Quadratic Functions Quiz

A quadratic equation has a discriminant value of -16. How many real number solutions are there?

• 0

• 1

• 2

Tags

CCSS.HSA-REI.B.4B

What is the value of the discriminant of the quadratic equation $5x^2\ -2x\ +1\ =0$ and how many real number solutions are there?

• The discriminant = -16, with 0 real number solutions.

• The discriminant = 24, with 0 real number solutions.

• The discriminant - 24, with 2 real number solutions.

Tags

CCSS.HSA-REI.B.4B

Quincy uses the quadratic formula to solve for the values of x in a quadratic equation. He finds the solution to be $x\ =\ \frac{\left(-3\ \pm\sqrt{-19}\right)}{2}$ . Which best describes how many real number solutions the equation has? 

• 1, because the negative an the minus cancel each other out.

• 2, because of the  $\pm$  .

• 0, because the discriminant is negative.

Tags

CCSS.HSA-REI.B.4B

Mattie uses the discriminant to find the number of zeros the quadratic equation $3x^2-7x+4\ =0$ has.  Which best describes the discriminant and the number of zeros? 

• The equation has 1 zero because the discriminant is 1.

• The equation has 2 zeros because the discriminant is  $>$  0.

• The equation has 0 zeros because the discriminant is not a perfect square.

Tags

CCSS.HSA-REI.B.4B

Anderson uses the discriminant to correctly find the number of real solutions for $\frac{1}{2}x^2\ +\ 4x\ +\ 8\ =\ 0.$  Which answer is correct?

• The equation has 0 real number solutions because the discriminant = 0.

• The equation has 1 real number solutions because the discriminant = 0.

• The equation has 2 real number solutions because the discriminant > 0.

Tags

CCSS.HSA-REI.B.4B

What is the value of the discriminant of the quadratic equation $2x^2\ -8x\ +8\ =\ 0$ , and what does its value mean about the number of real number solutions the equation has? 

• The discriminant = 0, which means there are 0 real number solutions.

• The discriminant = 0, which means there are 1 real number solutions.

• The discriminant = 128, which means there are 2 real number solutions.

Tags

CCSS.HSA-REI.B.4B

What is the positive solution to the equation  $-x^2\ +2x\ +\ 1\ =0?$  Remember to use the quadratic formula   $x\ =\ \frac{\left(-b\ \pm\sqrt{b^2-4ac}\right)}{2a}$ .

•  $-2\ +\ \sqrt{2}$  

•  $2\ -\ \sqrt{2}$  

•  $1\ +\ \sqrt{2}$  

Tags

CCSS.HSA-REI.B.4B

In simplest radical form, what are the solutions to the quadratic equation  $x^2\ -10x\ -6\ =0$ ? Remember the quadratic formula  $x\ =\ \frac{\left(-b\ \pm\sqrt{b^2\ -4ac}\right)}{2a}$   

•  $x\ =\ 5\ \pm\sqrt{31}$  

•  $x\ =\ 5\ \pm\sqrt{19}$  

•  $x\ =\ 5\ \pm\ 2\sqrt{31}$  

Tags

CCSS.HSA-REI.B.4B

Rhett is solving the quadratic equation  $x^2\ -2x\ -3\ =\ 0$  using the quadratic formula.  Which shows the correct substitution of the values a, b, and c into the quadratic formula?
Remember the quadratic formula is  $x\ =\ \frac{\left(-b\ \pm\sqrt{b^2\ -4ac}\right)}{2a}$  

•  $\frac{2\ \pm\sqrt{\left(-2\right)^2\ -4\left(1\right)\left(-3\right)}}{2\left(1\right)}$  

•  $\frac{-2\ \pm\sqrt{\left(-2\right)^2\ -4\left(1\right)\left(-3\right)}}{2\left(1\right)}$  

•  $\frac{2\ \pm\sqrt{-2^2\ -4\left(1\right)\left(-3\right)}}{2\left(1\right)}$  

Tags

CCSS.HSA-REI.B.4B

What is the discriminant of the quadratic equation $-x^2\ +\ 4x\ -2\ =\ 0$  ?

• 24

• 12

• 8

Tags

CCSS.HSA-REI.B.4B