OSAT Secondary Mathematics

Question 1

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

Accepted Answer

x = (-b ± √(b²-4ac)) / 2a

Answer

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

Question 2

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

Accepted Answer

2

Answer

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

Question 3

Which of the following represents an exponential growth function?

Accepted Answer

f(x) = 3(2)^x

Answer

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.

Question 4

If f(x) = 3x − 4, what is f(f(2))?

Accepted Answer

2

Answer

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

Question 5

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

Accepted Answer

x ≥ 4

Answer

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

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