Algebra 2 chapter 3 examination

Front

What is the solution to the system of equations represented by the points (0, 3), (1, -1), (-3, 1), (1, 3)?

Back

(1, 3)

Front

Which inequality is represented by the graph of y > (x + 3)² - 3?

Back

y > (x + 3)² - 3

Front

What is the result of (3 + 2i) + (4 - 5i)?

Back

7 - 3i

Front

Solve the equation by factoring: x² - 6x + 8 = 0.

Back

x = 2 or x = 4

Front

What is the definition of a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean for a solution to a system of inequalities to be valid?

Back

It must satisfy all inequalities in the system.

Front

What is the quadratic formula used for?

Back

To find the solutions of a quadratic equation in the form ax² + bx + c = 0.

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

How do you determine if a quadratic opens upwards or downwards?

Back

If the coefficient 'a' is positive, it opens upwards; if negative, it opens downwards.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac and determines the nature of the roots.