Ch 1 Practice Flashcard (AL)

Front

What are the solutions for x in the equation x^2 - 8x + 12 = 0?

Back

x = 2, 6

Front

What does it mean when an equation has 'No Solution'?

Back

It means that there are no values of the variable that satisfy the equation.

Front

What is the formula for the discriminant in a quadratic equation?

Back

The discriminant is given by b^2 - 4ac.

Front

What is the solution to the equation | x – 3 | = 0?

Back

x = 3

Front

How do you solve an equation using square roots?

Back

Isolate the variable and then take the square root of both sides.

Front

What is the factored form of the quadratic equation x^2 - 8x + 12?

Back

(x - 2)(x - 6) = 0

Front

What does the discriminant tell you about the roots of a quadratic equation?

Back

If the discriminant is positive, there are two real roots; if it is zero, there is one real root; if negative, there are no real roots.

Front

How do you determine if an absolute value equation has one solution, no solution, or two solutions?

Back

Set the expression inside the absolute value equal to both the positive and negative of the other side.

Front

What is the process for factoring a quadratic equation?

Back

Find two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.