Algebra 2 1st Semester Final Exam (P2)

Front

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

Back

Multiply 3x and 4 by 2.

Front

What is the factorization of 64x² + 49y²?

Back

Cannot be factored.

Front

What is the result of (4 - 2i) - (3 + 6i)?

Back

1 - 8i.

Front

What is the starting point of the graph of f(x)?

Back

(-5, 0).

Front

How do you find the remainder when (x⁴ - 5x) is divided by (x + 5)?

Back

Calculate (-5)⁴ - 5(-5).

Front

What is the definition of a polynomial?

Back

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction, while an irrational number cannot.

Front

What is the vertex form of a quadratic function?

Back

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

Front

What is the discriminant in a quadratic equation?

Back

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