Algebra 2 Final Exam Review #2

Front

What is the solution to the equation x = 1.5?

Back

x = 1.5

Front

What are the solutions to the equation x^2 - 4 = 0? (Separate your answer using a comma)

Back

x = 2, -2

Front

What are the solutions to the equation x^2 - 8x + 24 = 0? (Separate your answer using a comma)

Back

x = 11, -3

Front

Define a quadratic equation.

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax^2 + bx + c = 0.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

What does the discriminant of a quadratic equation tell us?

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.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the function equal to zero and solve for x.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is the vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a).

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c.