Equations & Expressions
Simplifying
Multistep Equations
Inequalities
Graphing Inequalities
100

Takes the place of an unknown number in an equation or expression. 

Variable

100

11n+7-5 =

11n+2

100

When there's a variable on both sides, which side should we remove the entire variable from first?

Right side (variable=numbers)

100

-4x+12 > -8

x < 5

100

Graph: x > 36

o--------------------->

36, 37, 38, 39, 40...

200

A number that never changes.

Constant

200

4(3y − 8) =

12y - 32

200

- 6x +3 = 22+7

x= -13/3, -4 1/3, -4.3

200

6x-2 < x+9

x < 2.2

200

Graph: - h < -15

O-------------------->

15, 16, 17, 18, 19...

300

A number that is attached to a variable.

Coefficient 

300

5(3+x)-7x =

15 - 2x

300

5(3+x) = 3(7-3)

x= -0.6

300

x > 3x−3−6/2

x < 3

300

Graph: -n < 72+13-88

<----------------------O

 ...-8, -7, -6, -5, -4, -3 

400

3s+4 = 28

8

400

2(-x+3) 4= 

-8x+24

400

12(2k + 11) = 12(2k + 12)

False Statement.

400

 −5(1 − 4a) > −5+15a

a > 0

400

Graph: 2x < 2,2/5 + 7/5 - 14/5

<------------------------O

...-5, -4, -3, -2, -1, 0, 0,5

500

x+45=-13

-58

500

-3/6(9+12x)-13.7=

-18.2 - 6x, -91/5 - 6x

500

-2(4-3x)+3x = 8x(1/3+1/6)

x= 8/5, 1 3/5, 1.6

500

20−2p > −2(p+2)+4p

p < 6

500

Graph: -138+4b > -6(6b-7)

O---------------------->

4.5, 5, 6, 7, 8, 9, 10...