Order of Operations, Evaluate , and Simplify
Properties
Solving Basics
Proportions
Absolute Value
100

42

16
100

2(x - 4) = 2x - 8

Distributive

100

4x - 7 = 21

x = 7

100

x/3 = 2/5

6/5 = 1.2

100

l -4 + 2 l

2

200

-42

-16

200

if 5 + 2 = 7, then 7 = 5 + 2.

Symmetric

200

12 = -3(x - 7)

3

200

3x/5 = 9/1

15

200

If the lxl = 20, then x equals what?

20 or -20

300

4 - 3(2)3

-20

300
3/4  * 4/3 = 1

Multiplicative Inverse

300

-4(-2x + 1) = 3(3x - 2) 

2


300

(x + 1)/10 = 5/2

24

300

If l3xl = 27, then x = ?

9 or -9

400

4(x - 5) - 5x2

4x - 20 - 5x2

400

4x + 3 = 20

      -3      - 3

Property of Equality

400

-4(x + 1) = -4x 

No solution
400

(3x + 1)/3   = 3x/2

2/3

400

If lx - 7l = 20, then x = ?

27 or -13

500

if x = -2 and y = 3, find x- 3y

-5

500

3x + 4 - 7x - 3

(3x - 7x) + (4 - 3) ***grouping them in your head

Associative

500

3(x + 2) - 1= 3x + 5

Infinite

500

(x+ 1)/(3x - 1) = 2/3

5/3

500

l-3x + 4l = 10 

Solve for x.

-2  or 14/3

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