Fall Final Exam Review 2021 Algebra 2

Front

Is (5, 2) a solution to the system? 2x + 4y < 20 and 3x - 2y > 11?

Back

No

Front

Solve the equation: x² + 2x - 24 = 0

Back

x = -6, x = 4

Front

Does this parabola have a minimum or maximum? What is its value?

Back

maximum: 5

Front

Multiply using distributing: (5x + 2)(x² - 3x + 6)

Back

5x³ - 13x² + 24x + 12

Front

Which of the following is not a solution to this system of inequalities? (0,-1), (0,3), (4,0), (6,-2)

Back

(0,-1)

Front

What is the definition of a solution to a system of equations?

Back

A solution is a set of values that satisfy all equations in the system.

Front

What does it mean for a parabola to have a maximum value?

Back

It means the highest point on the graph of the parabola.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / 2a

Front

What is the process of factoring a quadratic equation?

Back

Finding two binomials that multiply to give the original quadratic.

Front

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

Back

It determines the nature of the roots: real and distinct, real and repeated, or complex.