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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

What is the minimum value of the given function?

A-64B-10C

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

One gallon of paint will cover 160 square feet of a surface. A room has a total wall area of

square feet. Which equation represents the total amount of paint

, in gallons, needed to paint the walls of the room twice?

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

In the given equation,

is a constant. The equation has no solution. What is the value of

A0B

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

How many solutions are there to the given system of equations?

AThere is exactly 1 solution.BThere are exactly 2 solutions.CThere are exactly 3 solutions.DThere are no solutions.

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

In the figure, line AB is parallel to line CD, and line AD intersects line BC at point E. If y = 119 and z = 115, what is the value of x ?

A54B65C126D144

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

In triangles and shown, is parallel to and . What is the value of $\sin {x}$ in triangle ?

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

Line

in the

-plane has a slope of

and passes through the point

. Which equation defines line

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

A bookstore is giving away free books every day. The equation

gives the number of free books,

, that remain to be given away after

days. Which of the following is the best interpretation of

in this context?

AThe bookstore has 14 free books to give away.BThe bookstore will give away 14 free books in 12 days.CIt will take 14 days to give away all the free books.DIt will take 168 days to give away 14 free books.

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

A zoologist observed the nests of wood ducks in an area. Each year, the zoologist recorded the number of eggs in each of the first 35 nests that were observed and created a frequency table for the data set. Which of the following frequency tables represents the data set with the smallest standard deviation?

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

A community organization surveyed a random sample of residents of the community to estimate the percentage of residents who visit their local library at least once per month. From the survey, the organization estimates that 19% of residents of the community visit their local librapy at least once per month, with an associated margin of error of

. The organization repeated the survey with a random sample of residents that was double the original sample size. Assuming the margins of error are calculated in the same way for both studies, which of the following is true about the margin of error associated with the estimate from the larger sample?

AThe margin of error is less than

.BThe margin of error is

.CThe margin of error is greater than

.DThe margin of error is

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

The equation

gives the estimated number of employees at a certain business, where

is the number of years since the business opened. Which of the following is the best interpretation of the number 5 in this context?

AThe estimated number of employees when the business openedBThe increase in the estimated number of employees each yearCThe number of years the business has been openDThe percent increase in the estimated number of employees each year

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

The function

is a quadratic function. In the

-plane, the graph of

has a vertex at

and passes through the points

and

. What is the value of

A76B124C192D220

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

What is the minimum value of the given function?

A-169B

C-4D-1

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

The graph of x² - 4x + y² + 2y = k in the xy-plane is a circle, where k is a constant. If the radius of the circle is 3, what is the value of k?

A2B4C6D8

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

Data set A consists of 6 values and has a mean of 30. Data set B is created by adding 5 to each value in data set A. Data set C contains twelve values and is formed by combining data sets A and B. What is the mean of data set C?

A32.5B33C33.5D34

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

What is the solution set of the given equation?

+ 3 = x + 4

A{-3}B{3}C{-3, 3}D{-3, 0, 3}

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

The width of a rectangular garden is x meters. The length of the garden is 5 meters longer than its width. Which of the following expresses the perimeter, in meters, of the garden in terms of x?

A2x + 5B4x + 10C

x² + 5.

x² + 5x

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

A linear model estimates the population of a city from 1995 to 2019. The model estimates the population was 48 thousand in 1995, 208 thousand in 2015, and x thousand in 2019. To the nearest whole number, what is the value of x?

A240B244C248D252

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

A researcher investigated two species of insects: a predator and its prey. At the start of a month, there was an equal number of the two species. At the end of the month, the number of prey had increased by 1100% of the number of prey at the start of the month, and the number of predators had increased by 200% of the number of predators at the start of the month. The number of predators at the end of the month was q% less than the number of prey at the end of the month. What is the value of q?

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

The table shows three values of $x$ and their corresponding values of $y$ . There is a quadratic relationship between x and y. An equation that represents this relationship can be written as $y=24{x}^{2}-bx-128$ , where b is a constant. What is the value of b ?

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

Each angle of $\Delta ABC$ is congruent to one of the angles of $\Delta QRS$ . If AB=56，BC=84，AC=112 and RS=336, what is one possible value for the perimeter of $\Delta QRS$ ?

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Chapter 14 · 2026.5 : A-B(analysis included) · MATH 2

At a library, there are 400 books. Each book is either fiction, nonfiction, or biography. If a book is selected at random, the probability it is fiction is 0.55, and the probability it is nonfiction is 0.3. How many books are biographies?

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MATH 2 · 22 questions