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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

A snack company advertises that bags of pretzels produced by the company weigh, on average, 1 pound each. To test this, Sam selected at random 30 bags of pretzels produced by the company and weighed each bag. Based on his measurements, Sam estimated that for all bags of pretzels produced by the company, the average weight per bag is 1.02 pounds, with a margin of error of 0.05 pounds. For all bags of pretzels produced by the company, which of the following is the most appropriate conclusion about the average weight w, in pounds, per bag?

Aw=1.02B0.97

1.02C0.97

1.07D1.02

1.07

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

A total of 3 equilateral pentagons each have side length p units. A total of 2 squares each have side length s units. The sum of the perimeters of all these pentagons and squares is 136 units. Which equation represents this situation?

A12 p+10 s=136B2p+3s=136C3p+2s=136D15p+8s=136

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

A company conducted a study concerning the time spent on extracurricular activities by students in grades 6,7 , and 8 and their level of school spirit. A total of 80 students were selected at random from all students in grades 6,7 , and 8 in a large school district in the US. The selected students were asked to report their level of school spirit as either low, medium, or high. The table summarizes the distribution of the selected students by grade.

If the results of the study suggest a relationship between the selfreported level of school spirit and the amount of time spent on extracurricular activities by students in grades 6,7 , and 8 , which of the following aspects of the study will prevent the results from being generalized to all students in grades 6,7 , and 8 in the US?

AThe selected students are not all from the same school.BThe number of selected students is too small.CThe number of selected students from each grade is different.DThe students were not selected at random from all students in grades 6,7 , and 8 in the US.

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

A circle in the xy-plane has its center at (-2,-5). Line k is tangent to this circle at the point (-6,-6). What is the slope of line k ?

A-4B-1/4C1/4D4

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

Triangle ABC is similar to triangle DEF, where angle A corresponds to angle D and angle C corresponds to angle F. Angles C and F are right angles. If tan A=255/32, what is the value of sin D?

A32/257B255/257C257/255D257/32

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

Circle K has a radius of 8 millimeters mm. Circle L has an area of 144mm ². What is the total area, in mm ², of circles K and L ?

A20

B40

C80

D208

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

For a study, a research team measured the heights of 240 king penguins from the Crozet Islands and 120 king penguins from the Falkland Islands. The research team determined that the mean height of the 240 king penguins from the Crozet Islands was 86 centimeters and the mean height of the 120 king penguins from the Falkland Islands was 92 centimeters. What was the mean height, in centimeters, of all 360 king penguins the research team measured for this study?

A87B88C89D90

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

A chemist combines 15 grams of compound A, 35 grams of compound B , and x grams of compound C . The resulting mixture has a mass of 105 grams. What is the value of x?

A15B20C35D55

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

Carmen needs at least 100 signatures to submit a petition. If Carmen already has 83 signatures, what is the minimum number of additional signatures Carmen needs to submit the petition?

A17B73C83D183

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

Each of 185 flowers can be classified as one of three colors, as shown in the frequency table.

If one of the flowers is selected at random, what is the probability of selecting a flower of color Y?

A4/185B66/185C115/185D181/185

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

The function f(x)=-40 x+340 gives the predicted height above the ground f(x), in feet, of a model airplane x minutes after it begins to descend. What is the predicted height above the ground, in feet, of the model airplane 3 minutes after it begins to descend?

A120B220C300D460

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

f(x)=1.24x+46

The given function f models the number of marine nematode species at a North Atlantic Ocean site with a latitude of x degrees north N, where 10x60. Which statement is the best interpretation of "f(21.8) is approximately equal to 73 " in this context?

AAt a North Atlantic Ocean site with a latitude of 73

N, the estimated number of marine nematode species is approximately 21.8 .BAt a North Atlantic Ocean site with a latitude of 60

N, the estimated number of marine nematode species is approximately 73 .CAt a North Atlantic Ocean site with a latitude of 21.8

N, the estimated number of marine nematode species is approximately 73 .DAt a North Atlantic Ocean site with a latitude of 10

N, the estimated number of marine nematode species is approximately 21.8 .

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

If 8(5-2 x)+3=7(5-2 x)+18, what is the value of 5-2 x?

A-15B-5C5D15

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

x ²+10=10+x ²

How many distinct real solutions does the given equation have?

AZeroBExactly oneCExactly twoDInfinitely many

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

A rectangle has a perimeter of 36 inches. If the sum of the lengths of three sides of the rectangle is 21 inches, what is the length, in inches, of the fourth side?

A3B57C15D36

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

2.5x+2.2y=9

7.5 x+6.6 y=27

How many solutions does the given system of equations have?

Exactly one

Exactly two

Infinitely many

Zero

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

A researcher observes a sample of a nuclide. An exponential model estimates that the mass, in grams, of the sample decreases by 23% every 21.87 minutes. Which of the following equations could represent this model, where M is the estimated mass, in grams, of the sample t minutes after the researcher began observing the sample?

$M=100{（0.77）}^{\frac {t} {21.87}}$

$M=100{(0.23)}^{\frac {t} {21.87}}$

$M=100{(0.23)}^{t+21.87}$

$M=100{(0.77)}^{t+21.87}$

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

For a certain type of rope, the equation y=900ax², where a is a constant, gives the estimated breaking strength y , in pounds, of a rope with a circumference of x inches. Based on this equation, if a rope of this type has a circumference of 1.25 inches, it has an estimated breaking strength of 1,968.75 pounds. What is the estimated breaking strength, in pounds, of a rope of this type that has a circumference of 4.50 inches?

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

The function f is defined by f(x)=bx+c, where b and c are positive constants. In the xy-plane, the graph of y=f(x) passes through the point (0,32) . What is the value of f(0)?

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

The positive number a is 3,100 % of the number c, and c is 25% of the number b. If a-b=wc, where w is a constant, what is the value of w?

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

-x²+bx-36=0

In the given equation, b is an integer. The equation has no real solutions. What is the least possible value of b ?

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 2

7 x+14=7 x+k

In the given equation, k is a constant. The equation has infinitely many solutions. What is the value of k?

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MATH 2 · 22 questions