Interactive multiple-choice quiz: Quadratic Formula & The Discriminant Worksheet - Reveal

A

ax² + bx + c

B

b - 4ac

C

b² - 4ac

D

b² + 4ac

A

101; 2 real roots

B

3; 2 real roots

C

-101; 2 imaginary roots

D

-3; 2 imaginary roots

A

x = -2, 3

B

x = 2, 3

C

x = 2, -3

D

x = -2, -3

A

1 Real Solution

B

2 Real Solutions

C

Half a Solution

D

2 Complex (imaginary) Solutions

A

True

B

False

A

\(\frac{3 \pm \sqrt{33}}{4}\)

B

\(\frac{-1 \pm \sqrt{13}}{2}\)

C

{2, 1}

D

\(\frac{3 \pm \sqrt{17}}{2}\)

A

\(x = (2 \pm 2i\sqrt{10})/2\)

B

\(x = (4 \pm \sqrt{40})/4\)

C

\(x = (2 \pm i\sqrt{10})/2\)

D

\(x = (2 \pm 2i\sqrt{40})/4\)

A

No solutions

B

1 Solution

C

2 Solutions

D

Infinite solutions

A

No Solutions

B

1 Solution

C

2 Solutions

D

Infinite Solutions

A

\(\frac{-1 \pm \sqrt{10}}{3}\)

B

{2, -1}

C

{2, -3}

D

{1, -2}

A

x = 7/2, x = -6

B

x = -5/2, x = 5

C

x = -3/7, x = 6

D

x = -5/2, x = 7

A

\(x = (5 - i\sqrt{15})/2, (5 + i\sqrt{15})/2\)

B

\(x = (5 - \sqrt{15})/2, (5 + \sqrt{15})/2\)

C

\(x = (5 - i\sqrt{65})/2, (5 + i\sqrt{65})/2\)

D

\(x = (5 - \sqrt{65})/2, (5 + \sqrt{65})/2\)

A

\(x = 1 \pm i\)

B

x = 3, -6

C

x = 4.8, 2.7

D

Undefined

A

\(x = \frac{-9}{2}\) and 4

B

\(x = \frac{9}{2}\) and -4

C

x = 4 and -4

D

No real solution

A

Because zero is an easy number to work with.

B

Because we are trying to find the x-intercepts and that happens when y = 0.

C

Because setting it equal to zero helps us find the y-intercepts.

D

None of the above