1. 10.1 Simplifying Algebraic Expressions

2. Vocabulary
Equivalent Expressions: Expressions that have the same value.
Term: Parts of an algebraic expression excluding the operation signs.
Coefficient: The numerical factor of a term that contains a variable.
Like Terms: Contain the same variable, such as 2x and x.

3. Constant: A term without a variable.
Simplest Form: An algebraic expression is in its simples form if it has no like terms and no parenthesis.
Simplifying the Expression: You can use the Distributive Property to combine like terms.

4. Use the Distributive Property to rewrite each expression
4(x+7) (y+2)5
6(a +4) (n+3)8
-2(x+1) 3(x+8)

5. 6(p-5) -2(x-8)
3(y-10) -7(w-4)
(n-2)(-9) -6(g-2)

6. Identify Parts of an Expression
Identify the like terms, coefficients, and constants in the expression.
6n-7n-4+n 3x x
9y-4-11y n-2n-3+n
8a+4-6a-5a d-8+d