PRE ALGEBRA EXPRESSIONS - Combining Like Terms
In Algebra, you can be asked to add and subtract Like Terms in an expression.This is known as combining like terms in an expression
To solve this type of expression, simply combine the like terms
Some expressions also have unlike terms with the like terms.
To solve this type of expression; combine the like terms together.
Examples:
Expression with Like Terms
5x³ + 16x³ = (5 + 16)x³ = 21x³ To solve, add the numbers together, and then add their common variable,x³
Expression with Unlike Terms
15x³ + 16x³ + 3y = (15 + 16)x³ + 3y= 31x³ + 3yTo solve, add the numbers together of the like variable, x³, then add the unlike term, 3y
Combining Like Terms
Practice Solving Algebra Expressions Combining Like Terms:
FYI - x is a variable, any letter can be a variable
6x is a term, 6 is the numerical coefficient of the term 6x
x-6x =
9y-6y=
14z + 2r +6z =
4x + 8x - 12y =
1s +4a +5a +3s=
4y - 6b + 2r =
ANSWERS With Explanations
x - 6x = 5x
x is really 1x, and 1x from 6x equals 5x
9y - 6y = 3y
(9 - 6)y = 3y
Subtract the numbers, then add the common variable, y
4x + 8x - 12y =
(4 + 8)x - 12y =
12x - 12y
Add the numbers of the like terms, then add their common variable, then add the unlike term -12y
1s + 4a + 5a + 3s =
(1 + 3)s + (4 + 5)a =
4s + 9a
Place like terms numbers together, 1,3 and 4,5, then add them, and add their common variables, s, and a
4y - 6b + 2r =
4y - 6b + 2r
This expression has all unlike terms, so there are no like terms to combine.
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