Math 8
Notes 2.2 Simplify Expressions
Name ________________________
Date: ____________ Block: ____
Combining Like Terms
When a plus sign separates an algebraic expression into parts, each part is called a ___________.
In terms that contain a variable, the numerical part of the term is called the _________________ of the variable.
A term without a variable is called a ________________.
__________________________ contain the same variables, such as 3x and 2x to the same exponent.
LIKE TERMS:
NOT LIKE TERMS:
Ex 1 Identify the terms, like terms, coefficients, and constants in the expressions. Simplify.
a)
4m + 2 – m + 5m;
b)
a – 1 + 2b + 4a –5b + 3
Terms: __________________________
Terms: ___________________________
Like terms: ________________________
Like terms: ___________ ; ____________
Coefficients: ________________________
Coefficients: ________________________
Constants: _________________________
Constants: _________________________
Simplify: ________________________
Simplify: ________________________
__________________________
__________________________
Ex 2 Write an expression in simplest form for the
perimeter of the triangle.
Distributive Property
1. Distribute a plus
+(a – 2b) or (a – 2b)
Ex 3 Simplify
–
(removing the parentheses)
2. Distribute a minus
3. Distribute a number
–3(a – 2b) or (a – 2b)(–3)
–(a – 2b)
Ex 4 Simplify
An algebraic expression is in simplest form if it has NO _________________ and NO ___________________.