Download Simplify the Expression

Do Now 10/1/09
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Take out HW from last night.
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Copy HW in your planner.
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Text p.66, #16-26 even, 28-31 all, 32- 46 evens
Text p.81, #10-21 all, #33-35 all
In your journal, define the word “collect”. Do you
“collect” anything? If so what?
Homework
Text p.66, #16-26 even, 28-31 all, 32- 46
evens
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16) 56
18) 7
20) -180
22) 4
24) x + 29
26) -48c
28) identity property of
addition
29)commutative property
of multiplication
30) associative property
of addition
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31) identity property of
multiplication
32) 21,120 ft
34) 6 minutes
36) 308 Calories
38) 220,000 lb
40) No. You must always
put on your socks before
your shoes
42) 110
44) 300
46) 27
Objective
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SWBAT simplify variable expressions
Section 2.3 “Simplifying Variable Expressions”
Parts of an Expression
Coefficient
the number part
of a variable term
-3x + 2x + 8
Terms
of the expression
are separated by
addition signs
Constant
term that has
no variable
Simplifying an Expression
Like Terms
terms that have
The same variable
-3x + 2x + 8
You can simplify an expression by
COLLECTING LIKE
TERMS
-1x + 8
Simplifying an Expression
4n
4n––77––1n
n+9
The coefficient is always
1 for a variable with no
number in front of it.
4n + (-7) + (-1n) + 9
Write expression
as a sum
“Opp-Opp”
4n + (-1n) + (-7) + 9
Commutative
Property
3n + 2
COLLECT LIKE
TERMS
Parts of an Expression
7x² + 5x + 8 + 3x
1) List the terms of the expression.
7x², 5x, 8, 3x
7, 5, 3.
2) List the coefficients of the expression.
3) List the like terms of the expression. 5x and 3x
4) List the constant terms of the expression. 8
5) Simplify the expression.
7x² + 8x + 8
Simplify the Expression
A.
B.
C.
D.
3a + 2b + 7a
5b² + 7 + 10b²
A). 10a + 2b
B). 15b² + 7
2x – 7 + 16 – 3x
C). -x + 9 or
-1x + 9
x + y – 12y – 3x
D). -2x + (-11y) or
-2x – 11y
Simplifying Expressions in
Geometry
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What is the perimeter of the trapezoid?
Perimeter is the
distance around a figure.
3x
Add together each of the sides.
x+2
x+2
5x
x + 2 + 3x + x + 2 + 5x
(reorder terms)
x + 3x + x + 5x + 2 + 2
(combine like terms)
10x + 4
Find the Perimeter of the Figure
4 + 2w
w
Challenge
What is the area of the figure?
Perimeter = 2(L) + 2(W)
Area = length x width
Perimeter = 2(w) + 2(4 +2w)
Area = (w)(4 + 2w)
Perimeter = 2w + 8 + 4w)
= 6w + 8
Area = 4w + 2w²
24
Homework
- Text p.81, #10-21 all, #33-35 all