Study Guide: CTS and Quad Formula CPE

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero
• Divide 10 by 2 and add the result to both sides
• Add a² and 10a together
• Subtract the 21

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
y² + 10y = -9

• 1 and -12
• -1 and -9
• 1 and -9
• 1 and -1

Tags

CCSS.HSA-REI.B.4B

Solve by Completing the Square: Round to the nearest tenth.

2x²+4x-5=7

• -0.4 and -3.4

• -2.3 and 4.3

• -3.6 and 1.6

• no solution

Tags

CCSS.HSA-REI.B.4B

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

Tags

CCSS.HSA-REI.B.4B

Determine the value of the discriminant and name the nature of the roots for the following:
x² + 7x + 13
Remember:  b² - 4ac

• 400, 2 real root 
• 0, 1 real root

• -400, 2 nonreal roots

• -3, 2 nonreal roots

Tags

CCSS.HSA-REI.B.4B

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

• Positive
• Negative
• Zero
• Not Sure

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

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

• Positive
• Negative
• Zero
• Not Sure

Tags

CCSS.HSA-REI.B.4B

A function has a discriminant of 25.
______________
How many solutions does it have?

• 0
• 1
• 2
• 5

Tags

CCSS.HSA-REI.B.4B

Determine the values of

a, b, and c for

the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

If the discriminant is positive, then the solution will be

• one real solution

• two real solutions

• no real solutions

• one imaginary solution

Tags

CCSS.HSA-REI.B.4B