Question 1

Two planes fly in opposite directions. One travels 600 mi/h and the other 550 mi/h. How long will it take before they are 5750 miles apart?

Accepted Answer

5

Question 2

For the following exercise, solve the quadratic equation by completing the square.
$12y^2$−$y$−$6$ = $0$

Accepted Answer

-2/3 & 3/4

Question 3

For the following exercise, consider the following scenario: The number of people afflicted with the common cold in the winter months steadily decreased by 
215 per year from 2005 until 2010. In 2005, 13725 people were afflicted. Assume t=0 in 2005.

Find the linear function that models the number of people inflicted with the common cold, C, as a function of the year, t.

Accepted Answer

13725−215t

Question 4

For the following exercise, consider this scenario: A town's population has been increasing at a constant rate. In 2010 the population was 47280. By 2012 the population had increased to 53330. Assume this trend continues linearly. Identify the year in which the population will reach 75000.

Accepted Answer

2019

Question 5

Use the vertex (h,k) and a point on the graph (x,y) to find the Standard Form of the equation of this quadratic function.
(h,k)=(1,−2) , (x,y)=(−1,2)

Accepted Answer

$(x$−1)$^2$ − 2

Question 6

Find the x-intercepts of the polynomial function.
f(x)=$x^6$−$4x^4$−$5x^2$

Accepted Answer

(0,0), (−√5,0), (√5,0)

Question 7

y varies jointly as x and the cube of z and inversely as the square root of w. When x=1, z=2 and w =64, then y=3. Find y when x=2, z=1 and w=36.

Accepted Answer

1

Question 8

Condense the expression to a single logarithm using the properties of logarithms.
2ln(a)−$\frac{1}{2}$ln(b)+5ln(c)

Accepted Answer

${$$a^2$$c^5$}/${√b}$

Question 9

$8log_4$(2)−$2log_4(2)$+$log_4$($\frac{1}{164}$)

Accepted Answer

0

Question 10

Simplify the given expression.

Accepted Answer

$\frac{m^7}{n^6}$

Question 11

Combine the following rational expression.

Accepted Answer

$\frac{b+3}{4b+8}$

Question 12

Simplify as much as possible.

Accepted Answer

$\frac{x^2+1}{2x}$

Question 13

Find the domain of the following inequality.

Accepted Answer

(-9,15)

Question 14

Find the average rate of change of the function on the given interval.

Accepted Answer

-1/3

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