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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

The function

is defined by

. What is the value of

when

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

A teacher is creating an assignment worth

points. The assignment will consist of questions worth

point and questions worth

points. Which equation represents this situation, where

represents the number of

-point questions and

represents the number of

-point questions?

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

Which expression is equivalent to

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

, what is the value of

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

For the absolute value function in the system:

The function slants sharply down then up (from left to right), passing through the points: , , .

For the linear function in the system:

The function slants sharply up from left to right, passing through the points: , .

The graph of a system of an absolute value function and a linear function is shown. What is the solution to this system of two equations?

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

The table shows the number of dogs walked by a dog walker each week for weeks. What is the mean number of dogs walked per week for these weeks?

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

The ratio

is equivalent to the ratio

. What is the value of

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

As part of a science experiment on evaporation, Ella measured the height of water in a glass over a period of time. The function

gives the estimated height, in centimeters (cm), of the water in the glass

days after the start of the experiment. Which of the following is the best interpretation of

in this context?

AThe estimated height, in cm, of the water at the start of the experiment.BThe estimated height, in cm, of the water at the end of the experiment.CThe estimated change in the height, in cm, of the water each day.DThe estimated number of days for all the water to evaporate.

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

The table shows three values of and their corresponding values of for the equation . In the table, is a constant. What is the value of ?

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

The figure shows the xy-plane with the quadrants labeled. The graph of a linear function (not shown), where , is a line completely contained in only quadrants and of the xy-plane. Which of the following could define the function ?

DNone of these

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

Angle upper is a right angle. The length of side is . The length of side is . The length of side is . What is the value of in the triangle shown?

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

What is the positive solution to the given equation?

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

A number

greater than a positive number

. A number

less than the number

. The number

is how many times the number

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

What is a solution to the given equation?

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

Triangle

is similar to triangle

, where

and

correspond to

and

, respectively. The length of each side of triangle

times the length of its corresponding side in triangle

, where

is an integer greater than

. The measure, in degrees, of angle

can be represented by the expression

, where

is an integer. Which of the following expressions represents the measure, in degrees, of angle

for all possible values of

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

A conservation specialist hung artificial nesting structures, each shaped like a right rectangular prism, for a species of native duck. Each structure has a height of

inches. The length of each structure’s base is

inches, which is

inch more than the width of the structure’s base. Which function

gives the volume of each structure, in cubic inches, in terms of

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

A total of

toothpicks of equal length were used to construct two types of figures: triangles and squares. The triangles and squares were constructed so that no two figures had a common side. The equation

represents this situation, where

is the number of triangles constructed and

is the number of squares constructed. What is the best interpretation of

in this context?

AIf 25 triangles were constructed, then 35 squares were constructed.BIf 25 triangles were constructed, then 35 toothpicks were used.CIf 35 triangles were constructed, then 25 squares were constructed.DIf 35 triangles were constructed, then 25 toothpicks were used.

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

A triangle has a base length of 60 centimeters and a height of 40 centimeters. What is the area, in square centimeters, of the triangle?

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

The line slants sharply up from left to right.

The line passes through the following points: (0,3) and (1,5)

Line j is shown in the xy-plane. Line k (not shown) is parallel to line j. What is the slope of line k?

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

A real estate company offers a series of three webinars. 3125 people attended the first webinar. 48% of the people who attended the first webinar attended the second webinar. 35% of the people who attended the first and second webinars attended the third webinar. How many people attended all three webinars?

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

If $12+\frac {1} {4}(7x-5)=\frac {3} {4}(7x-5)$ , what is the value of 7x-5?

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Chapter 21 · 2025.12 : B-A(analysis included) · MATH 1

$f(x)=x+3$

$g(x)=7{x}^{2}-rx+63$

The functions f and g are given. In function g, r is a constant. If $f(x)\cdot g(x)=7{x}^{3}+189$ , what is the value of r?

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