I can use the distributive property to simplify expressions.

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• I can use the distributive property to simplify
  expressions.
• I can successfully solve 4 out of 5 classwork
  problems.

Warm Up 1. Which is easiest to do mentally for
you?   A. 2 50 2 9 OR
a. 2 59   B. 3 436 OR
b. 3 400 3 30 3 6   1 8 C.
x 9_ OR c. 9 x 10
9 x 8   2. Simplify each expression above using
order of operations. Are the two expressions
equivalent in each? What is the solution?
2
A. 2 50 2 9 OR 2
59  B. 3 436 OR 3
400 3 30 3 6   1 8C. x
9_ OR 9 x 10 9 x 8

• Think-Pair-Share
• 1. Were the solutions equivalent in the pairs of
  expressions? Why or why not
• What do you notice about the pairs of
  expressions? Similarities? Diffs?

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Which diagram below illustrates the expression
3(24)? Which illustrates 3 2 3 4 ?
2 4
2 4












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3
Diagram A Diagram B
Draw a similar diagram to show 4(3 5) and 4
3 4 5.
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Distributive Property

• The Distributive Property allows us to
  simplify things out of order from the order of
  operations by distributing things inside
  parenthesis.

For Example 3(x2)
We cant simplify whats in the parenthesis
because we dont know the value of x
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Distributive property
But with the distributive property
For example 3(x2)
You simply multiply the number in front of the
parenthesis with each part inside the
parenthesis.
3(2)
3x
3x6
3(x2)
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The Distributive Property

• The process of distributing the number on the
  outside of the parentheses to each term on the
  inside.
• a(b c) ab ac and (b c) a ba ca
• a(b - c) ab - ac and (b - c) a ba - ca
• Example 1
• 5(x 7)
• 5 x 5 7
• 5x 35

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A term is a

• 1) number,
• 2) variable, or
• 3) a product / quotient of numbers and
  variables.
• Example
• 5
• m
• 2x2

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The coefficient is

• the numerical part of the term.
• Examples
• 1) 4a
• 4
• 2) y2
• 1

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Lets practice Evaluate the expressions.
Back to notes!
Example 2 3(m - 4) 3 m - 3 4 3m - 12 Example
3 2(y 3) 2 y 2 3 2y 6 2y 6
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Which statement demonstrates the distributive
property incorrectly?Hold up your finger(s) to
indicate your answer.

1. 3(x y z) 3x 3y 3z
2. (a b) c ac bc
3. 5(2 3x) 10 3x
4. 6(3k - 4) 18k - 24

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Did we meet our Target?

• I can use the distributive property to simplify
  expressions.
• I can successfully solve 4 out of 5 classwork
  problems.

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Exit Ticket ExplanationThere may be 1 problem
in classwork that is for the exit ticket.
1. I have no idea how to do this
2. I can do it- do it
3. I can explain the steps
4. I can make a real world connection
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Classwork

• Use the Distributive Property to write 2
  expressions that are represented by the area
  model.
• (4 3) 2. 8
• Evaluate the expressions.
• 5(38) 4. 10(5.91.2)
• Rewrite the expression
• 5. n(15 25) 6. this is the exit ticket
  c(46)

5
(3 1)

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• I can use the distributive property to simplify
  expressions.
• I can successfully solve 4 out of 5 classwork
  problems.

Warm Up
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Vocab
Like Terms are terms with the same variable AND
exponent.
To simplify expressions with like terms, simply
combine the like terms.
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WRITE Are these like terms? 1) 13k, 22k
Yes, the variables are the same. 2) 5ab, 4ba
Yes, the order of the variables doesnt
matter. 3) x3y, xy3 No, the exponents are on
different variables.
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Which of the following is the simplified form of
7x-4x ? (think like terms)Hold up your
finger(s) to indicate your answer.

1. 3
2. 3x
3. x
4. 11x

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WRITE Simplify the expression1) 5a 7a

• 12a
• 2) 6.1y - 3.2y
• 2.9y
• 3) 4x2y x2y
• 5x2y
• 4) 3m2n 10mn2 7m2n - 4mn2
• 10m2n 6mn2

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5) 13a 8a 6b

• 21a 6b
• 6) 4d 6a2 - d 12a2
• 18a2 3d

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Bonus! Which of the following is the simplified
form of a 3a - 4(9 - a) ?

1. -36
2. 3a - 36
3. 8a - 36
4. 8a 36

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Did we meet our Target?

• I can use the distributive property to simplify
  expressions.
• I can successfully solve 4 out of 5 classwork
  problems.

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ClassworkSimplify the expression using the
Distributive Property.