The document discusses the distributive property and combining like terms in algebra. It defines key terms such as terms, coefficients, and like terms. It then explains the distributive property using examples of distributing a number over terms in parentheses. Finally, it provides practice problems for students to work through using the distributive property to combine like terms.
2. Vocabulary:
terms: parts of an expression that are added
together
coefficient: number part of a term with a
variable part
like terms: have identical variable parts
constant term: a term that has no variable
3. Example 3 Identify parts of an expression
Identify the terms, like terms, coefficients, and
constant terms of the expression 3x – 4 – 6x + 2.
SOLUTION
Write the expression as a sum: 3x + ( – 4 ) + (– 6x ) + 2
Terms: 3x, – 4, – 6x, 2
Like terms: 3x and – 6x; – 4 and 2
Coefficients: 3, – 6
Constant terms: – 4, 2
4. The Distributive Property
A (B + C) = AB + AC
-A (B + C) = -AB - AC
The distributive property says that a number next to
the parentheses can be multiplied by each number
inside the parentheses.
13. Whiteboard Races!!!
DISTRIBUTIVE PROPERTY
1. We are in teams of 3 or 4.
2. Mr. Becker will give us a problem and EVERYONE
will work it out silently on their boards for 30 seconds.
3. When Mr Becker says “team time”, we have an
additional minute to compare our problems with our
teammates
4. We will only get a point if everyone has the answer
correct .
5. When Mr Becker says boards up, all boards go up.
Any team who does not have all boards up with
correct answers cannot score a point.
