Free Printable THE QUADRATIC FORMULA & THE DESCRIMINANT

1.

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

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

2.

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.

3.

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

4.

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

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

5.

Solve by the Quadratic Formula:

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

a)

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

b)

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

c)

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

d)

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

6.

Solve by the Quadratic Formula:

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

a)

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

b)

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

c)

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

d)

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

7.

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

a)

Two real solutions that are different

b)

Two imaginary solutions that are different

c)

One real solution

d)

One imaginary solution

8.

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

a)

Two real solutions that are different

b)

Two imaginary solutions that are different

c)

One real solution

d)

One imaginary solution

9.

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

a)

Two real solutions that are different

b)

Two imaginary solutions that are different

c)

One real solution

d)

One imaginary solution

10.

What is the discriminant of the quadratic formula?

a)

b²-4a

b)

b²-4ac

c)

b-4ac

d)

b²-ac

11.

Solve x² - 5x + 10 = 0

a)

(5 - i√15)/2 , (5 + i√15)/2

b)

(5 - √15)/2 , (5 + √15)/2

c)

(5 - i√65)/2 , (5 + i√65)/2

d)

(5 - √65)/2 , (5 + √65)/2

12.

Solve -2x² + 4x = 9

a)

(2 - i√14)/2 , (2 + i√14)/2

b)

(2 - i√-56)/2 , (2 + i√-56)/2

c)

(2 - i√-14)/2 , (2 + i√-14)/2

d)

(2 - √14)/2 , (2 + √14)/2

13.

____________
For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

14.

____________
For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

15.

Determine the values of

a, b, and c for

the quadratic equation:

4x² – 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

16.

Determine the value of the discriminant and describe the number and type roots for the following:

x² + 7x + 13

a)

101, 2 real roots

b)

3, 2 real roots

c)

-101, 2 imaginary roots

d)

-3, 2 imaginary roots

17.

Use the quadratic formula to solve 2x² + 2x - 12?

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

18.

Determine the number of solutions using the discriminant.

x² + 25 = 0

a)

1 solution; parabola will have one x-intercept

b)

no real solutions; parabola will not touch the x-axis

c)

2 solutions; parabola will cross the x-axis in two places

d)

I'm tired and want to go home

19.

Determine the number of solutions using the discriminant.

x² - 11x + 28 = 0

a)

No real solutions- discriminant is negative

b)

1 solution- discriminant is zero

c)

2 solutions- discriminant is positive

d)

Why is Mrs. Brown making us work today?

20.

$Solve\ 3x^2+4x+10=0$

a)

$x=-\frac{2}{3}\pm\frac{i\sqrt{26}}{3}$

b)

$x=\frac{2}{3}\pm\frac{i\sqrt{26}}{3}$

c)

$x=-\frac{1}{3}\pm\frac{i\sqrt{24}}{3}$

d)

$x=\frac{1}{3}\pm\frac{i\sqrt{24}}{3}$

THE QUADRATIC FORMULA & THE DESCRIMINANT

Total questions: 20

Worksheet time: 5hrs 0mins

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