Number Operations
Properties
Simplify the Expression
Solve the Equation
Special Solutions
100

-6+9

3

100

Name the property:

 7+x=x+7 

Commutative Property

100

Simplify:

 3x+4x 

7x

100

Solve:

 x-6=10 

 x=16 

100

Solve:

 x+3=x+5 

No Solution

200

4(-3)

-12

200

Name the property:

 (2+x)+5=2+(x+5) 

Associative Property


200

Simplify:

 2(x+5) 

 2x+10 

200

Solve:

 3x=15 

 x=5 

200

Solve:

 2x-4=2x-4 

All Real Numbers / Infinitely Many Solutions

300


 2/3+1/6 


 5/6 

300

Name the property:

 4(2+x)=8+4x 

Distributive Property

300

Simplify:

 3(x+4)-x 

 2x+12 

300

Solve:

 4x+5=21 

 x=4 

300

Solve:

 3(x+2)=3x+1 

No Solution

400

 0.75*0.4 

0.30

400

Name the property:

 x+0=x 

Identity Property of Addition


400

Simplify:

 -2(2x-3)+4 

 -4x+10 

400

Solve:

 5x-7=18 


 x=5 

400

Solve:

 2(2x-5)+6=4x-4 

All Real Numbers / Infinitely Many Solutions

500

 -8+3(-4) 

-20

500

Name the property:

 1(x)=x 

Identity Property of Multiplication

500

Simplify:

 4(x-3)+2x 

 6x-12 

500

Solve:

 2x+4=3x-5 

 x=9 

500

Create an equation that has no solution

Answers may vary - check with teacher

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