Algebra 2 Final Exam

Front

What is the factored form of the quadratic expression 3x^2 + 10x - 8?

Back

(3x - 2)(x + 4)

Front

How many solutions does the equation x = \frac{6 \pm \sqrt{36-36}}{2(3)} have?

Back

1 solution

Front

What is the solution to the system of equations -12x - 10y = 0 and 6x + 5y = -1?

Back

no solution

Front

What are the zeros of the equation y = x^2 + 4x?

Back

x = {0, -4}

Front

Solve for x: 5x - 14 = 8x + 4.

Back

x = -6

Front

What is the definition of a quadratic equation?

Back

A polynomial equation of the form ax^2 + bx + c = 0, where a ≠ 0.

Front

What is the quadratic formula used for?

Back

To find the solutions of a quadratic equation: x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.

Front

What does it mean if the discriminant (b^2 - 4ac) is positive?

Back

The quadratic equation has two distinct real solutions.

Front

What does it mean if the discriminant (b^2 - 4ac) is zero?

Back

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

Front

What does it mean if the discriminant (b^2 - 4ac) is negative?

Back

The quadratic equation has no real solutions (two complex solutions).