Friday
November 28, 2014

Homework Help: Algebra 2

Posted by Ben on Saturday, June 4, 2011 at 2:15am.

Find the distance between the points (12, 8) and (4, 2).
100 units
14 units
10 units
10 units

Find the midpoint of the points (3, 1) and (7, 5).
(1, 6)
(2, 1)
(2, 3)
(5, 2)

Find the vertex and focus of the parabola whose equation is 4y = x2 + 4.
V(0, 4), F(0, 3)
V(0, 1), F(0, 2)
V(4, 0), F(3, 0)
V(1, 0), F(2, 0)

Find the center and radius of the circle whose equation is x2 + 10x + y2 = 75.
C(10, 0), r = 100
C(10, 0), r = 10
C(5, 0), r = 100
C(5, 0), r = 10



Identify the type of equation presented in x2 + y2 4x + 12y 6 = 0.
parabola
circle
ellipse
hyperbola

Solve the following system of equations.
x2 + y2 = 64
x2 + 64y2 = 64
(8, 0), (8, 0)
(0, 8), (0, 8)
(8, 0)
(0, 8)

Find f(2) for f(x) = x3 2x2 + 7x + 1.
1
6
13
29

Identify the factors of the polynomial x3 + x2 14x 24.
(x 2)(x + 2)(x + 6)
(x + 2)(x + 3)(x 4)
(x + 1)(x 3)(x + 8)
(x 1)(x + 4)(x + 6)

Identify all rational zeros of the polynomial function f(x) = x3 + 2x2 5x 6.
1, 2, 3
1, 2, 3
1, 2, 3
1, 2, 3

Identify all zeros of the polynomial function f(x) = x4 9x3 + 24x2 6x 40.
2, 4, 1 i, 1 + i
2, 4, 2 i, 2 + i
1, 4, 2 i, 2 + i
1, 4, 3 i, 3 + i

Find f(g(2)) if f(x) = 4x + 5 and g(x) = x2 1.
8
17
12
21

Identify the inverse of the function f(x) = 7x + 2.

If y varies inversely with x, and y = 6 when x = 18, find y when x = 8.
13
2 ⅔
12
24

If y varies jointly as x and z, and y = 60 when x = 10 and z = 3, find y when x = 8 and z = 15.
240
120
15
9.6

Chase can do a job in 4 hours, while Campbell can do the same job in 2 hours. How long will it take the two of them to do the job together?
6 hours
3 hours
2 ⅔ hours
1 ⅓ hours

Solve the equation 4(x + 2) = 8(x 1).
4
5
7
8

Solve the equation log8 (x2 + 4x) = log8 12.
2
6
2, 6
2, 6

Solve the equation log2 3 = log2 (7x 8) log2 x.
no solution
1
2
4

Find the antilogarithm of 1.7.
.2304
.5306
5.47
50.12

Solve the equation ln x = 2. Round the answer to four decimal places.
7.3891
.3010
.6931
100

Solve the equation 8(x 2) = 5x. Round the answer to three decimal places.
9.578
8.850
5.293
6.147

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