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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

y=8 x-3

y=13

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

A(2,13)B(8,13)C(13,2)D(13,8)

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

Triangle PQR is similar to triangle XYZ such that P, Q, and R correspond to X, Y, and Z, respectively. The length of side P Q is 20 , and the length of side QR is 18 . The length of each side of triangle XYZ is 2 times the length of its corresponding side in triangle PQR. What is the length of side YZ ?

A9B10C36D40

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

A number x is at least twice the value of a number y. If the value of y is 65 , which inequality represents the possible values of x?

63Bx

67Cx

130Dx

132

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

g(t)=-16 t ²+176 t

The function g gives the height of a model rocket, in feet, t seconds after it was launched into the air. Which statement is the best interpretation of g(3)=384?

AThe height of the model rocket was 384 feet when it was launched into the air.BThe height of the model rocket was 3 feet when it was launched into the air.CThe height of the model rocket was 3 feet 384 seconds after it was launched into the air.DThe height of the model rocket was 384 feet 3 seconds after it was launched into the air.

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

=88, what is the value of 8 x ?

A88B220C440D880

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

Which expression is a factor of 81 p ²¹-121 p ¹⁹?

A9 p+11B

81 p ²+121

C11 p-9D

-40 p ⁴⁴

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

For the function h, the table gives three values of x and their corresponding values of h(x). Which equation could define h?

h(x)=2^x

h(x)=2 ^x+2

h(x)=2 ^x+26

h(x)=2 ^x+27

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

For the linear function g, the graph of y=g(x) in the xy-plane has a slope of 5 and passes through the point (1,19). Which equation defines g ?

Ag(x)=5 xBg(x)=5 x+5Cg(x)=5 x+14Dg(x)=19 x

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

The given equation relates the positive numbers x, y, and z. Which equation correctly expresses z in terms of x and y ?

Az=xy/10Bz=(x+4)/10 yCz=10 y/(x+4)Dz=(x+4)y/10

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

Which equation has no solution?

A6 x+2=2(3 x+1)B6 x+20=2(3 x+4)C

6 x+1=3 x+1

6 x+3=-6 x-3

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

The table shows the linear relationship between the number of cars, c, on a commuter train and the maximum number of passengers and crew, p, that the train can carry. Which equation represents the linear relationship between c and p?

A34 c-p=-9B34 c-p=9C34 p-c=-9D34 p-c=9

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

While the mass of an object is the same everywhere, the weight of an object is not the same on different planets. An object has a weight of 70.00 pounds on Earth and a weight of 74.62 pounds on Saturn. The object's weight on Jupiter is 252.8 % of its weight on Earth. If the object's weight on Saturn is x % of its weight on Jupiter, which of the following is closest to the value of x?

A42.17B69.76C176.96D269.48

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

The measure of angle S is radians. The measure of angle T is 3 times the measure of angle S. Which expression represents the measure, in degrees, of angle T?

(90)(3)B

(180)(3)C

(90)(3)D

(180)(3)

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

8|7-x|+2=82

What is the sum of the solutions to the given equation?

A14B10C-3D-14

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

The scatterplot shows the relationship between x and y for the 10 data points in data set A.

Data set B is created by multiplying the y-value of each data point from data set A by 40 . Which of the following equations is the most appropriate model for data set B ?

y=7(2.11)^x

y=276(2.11)^x

y=7(2.11) ^x+40

y=40(2.11) ^x+40

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

The function h is defined by h(x) = 40(6x - 10) + kx, where k is a constant. If h(5) = 900, what is the value of h(10)?

2100

2200

2300

2400

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

Sophia bought confetti and balloons for $69. Each package of confetti cost $2, and each balloon cost $1. If Sophia bought 10 packages of confetti, how many balloons did she buy?

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

A marine biologist uses a non-linear model to estimate the weight of a blue whale after it is born. The model is W(t) = 5310 + 10t + 0.5t², where W(t) represents the weight of the whale in pounds t hours after it is born. Based on this model, what is the estimated weight, in pounds, of this blue whale 3 hours after it is born?

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

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

-x²+mx - 64 = 0

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

In the triangle shown, what is the value of sin x ?

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

If $\frac {x} {y}$ =56 and $\frac {cx} {8y}$ =112 , what is the value of c ？

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Chapter 38 · 2025.9 : A-A (analysis included) · MATH 2

A box contains a mix of small and large metal discs used in a physics experiment. The total number of discs is 50. Each small disc has a mass of 15 grams, and each large disc has a mass of 25 grams. The combined mass of all discs is 1,050 grams. However, it is later discovered that the mass of each small disc was incorrectly recorded: actually, each small disc is 3 grams heavier than previously thought (so 18 grams each), and each large disc is 2 grams lighter than previously thought (so 23 grams each). With the corrected masses, what is the new total mass of the discs in grams?

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