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Worksheets

Quadratic Formula with Rational Solutions

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

If the solutions of a quadratic equation are 2±352\pm3\sqrt[]{5}  , the following is true about the equation:

a)

discriminant: perfect square

b)

discriminant: non-perfect square

c)

discriminant: negative

d)

2 x-intercepts

e)

1 x-intercept

2.

If the discriminant of a quadratic equation is 25, the following is true about the solutions:

a)

1 solution

b)

2 solutions

c)

rational

d)

irrational

e)

complex

3.

With a quadratic equation, which methods or concepts require you to set the equation equal to zero first?

a)

discriminant

b)

directrix

c)

quadratic formula

d)

completing the square

e)

factoring

4.

Complete the quadratic formula

Choose from the below words

b-b  

b24acb^2-4ac  

2a2a  

bb  

2b4ac2b-4ac  

b24cb^2-4c  

22  

a2a^2  

b2acb^2-ac  

2b2b  

5.

Use the quadratic formula to type an expression that will yield the solutions to the equation above. You cannot type ±\pm on the keyboard so instead put ++- DO NOT SIMPLIFY ANYTHING. JUST PLUG IN WITH PARENTHESES.

6.

Use the quadratic formula to type an expression that will yield the solutions to the equation above.

You cannot type ±\pm on the keyboard so instead put ++-

DO NOT SIMPLIFY ANYTHING. JUST PLUG IN WITH PARENTHESES.

7.

Make a true statement about about Graph A

The discriminant is ​ (a)  

There will be ​ (b)  

Choose from the below words

zero

one real solution

positive

negative

two complex solutions

two real solutions

8.

Make a true statement about about Graph B

The discriminant is ​​ (a)  

There will be ​ ​ (b)  

Choose from the below words

negative

two complex solutions

positive

zero

one real solution

two real solutions

9.

The discriminant is

a)

ax2 + bx + c

b)

b - 4ac

c)

b2 - 4ac

d)

b2 + 4ac

10.

Solve using the Quadratic Formula


6x2 - 52 = 11x

a)

x = 4, -2.17

b)

x = -4, 2.17

c)

x = -3.71, -1.88

d)

x = 3.71, 1.88