Properties of Real Numbers

$2+7=7+2$

$3\times5=5\times3$

$7-2=2-7$

$50\div10=10\div50$

$\left(5+2\right)+6=5+\left(2+6\right)$

$\left(5\times2\right)\times6=5\times\left(2\times6\right)$

$\left(5-2\right)-3=5-\left(2-3\right)$

$\left(20\div4\right)\div2=20\div\left(4\div2\right)$

 $4\left(3+2\right)=\left(4\times3\right)+\left(4\times2\right)$  

 $5\left(6+7\right)=56+57$  

 $4\left(3+2\right)=\left(4+3\right)\times\left(4+2\right)$  

 $5\left(6+7\right)=5\times6\times7$  

3 + 0 = 3

5 + 0 = 0

7 + 0 = 70

3 + 0 = 3

8(1) = 8

10(1) = 11

5(1) = 51

6(1) = 6

5 + (-5) = 0

6 + (-6) = -12

2 + (-2) = 0

8 + (-7) = 0

 $8\ \times\frac{1}{8}=1$  

 $5\times\frac{1}{5}=0$  

 $6\times\frac{1}{12}=1$  

 $3\times\frac{1}{3}=1$  

5x = 10 then 5x + 2 = 12

3x = 9 then 3x + 3 = 9

4x = 8 then 4x - 4 = 4

6x = 12 then 6x - 3 = 6

y = 3 then 4y = 4(3)

x = 2 then 2x = 22

y = 6 then 3y = 3

x = 4 then 2x = 8

Variables

Expressions

Order of Operations

Combine like terms