2.4 No, Infinitely many or one soliton

A

100

If I solve an equations and get this

3=3

What kind of solution is this?

Infinitely Many solutions 

because 3 will always equal 3

200

If I solve an equations and get this

3=9

What kind of solution is this?

No solution

because 3 will never equal 9

300

If I solve an equations and get this

x=3

What kind of solution is this?

One solution

x=3 is the only solution to balance the equation

400

3x+4=3x+4

Solve

4=4 true statement

Infinitely many solution 

500

3x+5=3x+8

Solve

5=8

No solution 

B

100

3x+1=2x+2

Solve

x=1

one solution

200

5x+2x+3=7x+3

Solve

7x+3=7x+3

3=3

Infinitely many solutions

300

5x+2x+3=7x+5

Solve

7x+3=7x+5

3=5 false

No solution

400

5x+3=7x-9

Solve

3=2x-9

12=2x

6=x

500

Create 2 equations that when solved will have no solution.

example: 5x+4=5x-6

4=-6 false 

No solution

C

100

Create two equations that when solved have infinitely many solutions. 

Example: 3x+6=3x+6

Example: 2(x+4)=2x+8

200

Write an equation that will have one solution

Example: 5x+3=2x+1

300

3x+7= 3(x-2)

Solve

3x+7=3x-6

7=-6 false

No solution

400

Carlo and Helen spend the same amount of money on art supplies. Carlo buys 4 glue sticks and spends $3 on glitter. Helen buys 2 glue sticks and spends $3.75 on tape and $2.75 on paint. What is the cost, x, of each glue stick?

Carlo: 4x+3  equals Helen: 2x+3.75+2.75

4x+3=2x+3.75+2.75

4x+3=2x+6.5

2x=3.5

x=1.75 is the cost of the glue stick

500

Solve 

6x+26x-10=8(4x+10)

32x-10=32x+80

-10=80 false no solution