Deck 2: Graphs

Question 1

Find the equation of the circle with radius 4 and center (-6, -3) in standard form.

A)
B)
C)
D)

Answer 1

Question 2

Find the equation of the circle with radius 8 and center (-5, 6) in standard form.

A)
B)
C)
D)

Answer 2

Question 3

Find the equation of the circle with radius 6 and center (20, -1) in standard form.

A)
B)
C)
D)

Answer 3

Question 4

Find the equation of the circle with radius 2 and center (0, 0) in standard form.

A)
B)
C)
D)

Question 5

Find the center and radius of the circle with equation + = 2.

A) center = (13, -4), r = 4
B) center = (13, -4), r = 2
C) center = (-13, 4), r = 2
D) center = (-13, 4), r = 4

Question 6

Find the center and radius of the circle with equation + = 175.

A) center = (9, -18), r = 175
B) center = (9, -18), r = 5
C) center = (-9, 18), r = 175
D) center = (-9, 18), r = 5

Question 7

Find the center and radius of the circle with equation + - 12 = 0.

A) center (0, 0), r = 6
B) center (0, 0), r = 0
C) center (0, 0), r = 4
D) center (0, 0), r = 12

Question 8

Find the center and radius of the circle with equation + = 64.

A) center (0, -2), r = 64
B) center (0, 2), r = 64
C) center (0, 2), r = 8
D) center (0, -2), r = 8

Question 9

Find the center and radius of the circle with equation + = 12.

A) center = (-4, 0), r = 12
B) center = (-4, 0), r = 2
C) center = (4, 0), r = 12
D) center = (4, 0), r = 2

Question 10

The point (4, 0) lies on a circle centered at (-2, 3). Find the equation of the circle in standard form.

A)
B)
C)
D)

Question 11

The point (4, -5) lies on a circle centered at (0, 2). Find the equation in standard form.

A)
B)
C)
D)

Question 12

The point (-5, -1) lies on a circle centered at (3, 2). Find the equation of the circle in standard form.

A)
B)
C)
D)

Question 13

Find the equation of the circle with radius 7 and center (17, -3) in standard form.

Question 14

Find the center and radius of the circle with equation + = 1.

Question 15

Transform the equation into standard form by completing the square. State the center and radius.

Question 16

If a cellular phone tower has a reception radius of 230 miles and you live 20 miles south and 100 miles west of the tower, can you use your cell phone while at home?

Question 17

State the center and radius of the equation + + 16x - 10y + 85 = 0.

Question 18

State the center and radius of the equation + + 6x + 14y + 22 = 0.

Question 19

Express the equation + + 10x + 6y + 25 = 0 in standard form.

Question 20

Find the slope of the line that passes through the points (1, -5) and (9, -10).

A) -8/5
B) -5/8
C) 5/8
D) 8/5

Question 21

Find the slope of the line that passes through the points (-4, -1) and (-4, 8).

A) 7
B) -9
C) undefined
D) 0

Question 22

Find the slope of the line that passes through the points (-1, 6) and (-9, 6).

A) 1/8
B) 8
C) undefined
D) 0

Question 23

Find the slope of the line whose equation is given by x - 15y = -6.

A) 15
B) -15
C) 1/15
D) -1/15

Question 24

Find the slope of the line whose equation is given by 12x + y = -5.

A) -12
B) 12
C) 1/12
D) -1/12

Question 25

Find the slope of the line whose equation is given by x = 10.

A) 10
B) -10
C) undefined
D) 0

Question 26

Find the slope of the line whose equation is given by y = 6.

A) 6
B) 1/6
C) undefined
D) 0

Question 27

Find the x- and y-intercepts of the line whose equation is 8x + 5y = 40.

A) x-intercept: (5, 0), y-intercept (0, 8)
B) x-intercept: (8, 0), y-intercept (0, 5)
C) x-intercept: (-5, 0), y-intercept (0, -8)
D) x-intercept: (-8, 0), y-intercept (0, -5)

Question 28

Find the x- and y-intercepts of the line whose equation is 2x - 5y = 20.

A) x-intercept: (-10, 0), y-intercept: (0, 4)
B) x-intercept: (-4, 0), y-intercept: (0, 10)
C) x-intercept: (10, 0), y-intercept: (0, -4)
D) x-intercept: (0, 10), y-intercept: (-4, 0)

Question 29

Find the x- and y-intercept of the line whose equation is y + 6 = -18.

A) no x-intercept, y-intercept: (0, -24)
B) no x-intercept, y-intercept: (0, 6)
C) no x-intercept, y-intercept: (0, -18)
D) x-intercept: (0,0), y-intercept: (0, -24)

Question 30

Write the equation of the line given the slope m = -19 and y-intercept (0, 10).

A) y = 10x - 19
B) y = 19x + 10
C) y = -19x - 10
D) y = -19x + 10

Question 31

Write the equation of the line given the slope m = 1/9 and x-intercept (1/10, 0).

A)
B)
C)
D)

Question 32

Write the equation of the line given the slope m = -5/9 and a point (-11, 3) that lies on the line.

A)
B)
C)
D)

Question 33

Find the y- and x-intercepts and slope of the line 5x - 8y = 40, if they exist.

Question 34

Find the equation of the line that passes through the point (0, 6) and is parallel to the line

Question 35

The cost of a one day car rental is the sum of the rental fee, $60, plus $0.23 per mile. Write an equation that models the total cost associated with the car rental.

Question 36

Find the equation of the line that passes through the point (9, 0) and is parallel to the line Express your answer in slope-intercept form, if possible.

Question 37

Find the equation of the line that passes through the point (50, 10) and is perpendicular to the line 3y + 10x = -10.

Question 38

Find the slope of the line pictured below.

A)
B) -
C) - 2
D) 2

Question 39

Find the slope of the line pictured below.

Question 40

Find the slope of the line pictured below.

A) -1/2
B) 1/2
C) -2
D) 2

Question 41

Find the x- and y-intercepts of the line pictured below.

Question 42

Find the x- and y-intercepts of the line pictured below.

A) x-intercept : (4, 0), y-intercept : (0, 5)
B) x-intercept : ( 5, 0), y-intercept : (0, 4)
C) x-intercept : 4, y-intercept : 5
D) x-intercept : 5, y-intercept ; 4

Question 43

Find the slope of the line pictured below.

Question 44

Find the slope of the line pictured below.

A) 0
B) undefined
C) -3
D) 3

Question 45

Find the x- and y-intercepts of the line pictured below.

Question 46

Find the x- and y-intercepts of the line pictured below.

A) x-intercept : (-1, 0)y-intercept : none
B) None
C) 0
D) Undefined

Question 47

For the graph, identify (by inspection) (a) the x- and y-intercepts and (b) classify the line as rising, falling, horizontal, or vertical.

Question 48

Find the x- and y-intercepts of the line pictured below.

Question 49

For the graph, write the equation in slope-intercept form.

Question 50

Find the equation of the line that passes through the points (15, 21) and (-5, -3).

Question 51

Determine which point lies on the graph of the equation y = -10 - 4x + 8.

A) (-222, 5)
B) (-222, -222)
C) (-262, 5)
D) (5, -262)

Question 52

Determine which point lies on the graph of the equation y = + 7.

A) (17, 3)
B) (3, 17)
C) (3, 11)
D) (0, 0)

Question 53

Which of the following applies to the graph y = ?

A) symmetry with respect to the x-axis
B) symmetry with respect to the y-axis
C) symmetry with respect to the origin
D) no symmetry

Question 54

Which of the following applies to the graph 49 + = 25?

A) symmetry with respect to the x-axis
B) symmetry with respect to the y-axis
C) symmetry with respect to the origin
D) no symmetry

Question 55

Which of the following applies to the graph y = 5 ?

A) symmetry with respect to the x-axis
B) symmetry with respect to the y-axis
C) symmetry with respect to the origin
D) no symmetry

Question 56

The point (-17, 18) lies on the graph that is symmetric about the x-axis. State the other point that must also lie on the graph.

A) (17, 18)
B) (17, -18)
C) (-17, -18)
D) (18, -17)

Question 57

The point (1, -8) lies on the graph that is symmetric about the x-axis. State the other point that must also lie on the graph.

A) (1, 8)
B) (-1, -8)
C) (-1, 8)
D) (-8, 1)

Question 58

The point (7, -5) lies on the graph that is symmetric about the y-axis. State the other point that must also lie on the graph.

A) (-5, 7)
B) (7, 5)
C) (-7, -5)
D) (-7, 5)

Question 59

The point (-2, -10) lies on the graph that is symmetric about the y-axis. State the other point that must also lie on the graph.

A) (-10, -2)
B) (2, -10)
C) (-2, 10)
D) (2, 10)

Question 60

The point (-10, 2) lies on the graph that is symmetric about the origin. State the other point that must also lie on the graph.

A) (2, -10)
B) (10, 2)
C) (-10, -2)
D) (10, -2)

Question 61

The point (-7, -3) lies on the graph that is symmetric about the origin. State the other point that must also lie on the graph.

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

Question 62

Use algebraic tests to determine whether the graph of the equation y = 10 + 5 is symmetric with respect to the x-axis, y-axis, or origin.

A) x-axis
B) y-axis
C) origin
D) no symmetry

Question 63

Use algebraic tests to determine whether the graph of the equation is symmetric with respect to the x-axis, y-axis, or origin.

A) x-axis
B) y-axis
C) origin
D) x-axis, y-axis, origin

Question 64

Use algebraic tests to determine whether the graph of the equation is symmetric with respect to the x-axis, y-axis, or origin.

A) y-axis
B) x-axis
C) origin
D) no symmetry

Question 65

The given point (-2, 3) lies on the graph that is symmetric about the x-axis, y-axis, and origin. State the other points that must also lie on the graph.

Question 66

Use algebraic tests to determine whether the graph 5 + 4 = 1 is symmetric with respect to the x-axis, y-axis, or origin.

Question 67

Use algebraic tests to determine whether the graph of y = 8 - 6x is symmetric with respect to the x-axis, y-axis, or origin.

Question 68

Plot the graph of the given equation.

A)

B)

C)

D)

Question 69

The profit associated with making a particular product is given by the equationy = - + 10x - 21where y represents the profit in millions of dollars and x represents the number of thousands of units sold. corresponds to 1000 units and corresponds to $1M.) Graph this equation and determine how many units must be sold to break even Determine the range of units sold that correspond to making a profit.

A)

B)

C)

D)

Question 70

Use symmetry to help you graph the equation.

Question 71

Use symmetry to help you graph the equation.

A)

B)

C)

D)

Question 72

Use symmetry to help you graph the equation.

A)

B)

C)

D)

Question 73

Use symmetry to help you graph the equation.

A)

B)

C)

D)

Question 74

Match the graph with the corresponding symmetry.

A) Symmetry with respect to the x-axis
B) No symmetry
C) Symmetry with respect to the y-axis
D) Symmetry with respect to the x-axis, y-axis, and origin
E) Symmetry with respect to the origin

Question 75

Complete the table for the given equation.

Question 76

Complete the table for the given equation.

Question 77

Find the x-intercept(s).
3x + 2y = 6

Question 78

Find the y-intercept(s).
-5x + 3y = 9

Question 79

Find the x-intercept(s).
y = - 7x + 10

Question 80

Name the quadrant for the point (-15, -31).

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