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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

In the given equation, q is an integer constant.The given equation has no solution . What is the largest possible value of q?
r²+qr=3r-100

A21B22C23D24

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

In the given equation ,a and b are positive constants.The sum of the solutions to the given equation is k(7a+2b),where k is constant.What is the value of k ?
32x²-(14a+4b)x+ab=0

B-

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

In the given equation, u is a positive constant.The sum of the solutions to the equation is 1.What is the value of u ?
7x²(3x-11)(3x-u)=0

A1B-8C

D-

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

A square map has a side length of 45 inches, and 1 inch on the map represents an actual distance of 15 miles. A smaller version of the same map is printed as a square with the side length 60% shorter than the side length of the previous map. On the smaller map, which of the following is closest to the actual distance. in miles, represented by 1 inch ?

A3.90B7.65C37.50D43.33

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

The graph of y=f(x)-1 is shown.Which equation defines function f ?

Af(x)=-5^x+1Bf(x)=-5^x+3Cf(x)=-5^x+5Df(x)=-5^x+6

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

The daily precipitation total at a weather station is recorded by a weather instrument each day. The daily precipitation total recorded on Monday was 29.00 millimeters. The daily precipitation total recorded on Tuesday was a 134.00% increase from the daily precipitation total recorded on Monday. What was the daily precipitation total, in millimeters, recorded on Tuesday?

A8.12B14.18C38.86D67.86

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

A rectangle has a length that is 5 times its width. If the perimeter of the rectangle is 96 inches,what is the area of the rectangle, in square inches?

A40B96C145D320

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

The function f is a quadratic function.In the xy-plane, the graph of y= f(x) has a vertex at (1, 3) and passes through the points (2,26) and (-1,95). what is the value of f(3) - f(0) ?

A69B119C184D211

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

In the figure shown,WZ and XY intersect at point Q,YQ=30,WQ=90,WX=60,and XQ=110.What is the length of YZ ?

A18B20C110D200

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

One of the two equations in a system of linear equations is given.The system has infinitely many solutions. Which equation could be the second equation in this system?
5x=45y-25

Ax=5yB

Cx=9y-5D

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

The function f is defined by f(x)=1245(0.15)^x. For any positive integer f(n) , the value of f(n) is p% less than the value of f(n -1). what is the value of p ?

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

What are all solutions to the given equation ?

A1B1 and - 8C1 and 8DThere is no solution

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

The table shows the distribution of people in a certain city by age group.If a person in this city is selected at random, which of the following is closest to the probability of selecting a person who is greater than 40 years old ,given that the person is at least 18 years old?

A0.21B0.32C0.45D0.65

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

In 8 days, a polar bear ate 36.5 pounds of fat. Which equation describes the amount of fat y, in pounds, the polar bear ate in these 8 days?

Ay=8By=36.5/sCy=36.5Dy=36.5+8

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

The shaded region shown represents solutions to an inequality.Which ordered pair (x,y) is a solution to this inequality ?

A(-6,0)B(0,6)C(0,-6)D(6,0)

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

The functions f and g are defined by the given equations. what is the value of f(-10)?
f(x)=5(g(x))-3
g(x)=|10x-10|

A-550B550C-547D547

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

For x> 0.the function f is defined as follows: f(x) equals 173% of x Which of the following could describe this function?

Decreasing exponential

Decreasing linear

CIncreasing exponentialD

Increasing linear

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

A rectangle has a length that is 5 times its width. The function y = (5w)(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 5w in this context?

AThe length of the rectangle, in feetBThe area of the rectangle.in square feetC

The difference between the length and the width of the rectangle, in feet

DThe width of the rectangle, 5 in feet

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

The given equation relates the positive numbers q,r and s.Which equation correctly expresses q in terms of r and s ?
q-94r=s

Aq=s-94rBq=s+94rCq=94rsDq=-s/94r

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

A car rental company charges a flat fee of $35 plus $0.20 per mile driven.The total cost C' in dollars for renting the car and driving m miles can be represented by the equation:
C= 0.20m + 35

The flat fee is $35, the cost per mile is $0.20, and the total cost for 120 miles is $59.

The flat fee is $35, the cost per mile is $0.20, and the total cost for 120 miles is $50.

The flat fee is $0.20, the cost per mile is $35, and the total cost for 120 miles is $59.

The flat fee is $0.20, the cost per mile is $35, and the total cost for 120 miles is $50.

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Chapter 54 · 2025.3 : B-D (analysis included) · MATH 2

The function f is defined by f(x)=5x , What is the y-intercept of the graph y=f(x) in the xy-plane?

A(o,

)B(0,-7)C(0,5)D(0,7)

MATH 2 · 21 questions