Quadratic Equations Quiz

Which method is used to solve a quadratic equation in the form ax² = c?

• Factoring

• Completing the square

• Extracting the square root

• Quadratic formula

What is the quadratic formula?

• x=(-b±√(b²-4ac))/(2a)

• x=(b±√(b²-4ac))/(2a)

• x=(-b+√(b²-4ac))/(2a)

• x=(-b-√(b²-4ac))/(2a)

In the process of completing the square, what form does the quadratic equation take?

• ax² + bx + c = 0

• (x - h)² = k

• (x + p)(x + q) = 0

• a(x - r)² = 0

Which of the following is NOT a step in solving quadratic equations by completing the square?

• Move the constant term to the right side.

• Divide all terms by the coefficient of x².

• Take the square root of both sides of the equation.

• Multiply through by a.

For the quadratic equation x² - 4x - 5 = 0, what is the factored form?

• (x - 1)(x + 5)

• (x - 5)(x + 1)

• (x + 1)(x - 5)

• (x - 5)(x - 1)

What does the discriminant b² - 4ac of a quadratic equation indicate?

• The vertex of the parabola

• The axis of symmetry

• The number and type of solutions

• The direction of the parabola

How many real roots does a quadratic equation have if the discriminant is zero?

• Zero

• One

• Two

• Infinitely many

If a quadratic equation is in the form a(x - h)² = k, which method was likely used to solve it?

• Extracting the square root

• Factoring

• Using the quadratic formula

• Completing the square

What is the first step in factoring the quadratic equation x² + 7x + 10 = 0?

• Find two numbers that add to 7 and multiply to 10.

• Apply the quadratic formula.

• Complete the square.

• Simplify the equation.

In the quadratic formula, what does the term b² - 4ac represent?

• The vertex of the parabola

• The axis of symmetry

• The distance between the roots

• The two possible values for the roots