AFOQT Math Knowledge PRACTICE QUESTIONS WITH ANSWERS VERIFIED 100% CORRECT| LATEST 2024/2025

AFOQT Math Knowledge PRACTICE QUESTIONS
WITH ANSWERS VERIFIED 100% CORRECT| LATEST
2024/2025

Standard form of Quadratic Equation - ✔✔ax² + bx + c = 0, where
a, b, and c are real numbers and
a ≠ 0.


Standard form of quadratic equation:

Axis of symmetry - ✔✔x=-b/2a



Standard form of quadratic equation: Vertex - ✔✔(-b/2a, f(-b/2a))



Vertex form of quadratic equation - ✔✔y = a(x - h)² + k; vertex is (h,k), where "h" is
always the opposite of what it appears to be in the ( )'s.,


Vertex form of quadratic equation:

Vertex - ✔✔(h,k)


Vertex form of quadratic equation:

Axis of symmetry - ✔✔x=h



Convert standard form to vertex form (quadratic equation) - ✔✔Complete the square
1. Move c to the left side of equation
2. Divide entire equation by a

, 3. Take half of the coefficient of x, square that number, and then add the result to both
sides of the equation
4. Convert the right side of the equation to a perfect binomial squared, (x+m)^2
5. Isolate y to put the equation in proper vertex form



Quadratic formula - ✔✔x = -b ± √(b² - 4ac)/2a


In standard form, ax^2 + bx + c, where a, b, and c (Just the numbers) can be plugged into
the quadratic formula to find the x-intercepts, roots, zeros, or solutions.
a formula used to solve all quadratic equations



Discriminant - ✔✔b²-4ac
a function of the coefficients of a polynomial equation whose value gives information
about the roots of the polynomial.



If B^2-4ac=0 - ✔✔1 real root; vertex on the x-axis



If B^2-4ac is positive - ✔✔2 real roots; two x-intercepts



If B^2-4ac is negative - ✔✔0 real roots, 2 complex roots; no x-intercepts



Pi - ✔✔The ratio of a circle's circumference to its diameter (3.14)



Circumference of a circle - ✔✔2πr



Area of a circle - ✔✔A=πr²