Assignment #1 - Completing the Square

Front

What is the formula to calculate the new C-term when completing the square?

Back

Front

What value of 'c' completes the square for the expression x^2 + 6x + ____?

Back

c = 9.

Front

In the equation x^2 = 9 - 4x, what needs to be moved to complete the square?

Back

Move the -4x.

Front

What is the equivalent expression for the perfect square trinomial x^2 - 18x + 81?

Back

(x - 9)^2.

Front

What is one of the solutions to the equation (x - 3)^2 = 49?

Back

x = 10 or x = -4.

Front

What is the first step in completing the square for the equation x^2 + bx?

Back

Take half of b, square it, and add it to both sides.

Front

How do you identify a perfect square trinomial?

Back

It can be expressed as (a ± b)^2.

Front

What is the general form of a quadratic equation?

Back

ax^2 + bx + c = 0.

Front

What does the term 'completing the square' refer to in algebra?

Back

It is a method used to convert a quadratic equation into a perfect square trinomial.

Front

What is the vertex form of a quadratic equation?

Back

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