Solve equations

Algebra tiles

100

Area of this: 

y+y²+x²+x+x

=y²+y+x²+2x

200

Perimeter of this:

x+1+1+x+x+x+1+1

=4x +4

300

Area and perimeter of this: 

Area y²+2y+2y+4

y²+4y+4

Perimeter: y+2+y+2+y+2+y+2

=4y+8

400

Area of this:

y+1

500

Perimeter of this:

y+1+1+y+1+1+y+1+1+1+1+y

4y +8

Combine like terms

100

2x²-7x²

-5x²

200

(x-2)-(2x+5)

x-2-2x-5

=-x-7

300

5+3(x-6)

5+3x-18

=3x-13

400

x²+3x-5+2(x²+x+1)

x²+3x-5+2x²+2x+2

=3x²+5x-3

500

(5x²-8x)-(x²-3x+9)

5x²-8x-x²+3x-9

4x²-5x-9

Algebra tile equations

100

Which is great?

Right

300

Solve the equation by algebra tiles.

No solution.

400

Which one is great?

Right

500

Solve equation by algebra tiles 

X=3

Solve equations

100

2(x+4)=12

2x+8=12

2x=12-8

2x=4

x=2

200

8x-7+2x=6x+4+4x

10x-7=10x+4

-7 =4

No solution

300

4-3x-(x-1)=5x+4

4-3x-x+1=5x-4

5-4x=5x-4

5+4=5x+4x

9=9x

x=1

400

5-2x=4x-7

5+7=2x+4x

12=6x

x=2

500

4x-5x+5-2=7x-8x+9-6

-x+3=-x+3

All numbers

Check the solution

100

Show your steps how to check x=2 is the right solution or not for 4x-4-3x=5x-3-7

4(2)-4-3(2)=-2

5(2)-2-7=0

not the solution.

300

Show your steps to check x=16 is the right solution or not for 3(x-4)=2(x+2)

3(16-4)=3(12)=36

2(16+2)=2(18)=36

Yes

400

Show your steps to check x=5 is the right solution or not for 7x-5=7x-5

7(5)-5=30

7(5)-5=30

Yes.

500

Show your steps to check x=4 is the right solution or not for 4x-5=3x-2

4(4)-5=11

3(4)-2=10

No