Simplifying Algebraic Expressions Distribution and Like Terms Section 5.5.
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Transcript of Simplifying Algebraic Expressions Distribution and Like Terms Section 5.5.
Simplifying Algebraic Expressions
Distribution and Like Terms
Section 5.5
Notes
When a ________ or ________ sign separates an algebraic expression into parts, each part is called a _______.
The numerical factor of a term that contains a variable is called the ____________.
Notes
A term without a variable is called a _________.
__________ terms contain the same variables to the same powers, such as 3x and 2x.
Like Terms
Like Terms have the EXACT same variables with the same exponents.
Like Terms Unlike Terms2x, -5x 4x, 4y-8, 10 9, 6x3y², 8y² -5x, 5x²7xy, -xy 3x²y, 8xy²
ExamplesIdentify the terms, like terms, coefficients,
and constants
1. 4 – 4y + y – 3
2. 7 – 5y + 2 + 1
ExampleFind the like terms:
7x, -8, 4y, x, x², 6, 5xy, 8y, 9
Notes
An algebraic expression is in _____________form if it has no like terms and no parentheses.
Combining Like Terms
Terms must be like in order to add and subtract them.
To combine like terms:
Add the coefficientsKeep the variable
Examples6x + 5y – 3x + y
-2x – 8y + 5x – 4y
5a – 2b + c – 5b + 4b
Distributive PropertySignified by a number next to ( ) with no
sign in between Ex: 5(x + 3)
Tells you to multiply the number outside
by every term inside
Watch the signs
Examples4(x + 3)
(2y – 6)5
a(7b + 2c)
-8(4m – 2n)
Simplifying Expressions
oDistribute first (watch for sign of # you are distributing)
oCombine like terms
Examples3(x + 2) – 4x + 8
2 – 5(2x + 4) + x
2(3x – 4y) – (x – 2y)