the distance d(P, Q).

Answer 3

A

Question 4

Determine whether the three points are the vertices of a right triangle.
(9, 6), (15, 8), (14, 3)

A) Yes
B) No

Question 5

List the ordered pairs from the table.

Question 6

Determine whether the three points are the vertices of a right triangle.
(-7, 4), (-1, 6), (3, -6)

A) Yes
B) No

Question 7

For the points P and Q, find the distance d(P, Q).

Question 8

Determine whether the three points are the vertices of a right triangle.
(5, 6), (7, 10), (9, 9)

A) Yes
B) No

Question 9

For the points P and Q, find the distance d(P, Q).

Question 10

For the points P and Q, find the coordinates of the midpoint of the segment PQ.

Question 11

For the points P and Q, find the coordinates of the midpoint of the segment PQ.

Question 12

For the points P and Q, find the coordinates of the midpoint of the segment PQ.

Question 13

For the points P and Q, find the coordinates of the midpoint of the segment PQ.

Question 14

Determine whether the three points are the vertices of a right triangle.
(-9, 9), (2, -2), (4, 0)

A) Yes
B) No

Question 15

Determine whether the three points are the vertices of a right triangle.
(-6, -6), (0, -4), (6, -11)

A) Yes
B) No

Question 16

Determine whether the three points are collinear.
(-2, 6), (6, 4), (-10, 8)

A) Yes
B) No

Question 17

For the points P and Q, find the distance d(P, Q).

Question 18

For the points P and Q, find the coordinates of the midpoint of the segment PQ.

Question 19

For the points P and Q, find the distance d(P, Q).

Question 20

Determine whether the three points are the vertices of a right triangle.
(-5, 2), (0, 2), (0, 4)

A) Yes
B) No

Question 21

Graph the equation by determining the missing values needed to plot the ordered pairs.

Question 22

Graph the equation by plotting points.

Question 23

Graph the equation by determining the missing values needed to plot the ordered pairs.

Question 24

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
midpoint (b, x), endpoint (m, q)

Question 25

Graph the equation by determining the missing values needed to plot the ordered pairs.

Question 26

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
midpoint (7, 13), endpoint (10, 9)

A) (18, 3)
B) (16, 1)
C) (4, 5)
D) (4, 17)

Question 27

Determine whether the three points are collinear.
(-5, -11), (4, 7), (5, 9)

A) Yes
B) No

Question 28

Graph the equation by plotting points.

Question 29

Determine whether the three points are collinear.
(0, -12), (-1, -3), (-9, -11)

A) Yes
B) No

Question 30

Determine whether the three points are collinear.
(7, -3), (-3, 6), (1, 1)

A) Yes
B) No

Question 31

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
The graph shows an idealized linear relationship for the average monthly payment to retirees from 1995 to 1999. Use the midpoint formula to estimate the average payment in 1997.

Question 32

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
The table shows enrollment in 2-year technical schools for 1980, 1990 and 2000. Assuming a linear relationship, estimate the enrollment for 1995.

Question 33

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.

Question 34

Graph the equation by determining the missing values needed to plot the ordered pairs.
5

Question 35

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
The table lists how financial aid income cutoffs (in dollars) for a family of four have changed over time. Use the midpoint formula to approximate the financial aid cutoff for 1985.

Question 36

Graph the equation by determining the missing values needed to plot the ordered pairs.

Question 37

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
midpoint (0, 3), endpoint (-4, 8)

A) (4, 13)
B) (4, -2)
C) (-14, 16)
D) (-12, 18)

Question 38

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
midpoint (5, 9), endpoint (2, 4)

A) (12, 10)
B) (8, -1)
C) (8, 14)
D) (-4, -6)

Question 39

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
midpoint (0, -5), endpoint (2, -4)

A) (6, -2)
B) (0, -8)
C) (-2, -6)
D) (-2, -3)

Question 40

Graph the equation by plotting points.

Question 41

Graph the equation by plotting points.

Question 42

Provide an appropriate response.

Question 43

Provide an appropriate response.

Question 44

Provide an appropriate response.
Are the points A(-1, 12), B(2, 9), C(4, 1), and D(7, 4) the vertices of a parallelogram (opposite side equal in length)? of a rhombus (all sides equal in length)?

A) no; no
B) no; yes
C) yes; yes
D) yes; no

Question 45

Provide an appropriate response.
What is the midpoint of the segment joining (a, z) and (-5a, 7z)?

A) (2a, 3z)
B) (-3a, 4z)
C) (-2a, 4z)
D) (-4a, 8z)

Question 46

Find the center-radius form of the equation of the circle.

Question 47

Graph the equation by plotting points.

Question 48

Provide an appropriate response.
If a vertical line is drawn through the point (-5, 6), where will it intersect the x-axis?

A) (0, 6)
B) (0, -5)
C) (6, 0)
D) (-5, 0)

Question 49

Find the center-radius form of the equation of the circle.

Question 50

Provide an appropriate response.
If the point (a, b) is in the fourth quadrant, in what quadrant is (b, a)?

A) III
B) II
C) I
D) IV

Question 51

Provide an appropriate response.
If the point (a, b) is in the fourth quadrant, in what quadrant is (-a, -b)?

A) I
B) II
C) III
D) IV

Question 52

Graph the equation by plotting points.

Question 53

Find the center-radius form of the equation of the circle.

Question 54

Graph the equation by plotting points.

Question 55

Graph the equation by plotting points.

Question 56

Provide an appropriate response.
If the point (a, b) is in the fourth quadrant, in what quadrant is (a, -b)?

A) I
B) III
C) IV
D) II

Question 57

Provide an appropriate response.
If a horizontal line is drawn through the point (5, -2), where will it intersect the y-axis?

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

Question 58

Find the center-radius form of the equation of the circle.

Question 59

Find the center-radius form of the equation of the circle.

Question 60

Provide an appropriate response.
Are the points A(1, 6), B(4, 9), C( 6, 1), and D(9, 4) the vertices of a parallelogram (opposite sides equal in length)? of a rhombus (all sides equal in length)?

A) yes; yes
B) no; yes
C) no; no
D) yes; no

Question 61

Graph the circle.

Question 62

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph.

Question 63

Graph the circle.

Question 64

Find the center and radius of the circle.

Question 65

Find the center-radius form of the equation of the circle.

Question 66

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph.

Question 67

Graph the circle.

Question 68

Find the center and radius of the circle.

Question 69

Find the center-radius form of the equation of the circle.

Question 70

Graph the circle.

Question 71

Find the center and radius of the circle.

Question 72

Find the center-radius form of the equation of the circle.

Question 73

Graph the circle.

Question 74

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph.

Question 75

Use the graph to determine the equation of the circle in center-radius form.

Question 76

Use the graph to determine the equation of the circle in center-radius form.

Question 77

Use the graph to determine the equation of the circle in center-radius form.

Question 78

Find the center and radius of the circle.

Question 79

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph.

Question 80

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph.