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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

The circle shown has center Q, and points B, C, and D lie on the circle. Line m is tangent to the circle at point C, and line m is parallel to line segment BD (not shown). Line DQ (not shown) intersects line m at point A, and line BQ (not shown) intersects line m at point P. If the length of line segment AQ (not shown) is 90 and the length of line segment AC is 72, what is the perimeter of triangle CPQ?

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

The concentration of calcium, in milligrams per liter (mg/L), is found for three samples of water: bottled, tap, and mineral. The concentration of calcium in the sample of bottled water is 48% of the concentration of calcium in the sample of tap water and 24% of the concentration of calcium in the sample of mineral water. If the concentration of calcium in the sample of tap water is 36 mg/L, what is the concentration of calcium, in mg/L, in the sample of mineral water?

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

The frequency table summarizes the low temperatures, in degrees Fahrenheit, for 21 days in December in a certain city.

Low temperature (°F)	Frequency
4	2
6	3
8	k
13	2
15	3
17	4
23	2

If the unique mode of the temperatures is 8°F, what is the median low temperature, in degrees Fahrenheit, for these 21 days?

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

${\{ }^{x+2y=27}_{4y-5=17}$

The solution to the given system of equations is (x,y). What is the value of 3x?

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

How many liters of a 30% saline solution must be added to 40 liters of a 10% saline solution to obtain a 20% saline solution?

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

3 and

, which of the following gives the solution(s) to

Ax=3 onlyBx=-7 and x=3Cx=-7 onlyDThere are no real solutions.

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

The function f is defined by f(x)=

, where a and b are positive constants. If f(2)=48 and f(4)=768, what is the value of f(3)?

A96B192C288D384

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

In the xy-plane, the equation of circle C is

. What is the radius of circle C?

A4B6C8D10

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

In the xy-plane, an angle

in standard position has a terminal side that passes through the point (12,-5). What is sin

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

A data set of 8 numbers has a mean of 50 and a standard deviation of 4. If every number is multiplied by 2 and then 6 is added to the result, what are the new mean and standard deviation?

AMean 100, SD 8BMean 106, SD 8CMean 106, SD 14DMean 100, SD 4

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

The graph of y=f(x) contains the point (4,7). The graph of g(x)=2f(x-1)-3 contains which of the following points?

A(4,11)B(3,11)C(5,11)D(5,14)

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

Pipe A can fill a tank in 6 hours, and pipe B can fill the same tank in 4 hours. Pipe C can drain the tank in 8 hours. Pipes A and B are both opened for 2 hours, and then pipe C is also opened. How many additional hours are needed to finish filling the tank?

C1D

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

Quinidra drove her car on a straight road to a certain location. The graph models Quinidra's distance, in miles, from her home as a function of time, in hours. Which of the following could the model describe?

AQuinidra drove away from her home at a constant speed for 1 hour, spent 4 hours at the location, then continued to drive away from her home at a constant speed for 1 hour.BQuinidra drove away from her home at a constant speed for 1 hour, spent 4 hours at the location, then drove back to her home at a constant speed for 1 hour.CQuinidra drove away from her home at an increasing speed for 1 hour, spent 4 hours at the location, then drove back to her home at a decreasing speed for 1 hour.DQuinidra drove away from her home at an increasing speed for 1 hour, drove at a constant speed for 4 hours, then drove back to her home at a decreasing speed for 1 hour.

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

In a computer application, the area of a figure on the screen increases over time. This area, in pixels, is given by the function , where

is the number of seconds after the area of the figure begins increasing. Which statement is the best interpretation of

in this context?

A2,048 seconds after the area of the figure begins increasing, its area is 7 pixels.B7 seconds after the area of the figure begins increasing, its area is 2,048 pixels.C0 seconds after the area of the figure begins increasing, its area is 2,048 pixels.D0 seconds after the area of the figure begins increasing, its area is 7 pixels.

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

A wireless phone company pays customers for trading in old smartphones. The payment p , in dollars, is the original retail price of a smartphone minus $135 for each year since the smartphone was released. Which equation represents this situation for a smartphone with an original retail price of $750 when it was released t years ago, where t is a whole number and

Ap=135-750tBp=750-135tCt=135-750pDt=750-135p

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

For the function f, the table shows four values of x and their corresponding values of f(x).Which of the following could describe this function?

ADecreasing exponentialBIncreasing exponentialCDecreasing linearDIncreasing linear

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

48x - 64y = 48y + 24

ry = 1/8 - 12x

In the system of equations above, r is a constant. If the system has no solution, what is the value of r?

A-84B-24C-28D28

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

A survey shows that 75 out of 240 students in a grade are taking Precalculus. If the entire school has 1,800 students and the proportion is the same, approximately how many students in the whole school are taking Precalculus?

A240B566C536D563

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

In a right triangle, if sin(A) = 3/5 for one acute angle A, what is the value of cos(B) for the other acute angle B?

A3/5B4/5C3/4D4/3

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

A line passes through points (4,‑1) and (‑2,5). Which of the following is perpendicular to this line?

Ay=x+2By=-x+3Cy=2x-1Dy=

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

The area of a rectangle is 105 square inches. If 4 inches is subtracted from the longer side and added to the shorter side, the resulting shape is a square. What is the original longer side of the rectangle?

A11B12C15D16

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 2

What is an equation of the graph shown?

MATH 2 · 22 questions