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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

An object is launched from a height of 100 feet above the ground. A quadratic function g models the height above the ground, in feet, of the object t seconds after it is launched. According to the model, 3 seconds after the object is launched, it reaches a maximum height of 181 feet above the ground. Which equation defines g?

g(t)=−9t²+54t+100

g(t)=−9t²+54t+181

g(t)=−9t²+27t+100

g(t)=−9t²+54t+181

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

+ 52 x +

= 0

In the xy-plane, the graph of the given equation is a circle. What are the coordinates x,y of the center of the circle?

A( 0,26)B(0,-26)C(26,0)D(-26,0)

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

The binomial x + 6y is a factor of which of the following?

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

If a new graph of three linear equations is created using the system of equations shown and the equation x + 4 y = -32 , how many solutions x,y will the resulting system of three equations have?

AZeroBExactly oneCExactly twoDInfinitely many

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

The length of each side of square X is 320 centimeters. The length of each side of square Y is triple the length of each side of square X. What is the length, in centimeters, of each side of square Y?

A320B640C960D1,280

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

Maria is selling cookies from her bakery. When she started selling, there were 3,200 cookies. At the end of each week for 4 weeks, the number of cookies decreased by

of the cookies at the end of the previous week. Which equation gives the number of cookies, c, in the bakery w weeks after Maria started selling, where 0≤w≤4?

Ac=3,200

Bc=3,200

Cc=3,200−800wDc=3,200×0.25w

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

The function g(t)=−25t+500 gives the predicted height above the ground g(t), in meters, of a drone t minutes after it begins to land. What is the predicted height above the ground, in meters, of the drone 4 minutes after it begins to land?

A100B200C300D400

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

For the polynomial function f , the graph of y=f(x) in the xy-plane passes through the points (-5,0), (3,0), and (8,0). Which of the following must be a factor of f(x)?

Ax + 3Bx + 8Cx - 3Dx - 5

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

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

(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 less then 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 39 · 2025.8 : B-A (analysis included) · MATH 2

Triangle ABC is a right triangle with sides:AB = 15, BC = 8, AC = 17.Triangle ABC is similar to triangle XYZ, where B corresponds to Y and C corresponds to Z.What is the value of tanZ?

A8/15B15/8C8/17D15/17

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

In a set of three consecutive integers, where the integers are ordered from least to greatest, the first integer is represented by y. The sum of 5 and the second integer is greater than the product of 7 and the third integer. Which inequality represents this situation?

A5+y+1>7(y+2)B5+y+1<7(y+2)C5+y+2>7(y+3)D5+y+2<7(y+3)

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

The equation h=5m+300 gives the height h, in meters, of a drone above the ground, where m is the number of minutes after takeoff. By how many meters does the drone's height increase over a period of 10 minutes?

A50B100C150D200

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

Rectangles PQRS and WXYZ are similar. The length of each side of WXYZ is 4 times the length of the corresponding side of PQRS. The area of PQRS is 50 square units. What is the area, in square units, of WXYZ?

A200B400C600D800

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

Anton is selling coins from his coin collection. When he started selling the coins, there were 4,400 coins in the collection. At the end of each week for 3 weeks after Anton started selling the coins, the number of coins in the collection had decreased by

of the coins in the collection at the end of the previous week. Which equation gives the number of coins, c , in the collection w weeks after Anton started selling the coins, where 0≤w≤3?

Bc = 4400wC

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

A gardening company mixes fertilizer with water for different plants. Rose bushes require 6 ounces of fertilizer per gallon of water. Tomato plants require 3 ounces of fertilizer per gallon of water. The company uses a total of 30 ounces of fertilizer in its mixes for the rose bushes and tomato plants. Which of the following equations represents this situation, where x represents the amount of water, in gallons, for the rose bushes and y represents the amount of water, in gallons, for the tomato plants?

A6x+3y=30B3x+6y=30Cx+2y=30D

2x+y=30

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

The expression 7(8x+17)(x-4)-(6x+13) can be written in the form ax²+bx+c, where a , b , and c are constants. What is the value of b ?

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

A linear function h is defined by h(x)=mx+c, where m and are constants. If h(−2)=−10 and h(4)=14, what is the value of ?

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

f(x)=11x¹⁰+3x⁸

g(x)=-15x⁷+7x⁵

The polynomial p(x) is defined as the product of the given polynomials, f(x) and g(x). What is the coefficient of x ¹⁵ in p(x)?

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

A bag contains 12 green marbles and 28 yellow marbles. If one marble is selected at random, what is the probability of selecting a green marble? (Express your answer as a decimal or fraction, not as a percent.)

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

A right square pyramid has a height of 12 inches and a volume of 256 cubic inches. What is the perimeter, in inches, of the base of this pyramid?

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

A car dealership has only sedans, trucks, and motorcycles for sale. On Tuesday, 40% of the vehicles were sedans and 30% were trucks. If there were 20 sedans for sale, how many motorcycles were for sale?

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Chapter 39 · 2025.8 : B-A (analysis included) · MATH 2

During the first 4.00 seconds after a car started moving, its speed increased to 6.00 meters per second. From 4.00 seconds to 8.00 seconds after the car started moving, its speed increased from 6.00 meters per second to 14.0 meters per second. To the nearest hundredth, what is the positive difference between the average rate of change of the speed of the car, in meters per second per second, during the first 4.00 seconds and the average rate of change from 4.00 seconds to 8.00 seconds?

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