Deck 12: The Circle

Question 1

Solve.

A)
B)
C)
D)
E)

Answer 1

A

Question 2

Find the distance between the following points. and

A)
B)
C)
D)
E)

Answer 2

B

Question 3

Find y so the distance between (14, y ) and (9, 5) is 5.

A)
B)
C)
D)
E)

Answer 3

B

Question 4

Find the center and radius, and choose the graph of the following circle.

A) center = (2, 4); radius = 5
B) center = (4, 2); radius = 5
C) center = (-2, -4); radius = 5
D) center = (-4, -2); radius = 5
E) center = (0, 0); radius = 5

Question 5

Find the distance between the following points. (7, 5) and (11, 8)

A)
B)
C)
D)
E)

Question 6

Find the center and radius, and choose the graph of the following circle.

A)
B)
C)
D)

Question 7

Choose the equation of the circle with the given center and radius. Center (4, 5); r = 8

A)
B)
C)
D)
E)

Question 8

Find the distance between the following points. and

A)
B)
C)
D)
E)

Question 9

Divide by .

A)
B)
C)
D)
E)

Question 10

Find x so the distance between ( x , 9) and (1, 11) is .

A)
B)
C)
D)
E)

Question 11

Choose the equation of the circle with the given center and radius. Center ;

A)
B)
C)
D)
E)

Question 12

Choose the equation of the circle with the given center and radius. Center ;

A)
B)
C)
D)
E)

Question 13

Choose the equation of the circle with the given center and radius. Center ;

A)
B)
C)
D)
E)

Question 14

Find the center and radius, and choose the graph of the following circle.

A) center = ; radius = 6
B) center = ; radius = 6
C) center = ; radius = 6
D) center = ; radius = 6

Question 15

Find the center and radius, and choose the graph of the following circle.

A) center = (2, 4); radius = 4
B) center = (-2, -4); radius = 4
C) center = (-2, 4); radius = 4
D) center = (2, -4); radius = 4
E) center = (0, 0); radius = 4

Question 16

A parabola and a circle each contain the points (-5, 0), (0, 5), and (5, 0). Choose the graph that shows each curve on the same coordinate system.

A) Circle: ; parabola:
B) Circle: ; parabola:
C) Circle: ; parabola:
D) Circle: ; parabola:

Question 17

Find the equation of the circle shown in the graph.

A)
B)
C)
D)
E)

Question 18

Find the distance between the following points. and

A)
B)
C)
D)
E)

Question 19

Choose the equation of the circle with the given center and radius. Center (-6, 4); r = 3

A)
B)
C)
D)
E)

Question 20

Find the center and radius, and choose the graph of the following circle.

A) center = (2, 5); radius =
B) center = ( 2, 5); radius =
C) center = (2, 5); radius =
D) center = (-2, 5); radius =

Question 21

Write the equation of the circle with the given center and radius. Center (2, 3); r = 5

Question 22

Write the equation of the circle with the given center and radius. Center ;

Question 23

Find y when x is 8 in the equation

A)
B)
C)
D)
E)

Question 24

Find x so the distance between ( x , 4) and (1, 7) is .

Question 25

Write the equation of the circle with the given center and radius. Center ;

Question 26

Find y when x is 6.4 in the equation

A)
B)
C)
D)
E)

Question 27

Solve.

Question 28

Divide by 42.

Question 29

Find the equation of the circle shown in the graph.

Question 30

Find an equation for the graph.

A)
B)
C)
D)
E)

Question 31

Give the equations of the two asymptotes in the following graph.

A)
B)
C)
D)
E)

Question 32

Find the distance between the following points. and

Question 33

Find an equation for the graph.

A)
B)
C)
D)
E)

Question 34

Find the distance between the following points. and

Question 35

Find the distance between the following points. and

Question 36

Find y so the distance between (8, y ) and (3, 6) is 5.

Question 37

Find the distance between the following points. and

Question 38

Write the equation of the circle with the given center and radius. Center ;

Question 39

A new theme park is planning an archway at its main entrance. The arch is to be in the form of a semi-ellipse with the major axis as the span. If the span is to be 48 feet and the height at the center is to be 8 feet, what is the equation of the ellipse?

A)
B)
C)
D)
E)

Question 40

Write the equation of the circle with the given center and radius. Center ( - 9, 6); r = 5

Question 41

Find the x - and y -intercepts, if they exist.

A)
B)
C)
D)
E)

Question 42

Choose the graph of the following equation.

A)
B)
C)
D)

Question 43

Choose the graph of the following equation.

A)
B)
C)
D)

Question 44

Choose the graph of the following equation.

A)
B)
C)
D)

Question 45

Choose the graph of the following equation.

A)
B)
C)
D)

Question 46

Choose the graph of the following equation.

A)
B)
C)
D)

Question 47

Choose the graph of the following equation.

A)
B)
C)
D)

Question 48

Choose the graph of the following equation.

A)
B)
C)
D)

Question 49

President's Park is enclosed by an elliptical path with major axis 470 meters and minor axis 340 meters. What is the equation for the path around the park? The major axis is parallel to the x -axis, and the point of origin is placed in the center of President's Park.

A)
B)
C)
D)
E)

Question 50

Find an equation for the graph.

Question 51

Find y when x is 3.6 in the equation y = __________

Question 52

Choose the graph of the following equation.

A)
B)
C)
D)

Question 53

Give the equations of the two asymptotes in the following graph.

Question 54

Choose the graph of the following equation.

A)
B)
C)
D)

Question 55

Find y when x is 8 in the equation

Question 56

President's Park is enclosed by an elliptical path with major axis 466 meters and minor axis 390 meters. What is the equation for the path around the park? The major axis is parallel to the x -axis, and the point of origin is placed in the center of President's Park.

Question 57

Find the x - and y -intercepts, if they exist.

A)
B)
C)
D)
E)

Question 58

Find an equation for the graph.

Question 59

Find the x - and y -intercepts, if they exist.

A)
B)
C)
D)
E)

Question 60

Find the x - and y -intercepts, if they exist.

A)
B)
C)
D)
E)

Question 61

Solve the system of equations.

A)
B)
C)
D)
E)

Question 62

Solve the system of equations.

A)
B)
C)
D)
E)

Question 63

Solve the system of equations.

A)
B)
C)
D)
E)

Question 64

The equations of the circles are given as follows: Circle A Circle B Circle C Find the points of intersection of circles B and C .

A)
B)
C)
D)
E)

Question 65

Solve the system of equations.

A)
B)
C)
D)
E)

Question 66

Find the x - and y -intercepts, if they exist. x -intercept(s) = __________ y -intercept(s) = __________

Question 67

Solve the system of equations.

A)
B)
C)
D)
E)

Question 68

Choose the graph of the following inequality.

A)
B)
C)
D)

Question 69

Find the x - and y -intercepts, if they exist. x -intercept(s) = __________ y -intercept(s) = __________

Question 70

Choose the graph of the following inequality.

A)
B)
C)
D)

Question 71

Choose the graph of the following inequality.

A)
B)
C)
D)

Question 72

Choose the graph of the following inequality.

A)
B)
C)
D)

Question 73

Find the x - and y -intercepts, if they exist. x -intercept(s) = __________ y -intercept(s) = __________

Question 74

Choose the graph of the following inequality.

A)
B)
C)
D)

Question 75

Find the x - and y -intercepts, if they exist. x -intercept(s) = __________ y -intercept(s) = __________

Question 76

Solve the system of equations.

A)
B)
C)
D)
E)

Question 77

Solve the system of equations.

A)
B)
C)
D)
E)

Question 78

The equations of the circles are given as follows: Circle A Circle B Circle C Find the points of intersection of circles A and B .

A)
B)
C)
D)
E)

Question 79

Choose the graph of the solution sets to the following systems.

A)
B)
C)
D)

Question 80

Solve the system of equations.

A)
B)
C)
D)
E)