algebra exam

Question 1

midpoint of the line segment (12,7) &(18,19)

Answer 1

(15,13)

Question 2

midpoint of line segment (5,9) &(11,15)

Answer 2

(8,12)

Question 3

distance between A(12,8) &B(4,2)

Answer 3

10 units

Question 4

distance between C(4,3) & D(7,7)

Answer 4

5 units

Question 5

equation of the parabola y=x^2 +10x+16 in standard form

Answer 5

Y=(x+5)^2-9

Question 6

the equation of a parabola that opens down ward & has axis of symmetry x=-1

Answer 6

y=-(x+1)^2

multiple choice C

Question 7

the center & radius of the circle with equation

(x-2)^2+y^2=9

Answer 7

(2,0);3

Question 8

equation for the circle with center (2,-3) that is tangent to the y-axis

Answer 8

(x-2)^2+(y+3)^2=4

Question 9

the equation of a circle with center (2,1) that passes through (2,4)

Answer 9

(x-2)^2 +(y-1)^2=9; mc A

Question 10

what is the location of the point half way between the wharf and library?

Answer 10

(15/2,2); mc D

Question 11

what is the distance between the library and zoo?

Answer 11

sqrt 61 units; mc B

Question 12

the equation of the parabola y=2x^2-8x+1 in standard form.

Answer 12

y=2(x-2)^2-7

Question 13

which equation is graphed at the right?

Answer 13

x=4y^2-16y+16

Question 14

an equation for a circle if the endpoints of a diameter are at (-7,1) & (5,1)

Answer 14

(x+1)^2 +(y-1)^2=36

Question 15

equation of a circle with center (2,0) and the radius is 2 units

Answer 15

x^2 + y^2 +4y=0

Question 16

9x^2+4^2=36

Answer 16

ellipse

Question 17

x^2+y^2=25

Answer 17

circle

Question 18

y=x^2+2x

Answer 18

parabola

Question 19

y=2x^2-4x-4

Answer 19

parabola

Question 20

4y^2-25x^2=100

Answer 20

hyperbola

Question 21

16x^2+y^2=16

Answer 21

ellipse