Algebra 2 1st Semester Final Exam (P2)

Front

Evaluate the expression: -3x² - 5x + 7 when x = -2

Back

5

Front

What is the first step in solving the equation: 2(3x + 4) + 2 = 4 + 3x?

Back

Multiply 3x and 4 by 2

Front

Syed simplified i²³ using the steps: 23 divided by 5 is 4 with remainder 3. Is his conclusion correct?

Back

Yes, he should have divided 23 by 4 instead.

Front

What is the equation of the graph that represents y = √(x - 5) + 4?

Back

y = √(x - 5) + 4

Front

If the equation 3(-2x + a) = 5x + 9 has a solution x = 0, what must a equal?

Back

3

Front

What is the definition of a quadratic equation?

Back

An equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does the discriminant of a quadratic equation tell us?

Back

It indicates the nature of the roots: positive means two distinct real roots, zero means one real root, and negative means two complex roots.

Front

How do you complete the square for the equation x² + 6x + 5 = 0?

Back

Rewrite as (x + 3)² - 4 = 0.

Front

What is the vertex form of a quadratic function?

Back

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