Answers OC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PUnit Test

Unit 5 TEST: Rational Functions Answers

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Which shows the expression in simplest form?

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What are the excluded values of x for ?

x = –6, x = 2

x = –6, x = –3, x = 2

x = –2, x = 6

x = –2, x = 3, x = 6

For which rational expression is –2 an excluded value of x?

Option

What is the quotient?

StartFraction 2 Over 3 (y minus 5) EndFraction

StartFraction 3 (y minus 5) Over 2 EndFraction

StartFraction (y minus 5) (y + 2) squared Over 6 (y + 3) squared EndFraction

StartFraction 3 (y + 5) (y minus 2) Over 2 (y + 2) EndFraction

The function relates y, the time in hours that it takes Michael to travel to his grandparents’ house, to x, his average speed in miles per hour. What does the number 60 in the function represent?

the time, in hours, that it takes to get to Michael’s grandparents’ house

the distance, in miles, that must be traveled to get to Michael’s grandparents’ house

the fuel, in gallons, that is used to get to Michael’s grandparents’ house

the rate, in miles per hour, that Michael travels to get to his grandparents’ house

The equation shows that the density of a particular substance equals a mass of 13 grams divided by the volume of the substance. What happens to the density as the volume approaches 0?

The density approaches infinity.

The density approaches 0.

The density approaches 1.

The density approaches 13.

How many extraneous solutions does the equation below have?

The inverse variation equation shows the relationship for a cruise ship’s travel between the rate of travel, x, and the time to travel, y for a distance of 600 miles. What is the rate of travel in miles per hour (mph) if the trip takes 24 hours?

2.5 mph

25 mph

144 mph

14,400 mph

What is the product?

StartFraction 4 n Over n + 1 EndFraction

StartFraction n Over n + 1 EndFraction

StartFraction 1 Over n + 1 EndFraction

StartFraction 4 Over n + 1 EndFraction

Which graph represents the function ?

On a coordinate plane, a hyperbola and parabola are shown. The hyperbola has a curve in quadrants 1 and 2. The parabola opens down and has a vertex at (0, 0).

On a coordinate plane, a hyperbola and a cubic functions are shown. They hyperbola has curves in quadrants 1 and 3, and the cubic function goes through (0, 0).

On a coordinate plane, a hyperbola is shown. One curve is in quadrant 1 and the other curves goes through quadrants 2 and 4.

On a coordinate plane, a hyperbola is shown. Both curves open downward in quadrants 3 and 4.

Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, the situation can be modeled by the following equation, where t is the number of minutes it would take to mow the lawn together.How long will it take Maxine and Jan to mow the lawn together?

30.0 minutes

45.0 minutes

67.5 minutes

135.0 minutes

How does the graph of compare to the graph of the parent function ?

g(x) is shifted 4 units right and 6 units up from f(x).

g(x) is shifted 4 units right and 6 units down from f(x).

g(x) is shifted 4 units left and 6 units up from f(x).

g(x) is shifted 4 units left and 6 units down from f(x).

What is the difference?

StartFraction 2 (x + 6) Over (x + 4) (x minus 4) EndFraction

StartFraction negative 2 (x + 6) Over (x + 4) (x minus 4) EndFraction

StartFraction x minus 3 Over (x + 5) (x minus 4) EndFraction

StartFraction negative 2 (x minus 6) Over (x + 4) (x minus 4) EndFraction

Where are the vertical asymptotes for the following function located?

x = –4 and x = 6

x = –4 and x = 7

x = 4 and x = –6

x = 6 and x = 7

Using V = lwh, what is an expression for the volume of the following prism?

StartFraction 4 (d minus 2) Over 3 (d minus 3)(d minus 4) EndFraction

StartFraction 4 d minus 8 Over 3 (d minus 4) squared EndFraction

StartFraction 4 Over 3 d minus 12 EndFraction

StartFraction 1 Over 3 d minus 3 EndFraction

The increase in a person’s body temperature T(t), above 98.6ºF, can be modeled by the function , where t represents time elapsed. What is the meaning of the horizontal asymptote for this function?

The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses.

The horizontal asymptote of y = 0 means that the person’s temperature will approach 0ºF as time elapses.

The horizontal asymptote of y = 4 means that the person’s temperature will approach 102.6ºF as time elapses.

The horizontal asymptote of y = 4 means that the person’s temperature will approach 4ºF as time elapses.

Marshall bought 32 ounces of mixed nuts, which are estimated to be 30% peanuts. Which expression can be used to find the percentage of peanut concentration of the final mix if he adds x ounces of peanuts?

Option

Which graph represents the function ?

On a coordinate plane, a hyperbola is shown. A curve opens up and to the right in quadrant 1, and another curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0.

On a coordinate plane, a hyperbola is shown. A curve opens up and to the right in quadrant 1, and another curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0.25.

On a coordinate plane, a hyperbola is shown. A curve opens up and to the left in quadrant 2, and another curve opens down and to the right in quadrant 4. A vertical asymptote is at x = 0.

On a coordinate plane, a hyperbola is shown. A curve opens up and to the left in quadrant 2, and another curve opens down and to the right in quadrant 4. A vertical asymptote is at x = 0.25.

The table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it takes the cyclist to complete a bicycle tour. Which rational function best models the data in the table?Time, x(hours)Average Speed, y(miles per hour)128166918