Do Now 6/4/13
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Take out HW from last night.
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Distributive property worksheet #1-18 all
Copy HW in your planner.
Text p. 474, #4-6, 14-19 all
 Quiz sections 11.1 & 11.2 Friday
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In your notebook, simplify the expressions
below using the distributive property.
3k – 8(k + 2) + k
7k – (5 – k)
2(n – 9) – 4n + 3
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Homework
Practice worksheet #1-18
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1) 6c + 66
2) 28 – 7k
3) -44 + (-11x)
4) 35 + (-5r)
5) -14 + (-6y)
6) 10 – 2p
7) 6b – 102
8) -40c² + (-20)
9) 8 – 18p
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10) –x + (-10)
11) -21 + 6p
12) -9 + f
13) 10y + 12
14) 45y + (-27)
15) 5x + 14
16) 32x + (-40)
17) -17w + (-1)
18) -14j + 3
Simplifying an Expression with
the Distributive Property
2(n – 9) – 4n + 3
2(n + (-9)) + (-4n) + 3
Write expression
as a sum
“Opp-Opp”
2n + (-18) + (-4n) + 3
Distributive
Property
2n + (-4n) + (-18) + 3
Commutative
Property
COLLECT LIKE
TERMS
-2n + (-15) or
-2n – 15
Simplifying an Expression with
the Distributive Property
3k – 8(k + 2) + k
3k + (-8)(1k + 2) + 1k
Write expression
as a sum
“Opp-Opp”
3k + (-8k) + (-16) + 1k
Distributive
Property
3k + (-8k) + 1k + (-16)
Commutative
Property
COLLECT LIKE
TERMS
-4k + (-16) or
-4k – 16
Place a ‘1’ in front
of the parentheses
when you have a
subtraction sign.
Simplifying an Expression with
the Distributive Property
7k – 1(5
(5 ––k)k)
7k + (-1)(5 + (-1k))
Write expression
as a sum
“Opp-Opp”
7k + (-5) + 1k
Distributive
Property
7k + 1k + (-5)
Commutative
Property
8k + (-5)
or
COLLECT LIKE
TERMS
8k – 5
Objective
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SWBAT solve multi-step equations having like
terms AND the distributive property
Equation mathematical
sentence with an
equal sign
Like a scale,
both sides must be
EQUAL in order
to be balanced.
Section 11.2 “Solving a Multi-Step
Equation”
How can you get the “unknown” by itself?
Solving Multi-Step Equations with Like Terms and Parentheses
STEP 1 - Distributive Property
STEP 2- Combine like terms.
STEP 3- “Undo” addition and/or subtraction.
STEP 4- “Undo” multiplication and/or division.
STEP 5- Solve for the variable.
STEP 6- Check your work.
Solving Multi-Step Equations…
Isolate the variable! Get ‘x’ by itself.
Distributive Property
10 + 3(x + 2) = 31
10 + 3x + 6 = 31
10 + 6 + 3x = 31
Combine like terms
“Undo” addition
“Undo” multiplication
16 + 3x = 31
- 16
-16
3x = 15
3
3
x=5
Check Your Work!
10 + 3(x + 2) = 31
x =5
10 + 3((5) + 2) = 31
Are both sides equal?
“Opp-Opp”
Distributive Property
-2(x – 6) + 7 = 35
-2(x + (-6)) + 7 = 35
-2x + 12 + 7 = 35
Combine like terms
“Undo” addition
“Undo” multiplication
-2x + 19 = 35
-19 -19
-2x = 16
-2
-2
x = -8
-20 – (4x – 1) = -15
“Opp-Opp”
-20 + (-1)(4x + (-1)) = -15
Distributive Property
-20 + (-4x) + 1 = -15
Combine like terms
“Undo” addition
“Undo” multiplication
-19 + (-4x) = -15
+19
+19
-4x = 4
-4
-4
x = -1
Guided Practice
12(x + 3) – 3x = 117
12x + 36 – 3x = 117
-25 + 4(2x + 5) = -61
-25 + 8x + 20 = -61
12x – 3x + 36 = 117
-25 + 20 +8x = -61
9x + 36 = 117
– 36
–36
9x = 81
9
9
x =9
-5 + 8x = -61
+5
+5
8x = -56
8
8
x = -7
24
5
18
17
2
Homework
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Text p. 474, #4-6, 14-19 all