Completing the Square

Finding C

100

Find c.

x²+12x+c-c+20.

c=36

200

Find c.

x²+14x+c-c-5.

c=49

300

Find c.

x²+2x+c-c+11.

c=1

400

Find c.

x²-10x+c-c+2.

c=25

500

Find c.

x²-24x+c-c+20.

c=144

Simplifying Radicals

100

Simplify the square root of 4.

2

200

Simplify the square root of 625.

25

300

Simplify the square root of 75.

5 square roots of 3.

400

Simplify the square root of 84.

2 square roots of 21

500

Simplify the square root of 48.

4 square roots of 3.

Squared Expressions

100

Write the first three terms as a squared expression.

x²+4x+4

(x+2)²

200

Write the first three terms as a squared expression.

x²+8x+16

(x+4)²

300

Write the first three terms as a squared expression.

x²-10x+25

(x-5)²

400

Write the first three terms as a squared expression.

x²-20x+100

(x-10)²

500

Write the first three terms as a squared expression.

x²-22x+121

(x-11)²

Completing the Square (x2 points, cannot access till THIRD ROUND)

100

Solve x²+6x-7=0 for x by completing the square.

x=-7, x=1

200

Solve x²-4x=-3 for x by completing the square.

x=1, x=3

300

Solve x²+16x-24=0 for x by completing the square.

x=-2squarerootof22 - 8

x=2squarerootof22 - 8

400

Solve x²-2x=23 for x by completing the square

x=1+2squarerootof6

x=1-2squarerootof6

500

Solve x²-8x=68 for x by completing the square.

x=4+3squarerootsof14

x=4-3squarerootsof14

Surprise

100

Name 2 states that share a border with Utah.

Nevada, Arizona, Idaho, Wyoming, Colorado

200

Who is Bruce Lee?

A famous martial artist, movie star and cultural icon.

300

Name one of the top 5 most popular books of all time.

1) The Koran

2) The King James Bible

3) Quotations from Chairman Mao Tse-tung

4) Don Quixote

5) Harry Potter series

400

What is Yoda's last name?

He doesn't have one.

500

Name a body part that continues to grow throughout your life.

Nose and ears