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Quadratic Formula Review

Total questions: 12

Worksheet time: 17mins

Name
Class
Date
1.

Given −8x2+6x−7=0-8x^2+6x-7=0  

Label the values

a)

a = -8

b = 6

c = -7

b)

a = -7

b = -8

c = 6

c)

a = -8x2

b = 6x

c = -7

d)

a = 6

b = -7

c = -8

2.

Given x2=5x−9x^2=5x-9   

Label the values

a)

a = 0

b = 5

c = -9

b)

a = 1

b = -5

c = 9

c)

a = 0

b = -5

c = -9

d)

a = 1

b = -5

c = -9

3.

How do you find the discriminant?

a)

a2 − 4bca^{2\ }-\ 4bc  

b)

x=−b2ax=-\frac{b}{2a}  

c)

b2−4acb^2-4ac  

d)

c=(12b)2c=\left(\frac{1}{2}b\right)^2   

4.

If the discriminant is positive, then the solution will be

a)

one real solution

b)

two real solutions

c)

no real solutions

d)

all real numbers

5.

If the discriminant is negative, then the solution will be

a)

one real solution

b)

two real solutions

c)

no real solutions

d)

all real numbers

6.

Determine the value of the discriminant

x2 + 7x + 13=0

a)

101

b)

3

c)

-101

d)

-3

7.

For the function below, what is the discriminant?

___________

x² + 8x + 16 = 0

a)

4

b)

-4

c)

0

d)

2

8.

What all must occur BEFORE you can use the Quadratic Formula? Check ALL that apply.

a)

Get the equation equal to zero

b)

Get the equation in Standard Form

c)

Get the equation in Vertex Form

d)

Divide the equation by 2

9.

Solve using the quadratic formula :

x2 - 7x + 12 = 0

a)

x = 3, -4

b)

x = -3, 4

c)

x = 3, 4

d)

x = -3, -4

10.

Use the quadratic formula to find the solutions for

y = -x2 - 5x + 12

a)

No Real Solution

b)
c)
d)
11.

3x2−10x+1=03x^2-10x+1=0  

Solve using the quadratic formula.

a)

x=−10±886x=\frac{-10\pm\sqrt{88}}{6}  

b)

x=−5±2223x=\frac{-5\pm2\sqrt{22}}{3}  

c)

x=10±1126x=\frac{10\pm\sqrt{112}}{6}  

d)

x=5±223x=\frac{5\pm\sqrt{22}}{3}  

12.

2x2=8x+32x^2=8x+3

 

Step 1: 2x2−8x−3=02x^2-8x-3=0  

Step 2: x=8±64−4(2)(−3)4x=\frac{8\pm\sqrt{64-4\left(2\right)\left(-3\right)}}{4}  

Step 3: x=8±404x=\frac{8\pm\sqrt{40}}{4}

Step 4: x=8±2104x=\frac{8\pm2\sqrt{10}}{4}  

Step 5: x=4±102x=\frac{4\pm\sqrt{10}}{2}  

Suzanne solved the equation using this process.

Did she make a mistake?

If yes, in which line does her first mistake appear?

a)

Suzanne made no errors.

b)

Step 2

c)

Step 3

d)

Step 4

e)

Step 5