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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

Let P(x) be a polynomial. When P(x) is divided by (x−1), the remainder is 3. When

P(x) is divided by (x−2), the remainder is 5. What is the remainder when P(x) is divided by

(x−1)(x−2)?

A2x+1B2x−1C3x+5D5x−3

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

In the xy-plane, a circle is defined by the equation −6x+8y=0. If the line

y=mx is tangent to the circle at the origin (0,0), what is the value of m?

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

A botanical research lab tested two types of fertilizers on 350 plants. 200 plants were treated with Fertilizer A, and 150 plants were treated with Fertilizer B. Of the plants treated with Fertilizer A, 160 bloomed. Of the plants treated with Fertilizer B, 120 bloomed. If a plant is selected at random from all the plants that bloomed, what is the probability that it was treated with Fertilizer B?

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

The function

has a minimum value of −3 at x=2. If f(0)=1, what is the value of f(3)?

A−2B0C1D2

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

In the xy-plane, an angle θ in standard position intersects the unit circle at the point

P(−, ). What is the value of sin(θ)⋅tan(θ)?

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

The system of equations below has no solution.

3x + ay = 6

bx + 9y = 15

where a and b are positive constants. If the ratio of a to b is 1:3, what is the value of a+b?

A6B9C12D15

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

The quadratic function f is defined by f(x) =

+ 9. The function has an x-intercept at (1, 0) and h > 0. What is the value of h?

A2B3C4D5

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

The inequality |ax - 4|

2 has exactly 3 integer solutions for x, where a is a positive integer. What is the value of a?

A1B2C3D4

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

When the polynomial

is divided by (x - 2), the remainder is 12. What is the value of a?

A-1B0C1D2

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

In the xy-plane, a circle has the equation

. One endpoint of a diameter of the circle is (8, 2). What is the sum of the coordinates of the other endpoint?

A-2B-1C0D2

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

What is the solution set of the equation

A{-1, 4}B{4}C{-1}D{0, 4}

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

A savings account earns 4% annual interest, compounded annually. If $2000 is invested, how much interest is earned after 3 years, to the nearest dollar?

A$240B$249C$250D$252

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

Data Set A: 2, 4, 6, 8, 10

Data Set B: 3, 5, 6, 7, 9

Which of the following is true about the standard deviations of the two data sets?

AStandard deviation of A > Standard deviation of BBStandard deviation of A < Standard deviation of BCStandard deviation of A = Standard deviation of BDCannot be determined

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

A cone has a radius of 6 and a height of 8. What is the volume of the cone?

A96

B144

C288

D384

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

The function

models the population of a certain town each year from 1951 through 1966, where

is the number of years after 1951. Which of the following is the best interpretation of “

is approximately equal to 563” in this context?

AThe population of the town is estimated to be approximately 5 greater in 1956 than in 1951.BThe population of the town is estimated to be approximately 563 in 1956.CThe population of the town is estimated to be approximately 5 times greater in 1956 than in 1951.DThe population of the town is estimated to increase by approximately 563 every 5 years between 1951 and 1966.

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

Two students are playing a game. In the first round, Player 1 answers 33 questions. If an answer is correct, Player 1 earns 1 point. If an answer is incorrect, Player 2 will earn 1 point instead. The graph shows , where is the number of points Player 2 will earn when is the number of points Player 1 earns. Which of the following is the best interpretation of the point in this context?

AWhen Player 1 earns 33 points, Player 2 will earn 33 points.BWhen Player 1 earns 33 points, Player 2 will earn 0 pointsC

When Player 1 earns 0 points, Player 2 will earn 66 points.

DWhen Player 1 earns 0 points, Player 2 will earn 0 points.

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

The water depth in a certain river is 78.7 feet (ft). During a 30-day period, the water depth in this river is predicted to increase a minimum of 1 ft and a maximum of 3 ft. What is the predicted maximum water depth, in feet, during this time?

A75.7B77.7C79.7D81.7

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

The function f(x)=-2x²+12x+k has a maximum value of 10. What is the value of k?

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

The population of a bacteria colony grows exponentially. At time t=0, population is 120. At t=3, population is 960. How many bacteria are there at t=4?

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

In triangle ABC, sin A=3/5. Angle A is acute. What is cos A?

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

If x>0 and $\frac {3} {x-2}=\frac {5} {x+4}$ , what is the value of x?

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Chapter 4 · 2026.9 : A-A(analysis included) · MATH 2

A circle has the equation x²+y²+6x-8y=0. What is the diameter of this circle?

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MATH 2 · 22 questions