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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

The length of each side of triangle A is 270 millimeters. The length of each side of triangle B is double the length of each side of triangle A . What is the length , in millimeters , of each side of triangle B?

A270B272C540D1080

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

Carrie has c dollars and Marjani has m dollars. Carrie has 4 times as many dollars as Marjani, and together they have a total of $40.00. Which system of equations represents this situation?

Ac=4m c+m=40Bm=4c c+m=40Cc=40m c+m=4Dm=40c c+m=4

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

Anton is selling toys from his toy collection. When he started selling the toys, there were 2,800 toys in the collection. At the end of each week for 3 weeks after Anton started selling the toys, the number of toys in the collection had decreased by 1/2 of the toys in the collection at the end of the previous week. Which equation gives the number of toys, c, in the collection w weeks after Anton started selling the toys, where 0 ≤ w ≤ 3?

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

What is the solution to the given equation?

A2B3C12D36

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

The function f (x) = -30x + 310 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 2 minutes after it begins to descend?

A60B250C280D370

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

What is the solution (x, y) to the given system of equations?

y = -12x + 16

y = - 20x + 24

A(1,4)B(16,24)C(24,16)D(4,1)

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

A rectangle has a length that is 73 times its width. The function y = (73w)(w) represents this situation, where y is the area, in square feet, of the rectangle and y > 0. Which of the following is the best interpretation of 73w in this context?

AThe length of the rectangle, in feetBThe area oftl1e rectangle, in square feetCThe difference between the length and the width of the rectangle, in feetDThe width of the rectangle, in feet

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

For the polynomial function f, the graph of y = f (x) in the xy-plane passes through the points (-3, 0), (-1, 0), and (4, 0). Which of the following must be a factor of f (x)?

Ax+1Bx+4Cx-1Dx-3

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

,what is the value of x + 17?

A0B3C17D34

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

Circles A and Bare graphed in the xy-plane. Circle A is represented by the equation

and intersects the x-axis at the point (r, s). Circle B has its center at (r, s) and has a radius of the same length as circle A. Which equation represents circle B?

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

The dot plots represent the distributions of values in data sets A and B.

Which of the following statements must be true?

I. The median of data set A is equal to the median of data set B.

II. The standard deviation of data set A is equal to the standard deviation of data set B.

Which of the following statements must be true?

I and II

I only

II only

Neither I nor II

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

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

For how many of the 9 data points is the actual y-value greater than the y-value predicted by the line of best fit?

A8B7C5D2

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

The side lengths of right triangle RST are given. Triangle RST is similar to triangle UVW, where S corresponds to V and T corresponds to W. What is the value of tan W?

RS= 504

ST= 128

TR= 520

A16/65B16/63C63/65D63/16

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

The function f is defined by the given equation. Which of the following equivalent forms of f displays, as a coefficient or a base, the y-coordinate of the y-intercept of the graph of y= f(x) in the xy-plane?

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

In a set of three consecutive integers, where the integers are ordered from least to greatest, the first integer is represented by x. The sum of 4 and the second integer is less than the product of 17 and the third integer. Which inequality represents this situation?

A4+(x + 1) > 17(x + 2)B4+(x + 1) < 17(x + 2)C4+(x + 2) > 17(x + 3)D4+(x + 2) < 17(x + 3)

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

The function f is defined by f (x) = 7x³ + 6. What is the value of f(2) ?

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

The solution to the given system of equations is (x, y). What is the value of 4x ?

2x＝9+7y

-2x＝3+7y

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

A bank account was opened with an initial deposit. Over the next several months , regular deposits were made into this account, and there were no withdrawals made during this time. The graph of the function f shown , where y = f (x), estimates the account balance , in dollars , in this bank account x months since the initial deposit. To the nearest whole dollar, what is the amount of the initial deposit estimated by the graph?

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

An entomologist placed an initial population of 40 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 170% 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 42 · 2025.8 : A-A (analysis included) · MATH 1

A circle has a circumference of 89π centimeters. What is the diameter , in centimeters , of the circle ?

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

For what value of $\sqrt[{a}] {{r}^{42}}$ a is equivalent to ${r}^{\frac {6} {7}}$ , where r > 1.

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Chapter 42 · 2025.8 : A-A (analysis included) · MATH 1

In the xy-plane, line s passes through the point (0, 0) and is parallel to the line represented by the equation y = 36x + 6. If line s also passes through the point (9, d) , what is the value of d ?

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