Chapter 3 Review

Algebra Tiles

100

Algebra tiles are named after their

Area

200

How do you find the area of a rectangle?

Area = L x W

300

Find the Area as a product

(x+4)(x+2)

400

Find the Area as a sum

x²+6x+9

500

Write equivalence equation of this algebra tile

4y²+10y+4=(4y+2)(y+2)

Generic Rectangle

100

16(3-m²)

48-16m²

200

(x+2)(x+7)

x²+9x+14

300

(2x+1)(3x-2)

6x²-x-2

400

-2x²(15x²-3t)

-30x⁴+6x²t

500

(x+2)(x+3)(x+4)

x³+9x²+26x+24

Exponent Rules

100

x³x⁵

x³⁺⁵=x⁸

200

x¹²/x⁸

x^12-8=x⁴

300

(x⁴)⁵

x^4*5=x²⁰

400

(5x)⁰

1

500

x^-8/x²

1/x¹⁰

Solving for X

100

3x+2=11

x = 3

200

x²+2=27

x=5

300

2x-6y=10

x=3y+5

400

(x+1)/y=2

x=2y-1

500

x²-y²=36

x= square root(y²+36)

Bringing it all together!

100

6x-1=5x+3

x=4

200

5x(x-1)=(5x+2)(x-5)

x=-5/9

300

5x²+43=(x-1)(5x+6)

x=49

400

(x+1)(x+3)=(x+2)(x+4)

x=-5/4

500

y=7-3(x-y)

x=-2y-7/-3