Answers Algebra IUnit Test

Solving Quadratic Equations: Quadratic Formula Answers

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What is the discriminant of the quadratic equation 0 = 2x2 + 3x – 5?

–37

–31

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A quadratic equation has exactly one real number solution. Which is the value of its discriminant?

−1

Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which best describes the discriminant and the number of zeros?

The equation has one zero because the discriminant is 1.

The equation has one zero because the discriminant is a perfect square.

The equation has two zeros because the discriminant is greater than 0.

The equation has no zeros because the discriminant is not a perfect square.

Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below.What are the solutions to the equation?

x = –1, 6

x = –6, 1

x = –22, 27

x = –27, 22

What is the value of the discriminant of the quadratic equation -2x2=-8x+8, and what does its value mean about the number of real number solutions the equation has?

The discriminant is equal to 0, which means the equation has no real number solutions.

The discriminant is equal to 0, which means the equation has one real number solution.

The discriminant is equal to 128, which means the equation has no real number solutions.

The discriminant is equal to 128, which means the equation has two real number solutions.

In simplest radical form, what are the solutions to the quadratic equation 0 = –3x2 – 4x + 5?Quadratic formula: x =

x =

x =

x =

x =

What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?

–4

Anderson uses the discriminant to correctly find the number of real solutions of the quadratic equation x2 + 4x + 8 = 0. Which explanation could Anderson provide?

The equation has no real number solutions because the discriminant is 0.

The equation has one real number solution because the discriminant is 0.

The equation has no real number solutions because the discriminant is less than 0.

The equation has two real number solutions because the discriminant is greater than 0.

What is the positive solution to the equation 0 = –x2 + 2x + 1?Quadratic formula: x =

–2 +

2 –

1 +

–1 +

A quadratic equation of the form 0=ax2+bx+c has a discriminant value of -16. How many real number solutions does the equation have?

-1

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Solving Quadratic Equations: Quadratic Formula Answers

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