NC Math 2 Final Exam Practice

Front

What is the relationship between angles ∠ABC and ∠EDC if ∠BCA≅∠DCE?

Back

If ∠BCA≅∠DCE, then ∠ABC and ∠EDC are corresponding angles in similar triangles.

Front

What is the value of the expression if the answer is 20?

Back

The expression could be a result of a quadratic equation or a linear equation evaluated at a certain point.

Front

What is the value of the expression if the answer is 2?

Back

The expression could represent a solution to a quadratic equation or a function evaluated at a specific input.

Front

Identify the quadratic function represented by the graph: y = -2(x + 4)² + 5.

Back

This function opens downwards and has a vertex at (-4, 5).

Front

What is the rule for a rotation of 90° counterclockwise?

Back

The rule is (-y, x), which means to switch the x and y coordinates and change the sign of the new x coordinate.

Front

Define congruent angles.

Back

Congruent angles are angles that have the same measure.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola represents the highest or lowest point of the graph, depending on whether it opens upwards or downwards.

Front

Explain the significance of the discriminant in a quadratic equation.

Back

The discriminant (b² - 4ac) determines the nature of the roots of the quadratic equation: if positive, two real roots; if zero, one real root; if negative, no real roots.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.