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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

Javier deposits $45 in a savings account at the end of each week. At the beginning of the 1st week of a year there was $600 in that savings account. How much money, in dollars, will be in the account at the end of the 8th week of the year?

A240B645C653D960

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

Which expression is equivalent to 3x(x+9)?

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

In the figure, line q is parallel to line r , and both lines are intersected by line s . If y = 2 x + 7 , what is the value of x ?

A19B26C64D74

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

There is a linear relationship between the amount of salt x , in grams, and the amount of water y , in liters, in a certain body of seawater. The table shows this relationship for three samples of this seawater.

Which equation represents this relationship?

x=174y

x=137y

x=37y

x=74y

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

Kai used fabric measuring 4 yards in length to make each costume for a school play. The relationship between the number of costumes that Kai made, x , and the total length of fabric that he purchased y , in yards, is represented by the equation y-4x=3. What is the best interpretation of 3 in this context?

AKai made 3 costumes.BKai purchased a total of 3 yards of fabric.CKai used a total of 3 yards of fabric to make the costumes.DKai purchased 3 yards more fabric than he used to make the costumes.

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

The function f is defined by f(x)=7x-205. If the point( k,2k) lies on the graph of y=f(x) in the xy-plane, where k is a constant, what is the value of k ?

A7B14C41D205

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

x+k²+48=48

In the given equation, k is a constant. How many distinct real solutions does this equation have?

AZeroBExactly oneCExactly twoDInfinitely many

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

Four different research groups each surveyed a random sample of students from a certain high school to estimate the percentage of students at the school who speak a second language. The table shows the resulting estimates and their associated margins of error.

Assuming the margins of error were calculated in the same way, which group had the largest sample size?

AGroup 4BGroup 3CGroup 2DGroup 1

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

cx-2=-5x+k

In the given equation, c and k are constants. The equation has exactly one solution. Which of the following statements must be true?

AThe value of c cannot be -5 .BThe value of c cannot be -52.CThe value of c cannot be 25 .DThe value of c cannot be -2 .

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

The scatterplot shows the relationship between two variables, t and d .

Which of the following equations is the most appropriate linear model for the data shown?

Ad=-65.1+2.02tBd=165.1+2.02tCd=354.8+2.02tDd=389.8+2.02t

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

The function f is defined by f(x)=ax-b, where a and b are constants. In the xy-plane, the graph of y=f(x) passes through the points c,8 and 2c,218, where c is a constant. Which of the following could be the value of b ?

A7B202C210D226

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

The percent increase in mass of a certain red kangaroo from 70 days old to 140 days old was 563 %. If this red kangaroo's mass was k grams at 70 days old, which expression represents its mass, in grams, at 140 days old?

A6.63kB5.63kC1.08kD0.08k

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

A circle in the xy-plane has its center at -4,-8. Line k is tangent to this circle at the point -8,-9. What is the slope of line k ?

A-4B-14C14D4

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

The function g is defined by g(x)=18-x. What is the value of g(3)?

A3B15C18D21

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

Ellie deposited a total of $5,700 into two retirement accounts last year by depositing x dollars once each month into one account and y dollars twice each month into the other account. Which equation represents this situation?

A5,700=12x+12yB5,700=12x+24yC5,700=24x+12yD5,700=24x+24y

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

The ratio 10 to 2 is equivalent to the ratio 40 to 2 k , where k is a constant. What is the value of k ?

A0.5B4C8D80

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

The graphs of y = - 2 x + 7 and y = x - 5 are shown. Point P (not shown) has coordinates 4-4 and lies in the shaded region. The coordinates of P satisfy which of the following inequalities?

I.y<-2x+7

II.y>x-5

I only

II only

I and II

Neither I nor II

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

The function m is defined by m(x)=3x+2, and the function p is defined by p(x)=2-x. What is the value of 4m(2)-p(2)?

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

During the first 8.00 seconds after a car started moving, its speed increased to 11.0 meters per second. From 8.00 seconds to 14.0 seconds after the car started moving, its speed increased from 11.0 meters per second to 25.0 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 8.00 seconds after the car started moving and the average rate of change of the speed of the car, in meters per second per second, from 8.00 seconds to 14.0 seconds after the car started moving?

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

On a plot of land, 56.0% of the square footage is farmland and the remaining square footage is pasture. There are buildings on exactly 26.5% of the square footage of the farmland, and there are buildings on exactly 19.0% of the square footage of the pasture. If there are buildings on exactly p% of the square footage of the plot of land, what is the value of p ?

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of the acute angles is 9x-460°. The sum of the measures of one of the acute angles and three of the obtuse angles is -18x+w°. What is the value of w ?

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Chapter 41 · 2025.8 : A-B (analysis included) · MATH 2

$-{x}^{2}+bx-441=0$

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

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