Answers NY-Algebra II Term 2 HillcrestUnit Test

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Vince wrote the sequence below.Which of the following explains whether the sequence is geometric?

The sequence is geometric because was added to each term to get the next term.

The sequence is geometric because was multiplied to each term to get the next term.

The sequence is not geometric because was added to each term to get the next term.

The sequence is not geometric because 3 was multiplied to each term to get the next term.

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The tables show functions representing the path of two rockets launched by different science lab groups.

Since the maximums occurred at the same x-value, the rockets followed the same path.

Since the x-intercepts are the same for both functions, the rockets followed the same path.

The rockets were in the air for the same amount of time, but the rocket for group B went higher in the air.

The rockets traveled the same height in the air, but the rocket for group B was in the air for a longer time.

Which characteristics do the functions have in common? Select two options.

range

domain

minimum

x-intercept

y-intercept

Xavier exercises by riding his bike. During his first week of training, he rides a total of 15 miles. Each week he increases the number of miles biked by 0.4 miles. How many total weeks will it take Xavier to first bike more than 500 miles total?

What is the solution to the inequality ?

–3 > n > –2

2 < n < 3

n < –3 or n > –2

n < 2 or n > 3

Jamilla solved the inequality and graphed the solution as shown below. What is the value of b and the missing symbol in Jamilla’s inequality?

b = –1,

b = 1,

A teacher gave his students the four graphs below. Which graph represents a geometric sequence?Graph AGraph BGraph CGraph D

graph A

graph B

graph C

graph D

Which of the following is an arithmetic sequence?

mc012-1.jpg

mc012-2.jpg

mc012-3.jpg

mc012-4.jpg

Within the set of whole numbers, one set of numbers satisfies the recursive formula , when . What are the first two terms of the sequence?

3, 6

6, 30

2, 6

2, 3

Which of the following can be used to evaluate the series ?

mc012-2.jpg

mc012-3.jpg

mc012-4.jpg

mc012-5.jpg

Victoria had $200 in her account at the end of one year. At the first of each subsequent year she deposits $15 into the account and earns 2% interest on the new balance, compounded annually. Which recursive formula represents the total amount of money in Victoria’s account at the end of the nth year?

mc023-1.jpg

mc023-2.jpg

mc023-3.jpg

mc023-4.jpg

Which of the following is true regarding the sequence below?

The sequence is arithmetic because there is a common difference of .

The sequence is arithmetic because there is a common difference of 1.

The sequence is not arithmetic because there is no common difference between the values of n.

The sequence is not arithmetic because there is no common difference between the values of an.

A worker has four different job offers, each with a contract for seven years. Assuming the job descriptions are identical, for which offer will the worker earn the least over seven years?

a starting salary of $125,000 with a 2% increase each year

a starting salary of $110,000 with a 3% increase each year

a starting salary of $98,000 with a 8% increase each year

a starting salary of $105,000 with a 4% increase each year

Which system is equivalent to ?

StartLayout Enlarged left-brace 1st Row 3 x squared minus 4 y squared = 25 2nd row 12 x squared + 4 y squared = 22 EndLayout

StartLayout Enlarged left-brace 1st Row 3 x squared minus 4 y squared = 25 2nd row negative 12 x squared + 4 y squared = 22 EndLayout

StartLayout Enlarged left-brace 1st Row 6 x squared minus 8 y squared = 25 2nd row negative 6 x squared minus 2 y squared = 11 EndLayout

StartLayout Enlarged left-brace 1st Row 6 x squared minus 8 y squared = 50 2nd row negative 6 x squared minus 2 y squared = 11 EndLayout

The vertex of a parabola that opens downward is at (0, 4). The vertex of a second parabola is at (0, –4). If the parabolas intersect at two points, which statement must be true?

The second parabola opens downward.

The second parabola opens upward.

The points of intersection are on the x-axis.

The points of intersection are of equal distance from the y-axis.

An arithmetic series is represented by the equation . Which of the following is true?

The value of the series is greater than the value of the 24th number in the series.

The value of the series is between the values of the 1st and 24th numbers in the series.

The value of the series is equal to the value of the 1st or 24th numbers in the series.

The value of the series is less than the value of the 1st number in the series.

A store uses the expression –2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue? (Revenue = price number of backpacks.)

$9.00 per backpack gives the maximum revenue; the maximum revenue is $32.00.

$12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.

$12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.

$15.00 per backpack gives the maximum revenue; the maximum revenue is $20.00.

The height of a toy rocket that is shot in the air with an upward velocity of 48 feet per second can be modeled by the function , where t is the time in seconds since the rocket was shot and f(t) is the rocket’s height in feet. What is the maximum height the rocket reaches?

16 ft

36 ft

48 ft

144 ft

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, n (in millions), being produced in t years?

n = 1.5 t squared + 1.25

n = 1.5 t + 1.25

n = 1.25 times 2.5 Superscript t

The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0, 7). Which statement must be true?

The circle has a radius greater than 7.

The circle has a radius equal to 7.

The slope of the line is equal to 7.

The slope of the line is not equal to 7.

Madyson borrows $1,200 from her father to purchase airplane tickets. The first week after borrowing the money, Madyson repays her father $50. Each week after that, she is able to repay her father $2 more than the previous week, except in the last week, when she finishes repaying the loan. How much is Madyson’s final payment?

$78

$82

$84

$88

If , which recursive formula could represent the sequence below?..., 24, 88, 664, 8408, ...