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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

Rectangles ABCD and EFGH are similar. The length of each side of EFGH is 7 times the length of the corresponding side of ABCD. The area of ABCD is 42 square units. What is the area, in square units, of EFGH?

A6B49C294D2,058

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

The scatterplot shows data set A, which consists of the weights y , in pounds, of a Labrador retriever puppy at various ages, x , in months. The equation of a line of best fit for the relationship in data set A can be written as y=-5.0+8.7x, where 2≤x≤6.

The puppy was weighed again at 9 months old and weighed 52 pounds. Data set B consists of all the data points in data set A as well as the data point 9,52. The equation of a line of best fit for data set B can be written as y = r + s x , where r and s are constants and 2≤x≤9. Assuming the equations of the lines of best fit are calculated in the same way, which of the following is the best estimate for the value of s ?

A5.8B8.7C13.7D17.7

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

A book-of-the-month club charges $19 for the first book purchased during the month and an additional $14 for each book after the first. Which equation describes this situation, where y is the total cost, in dollars, for books purchased during a month, x is the number of books purchased during the month, and x>0?

Ay=x+19By=14x+19Cy=14(x-1)+19Dy=(x-1)+19

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

A company developed a plan to set the selling price of a product. The company determined that for a selling price of $90.00 , zero products would be sold. For each $1.50 decrease in the selling price, the number of products sold would increase by one. For a revenue of exactly $1,348.50 , which of the following could be the number of products sold? revenue=price×number of products sold

A29B30C839D1,350

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

y = 3

- b x - 8

Which of the following equations is equivalent to the given equation, where b is a positive constant?

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

The equation d=8t+280 gives the distance d , in feet, from a reference point on the surface of Mars to a Mars rover, where t is the number of minutes after the start of a period of observation. By how many feet does the Mars rover's distance from the reference point increase over a period of 15 minutes?

A400B295C120D8

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

The table summarizes the distribution of age and assigned group for 120 participants in a study.

One of these participants will be selected at random. What is the probability of selecting a participant from group A, given that the participant is at least 10 years of age?

A5/24B5/16C9/20D5/8

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

Javier deposits $35 in a savings account at the end of each week. At the beginning of the 1st week of a year there was $800 in that savings account. How much money, in dollars, will be in the account at the end of the 8th week of the year?

A520B835C843D1080

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

The function f is defined by f(x)=ax-b, where a and b are constants. In the xy-plane, the graph of y=f(x) passes through the points( c,9) and( 2c,281), where c is a constant. Which of the following could be the value of b ?

A8B25C263D290

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

In the figure, line q is parallel to line r , and both lines are intersected by line s . If y = 2 x + 8 , what is the value of x ?

A22B30C60D70

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

The function g is defined by g(x)=27-x. What is the value of g(2)?

A2B25C27D29

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

Rectangles ABCD and EFGH are similar. The length of each side of EFGH is 9 times the length of the corresponding side of ABCD. The area of ABCD is 90 square units. What is the area, in square units, of EFGH?

A10B81C810D7,290

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

The equation x+y=1,440 represents the number of minutes of daylight (between sunrise and sunset), x , and the number of minutes of non-daylight, y , on a particular day in Grand Rapids, Michigan. If this day has 740 minutes of daylight, how many minutes of non-daylight does it have?

A700B740C1366D1440

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

A car travels at a speed of at least 40 miles per hour but no more than 50 miles per hour for a certain part of a trip. Which inequality represents this situation, where x is the speed of the car, in miles per hour, on this part of the trip?

40B

50C40

50D

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

12 , 21 , 23 , 33 , 39 , 42 , 44

The given list shows the 7 values in a data set. Which of the following data sets has the same median as the given list?

A21,24,25,28,33,33,39B12,15,28,33,35,39,39C21,28,33,39,41,43,46D22,25,36,38,49,50,54

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

The graph in the xy-plane models the possible combinations of length x , in meters (m), and width y , in meters, for a rectangle with a perimeter of 24 m. Which statement is the best interpretation of the point 10,2 in this context?

AThe length is 2 m less than the perimeter, and the width is 10 m less than the perimeter.BThe length is 2 m, and the width is 10 m.CThe length is 10 m, and the width is 2 m.DThe length is 10 m less than the perimeter, and the width is 2 m less than the perimeter.

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

The table shows values of x and their corresponding values of y for three points on line j in the xy-plane.

Line k also lies in the xy-plane and is defined by the equation y = 6 x . At what point x,y do lines j and k intersect?

A5,30B5,54C6,34D6,36

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

An entomologist placed an initial population of 20 Tenebrio molitor, a type of beetle, into a habitat and monitored the population over time. When the number of Tenebrio molitor in the habitat reached 180% of the initial population, the entomologist moved 75% of the Tenebrio molitor to a second habitat. How many Tenebrio molitor did the entomologist move to the second habitat at this time?

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

A linear function g is defined by g(x)=ax+b, where a and b are constants. If g(-1)=-8 and g(3)=4, what is the value of a ?

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

The expression 7(8x+17)(x-4)-(6x+13) can be written in the form $a{x}^{2}+bx+c$ , where a , b , and c are constants. What is the value of b ?

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

If x=6n+27, where n is a positive integer constant, what is the least integer value of x /n ?

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Chapter 40 · 2025.8 : A-C (analysis included) · MATH 2

The expression k·cosx° represents the area of triangle ABC shown. What is the value of k ?

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MATH 2 · 22 questions