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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

A gym charges a one-time initiation fee and a monthly fee. The equation y=30x+75 gives the total cost for x months. What is the one-time initiation fee?

A30B75C105D0

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

Data set P is: 8,12,15,17,20,22,22,25,30Data set Q is created by replacing the number 30 in data set P with 18.Which of the following statements is true about the means and medians of data set P and data set Q?

AThe mean of P is greater than the mean of Q, and the median of P equals the median of Q.BThe mean of P is greater than the mean of Q, and the median of P is greater than the median of Q.CThe mean of P equals the mean of Q, and the median of P equals the median of Q.DThe mean of P is less than the mean of Q, and the median of P is less than the median of Q.

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

One of the two equations in a system of linear equations is given: y=3x−12.The system has infinitely many solutions. Which equation could be the second equation in this system?

Ay−3x=−12By−3x=12Cy−5x=10Dy−5x=0

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

The given equation relates the resistance R, in ohms, of a wire to its length l, in meters, and its cross-sectional area A, in square meters. Which equation correctly expresses the length l, in meters, of the wire in terms of its resistance R, in ohms, and its cross-sectional area A, in square meters?

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

A research team is studying a rare tree species, “ancient nanmu,” in a pristine forest. Studies show that for tree ages over 50 years, the estimated number of surviving trees decreases by 8% for each additional year. The model can be written in the form f(t)=a⋅b^t, where and are constants, is the tree’s age in years (t≥50), and is the estimated number of surviving trees at age . The model estimates that there are 320 trees of this species at age 70. Which function best represents this model?

f(t)=320(0.92)^t-70

f(t)=320(1.08)^t-70

f(t)=320(0.08)^t-70

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

A quality control manager selected 2 random samples of a certain brand of light bulbs to estimate the average lifespan of this type of bulb (in hours). The manager recorded the total number of hours each bulb operated before burning out.Based on the first sample, the manager estimated that the average lifespan of this bulb type is 1200 hours, with an associated margin of error of 30 hours.Based on the second sample, the manager estimated that the average lifespan is 1220 hours, with an associated margin of error of 75 hours.Assuming the margins of error were calculated in the same way, which of the following best explains why the first sample had a smaller margin of error than the second sample?

AThe first sample contained fewer light bulbs than the second sample.BThe first sample contained more light bulbs than the second sample.CThe first sample had a shorter average lifespan than the second sample.DThe first sample had a longer average lifespan than the second sample.

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

The ratio a to b is equivalent to the ratio 5 to 9. If a=15k, what is the value of b in terms of k?

27k

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

What is the x-intercept of the graph of y=

in the xy-plane, where c and d are positive constants?

C(0,-32)D(32,0)

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

An auditor examined a random sample of 450 invoices from a total population of 12,000 invoices to estimate the percentage of invoices that contained calculation errors. Based on the sample, the auditor estimated that 12% of the 12,000 invoices had errors, with a margin of error of 3.5%. Which of the following is the most appropriate conclusion?

AIt is plausible that between 1,020 and 1,860 of the invoices in the population contain errors.BIt is plausible that fewer than 1,020 of the invoices in the population contain errors.CExactly 1,440 of the invoices in the population contain errors.DIt is plausible that more than 1,860 of the invoices in the population contain errors.

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

A baker mixed x kilograms of 15% sugar flour with y kilograms of 25% sugar flour to create a 20% sugar flour mixture. Which equation best represents this situation? (Assume the masses of the flours are additive.)

A0.15x+0.25y=20(x+y)B0.15x+0.25y=0.20(x+y)C1.5x+2.5y=20(x+y)D1.5x+2.5y=2.0(x+y)

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

In the right triangle diagram below, if sinA=0.42, what is the value of cosC? (Note: Figure not drawn to scale.)

A0.42B0.58C0.82D0.18

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

How many solutions does the given system of equations have?

y=3x+7

y=3x−4

AZeroBExactly oneCExactly threeDInfinitely many

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

The expression (5x+4)(2x−3) can be written in the form ax²+bx+c, where a, b, and c are constants. What is the value of a+b?

A7B9C1D3

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

If x and y are numbers greater than 1 and

is equivalent to

, for what value of t is

equal to y?

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

The value of a vintage watch increased by 125% from the end of 2018 to the end of 2019 and then decreased by 28% from the end of 2019 to the end of 2020. What was the net percentage increase in the value of the watch from the end of 2018 to the end of 2020?

A62%B87%C97%D153%

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

If $64{x}^{2}$ =−48x+27, what is the value of 8x+3, where 8x+3>0?

A6B

D10

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

Triangles PQR and STU are similar, where P corresponds to S, and Q corresponds to T. The measure of angle P is 42°, and PQ=6. Which of the following statements must be true?

I. The measure of angle S is 42∘

II. ST=6

AI onlyBII onlyCI and IIDneither I nor II

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

A chemist analyzes a sample and uses the equation 2.500a+3.000b=75.0 to model the volumes of two chemicals, where a (in cm³) is the volume of chemical A and b (in cm³) is the volume of chemical B. If the volume of chemical B is 10.5cm³, what is the estimated volume of chemical A?

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

The expression (2x+3)(4x−5) can be written in the form ax²+bx+c, where a, b, and c are constants. What is the value of a+b?

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

A line in the xy-plane passes through the points (6,2) and (0,5), and also through the point (d,0). What is the value of d?

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

A number m is at most 15 less than 2 times the value of n. If the value of n is 10, what is the greatest possible value of m?

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Chapter 16 · 2026.3 : B-A(analysis included) · MATH 2

The mass of object X is 250% of the mass of object Y, and the mass of object X is 0.5% of the mass of object Z. If the mass of object Z is q% of the mass of object Y, what is the value of q?

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MATH 2 · 22 questions