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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

For a linear function f, the table shows three values of x and their corresponding values of f(x). Which of the following could define f?

Af(x) = 3x + 2Bf(x) = 2x + 3Cf(x) = x + 3Df(x) = 2x

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

The height of a right circular cylinder is 36 inches, and the circumference of its base is 360 inches. Which expression represents the total surface area, in square inches, of the cylinder?

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

A bookstore is giving away free books every day. The equation f(x) = 162 - 9x gives the number of free books, f(x), that remain to be given away after x days. Which of the following is the best interpretation of f(18) = 0 in this context?

AThe bookstore has 18 free books to give away.BThe bookstore will give away 18 free books in 9 days.CIt will take 18 days to give away all the free books.DIt will take 162 days to give away 18 free books.

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

2x + 5y = 260

-2x + 3y = 260

The solution is (x, y). What is the value of 8y?

A0B65C260D520

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

, what is the value of 9x?

A5B10C45D54

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

A right circular cylinder has a volume of

cubic inches. The height of the cylinder is 2 times its radius. What is the radius, in inches, of the cylinder?

A26B52C676D1,352

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

In the given equation, k is a constant. The equation has no real solution. Which of the following could be the value of k?

A-92B0C46D55

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

Which expression is equivalent to

, where x > 9?

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

A figure has an area of 3,744 square inches. What is the area, in square feet, of this figure? (1 foot = 12 inches)

A26B61.2C312D734.3

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

The function f is defined by f(x) = (x - a)(x - b) (where a and b are integer constants). If f(39) > 0, f(42) < 0, and f(45) > 0, which of the following could be the value of a + b?

A42B44C81D83

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

One of the factors of

, where a and b are positive constants. Which of the following is a possible value of ab?

A7B14C18D36

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

The function N gives the estimated number of bacteria in a growth medium t hours after a study began:

. According to the function, the number of bacteria is estimated to increase by 50% every k minutes. What is the value of k?

A40B50C72D90

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

The equation 5|x - 6| = k, where k is a constant, has exactly one solution. Which of the following could be the value of

A-6 or 6B-6 onlyC0 onlyD6 only

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

39(x - n) = 39y + 39n

One of the equations in a system of two linear equations is given, where n is a positive constant. The system has no solution. Which equation could be the second equation in this system?

A4x - 4y = 8nB4x + 4y = 4nC4x + 4y = 8nD4x - 4y = 4n

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

In triangle ABC, the measure of angle B is

and BD is an altitude of the triangle. The length of

is 13 and the length of

is 19 greater than the length of

. What is the value of

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

A sample was selected at random from a population. Based on the sample, it is estimated that the mean value of a variable for this population is 146, with an associated margin of error of 1. Based on the estimate and associated margin of error, which of the following best describes the range of plausible values for the population mean?

Any value between 144 and 146

Any value between 145 and 147

Any value less than 145

Any value greater than 147

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

In the figure shown, lines L and K are parallel and line t intersects both lines. If $x>134$ , which of the following must be true?

$y<46$

$y>46$

$x+y<180$

$x+y>180$

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

0.1242 is 0.09% of the number b. The number b is 25% of the number c. What is the value of c?

Type your answer

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

The function f is defined by $f(x)={20}^{x}+b$ (where b is a constant). The graph of y = f(x) contains the points (0, 36) and (2, p + 19) (where p is a constant). What is the value of p?

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

A diver’s depth below the surface of the water, in meters, t minutes after entering the water is modeled by a quadratic function g(t). The diver reaches a maximum depth of 396.8 meters 8 minutes after entering the water, and the diver returns to the surface 16 minutes after entering the water. What is the estimated depth, in meters, of the diver 11 minutes after entering the water?

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

The equation ${x}^{2}+{y}^{2}-6x-10y-4n=0$ represents circle A in the xy-plane (where n is a constant). Point (5, 7) lies on circle B, which has the same center as circle A but twice the diameter. What is the value of n?

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Chapter 23 · 2025.12 : A-A (analysis included) · MATH 2

x+2y=28

2y=15

The solution to the given system of equations is (x,y). What is the value of x?

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MATH 2 · 22 questions