Definitions
An algebraic expression in which the exponent of each variable is 1.
Linear Expression
(7-b)+(3b+2)
2b+9
(2x+7)-(2x-4)
11
Method where you align like terms and then add.
Vertical
(2w-9)+(-4w-5)
-2w-14
(-2g+7)-(g+11)
-3g-4
Method in which you use properties of operations to group like terms and simplify.
Horizontal
(6-2.7h)+(-1.3j-4)
-2.7h-1.3j+2
(2n-9)-(-2.4n+4)
4.4n-13
Property in which terms are move to combine like terms.
Commutative
(7/4x-5)+(2y-3.5)+(-1/4x+5)
3/2x+2y-3.5
(-1/8c+16)-(3/8+3c)
-3 1/8c+15 5/8
The rule that says add the opposites.
Subtraction Rule
(2x-6)+(x+5)
3x-1
(1-5q)-(2.5s+8)-(0.5q+6)
-5.5q-2.5s-13