Alg2 Practice Final #2 Sem1 2024

Front

What is the expanded form of (x + 7)^2?

Back

x^2 + 14x + 49

Front

Simplify the expression: (5x^2 - 3x + 1) - (3x^2 + 6x - 2)

Back

2x^2 - 9x + 3

Front

What is the sum of the fractions \frac{3x + 4}{2x + 10} + \frac{5x + 36}{2x + 10}?

Back

4

Front

What inequality represents the graph of y ≤ 3x - 4?

Back

y ≤ 3x - 4

Front

Rewrite the equation y = x^2 + 6x + 13 into graphing form by completing the square.

Back

y = (x + 3)^2 + 4

Front

What is the formula for the area of a rectangle?

Back

Area = length × width

Front

Define a quadratic function.

Back

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

Front

What is the vertex form of a quadratic equation?

Back

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

Front

What is the discriminant of a quadratic equation and what does it indicate?

Back

The discriminant is b^2 - 4ac; it indicates the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.

Front

What is the process of completing the square?

Back

Completing the square involves rewriting a quadratic in the form x^2 + bx as (x + p)^2 - q.