Solving Equations Review

Order of Operations, Evaluate , and Simplify

100

4²

16

200

-4²

-16

300

4 - 3(2)³

-20

400

4(x - 5) - 5x²

4x - 20 - 5x²

500

if x = -2 and y = 3, find x² - 3y

-5

Properties

100

2(x - 4) = 2x - 8

Distributive

200

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

Symmetric

300

3/4  * 4/3 = 1

Multiplicative Inverse

400

4x + 3 = 20

      -3      - 3

Property of Equality

500

3x + 4 - 7x - 3

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

Associative

Solving Basics

100

4x - 7 = 21

x = 7

200

12 = -3(x - 7)

3

300

-4(-2x + 1) = 3(3x - 2) 

2

400

-4(x + 1) = -4x 

No solution

500

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

Infinite

Proportions

100

x/3 = 2/5

6/5 = 1.2

200

3x/5 = 9/1

15

300

(x + 1)/10 = 5/2

24

400

(3x + 1)/3   = 3x/2

2/3

500

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

5/3

Absolute Value

100

l -4 + 2 l

2

200

If the lxl = 20, then x equals what?

20 or -20

300

If l3xl = 27, then x = ?

9 or -9

400

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

27 or -13

500

l-3x + 4l = 10 

Solve for x.

-2  or 14/3