Answers 2025-2026_MDCPS_1200710_Mathematics for College Algebra_Sem 2-CRUnit Test

Unit Test — Cumulative exam Answers

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Which of the following gives a single solution of the inequality and shows a graph that can be used to determine the entire solution set of the inequality?

x = 0

x = –1

x = 2

x = 5

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How is the graph of transformed to produce the graph of ?

The graph is stretched horizontally by a factor of 2 and then moved right 4 units.

The graph is compressed horizontally by a factor of 2 and then moved down 4 units.

The graph is compressed horizontally by a factor of 2, moved left 4 units, and moved down 4 units.

The graph is stretched horizontally by a factor of 2, moved left 4 units, and moved down 4 units.

What is the solution of ?

x = –17

x = 13

x = 53

no solution

Consider the expression . Which of the following is an equivalent expression?

mc002-2.jpg

mc002-3.jpg

mc002-4.jpg

mc002-5.jpg

If you are given the graph of , how could you graph ?

Translate each point of the graph of g(x) 5 units up.

Translate each point of the graph of g(x) 5 units down.

Translate each point of the graph of g(x) 5 units left.

Translate each point of the graph of g(x) 5 units right.

Which is equivalent to ?

The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

Option

Which graph represents the function ?

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 3, and the horizontal asymptote is at y = negative 2.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens down and to the left in quadrants 2 and 3. A vertical asymptote is at x = 3, and the horizontal asymptote is at y = negative 2.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens down and to the left in quadrants 2 and 3. A vertical asymptote is at x = negative 3, and the horizontal asymptote is at y = 2.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1 , and the other curve opens down and to the left in quadrants 2, 1, and 4. A vertical asymptote is at x = 3, and the horizontal asymptote is at y = 2.

Riley makes a mistake in step 2 while doing her homework. What was her mistake? Step 1: Step 2: Step 3: Step 4:

She added the two fractions incorrectly.

She used the wrong common denominator.

She did not distribute the negative correctly.

She did not multiply the first fraction by a factor.

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and noticed that it took her the same amount of time as it did to ride 3 miles with the wind. How fast was the wind blowing that day?

4 mph

7 mph

10 mph

12 mph

The mean sustained wind velocity, v, can be determined by the equation , where p is the air pressure, in millibars, at the center of the hurricane. What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second?

103 millibars

194 millibars

363 millibars

910 millibars

A scientist has 100 milligrams of a radioactive element. The amount of radioactive element remaining after t days can be determined using the equation . After three days, the scientist receives a second shipment of 100 milligrams of the same element. The equation used to represent the amount of shipment 2 remaining after t days is . After any time, t, the mass of the element remaining in shipment 1 is what percentage of the mass of the element remaining in shipment 2?

78.1%

81.2%

123.1%

128.0%

The equation of the piecewise function f(x) is below. What is the value of f(–2)?

f(–2) = –6

f(–2) = –4

f(–2) = 0

f(–2) = 3

What is rewritten using the power property?

e log Subscript 6 Baseline f

f log Subscript 6 Baseline e

log Subscript 6 Baseline (e times f)

log Subscript 6 Baseline (e + f)

A student showed the steps below while solving the equation by graphing.Step 1:Write a system of equations: Step 2: Use the change of base formula to rewrite the equations:Step 3:Graph the two equations:Step 4:Identify the x-value at the point of intersection:In which step did the student make the first error?

step 1

step 2

step 3

step 4

Which function has the same maximum value as f(x) = – |x + 3| – 2?

Option

f(x) = (x + 3)2 – 2

Option

f(x) = –(x – 6)2 – 3

What is the rate of increase for the function f(x) = ?

One-third

What is the range of ?

all real numbers not equal to 0

all real numbers less than 6

all real number greater than 6

all real numbers

The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased?