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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

The shaded region shown represents the solutions to which inequality?

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

A jar has 470 marbles. The number of blue marbles is 20% of the number of red marbles. The number of green marbles is 22 more than the number of blue marbles. If there are no other colors, how many blue marbles are in the jar?

A64B94C128D235

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

The system of equations is

kx+3y=4

2x+(k+1)y=5

How many values of k make the system have no solution?

A0B1C2DInfinitely many

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

In triangle ABC, the measure of angle A is 32°, and the measure of angle B is 64°. The angle bisectors of angles B and C intersect at point P. What is the measure of angle BPC?

A106°B116°C122°D138°

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

4x² - 12x - 72 = 0

What is the product of the solutions to the given equation?

A-72B-18C18D72

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

A city’s population is modeled by P(t)=250,000

, where t is years after 2010. In what year does the population first exceed 300,000?

A2016B2017C2018D2020

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

If f(x)=3x−4 and g(x)=

+1, what is f(g(2))?

A11B15C21D25

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

The average of 5 numbers is 12. Four of them are 8, 10, 14, and 15. What is the fifth number?

A11B12C13D14

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

A bag has 5 red and 3 blue marbles. Two are drawn without replacement. Given that the first is red, what is the probability that the second is blue?

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

A company makes products A and B. Profit is 20x+30y, subject to x+y≤10,

2x+y≤16, x≥0, y≥0. What is the maximum profit?

A240B280C300D320

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

If 3(2x−5)−4(x−2)=2(x+7)+k has infinitely many solutions, what is k?

A−21B−7C7D21

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

A scientist studied the effects of mixing two chemicals, chemical A and chemical B, by gradually adding more of each chemical to a mixture of the two chemicals. At the start of the study, the mass of chemical A in the mixture was equal to the mass of chemical B in the mixture. From the start of the study to the end of the study, the mass of chemical A in the mixture increased by 2,400% and the mass of chemical B in the mixture increased by 280%. At the end of the study, approximately how many times greater was the mass of chemical A in the mixture than the mass of chemical B in the mixture?

A21.20B6.58C26.80D8.57

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

The function is defined by , where and are integer constants and . The functions and are equivalent to function , where and are constants. Which of the following equations displays the y-coordinate of the y-intercept of the graph of in the xy-plane as a constant or coefficient?

II.

AII onlyBNeither I nor IICI and IIDI only

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

In the xy-plane, the graph of the given equation is a circle. What is the length of the circle's diameter?

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

The polynomial is defined as the product of the given polynomials, and . What is the coefficient of in ?

A76B104C28D180

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

Distance (miles): 0.15, 0.25, 0.35

Average time (minutes): 6, 10, 14

The table gives the average time , in minutes, it takes Mariana to travel a certain distance , in miles. Which equation could represent this linear relationship?

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

One solution to the given equation can be written as , where is a constant. What is the value of ?

A24B3C12D48

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

At a conference hall, there are a total of 300 visitors. Each visitor is located in either room A, room B, or room C. If one of these visitors is selected at random, the probability of selecting a visitor who is located in room A is 0.42 and the probability of selecting a visitor who is located in room B is 0.18. How many visitors are located in room C?

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

The population of a certain city doubled every 60 years from 1742 to 1982. The population of this city was 320,000 in 1982. What was the population of this city in 1742?

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

The function g is defined by $g(x)=x+\frac {17} {t-x}$ , where t is a constant. In the xy-plane, the graph of y=g(x) passes through the point (24,0). What is the value of g(0)?

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

The scatterplot shows the relationship between two variables, x and y. A line of best fit for the data is also shown.

At x=5, how many units greater is the y-value predicted by the line of best fit than the actual y-value of the data point?

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Chapter 1 · 2026.9 : B-B(analysis included) · MATH 2

5x+y=a

6x+5y=b

In the given system of equations, a and b are constants. The graphs of these equations in the xy-plane intersect at the point (x,4). What is the value of 5b-6a?

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MATH 2 · 22 questions