Math 3 Checkin Quiz

Which scenario could be modeled by the graph of the function f(x) = 100(1.002)^x?

• A) An ant colony that has an initial population of 100 increases by 0.2% per year.

• B) An ant colony that has an initial population of 100 increases at a constant rate of 0.2 per year.

• C) An ant colony that has an initial population of 100 decreases by 0.2% per year.

• D) An ant colony that has an initial population of 100 decreases at a constant rate of 0.2 per year.

Tags

CCSS.HSF.LE.A.2

What is the smallest root of the polynomial (g(x) = x^3 - 3x^2 - 4x + 12)?

The function f is defined as f(x) = (x - 4)²(x + 3). The cubic function g(x) has a root at 5, a double root at -2, and a leading coefficient of 1. What is the horizontal distance, in units, between the relative minimum of f(x) and the relative maximum of g(x)?

What is the diameter of the circle defined by x² - 6x + y² + 4y - 23 = 0?

Tags

CCSS.HSG.GPE.A.1

What coordinate pair is the center of the circle represented by (x - 3)² + (y + 4)² = 9?

• A) (-4, 3)

• B) (-3, 4)

• C) (3, -4)

• D) (4, -3)

Tags

CCSS.HSG.GPE.A.1

The coverage area for a certain radio station can be modeled as a circle with the center at the station’s transmitter and a radius of 25 miles. The population density for the coverage area is 14.2 residents per square mile. To the nearest hundred, how many people reside within the station’s coverage area?

• A) 111,500

• B) 27,900

• C) 2,200

• D) 1,100

Tags

CCSS.7.G.B.4

Which expression is equivalent to (2x + 7)/(3x - 5) + (4x + 6)/(x + 3)?

• A) (-10x^2 + 15x + 51) over ((x + 3)(3x - 5))

• B) (-10x^2 + 11x - 9) over ((x + 3)(3x - 5))

• C) (-10x^2 + 51) over ((x + 3)(3x - 5))

• D) (-10x^2 - 11) over ((x + 3)(3x - 5))

Tags

CCSS.HSA.APR.D.7

An experiment attempts to simulate temperatures in degrees Fahrenheit for the first 10 hours of the day. This piecewise function models the progression at any time, x, during the experiment. The function is defined as follows: - f(x) = 48 + 5x for 0 < x <= 4 - f(x) = 60 + 2x for 4 < x <= 7 - f(x) = 81 - 1x for 7 < x <= 10 What is the maximum temperature simulated during the experiment?

• A) 68°F

• B) 74°F

• C) 81°F

• D) 84°F

This shows an equation: (3x^3 + hx^2 + 16 = 3x^2 - x + 1 + 15/(x + 1)). What value for h will make the equation true if x ≠ -1?

Tags

CCSS.8.EE.C.7B

A circle is represented by the equation -20 = x² + y² + 8x - 6y. Which statement is true about the circle?

• The center of the circle is located at (-4, 3), and the radius of the circle is about 2.2 units.

• The center of the circle is located at (-8, 6), and the radius of the circle is about 2.2 units.

• The center of the circle is located at (-4, 3), and the radius of the circle is 5 units.

• The center of the circle is located at (-8, 6), and the radius of the circle is 5 units.

Tags

CCSS.HSG.GPE.A.1