Solving Quadratics with the Quadratic Formula

1.

Multiple Choice

1 min

1 pt

What is this formula?

This is the speed of light formula.

This is the quadratic formula.

This is the zero product property.

This is scary.

2.

Multiple Choice

5 mins

1 pt

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

a=0, b=5, c=7

a=1, b=5, c=7

a=7, b=5, c=1

3.

Multiple Choice

5 mins

12 pts

What should you do first in solving this equation?
x² + 6x - 13 = 3

Get factored form

Write down: a=1, b=6, c=-13

Make it equal 0 by subtracting 3 on each side

Type it all in a calculator.

4.

Multiple Choice

5 mins

1 pt

Solve Using the Quadratic Formula
2x² + 7x - 15 = 0

-1.5 or 5

No Solution

-5 or 1.5

0.7 or 5

5.

Multiple Choice

5 mins

1 pt

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

-10 & -4

-4 & 10

-8 & 4

8 & -4

6.

Multiple Choice

5 mins

1 pt

Solve by the Quadratic Formula:

$9u^2-11u+7=0$

$\frac{-11\pm\sqrt{131}}{18}$

$\frac{11\pm\sqrt{131}}{18}$

$\frac{11\pm\sqrt{131}}{-18}$

$\frac{11\pm i\sqrt{373}}{18}$

7.

Multiple Choice

5 mins

1 pt

Solve by the Quadratic Formula:

$-12q^2+3q+7=0$

$\frac{-3\pm\sqrt{345}}{24}$

$\frac{3\pm\sqrt{345}}{-24}$

$\frac{3\pm\sqrt{345}}{24}$

$\frac{3\pm i\sqrt{39}}{24}$

8.

Multiple Choice

1 min

1 pt

Solve by the Quadratic Formula:

$18j^{2\ }+9j\ +16=12+7j^2$

$\frac{-9\pm i\sqrt{95}}{22}$

$\frac{-9\pm\sqrt{95}}{22}$

$\frac{9\pm i\sqrt{95}}{22}$

$\frac{9\pm\sqrt{95}}{22}$

9.

Multiple Choice

1 min

1 pt

If b²-4ac is positive, the quadratic equation has:

Two real solutions that are different

Two imaginary solutions that are different

One real solution

One imaginary solution

10.

Multiple Choice

1 min

1 pt

If b²-4ac is negative, the quadratic equation has:

Two real solutions that are different

Two imaginary solutions that are different

One real solution

One imaginary solution

11.

Multiple Choice

1 min

1 pt

If b²-4ac is 0, the quadratic equation has:

Two real solutions that are different

Two imaginary solutions that are different

One real solution

One imaginary solution

12.

Multiple Choice

1 min

1 pt

What is the discriminant of the quadratic formula?

b²-4a

b²-4ac

b-4ac

b²-ac

13.

Multiple Choice

5 mins

1 pt

What are the zeros of the function f(x) = x² + 64?

-8 and 8

-8i and 8i

(-√8) i and (√8) i

-√8 and √8

14.

Multiple Choice

5 mins

1 pt

Solve x² - 5x + 10 = 0

(5 - i√15)/2 , (5 + i√15)/2

(5 - √15)/2 , (5 + √15)/2

(5 - i√65)/2 , (5 + i√65)/2

(5 - √65)/2 , (5 + √65)/2

15.

Multiple Choice

5 mins

1 pt

Solve -2x² + 4x = 9

(2 - i√14)/2 , (2 + i√14)/2

(2 - i√-56)/2 , (2 + i√-56)/2

(2 - i√-14)/2 , (2 + i√-14)/2

(2 - √14)/2 , (2 + √14)/2

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