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Objectives 1.3
To understand and apply the distributive property
To remove parentheses by multiplying
To insert parentheses by factoring expressions
To perform numerical calculations using the distributive property
To combine like terms to simplify solutions
Think about the different ways to multiply
In your head…
You were probably using the distributive property…
1.3 Investigation 1
Go to page 51 and work on problems 1 to 5…
1.3 Investigation 2
What’s the RULE?
There are different ways to express rules that give the same result.
1.3 Investigation 3
The distributive property allows you to write expressions in different ways…
If you remove the parentheses by multiplying it is called
EXPANDING
If you insert parentheses and take out the GCF it is called
FACTORING
expanding
to
to
factoring
What are factors?
What is a GCF?
Can Variables be factors?
factoring
Look for the GCF, because that is what is being distributed.
4 is the GCF of 4b and 12
So, start by taking out the 4.
4( ? + ? ) = 4b + 12
factor
1.3 Investigation 4
Can the following expression be simplified?
3s + 5p + w + 4s + 4p + 2w
yes, 7s + 9p + 3w
Combining Like Terms
What is a term?
Monomial: is a number or the product of a number and variable(s). x, 2y, ½ xy, 7, and 23x2 are all examples of monomials.The addition or subtraction of monomials
make a polynomial
Like Terms: have exactly the same variables and exponents
Distribute and Combine Like Terms
End of 1.3
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