Algebra 2 Semester A Exam Review

Front

What are the solutions to the equation (x-3)(x+2)=0?

Back

x=3, -2

Front

Solve for x: 2(3)^(x+1) = 36

Back

x=1

Front

Solve for x: 3^x = 27

Back

x=3

Front

Solve for b: 4^(3b - 3) = 1/16

Back

b=1/3

Front

What are the factors of f(x)=3x^2 - 4x - 7?

Back

(3x-7)(x+1)

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / 2a

Front

Define a polynomial function.

Back

A function that can be expressed in the form f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n ≠ 0.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has the form f(x) = mx + b, while a quadratic function has the form f(x) = ax^2 + bx + c.

Front

How do you find the vertex of a parabola given by the equation y = ax^2 + bx + c?

Back

The vertex can be found using the formula x = -b/(2a).

Front

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

Back

The discriminant is b² - 4ac; it indicates the nature of the roots: if >0, two real roots; =0, one real root; <0, no real roots.