2 Essential Question How can the distributive property be used to simplify algebraicExpressions?
3 VocabularyExpression: Combining numbers, variables and addition and subtraction symbols. Does not contain an equal sign.( 3x + 4 ) + ( 5x + 2 )Constant: means the same, as fixed. That is, not changing or moving.Coefficient: number sitting before the variable.Term: Parts of an expression separated by+ or – signsLike Terms: Terms that contain the SAME form of variable(s)Variables: letter representing a quantity.
5 4x 8x2 unlike Different types of variables are unlike terms. To be like terms, the variable partis what has to be the same,not the numbers.unlike
6 2xy - x2y 1 unlike Different types of variables are unlike terms. The variable part is what hasto be the same, not the numbers.unlike
7 3xy -9xy LIKE These are like terms even though they contain both an x and a y.3xy-9xyLIKE
8 These are also like terms. xy11yxLIKEWe write variables inalphabetical order.
9 xy yx LIKE 5 -3 Even if we put numbers in front (coefficients) of each variable,they are still like terms.xyyxLIKE5-3
10 Distribute Property: To multiply out the parts of an expression ( 5a + 11 ) – ( 12a – 24 )( 3x + 4 ) + ( 5x + 2 )Simplified: when all like terms have been combined and all parentheses have been removed.