Deck 8: Conics and Systems of Nonlinear Equations and Inequalities

Question 1

Graph the nonlinear inequality.

Answer 1

Question 2

Graph the nonlinear inequality.

A)
B)
C)
D)

Answer 2

Question 3

Match the graph to the nonlinear inequality.

A)
B)
C)
D)

Answer 3

Question 4

Graph the nonlinear inequality.

Question 5

Graph the nonlinear inequality.

A)
B)
C)
D)

Question 6

Match the graph to the nonlinear inequality.

A)
B)
C)
D)

Question 7

Graph the system of inequalities.

Question 8

Graph the system of inequalities.

A)
B)
C)
D)

Question 9

Match the graph to the system of inequalities.

A)
B)
C)
D)

Question 10

Find the area enclosed by the system of inequalities: + < 1y < 0

A) ?/4 square units
B) ?/2 square units
C) ? square units
D) The region is not bounded (the area is infinite)

Question 11

Graph the nonlinear inequality.- 6 x + + 2 x + 10 ≤ 4

Question 12

Solve the system of equations by applying the elimination method.

A) (4, 4)
B) (-4, -4)
C) infinite number of solutions
D) no solution

Question 13

Solve the system of equations by applying the elimination method.

A) (2, 0)
B) (2, 2)
C) (0, 2)
D) no solution

Question 14

Solve the system of equations by applying the substitution method.

A) (8, 7), (-8, -7)
B) (8, 7)
C) (56, 1)
D) no solution

Question 15

Solve the system of equations by applying the substitution method.

A) (5, 7)
B) (5, 7), (-5, -7)
C) (-7, -5)
D) no solution

Question 16

Solve the system of equations by applying the substitution method.

A) (3, 7), (-3, -7)
B) (3, -7)
C) (-3, 7)
D) (-3, 7), (3, -7)

Question 17

Solve the system of equations by applying the substitution method.

A) (5, 0)
B) (-4, -3)
C) (-3, 4), (-4, 3)
D) no solution

Question 18

Solve the system of equations by applying the substitution method.

A) (9, 74)
B) (0, -7), (9, 74)
C) (0, 7), (9, 0)
D) no solution

Question 19

Solve the system of equations by applying the substitution method.

A) (8, 0), ( , 0)
B) (8, 0)
C) ( , 0)
D) no solution

Question 20

Solve the system of equations by applying the substitution method.

A) (7, 7)
B) (-7, -7)
C) (2, 2), (-7, -7)
D) no solution

Question 21

Graph each equation and find the point(s) of intersection.

A) (8, 0), (0, -8)
B) (0, 8), (-8, 0)
C) (0, 8)
D) no solution

Question 22

Graph each equation and find the point(s) of intersection.

A) (0, 7)
B) (-7, 0)
C) (-7, 38)
D) no solution

Question 23

Graph each equation and find the point(s) of intersection.

A) (0, -7)
B) (0, 7)
C) (7, -7)
D) no solution

Question 24

Graph each equation and find the point(s) of intersection.

A) (4, -8)
B) (0, -8)
C) (4, -8), (-4, -8)
D) no solution

Question 25

Graph each equation and find the point(s) of intersection.

A) (-4, 0)
B) (0, 4)
C) (0, 1)
D) no solution

Question 26

Solve the system of equations by apply any method.

A) (3, 3), (-3, -3)
B) (3, 3)
C) (3, 0)
D) no solution

Question 27

Solve the system of equations by applying the elimination method.

Question 28

Solve the system of equations by applying the substitution method.

Question 29

Graph each equation and find the point(s) of intersection.

Question 30

The difference of two numbers is 77 and the difference of their squares is 5,159. Find the numbers.

Question 31

A family moves into a new home and decides to fence in the yard to give its dog room to roam. If the area that will be fenced in is rectangular and has an area of 30,000 square feet, and the length is three times as much as the width, how many linear feet of fence should they buy?

A) 693 feet
B) 800 feet
C) 500 feet
D) 700 feet

Question 32

Solve the system of equations by applying the elimination method.

Question 33

Solve the system of equations by applying the elimination method.

Question 34

Solve the system of equations by applying the elimination method.

Question 35

Solve the system of equations by applying the elimination method.

Question 36

Solve the system of equations by applying the elimination method.

Question 37

Solve the system of equations by applying the elimination method.

Question 38

Find the standard form of the equation of the hyperbola with foci (-7, 0) and and vertices and

A)
B)
C)
D)

Question 39

Find the standard form of the equation of the hyperbola with foci (0, 3) and and vertices and

A)
B)
C)
D)

Question 40

Find the standard form of the equation of the hyperbola with foci (-10, 0) and and vertices (-2, 0) and (2, 0).

A)
B)
C)
D)

Question 41

Find the standard form of the equation of the hyperbola with foci (0, -9) and (0, 9), and vertices (0, 2) and (0, -2).

A)
B)
C)
D)

Question 42

Find the standard form of the equation of a hyperbola with center (0, 0), transverse x-axis, and asymptotes y = 11x and

A)
B)
C)
D)

Question 43

Find the standard form of the equation of a hyperbola with center (0, 0), transverse y-axis, and asymptotes and

A)
B)
C)
D)

Question 44

Find the standard form of the equation of a hyperbola with center (0, 0), transverse x-axis, and asymptotes and

A)
B)
C)
D)

Question 45

Find the standard form of the equation of a hyperbola with center (0, 0), transverse y-axis, and asymptotes and

A)
B)
C)
D)

Question 46

Find the standard form of the hyperbola with the following equation.4 - 6 - 8x - 24y = 44

A)
B)
C)
D)

Question 47

Find the standard form of the hyperbola with the following equation.2 - 3 - 20x - 48y = 148

A)
B)
C)
D)

Question 48

Find the standard form of the equation of a hyperbola with foci (0, 10) and and vertices and

Question 49

Find the standard form of the hyperbola with the following equation.25 - 4 - 50x + 40y - 175 = 0

Question 50

Graph the hyperbola.

Question 51

Find the equation of the hyperbola from the given graph.

Question 52

Graph the hyperbola.

A)
B)
C)
D)

Question 53

Find the equation of the hyperbola from the given graph.

A)
B)
C)
D)

Question 54

Graph the hyperbola.

Question 55

Graph the hyperbola.

Question 56

Graph the hyperbola.

Question 57

Find the standard form of the equation of the hyperbola from the given graph.

Question 58

Find the equation of the hyperbola from the given graph.

Question 59

Find the general equation of the hyperbola from the given graph.

Question 60

Find the standard form of the equation of the hyperbola from the given graph.

A)
B)
C)
D)

Question 61

Find the equation of the hyperbola from the given graph.

A)
B)
C)
D)

Question 62

Find the general equation of the hyperbola from the given graph.

A)
B)
C)
D)

Question 63

Graph the hyperbola.

A)
B)
C)
D)

Question 64

Graph the hyperbola.

A)
B)
C)
D)

Question 65

Graph the hyperbola.

A)
B)
C)
D)

Question 66

Two loran stations are located 270 miles apart along a coast. If a ship records a time difference of 0.00047 second and continues on the hyperbolic path corresponding to that difference, where will it reach shore? Round to the nearest mile. (Assume the speed of the radio signal is 186,000 miles per second.)

A) The ship reaches shore between the two stations, 183 miles from one station and 357 miles from the other.
B) The ship reaches shore between the two stations, 91 miles from one station and 179 miles from the other.
C) The ship reaches shore between the two stations, 226 miles from one station and 314 miles from the other.
D) The ship reaches shore between the two stations, 248 miles from one station and 292 miles from the other.

Question 67

Find the standard form of the equation of a hyperbola with foci (6, 13) and and vertices and

Question 68

Find the standard form of the equation of a hyperbola with foci (8, 0) and and vertices and

Question 69

Find the standard form of the equation of an ellipse with foci (-3, 0) and and vertices and

A)
B)
C)
D)

Question 70

Find the standard form of the equation of an ellipse with foci (0, -9) and and vertices and

A)
B)
C)
D)

Question 71

Find the standard form of the equation of an ellipse with foci (-2, 0) and and vertices and

A)
B)
C)
D)

Question 72

Find the standard form of the equation of an ellipse with foci (0, -1) and and vertices and

A)
B)
C)
D)

Question 73

Find the standard form of the ellipse with the following equation.

A)
B)
C)
D)

Question 74

Find the standard form of the ellipse with the following equation.

A)
B)
C)
D)

Question 75

Find the standard form of the ellipse with the following equation.

A)
B)
C)
D)

Question 76

Find the standard form of the ellipse with the following equation.

A)
B)
C)
D)

Question 77

Find the standard form of the equation of an ellipse with foci (5, 0) and (-5, 0), and vertices (7, 0) and (-7, 0).

Question 78

Find the standard form of the ellipse with the following equation.

Question 79

Graph the ellipse.

Question 80

Find the standard form of the equation of the ellipse with the given graph.