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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

The number of muskrat in a 133 -acre area is estimated to be 2,128 . What is the estimated population density, in muskrat per acre, of this area?

A16B133C149D2,144

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Chapter 37 · 2025.9 : A-B (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?

Ax+y=63Bx+2 y=63C2 x+y=63D2 x+2 y=63

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

There are a total of 5,600 milligrams of phosphorus in a sample of soil. Each kilogram of this sample contains 800 milligrams of phosphorus. Which equation represents this situation, where x is the mass, in kilograms, of the sample of soil?

Ax+800=5,600B5,600 x=800Cx+5,600=800D800 x=5,600

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

The function f is defined by f(x)=

. What is the value of f(8) ?

A28B14C12D7

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

If 8 x+7=32, what is the value of 3(8 x+7) ?

A75B96C117D128

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

A savings account is opened with an initial deposit of $3,000. The amount of money in the account t years after the initial deposit is given by the function f(t)=3,000(1.02) ^2t. Which of the following is the best interpretation of the statement " f(8) is approximately equal to 4,118.36” in this context?

A8 years after the initial deposit, the amount of money, in dollars, in the account is 4,118.36.BEvery 8 years, the amount of money, in dollars, in the account increases by 4,118.36.CEvery 8 years, the amount of money, in dollars, in the account decreases by 4,118.36.D8 years after the initial deposit, the amount of money, in dollars, in the account has increased by 4,118.36.

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

y=(x-7)(x+10)

Which table gives four values of x and the corresponding values of y for the given quadratic equation?

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

4 x+3=r x+6

In the given equation, r is a constant. The equation has no solution. What is the value of r ?

A4B6C7D18

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

In the linear function f, f(0)=9 and f(2)=9. Which equation defines f ?

Af(x)=0Bf(x)=2Cf(x)=9Df(x)=x+9

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

An arborist studying forestland in Illinois estimates that there are at least 40 and no more than 50 hickory trees per acre in a certain forest. Which of the following best represents the arborist's estimate of the number of hickory trees, x, that are in a 3 -acre section of this forest?

150 x 300

B120

150C40

50D

43 x 53

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

x ²+() x+37=0

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

A150B148C146D39

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Chapter 37 · 2025.9 : A-B (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.

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

A-8.02B-6.02C-2.17D-0.17

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

The given equation relates the positive numbers a and b. Which equation correctly expresses b in terms of a?

Ab=

a+6Bb=

a-10Cb=

a-6Db=

a-10

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

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

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

A(180)(99)(360)B(99)(2)(360)C(99)(360)D

(360)

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

In triangles RST and XYZ shown, XY is parallel to TS and tan R=. What is the value of sin X in triangle XYZ?

A140/311B140/221C171/221D171/140

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

y=6 x ²-48 x+98

y+4=0

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

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

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

A jar has 530 buttons, and 20 % of these buttons are red. How many buttons in the jar are red?

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Chapter 37 · 2025.9 : A-B (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 68. What is the measure, in degrees, of angle F?

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

For the polynomial function p, the graph of y=p(x) in the xy-plane crosses through the points (-10,0),(0,12),(7,0), and (14,0). What is the value of p(0) ?

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

The graph of -15 x+1.2 y=-270 in the xy -plane has intercepts at (a, 0) and (0, b) . What is the value of ab ?

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

x+15 y=40

4 x+3 y=27

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

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Chapter 37 · 2025.9 : A-B (analysis included) · MATH 1

A cube has an edge length of 7 centimeters. What is the volume, in cubic centimeters, of the cube?

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MATH 1 · 22 questions