Secondary Mathematics Flashcards

Which of the following is the correct form of the quadratic formula for solving ax² + bx + c = 0?

Answer: x = (-b ± √(b²-4ac)) / 2a

The quadratic formula x = (-b ± √(b²-4ac)) / 2a gives both solutions for any quadratic equation ax² + bx + c = 0.

What is the slope of a line that passes through the points (2, 3) and (6, 11)?

Answer: 2

Slope = (y₂ - y₁) / (x₂ - x₁) = (11 - 3) / (6 - 2) = 8/4 = 2.

Which of the following represents an exponential growth function?

Answer: f(x) = 3(2)^x

f(x) = 3(2)^x is exponential because the variable x is in the exponent and the base 2 is greater than 1, indicating growth.

If f(x) = 3x − 4, what is f(f(2))?

Answer: 2

First f(2) = 3(2) − 4 = 2, then f(f(2)) = f(2) = 3(2) − 4 = 2.

What is the domain of the function f(x) = √(x − 4)?

Answer: x ≥ 4

The radicand must be non-negative, so x − 4 ≥ 0, which means x ≥ 4.

Which property is demonstrated by the equation a(b + c) = ab + ac?

Answer: Distributive Property

The Distributive Property states that multiplying a factor by a sum equals multiplying the factor by each addend and then adding the products.