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Simplify and Solve
Linear Relationships
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System of Equations
100

Algebra tiles are named after their?

Area

100

5(x+1)=15

x=2

100

What equation do we use for linear relationships

y=mx+b

100

(x+1)(x+1)

x2+2x+1

100

y=-2x+5

y=x-1

x=2

y=1

200

Which method is best used to solve this system of equations

4y+x=2

6y-x=8


Elimination Method

200

3x-5y=21+y

x=7+2y

200

Graph the equation of this line:

y=2x+4

200

(x+2)(x-1)

x2+x-2

200

y=x+1

x+y=-1

x=-1

y=0

300
Combine like terms


-5x+6+8+7x-10+3x

5x+4

300

5(3x-6+x-2)=40

x=4

300

Find the equation of the following tile pattern:

y=2x+3

300

(2x+1)(x-5)

2x2-9x-5

300

3x+y=5

2x-y=0

x=1

y=2

400

Given the Point of Intersection (-5,4), 

What can you say about the solution to the system?

x=-5

y=4

400

|3x-3|=9

x=4

x=-2

400

Find the equation of the following table:

y=4x+3

400

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

6x2-x-1

400

y=4x+7

y=2x+3

x=-2

y=-1

500

Find the area as a SUM and as a PRODUCT of the following Algebra tiles


Areas=2x2+7x+6

Areap= (x+2)(2x+3)

500

y2+7=(y+1)(y+1)

y=3

500

In detail explain what m and b are in the slope intercept form y=mx+b

m= slope, rate of change, change of y/ change of x, rise/run

b= y-intercept, initial value, starting point

500

(x2+3x+2)(x-1)

x3+2x2-x-2

500

2x+3y=8

3x+2y=7

x=1

y=2