PEMDAS operations
Properties
Simplifying the expression
Distribution
Translation
100

7+ 54÷ 3(2)  

16

100

12(x + 4) = 12x + 48

Distribution

100

-2y + 14 – 9y + 5

-11y+19

100

 x(y + 4)      

xy + 4x

100

twice a number divided by 6 is 42

2N÷6=42

200

24-4^2 * 3 +15 

39

200

6s⋅1/6 s= 1

Inverse

200

4xy – 6xy + 5y – 9x

 -2xy+5y-9x

200

2(x – y + 8)  

2x-2y+16

200

two times the sum of number and 5

2(x+5)

300

{(7-2^2)+17}/ {-14+2*5}

 

-5

300

8 + (2 + 6) = (8 + 2) + 6

Commutative Property

300

6n2 – 2n – 3 + 5n2 – 9n – 6  

11n2-11n-9

300

1/4*(8x- 4) 

2x-1

300

one less than the product of a number and 3

3x-1

400

20^2/ {3(5-9)^2+2}

8

400

 8a + 4 = 4 + 8a

Commutative Property

400

6a2b2 + 3ab2 – a2b2 – 4ab2

5a2b- ab2

400

-1/8(4/5x-24)

-1/10x+3

400

ten increased by the quotient of a number and 2

(x÷2)+10/ 

x/2+10

500

17-25÷4+6

15

500

10k2 + (-10k2) = 0

Inverse

500

 19x2y – 4xy2 + 5xy2 – 16x2y

3x2y + xy2

500

6 + 8(4w – 7) – (2w + 1)

-51+30W

500

four times the difference of a number and 7

4(x-7)