Algebra EOC 2024

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation ax² + bx + c = 0.

Front

How do you factor the quadratic expression x² - 2x - 15?

Back

The factored form is (x - 5)(x + 3).

Front

How do you find the value of x when f(x) = -4x - 10 and f(x) = 10?

Back

Set -4x - 10 = 10, solve for x: x = -5.

Front

What is the vertex of the parabola given by the equation y = 3(x + 5)² - 4?

Back

The vertex is (-5, -4).

Front

What are the zeros of the function f(x) = x² - 13x - 30?

Back

The zeros are 15 and -2.

Front

What is a parabola?

Back

A parabola is a symmetric curve formed by the intersection of a cone with a plane parallel to its side.

Front

What does it mean for a function to have zeros?

Back

Zeros of a function are the values of x for which f(x) = 0.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

How do you determine the axis of symmetry for a parabola?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the quadratic equation ax² + bx + c.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.