Ways to Solve Quadratics and FSA

Completing the Square

100

Change this equation into vertex form:

x²+4x+ 7

(x+2)²+3

200

Change into Vertex form: 

x²+14x+15

(x+7)²-34

300

What is the starting trinomial?

(x+6)²-13

x²+12x+23

400

x²+9x+10

(x+(9/2))²- (41/4)

500

Change this quadratic into vertex form:

5x²+10+15=y

5(x+1)² +10

Square Rooting

100

x²=16

x=4, -4

200

-5x²+100=-400

x=10, -10

300

8x²-7=193

x=5, -5

400

10x²+9=499

x=7, -7

500

9(2x-3)²+8=449

x=5,-2

Quadratic Formula

100

2x²+6x+4=0

x=-1

x=-2

200

2x²-5x-3

x=3

x= -1/2

300

4x²+11x+6=0

x=-2

x= -3/4

400

4x²+12x+9=0

x = -3/2

500

3x²-12x-18 =0

x =2+√10 

x=2−√10

Factoring

100

x²+4x+3

x=-3

x=-1

200

x²+4x-45

x=5

x=-9

300

x²-1x-72

x=9

x=-8

400

3x²-27x+54

x=3

x=6

500

4x²+12x-112=0

x=-7

x=4

FSA

100

Combine Like terms:

1. -13x+3+16x

2. 17x-3x²-6x+9+9x²-2x

1. 3x+3

2. 6x²+15x+9

200

What would make C a complete square:

x²+8x+ C

x²+20x+ C

C=16

C= 100

300

1. (3/7)*(8/10)

2. (7/9) / (5/6)

1. 24/70= 4/15

2. 42/45= 14/15

400

Change these into percentages:

1. 20/50

2. 35/20

3. 7/10

1. 40%

2. 175%

3. 70%

500

Because of the coronavirus, your favorite store is on sale with pants 30% off and torso wear (shirts, jackets, sweaters, etc) are 40% off. You buy 3 shirts for 19.99 each and 3 pant for 49.99 each. How much did you spend?

Shirt: 35.982 + Pants: 104.979 = $140.96