Solving multi-step problems using quadratic equations in one variable

What value of c would make this a perfect sqaure trinomial?

x² +8x + c

• 4

• 16

• 64

• -16

• 8

Tags

CCSS.HSA-REI.B.4B

Find the value of  $c$   that makes  $x^2-24x+c$   a perfect square.

• 12

• 24

• 144

• 576

Tags

CCSS.HSA-REI.B.4B

What's the best method for solving this quadratic equation?

 $4x^2-12x\ +\ 3\ =\ 7$  

• Product of Perfect Squares

• Difference of Perfect Squares

• Completing the Square

• AC Method

Tags

CCSS.HSA-REI.B.4B

Complete the square: x²-20x+22

• (x-10)²-78
• (x+10)²-87
• (x+10)²-125
• (x-10)²+55

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

Use DOTS to factor the following polynomial, and then determine the solutions:
 $y=x^{2\ }-36$  

• x=6

• x=6, x=-6

• x=18, x=-18

• There are no solutions

Tags

CCSS.HSA-REI.B.4B

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

• the -4x

• the 9

• the x²

Tags

CCSS.HSA-REI.B.4B

• none of these

Tags

CCSS.HSA-REI.B.4B

In completing the square, 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

Solve the following equation for x:

0 = (x + 6)² +16

• No real solutions

• x = −10 and x = −2

• x = 6 and x = 16

• x = 10 and x = 2

Tags

CCSS.HSA-REI.B.4B