Completing the Square Jeopardy Template

Solving Square Root

Perfect Square Trinomials

Solving Complete the Square

Vertex Form

Miscellaneous

100

Solve the equation. (x-2)²=16

-2 and 6

100

Complete the square for each expression. Write the resulting expression as a binomial squared. x²+14x+?

x²+14x+49=(x+7)²

100

Solve the equation by completing the square. x²-6x+4=0

3±√5

100

Write each function in vertex form, and identify its vertex. f(x)=x²-4x+13

f(x)=(x-2)²+9 (2,9)

100

Using the vertex form, in what direction would the following graph move?

f(x) = (x+5)²-13

The graph will move 5 to the left AND 13 down

200

Solve the equation. (x-3/2)²=13

3/2±√13

200

Complete the square for each expression. Write the resulting expression as a binomial squared. x²-12x+?

x²-12x+36=(x-6)²

200

Solve the equation by completing the square. x²-10x-4=0

5±√29

200

Write each function in vertex form, and identify its vertex. g(x)=x²-10x+11

f(x)=(x-5)²-14 (5,-14)

200

What must be add to the expression x²+bx to complete the square?

This is what we normally do but with variables!!

(b/2)²

300

Solve the equation. (x-5)²=16

1 and 9

300

Complete the square for each expression. Write the resulting expression as a binomial squared. x²+338x+?

(x+169)²

300

Solve the equation by completing the square.

x²+4x-24=0

-2±√28

300

Write each function in vertex form, and identify its vertex. h(x)=x²-12x-6

h(x)=(x-6)²-42 (6,42)

300

What is the vertex of f(x)=(x+55)²+100

(-55,100)

400

Solve the equation. 4(x-1)²=12

1±√3

400

Is x²-5x+25 a perfect square trinomial? AND what would make it a perfect square trinomial?

No AND x²-10x+25

400

Solve the equation by completing the square.

x²+10x=42

-5±√67

400

Write each function in vertex form, and identify its vertex. f(x)= 2x²-8x-4

HINT: (Divide out the common factor first)

f(x)=(x-2)²-12 (2, -12)

400

Factor 4x²-25

(2x+5)(2x-5)

500

Solve the equation. 2(x+4)²=12

-4±√6

500

Complete the square for each expression. Write the resulting expression as a binomial squared with fractions not decimals.

x²-9x+?

x²-9x+81/4=(x-9/2)²

500

Solve the equation by completing the square. 2x²+12x+2=0

HINT: (Divide out the common factor first)

x= -3±√8

500

Write each function in vertex form, and identify its vertex. h(x)=9x²+36x+25

HINT: (Divide out the common factor first)

h(x)=(x+2)²+9 (-2,9)

500

factor 36x²-1

(6x+1)(6x-1)