Alg 2: Completing the Square Practice (2021)

Factor the perfect square trinomial.

x² - 18x + 81

• (x - 18)²

• (x - 9)²

• (x + 81)²

• (x + 9)²

Tags

CCSS.HSA.APR.C.4

When factoring  $x^2-10x+25\$  
what goes into the blank   $\left(x-\ldots\right)^2$  

• 5

• 10

• 7

• 25

Tags

CCSS.HSA-REI.B.4B

What constant term needs to be added to complete the square for:

x² + 12x + ____

• 144

• 36

• - 36

• - 144

Tags

CCSS.HSA-REI.B.4B

What constant term needs to be added to complete the square for:

x² + 14x + ____

• - 196

• 49

• - 49

• 196

Tags

CCSS.HSA-REI.B.4B

What constant term needs to be added to complete the square for:

x² + 10x + ____

• - 100

• 100

• - 25

• 25

Tags

CCSS.HSA-REI.B.4B

Convert the equation y= x²-2x-5 into vertex form using completing the square.

https://mathsbot.com/manipulatives/tiles

• y= (x-1)²-6

• y= -(x-1)²-6

• y= (x+1)²-6

• y= -(x+6)²-1

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

• f(x) = (x + 6)² + 142
• f(x) = (x + 6)² - 34
• f(x) = (x + 6)² - 38
• f(x) = (x + 6)² + 34

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Convert the equation y= x²+4x into vertex form. 

• y= (x+4)²-4
• y= (x-2)²+4
• y= (x+2)²-4
• y= (x+2)²

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Which of the following shows
f(x) = x² - 8x + 1
written in vertex form?

• f(x) = (x - 4)² - 15
• f(x) = (x - 4)² + 17
• f(x) = (x - 4)² - 17
• f(x) = (x - 4)² + 65

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Convert the equation
x²-12x+40
into vertex form

• (x+6)²-4
• (x+6)²+4
• (x-6)²-4
• (x-6)²+4

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3