Solving Quadratics- Complete square/ factoring

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

What do you do to the b value to correctly complete the square?

• square it
• divide it by 2 and square the result
• divide it by 2 and take the square root of the result
• divide it by 2 only

Tags

CCSS.HSA-REI.B.4B

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4
• 2
• 8
• 20

Tags

CCSS.HSA-REI.B.4B

When do you use the plus or minus symbol?
±

• After taking the square root of both sides
• After adding the square to both sides
• After taking half of b
• After setting the equation equal to zero

Tags

CCSS.HSA-REI.B.4B

What is one of the solutions to this equation?
(2x - 1)² = 49

• 7
• -7
• -4
• -3

Tags

CCSS.HSA-REI.B.4B

Write the following quadratic expression in completed square form...

x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratics equation by completing the square...

x² - 10x - 5 = 0

• x = -5 ± √30

• x = 5 ± √30

• x = 30 ± √5

• x = -30 ± √5

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratics equation by completing the square...

x² + 6x - 3 = 0

• $-3\pm2\sqrt{3}$

• $3\pm2\sqrt{3}$

• $12\pm\sqrt{3}$

• $-12\pm\sqrt{3}$

Tags

CCSS.HSA-REI.B.4B

Which equation shows  $x^2+8x+9=0$  after the method of completing the square has been applied?

•  $\left(x+2\right)^2=-5$  

•  $\left(x+4\right)^2=7$  

•  $\left(x+8\right)^2=55$  

•  $x^2=-\left(8x+9\right)$  

Tags

CCSS.HSA-REI.B.4B

 $2x^2+3x-4=0$  When the quadratic formula is applied to , what is the numerator of the simplified answer?

•  $3\pm\sqrt{41}$  

•  $-3\pm\sqrt{41}$  

•  $3\pm\sqrt{38}$  

•  $-3\pm\sqrt{-23}$  

Tags

CCSS.HSA-REI.B.4B