Expanding Algebraic Expressions Section 7-1 in Digits
3x x + 2 Term – each part of an algebraic expression separated by addition or subtraction signs Examples: Coefficient- the numerical part of a term (number in front of a variable) Examples: Constant – a term without a variable Example: Like Terms – terms that contain the same variables Examples: Expression– a string of numbers, variables, and symbols without an equal or inequality sign
Summarize
Simplest Form An expression is in simplest form when there are no like terms and no parenthesis. Example 3x – 4y + 1 Non- Example 5m + 3m - 2
Let’s look at the different types of distributive property questions…
From the left…
From the right…
A variable…
A negative number…
Over three terms…
Simplify. 1.) 4(5v – 2) 2.) -2(-3y + 5) 3.) ½ (10 + 8x)
Turn and talk it out… Can you expand the expression 2x(3y) using distributive property?
Use the distributive property to simplify the following: You Try: