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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

The exponential function g is defined by g(x) = 18 · a^x, where a is a positive constant. If g(3) = 486, what is the value of g(4)?

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

f(x) = -16x² + 71

The function f gives the estimated height, in feet, of an acorn x seconds after the acorn fell from a tree. How many seconds does it take for the acorn to hit the ground? Round your answer to the nearest hundredth.

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

The equation x² + y² - 2x - 8y - 19 = 0 defines a circle in the xy-plane. What is the length of the radius of the circle?

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

A total of 50 people attended a conference and were offered a choice of 4 types of entrees. The table shows the number of people who chose each type of entree.

If one of these people is selected at random, what is the probability of selecting a person who chose a vegetarian entree? (Express your answer as a decimal or fraction, not as a percent.)

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

${\{ }^{4x=15+3y}_{-8x=7+6y}$

The solution to the given system of equations is (x,y). What is the value of 6x?

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

A researcher investigated two species of mites: a predator and its prey. At the start of a week, the number of prey was 3 times the number of predators. At the end of the week, the number of prey had increased by 1800% of the number of prey at the start of the week, and the number of predators had increased by 620% of the number of predators at the start of the week. The number of predators at the end of the week was p% less than the number of prey at the end of the week. What is the value of P?Give your answer to 1 decimal place.

A72B98C86.2D87.4

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

During hibernation, American black bears do not eat or replenish calories. A certain black bear weighed 258 pounds when entering hibernation and lost weight at a mean rate of 0.8 pounds per day. At this rate, how many days after entering hibernation would the black bear weigh 210 pounds?

A39B48C60D168

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

A certain town has an area of 3.72 square miles. What is the area, in square yards, of this town? (1 mile = 1,760 yards)

A473B6,547C832,688D11,523,072

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

5x + 9y = 20

rx + 18y = 40

In the given system of equations, r is a constant. The system has infinitely many solutions. What is the value of r?

A2B5C9D10

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

Which expression is equivalent to 5xy + 30x²y + 35xy²?

A5xy(1 + 30x + 35y)B5xy(1 + 6x + 7y)C5xy(30x + 35y)D5xy(6x + 7y)

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

Square A has side lengths that are 82 times the side lengths of square B. The area of square A is k times the area of square B. What is the value of k?

A41B82C164D6,724

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

Which expression is equivalent to 42x³ + 7x?

A7x(6 + 7x)B7x(6x² + 1)C7x²(6 + 7x)D7x²(6x + 1)

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

A carnival charges $3 for each ride ticket and $4 for each game ticket. A family purchased a total of $35 worth of ride and game tickets. Which of the following could NOT be the number of game tickets purchased?

A2B5C8D11

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

v(t) = 9t + 70

The function v gives the volume of water, in liters, in a tank being filled by a hose t minutes after the hose was turned on. Which of the following is the best interpretation of 70 in this context?

AThe volume of water in the tank increases at a rate of 70 liters per minute.BThe tank holds a maximum of 70 liters.CIt takes 70 hours to fill the tank completely.DThere were 70 liters of water in the tank when the hose was turned on.

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

The function h is defined by h(x) = ax + b, where a and b are positive constants. The graph of y = h(x) in the xy-plane passes through the points (0, 11) and (2, 19). What is the value of ab?

A19B30C33D

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

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 ？

A－21B－20C18D20

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

A bakery makes two types of cakes: chocolate and vanilla. Each chocolate cake requires 3 cups of flour and 2 eggs. Each vanilla cake requires 2 cups of flour and 3 eggs. The bakery has at most 60 cups of flour and at most 50 eggs available each day. If the profit on each chocolate cake is $5 and the profit on each vanilla cake is $4, what is the maximum daily profit the bakery can make?

A$96B$100C$104D$110

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

The quadratic function f(x) =

+ bx + c has zeros at x = m and x = n, where m > n. The vertex of the parabola is at (3, -25). What is the value of m - n?

A5B10C12D15

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

A radioactive substance decays exponentially. After 10 years, the mass of the substance decreases to 1/4 of its original mass. By what percent does the mass decrease each year?

A6.7%B10.0%C

12.95%

D25.0%

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

The circle with equation

has a tangent line that passes through the point (0, 0). Which of the following could be the equation of the tangent line?

A4x + 3y = 0B3x - 4y = 0C4x - 3y = 0Dx + y = 0

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

, and

, what is the value of

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Chapter 8 · 2026.8 : A-B(analysis included) · MATH 1

Two right circular cones are similar. The height of the larger cone is 50% greater than the height of the smaller cone. The volume of the smaller cone is 160 cubic inches. What is the volume of the larger cone, in cubic inches?

A240B360C540D720