Square Root Property
Quadratic Formula
Word Problem
Simplify
Completing the Square
100

 Use the Square Root Property to solve the quadratic equation 1/4n^2+3=4. Rough Start oops.

n= 2, -2
100

Solve x^2−6x+5=0 by using the quadratic formula

X=5, 1

100

The product of two positive consecutive integers is 462. Find the integers.

N=21,22

100

Simplify: u^6/(u^3)2

1

100

Solve x^2+8x=48 by completing the square.

x=4,-12

200

Use the Square Root Property to solve the quadratic equation 7x^2=−14.

No Solution. It Square root -2.

200

Solve x(x+6)+4=0 by using the quadratic formula.

X= -3+2 Square root 5, -3-2 Square root 5

200

The product of two consecutive integers is 132. Find the integers.

The consecutive integers are 11, 12 and −11, −12.

200

Simplify: (m/5a)^3.

m^3/125a^3

200

Solve x^2+4x=−21 by completing the square.

No Solution. 

300

Use the square roots property to solve the quadratic equation (6d+1)^2+12=13.

D=0,-1/3

300

Solve 5m^2+6m=−1 by using the quadratic formula.

m=-1/5,-1

300

The area of a rectangular placemat is 168 square inches. Its length is two inches longer than the width. Find the length and width of the placemat.

L=14 inches, W=12 inches

300

Simplify:(3yc)^3

27y^3c^3 or 27c^3y^3

300

Solve d^2+20d=21 by completing the square.

D=1,-21

400

Use the square roots property to solve the quadratic equation (y+150)^2=50.

-150+5 square root2 , -150-5 sqaure root 2

400

Solve 1/2u^2+2/3u =13 by using the quadratic formula. MWUAHAHAH

U= -2+Square root 10/3, -2-Square root 10/3. Tehe, sorry :)

400

A boat’s sail is a right triangle. The length of one side of the sail is 7 feet more than the other side. The hypotenuse is 13 feet. Find the lengths of the two sides of the sail.

5 feet & 12 feet

400

Simplify: w^z⋅w^15

w^z+15

400

Solve a^2−15a=−80 by completing the square

No Solution. Square root -95/4

500

Solve: 4x^2+3=199. Easy points :(

X=-7,7

500

Solve 4y^2−5y−3=0 by using the quadratic formula.

5+Square root 73/8 , 5-Square root 73/8

500

A large explosion causes wood and metal debris to rise vertically into the air with an initial velocity of 96 feet per second. The quadratic function h(t)=96t−16t^2 gives the height h (in feet) of the debris at time t (in seconds) after the explosion.   

How many seconds will it take before the debris falls back to the ground? Do not include units in your answer.

t=6 Seconds

500

Simplify: (m^2n)^2 (2mn^5)^4

16m^8n^22

500

Solve p^2−18p=−6 by completing the square

P= 9+5 Square root 3, 9-5 Sqaure root 3

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