Algebra 2 quiz

An angle has a reference angle of 25° and its terminal side lies in Quadrant II. What are a possible positive measure and negative measure for the angle?

155°, −205°

A researcher wants to study the math scores of high school students in the state of Florida. Select all the samples that are biased

Select all students in all Miami high schools. Send a voluntary on-line questionnaire to all Florida high school students

Find all solutions of the equation 2log x = log (5x − 6).

X=2,3

Which of the following is equivalent to 2/ 1 +√5 ?

√5-1 /2

Zhang walks in a straight line from the trail head at (0, 0). He travels at an average rate of 3 miles per hour in the direction 30° west of north. What are the coordinates of Zhang's location, relative to the trail head, after 4 hours?

(-6, 6√3 )

The mass of one sample of bacteria, in grams, has been growing according to the expression 8x + 1, where x is time in hours from now. Another sample of bacteria grew according to the expression 2x − 5. How long ago did the two samples have the same mass? What was their mass, in grams?

-4;.002

If cot(θ) = tan(__π 6), what is cos(θ)? Round your answer to the nearest hundredth

.5

Solve √x + √x + 2 = 2.

1/4

You roll a standard number cube 7 times. Assume that each number is equally likely to come up each time you roll. To the nearest tenth of a percent, what is the probability that a number less than 3 comes up exactly 4 of the 7 times?

12.8%

In a survey of students, 60% were in high school and 40% were in middle school. Of the high school students, 30% had visited a foreign country. If a surveyed student is selected at random, what is the probability that the student is in high school and has visited a foreign country?

18%

What is the average rate of change of the function y = 2 sin(1 / 2x) on the interval [0, π]?

2 / π

Today, high tide measured 7.5 ft and low tide measured 3 ft. What is the amplitude of a cosine function modeling the depth of the water in feet as a function of time in hours?

2.25 ft

Select all the possible measures for the angle shown.

210 and A. −17π / 6

A car is on a Ferris wheel with a radius of 20 feet. To the nearest foot, how far does the car travel over an angle of __π 3 radians?

21ft

A cylindrical pipe is 9 ft long and has a volume of 100 ft3. Find its approximate diameter to the nearest hundredth of a foot.

3.76ft

Evaluate the expression 1 − √3 − divided by 2√7 + x − 3 when x = −5.

4√2 + 5

The volume of a cube is 5√_____ 142.5 m3. Find the perimeter of its base to the nearest tenth of a meter.

5.6m

Multiply √2 (2√0.125 + √18 )

7

Three percent of the students at Lincoln High are in orchestra, 5% are in band, and 1% are in both. If a student is selected at random, what is the probability that the student is in orchestra or band?

7%

A census reports that the mean retirement age is 68.3 years. In a random sample, the mean retirement age is 65.8 years. What is the mean of 68.3 years?

A parameter

The function f(x) = 2,000(1.05)x models a population of butterflies after x years. What will the population be in 7 years?

About 2,800

.A store offers a $30-off sale on bicycles and a 10% discount on the purchase price. Let x represent the price in dollars, and let f(x) = x − 30 and g(x) = x − 0.10x = 0.90x represent the discounts. Which function can the store manager use to find the final price?

F x g

Every third person on a list of soccer players is selected for a survey. What kind of sampling method is used?

Systematic

A card is selected at random from the set of cards below. A sample space for the experiment is {A, B, C, D, E, F, G}. Let W represent the event "the card is white", let S represent "the card is shaded", and let L represent "the number is less than 3". Select all the correct statements

The event W is {A, C, G}. The event W and L is {A, G}. P(W or S) = 1 P(W and S) = 0

The graph of f is given. How are f and g(x) = 2cos(πx) different?

The period of f is twice as long as the period of g

The third-floor residents of a building were polled about whom they would vote for in the upcoming city election for comptroller. What are the sample and the population in this poll?

The population is the registered voters in the city; the sample is the residents of the third floor.

A sample of juniors and seniors were asked if they plan to attend college. One surveyed student is selected at random. Select all the correct statements. Percents are rounded.

The probability the student is a junior is 52%. The probability the student plans to attend college is 70%. Given the student is a junior, the probability the student plans to attend college is 68%.

Which is an example of a quantitative variable?

The weight of a backpack

A student wants to know the average age of teachers at her high school. She records the ages of 15 randomly selected teachers at the school. Is this sampling method biased or unbiased?

Unbiased

A company's revenue, in thousands of dollars, can be modeled by the expression 2log2 (2x), while their expenses are modeled by the expression x, where x is number of units produced, in hundreds. Find the quantities they could produce to break even, by graphing. Round answers to the nearest thousandth.

X=.620, 8

What is the solution to the equation log4(5x+9=3? Round to the nearest thousandth.

X=11

For the function f(x) = −4 ⋅ (0.3)x + 1, identify the y-intercept and asymptote.

Y: -3 Asym: y=1

Function f is a cosine function with period 8π, amplitude 2, and a local maximum at f(0) = −1. What is the equation of the midline of the graph of f?

Y=-3

Which of the following is an increasing function?

f(x) = 1 + √x

The logarithmic function f(x) = ln x is transformed to g(x) = Inx + 5. Which of the following is true?

f(x) is translated up 5 units.

Which of the following functions has a faster average rate of change on the interval [0, 2] than the function shown in the graph?

f(x)=48(0.8)^x

Which function g represents the exponential function f(x) = 5x after a vertical stretch by a factor of 2 and a reflection across the x-axis?

g(x) = −2 ⋅ (5)^x

Use the properties of logarithms to write the expression 2log 5 + 5log x as a single logarithm

log (25 ⋅ x^5)

What are the sine and cosine of 4π / 3 ?

sin 4π / 3 = - √3 / 2 cos 4π / 3 = - 1 / 2

Solve √(x − 1)2 = 1 − x.

x ≤ 1

Solve √4x − 16 = 3 − √x − 4

x=5

What function is the inverse of the exponential function y = 4x?

y = log4 (x)

The graph of y = √x has been translated to the right 3 units and down 9 units. What is the equation of the translated graph?

y = −9 + √x − 3