ELL Math
NOTES
Name _______________________
Topic: Combine Terms
Period _______ Date_________
Questions/Main Ideas
CLO: Combine terms to simplify expressions. Define nomial and give an example.
Vocabulary:
What Are “terms?”
A term is an expression made up of numbers and/or letters connected by only
multiplication and/or division.
A term starts with either a + or a — sign.
A + or — sign separates an expression into terms.
What Are some Examples of Terms?
a
3a
is a term
3a2 — 4
3a2
is a term
are two terms
3a2 — 4a
is a term
are two terms
How many terms do you count here?
3a2 — 4a + 7 – 5y – 2
_______________________
What Are The Three Terms of 6b5 — 2a + 5 ?
We‘ll separate the expression just before each + or — sign with a line. Prefix a + sign
at the beginning of the expression.
6b5
The First Term is: 6b5
|
— 2a
|
+5
The Second Term is: — 2a
The Third Term is: + 5
How are Terms Different From Factors?
Terms are combined, factors are multiplied. 7
terms.
+x+y
is an expression with three
7xy
is a term with three factors. Both terms and factors can be rearranged.
factors:
7+x+y=y+7+x
7xy = 7yx
What Is A Nomial?
A nomial is a name that we give to an expression with terms.
many: muchos,
muchas
mas de dos puede
ser “mucho” en
algunos ejemplos
matematicos.
3x + 4y - 5 + 6x - 7y
is a _________________
A trinomial has three terms.
For example, _____________________________
A binomial has 2 terms.
For example, _____________________________
A monomial has only one term.
For example, __________________________
might also be:
The word polynomial is a general name used for expressions that have many terms.
binomials and
trinomials are also
called
_________________
Give an example of a
NOMIAL:
________________
So a binomial might also be called a polynomial.
Combine Like Terms
a) 5d + 3d ____________
c)
________
e) 3m+2n+7m+n __________
3m-2n-7m-n ____________________
g) 5x + 2y
i)
_____________
-5m –7m –m ___________________
d) 7n—10n
f)
b) 5m + 7m
__________
h) 3c2 +7c2
4mn + 7mn _______________________
____________