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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

The total cost f(x) , in dollars, to lease a car for 24 months from a particular car dealership is given by

, where x is the monthly payment, in dollars. What is the total cost to lease a car when the monthly payment is

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

In the figure shown , line f intersects lines j and k . Which additional piece of information is sufficient to prove that lines j and k are parallel ?

Aw = 54Bx = 126Cy = 54Dz = 126

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

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

5x + 3 = rx + 7

A21B8C7D5

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

If 5(2x + 9)= 3(2x + 9)+ 74 , what is the value of 2x + 9?

A74B37C28D14

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

A gym charges its members a onetime

enrollment fee and a membership fee of

per month. If there are no charges other than the enrollment fee and the membership fee, after how many months will a member have been charged a total of

at the gym?

A7B8C9D10

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

The table shows two values of x and their corresponding values of h(x) for the linear function h. Which equation defines h ?

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

The graphs of the equations in the given system intersect at the point (x,y) in the xy-plane. What is a possible value of x?
y = x² + 17x + 4
y = x + 4

A-16B-15C13D15

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

A piece of string with a length of 108 inches is cut into two parts. One part has a length of x inches, and the other part has a length of y inches. The value of x is 8 more than 4 times the value of y . What is the value of x ?

A25B29C58D88

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

A landscaper will plant two types of shrubs, hydrangeas and winter hazels, in a park. There will be no more than 244 total shrubs planted, and the number of hydrangeas planted will be at most three times the number of winter hazels planted. Which of the following systems of inequalities best represents this situation, where h is the number of hydrangeas that will be planted and w is the number of winter hazels that will be planted?

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

Which point (x,y ) is a solution to the given system of inequalities in the xy-plane?

y≤x+3

y≥-3x-7

A(0,-14)B(0,14)C(-14,0)D(14,0)

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

What is the greatest solution to the given equation?

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

The model shown gives the predicted average Arctic sea ice area f(x) , in millions of square kilometers , for September of each year x , where x represents a year and . Based on the model, what is the positive difference, in millions of square kilometers, between the predicted average Arctic sea ice area for September of the year 1991 and the predicted average Arctic sea ice area for September of the year 1992? (Round your answer to the nearest thousandth.)

A0.059B0.232C0.492D0.768

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

What is the y-intercept of the graph of

in the xy-plane?

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

The function f is defined by the given equation. Which of the following equivalent forms of the equation displays the minimum value of the function as a constant or coefficient?

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

Line s in the xy-plane is defined by

. Line t is perpendicular to line s and passes through the points (7,0) and

. What is the value of k ?

A-11B-4C4D11

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

The function g is defined by the given equation, where a , b , and c are integer constants. The zeros of the function are -2 , -7 , and 6 . What is the value of a ?

A-84B-3C3D84

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

The weight of each object in two groups , A and B , was recorded . The histograms represent the distributions of weight , in grams , for the objects in groups A and B.

The mean weight of the objects in group A is equal to 2.1, and the mean weight of the objects in group B is equal to 11.1 . Which of the following statements about the standard deviations of weight for the objects in these two groups is true?

AThe standard deviation of weight for the objects in group A is less than the standard deviation of weight for the objects in group B .BThe standard deviation of weight for the objects in group A is equal to the standard deviation of weight for the objects in group B.CThe standard deviation of weight for the objects in group A is greater than the standard deviation of weight for the objects in group B.DThere is not enough information to compare the standard deviations of weight for the objects in these two groups.

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

A carpenter charges a flat rate of

for the first 3 hours of work and

for each additional hour of work. Which equation gives the total amount y , in dollars, that the carpenter charges for x hours of work, where x > 3 ?

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

The given equation relates the positive variables p , q , r , and s . Which of the following is equivalent to q ?

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

In the figure, AD and BC intersect at point D . The measure of

, the measure of

, and AD = 178 . If

, what is the value of

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

A right square pyramid has a total surface area of 70,560 square inches, and the combined surface area of the four lateral faces of this pyramid is 38,160 square inches. What is the height, in inches, of this pyramid?

A56B90C106D180

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Chapter 51 · 2025.5 : A-B (analysis included) · MATH 2

In the given equation , c is a constant. If the equation has exactly one solution, what is the value of c ?

A-24B-96C24D96

MATH 2 · 22 questions