Algebra EOC 2024

Front

Factor the quadratic expression: x^2 - 2x - 15

Back

(x - 5)(x + 3)

Front

What is the vertex of the quadratic function: x^2 + 4x - 21?

Back

(-2, -25)

Front

Factor the expression: r^2 - 16r + 60

Back

(r - 6)(r - 10)

Front

Solve the equation using the quadratic formula: ax^2 + bx + c = 0

Back

x = (-b ± √(b² - 4ac)) / (2a)

Tags

CCSS.HSA-REI.B.4B

Front

Find the vertex of the parabola given by the equation: y = 3(x + 5)^2 - 4

Back

(-5, -4)

Front

What is the standard form of a quadratic function?

Back

y = ax^2 + bx + c

Front

Define the term 'discriminant' in the context of quadratic equations.

Back

The discriminant is the value of b² - 4ac, which determines the nature of the roots.

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean if the discriminant is positive?

Back

The quadratic equation has two distinct real roots.

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean if the discriminant is zero?

Back

The quadratic equation has exactly one real root (a repeated root).

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean if the discriminant is negative?

Back

The quadratic equation has no real roots (the roots are complex).

Tags

CCSS.HSA-REI.B.4B