Free Printable Quadratic Formula

1.

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

a)

Get factored form

b)

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

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

2.

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

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

3.

Identify the 'c' value: y = 16x² -8x -24

a)

16

b)

-8

c)

24

d)

-24

4.

Name "c" for the equation
4x² - 5x + 7 = 10

a)

7

b)

17

c)

-5

d)

-3

5.

Determine the values of A, B, and C for the quadratic equation:

4x^2\ -\ 8x\ =\ 3

a)

$A\ =\ 4,\ B\ =\ -8,\ C\ =\ 3$

b)

$A=4,\ B=-8,\ C=-3$

c)

$A=4,\ B=8,\ C=3$

d)

$A=4,\ B=8,\ C=-3$

6.

When a quadratic equation is graphed, it creates a

a)

Square

b)

Circle

c)

Parabola

d)

Line

7.

If the discriminant equals 0, then the quadratic has:

a)

1 Solution

b)

2 Real Solutions

c)

No solutions

d)

2 Imaginary Solutions

e)

1 Real Solution, and an Imaginary Solution named Harvey.

8.

If the discriminant is negative, you will have....

a)

two real solutions

b)

two irrational solutions

c)

two imaginary solutions

d)

one solution

9.

Solve using the quadratic formula.

2x^2\ -\ 9x\ -35\ =\ 0

a)

$x\ =\ \frac{7}{2}\$ and $-6$

b)

$x\ =\ -\frac{5}{2}\$ and $5$

c)

$x\ =\ \frac{3}{7}\$ and $6$

d)

$x\ =\ -\frac{5}{2}\$ and $7$

10.

This graph represents a quadratic equation that will have:

a)

2 imaginary roots

b)

2 real roots

c)

1 real root and 1 imaginary root

11.

$2m^2=-2m+12$
Solve using the quadratic formula.

a)

$x=2,-3$

b)

$x=3,-2$

c)

$x=1\pm\sqrt{13}$

d)

No Solution

12.

Solve the following equation:

x^2\ -\ 5x\ +\ 10\ =\ 0

a)

$\frac{\left(5\ -\ \sqrt{15}\ i\right)}{2}\ \ ,\ \frac{\left(5\ +\ \sqrt{15}\ i\right)}{2}$

b)

$\frac{\left(5\ -\ \sqrt{15}\right)}{2}\ ,\ \frac{\left(5\ +\ \sqrt{15}\right)}{2}$

c)

$\frac{\left(5\ -\ \sqrt{65}\ i\right)}{2}\ ,\ \frac{\left(5\ +\ \sqrt{65}\ i\right)}{2}$

d)

$\frac{\left(5\ -\ \sqrt{65}\right)}{2}\ ,\frac{\left(5\ +\ \sqrt{65}\right)}{2}$

13.

$x^2\ +\ 25\ =\ 10x$

Solve the following quadratic equation:

a)

$x\ =\ 5,\ -5$

b)

$x\ =\ -5$

c)

$x\ =\ 5$

d)

$x\ =\ 5\ +\ 5\sqrt{2\ }\ ,\ 5\ -\ 5\sqrt{2}$

14.

Solve Using the Quadratic Formula

$x^2\ +\ 4x\ -\ 40\ =\ -8$

a)

$x\ =\ -10\ ,-4$

b)

$x\ =\ -4\ \ ,\ 10$

c)

$x\ =\ -8\ \ ,\ 4$

d)

$x\ =\ 8\ ,-4$

15.

Solve the following equation using the quadratic formula:

$3x^2+16x+5=0$

a)

$x=\frac{1}{3},\ x=5$

b)

$x=-\frac{1}{3},\ x=-5$

c)

$x=-1,\ x=-15$

d)

$x=1,\ x=15$

Quadratic Formula

Total questions: 15

Worksheet time: 46mins

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