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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

The number of muskrat in a 115-acre area is estimated to be 2,070. What is the estimated

population density, in muskrat per acre, of this area？

A18B2,088C115D133

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

The triangle shown has one side with a length of x inches and two sides each with a length of

y inches. The perimeter of the triangle is 63 inches. Which equation represents this situation?

A2x+y=63Bx+2y=63C2x+2y=63Dx+y=63

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

There are a total of 3,500 milligrams of phosphorus in a sample of soil. Each kilogram of this

sample contains 700 milligrams of phosphorus. Which equation represents this situation, where

x is the mass, in kilograms, of the sample of soil?

A3,500x = 70Bx + 3,500 = 700Cx + 700 = 3,500D700x = 3,500

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

The function f is defined by f(x) =

(x + 11). What is the value of f(3)?

A22B28C7D14

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

If 7x + 5 = 22, what is the value of 2(7x + 5)?

A34B66C44D54

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

A savings account is opened with an initial deposit of $9,000. The amount of money in the account t years after the initial deposit is given by the function

. which of the following is the best interpretation of the statement " f(9) is approximately equal to12,854.22" in this context?

AEvery 9 years, the amount of money, in dollars, in the account increases by 12,854.22.B9 years after the initial deposit, the amount of money, in dollars, in the account is 12.854.22.C9 years after the initial deposit, the amount of money, in dollars, in the account has increased by 12.854.22.DEvery 9 years, the amount of money, in dollars, in the account decreases by 12.854.22.

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

y = (x − 7)(x + 3)

Which table gives four values of a and the corresponding values of y for the given quadratic

equation?

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

In the linear function f, f(0)=9 and f(7)= 9. Which equation defines f?

Af(x) = 9Bf(x) = x + 9Cf(x) = 7Df(x) = 0

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

An arborist studying forestland in llinois estimates that there are at least 40 and no more than70 hickory trees per acre in a certain forest. Which of the following best represents the arborist's estimate of the number of hickory trees, , that are in a 7-acre section of this forest?

A490 ≤ x ≤ 980B280 ≤ x ≤ 490C47 ≤ x ≤ 77D40 ≤ x ≤ 70

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

As part of a study on sedimentary habitats, the water temperature was recorded at different depths below the surface of the water in the northern Alboran Sea. The data shown in the scatterplot give the recorded temperature, in degrees Celsius, for 7 depths, in meters, below the surface of the water.

The scatterplot has 7 data points.

The data points are in a linear pattern trending down from left to right.

The data points have the following approximate coordinates:

(15 comma 22.30)

(22 comma 21.30)

(35 comma 16.20)

(47 comma 17.20)

(5l comma 16.20)

(54 comma 14.30)

(70 comma 13.30)

Which of the following is closest to the slope of a line of best fit for the data shown?

A−8.05B−0.17C−6.05D−2.17

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

The given equation relates the positive numbers a and b. Which equation correctly expresses b

in terms of a?

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

The measure of an angle, in radians, is (99)(2)

. What is the measure of the angle, in degrees?

A(99)(2)(360)B(

)(300)C(180)(99)(360)D(99)(360)

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

In the given equation, k is a constant. The equation has exactly one real solution. What is the

value of k?

A29B104C107D101

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

In triangles RST and XYZ shown, is parallel to and . What is the value of in triangle XYZ?

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

y + 2 = 0

How many solutions are there to the given system of equations?

AThere are exactly 2 solutions.BThere are exactly 3 solutions.CThere are no solutions.DThere is exactly 1 solution.

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

A jar has 170 buttons, and 20% of these buttons are green. How many buttons in the jar are green?

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

Triangles ABC and DEF are congruent, where A corresponds to D, and B and E are right angles. The measure of angle A is 63° . What is the measure, in degrees, of angle F？

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

A length of 550 meters is equal to how many decimeters? (1 meter = 10 decimeters)

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

For the polynomial function p, the graph of y= p(x) in the xy-plane crosses through the points (-6,0), (0, 12), (7,0), and (14, 0). what is the value of p(0)?

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

The graph of-11x +2.2y= -605 in the xy-plane has intercepts at (a, 0) and (0, b). What is the value of ab?

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

x + 21y = 38

4x + 3y = 17

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

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Chapter 36 · 2025.9 : A-C (analysis included) · MATH 1

|x+4|+4=|2x-11|+4

What is the smallest solution to the given equation?

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MATH 1 · 22 questions