OSAT Secondary Mathematics 1 — Questions and Answers
Question 1: Which of the following is the correct form of the quadratic formula for solving ax² + bx + c = 0?
- x = (-b ± √(b²-4ac)) / 2a (Correct answer)
- x = (b ± √(b²+4ac)) / 2a
- x = (-b ± √(b²+4ac)) / 2a
- x = (-b ± √(b²-4ac)) / a
Correct 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.
Question 2: What is the slope of a line that passes through the points (2, 3) and (6, 11)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (y₂ - y₁) / (x₂ - x₁) = (11 - 3) / (6 - 2) = 8/4 = 2.
Question 3: Which of the following represents an exponential growth function?
- f(x) = 2x + 5
- f(x) = x²
- f(x) = 3(2)^x (Correct answer)
- f(x) = 5/x
Correct 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.
Question 4: If f(x) = 3x − 4, what is f(f(2))?
- 2 (Correct answer)
- 5
- 6
- 8
Correct answer: 2
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)?
- x < 4
- x ≤ 4
- x ≥ 4 (Correct answer)
- All real numbers
Correct answer: x ≥ 4
The radicand must be non-negative, so x − 4 ≥ 0, which means x ≥ 4.
Question 6: Which property is demonstrated by the equation a(b + c) = ab + ac?
- Commutative Property
- Associative Property
- Distributive Property (Correct answer)
- Identity Property
Correct 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.
OSAT Secondary Mathematics 1
Which of the following is the correct form of the quadratic formula for solving ax² + bx + c = 0?