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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

In the ancient Roman measurement system, a legua was a unit of length equal to 7,500 pedes. A rectangular field measures 2.5 leguas in length and 1.2 leguas in width. What is the area of the field in square pedes?

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

The function f is defined by f(x) = 6x + 24. and the function g is defined by g(x) = 2x - 5.

If f(g(x)) = 42, what is the value of x?

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

A solid cube with an edge length of 7 inches is melted and recast into a rectangular prism with a length of 14 inches and a width of 7 inches. What is the height of the rectangular prism, in inches?

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

The product of 2 times a positive number x decreased by 3 and 3 times the number increased by 4 is 198. What is the value of x?

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

The line passing through points (7, 1) and (0, 4) is perpendicular to a second line that passes through (c, 0) and (9, 7). What is the value of c?

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

The table shows four values of x and their corresponding values of y. There is a linear relationship between x and y. Which of the following equations represents this relationship?

Ay+8x=54B16x+2y=100C4x+0.5y=22D8x−y=54

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

The equation y = -4.9(x - 8.7)²+ 11900 gives the estimated height above ground, y, in meters, of a plane, where x is the number of seconds since it started a parabolic maneuver. Approximately how many seconds after starting this maneuver will the plane return to its initial starting height?

A8.7B17.4C26.1D34.8

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

The shaded region shown represents the solutions to which inequality？

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

In the figure，a hollow steel pipe is in the shape of a right circular cylinder．The steel pipe has an outside diameter of 60 inches，a wall thickness of

inches，and a height of 144 inches．Which of the following is closest to the volume，in cubic inches，of the wall of this steel pipe？

A177B565C2700D16788

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

In a right triangle, the two acute interior angles are P and Q. It is known that sin P/cos Q=k. Which of the following is true for all such right triangles?

Ak=1Bk=1/2Ck depends on side lengths of triangleDk equals sin(P)

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

When an object is dropped, its vertical position is modeled by function

, where k(t) is height in meters and t is time in seconds. What is the time t, in seconds, when the height equals 175 meters?

A5B6C7D8

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

At a warehouse: Number of box‑A items is 270% of box‑B items. The number of box‑A items is 80% of box‑C items. Box‑B has 120 units. Approximately how many percent of box‑B’s quantity is box‑C’s quantity?

A213%B216%C238%D338%

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

In triangle

is parallel to

，and

．What is the length of

？

A153B34C26D18

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

For the linear function

and

．Which equation defines

？

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

A computer program models the total mass of the population of a certain type of algae after the algae was placed in an environment where it has no natural predators．According to the model，the estimated total mass of this population of algae at the end of every 6－hour period is 129％greater than the estimated total mass of this population of algae at the end of the previous 6－hour period，and the estimated total mass of this population of algae is 613.90 grams after 18 hours． Which equation best represents this model，where

is the estimated total mass，in grams，of the population of algae after

hours，and

？

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

What is the minimum value of

for

？

A-12B-6C-5D6

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

Each rock in a collection of 70 rocks was classified as either igneous，metamorphic，or sedimentary，as shown in the frequency table．

What is the probability of selecting igneous rock?

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

Given h(x)=5|x-2|. What is the minimum value of h(x) for -3 x1?

A-25B-5C5D25

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

and

18, find k.

A2B4C6D8

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

The ratio s to t is equivalent to the ratio 1 to 3 ．If the value of s is multiplied by 25 ，how will the value of t change to maintain this ratio？

AIt will be multiplied by 1.BIt will be multiplied by 22.CIt will be multiplied by 25 ．DIt will be multiplied by 28.

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

Objects X, Y, and Z have a total mass of 8500 grams. It is known that the mass of object X is 4300% greater than the mass of object Z. The mass of object Z is 20% of the mass of object Y. If the sum of the masses of object X and object Y is equal to the product of a constant w and the mass of object Z, what is the value of w?

A48B49C50D51

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Chapter 9 · 2026.8 : A-A(analysis included) · MATH 2

A circle with equation （where r>0）intersects the line y=2x+1 at two distinct points A and B. If the distance between points A and B is , what is the value of r ?

$\sqrt {\frac {130} {5}}$

MATH 2 · 22 questions