Transcript Slide 1

Do Now 10/27/09
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Take out HW from last night.
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Punchline worksheets #43 & #44
Copy HW in your planner.
 Text p. 127, #12-18 even, #22-30 evens, #33
 Quiz sections 3.1 & 3.2 Thursday
In your notebook, simplify the expressions below.
-2a – 3 + 4a + 8
-4a – 3(a + 8)
-3(x + 4)
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Homework
Punchline worksheets #43-44
“Books Never Written”
JUSTIN HALE
BUCK L UPSON
OWEN E LEVIN
“Did You Hear About…”
THE GUY WHO INVESTED IN
FEATHERS BECAUSE HE HEARD
THAT THE STOCK MARKET WAS GOING DOWN
Objective
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SWBAT solve multi-step equations using
algebra
Remember this…
-3(x + 4) = -3(x) + (-3)(4)
= -3x + (-12)
-2a – 3 + 4a + 8
-2a + 4a + (-3) + 8
= 2a + 5
Remember this…
-4a – 3(a + 8)
-4a +(-3)(a + 8)
-4a + (-3a) + (-24)
-7a + (-24)
Equation mathematical
sentence
with an equal sign
Like a scale,
both sides must be
EQUAL in order
to be balanced.
Section 3.2 “Solving a Multi-Step
Equation”
How can you get the “unknown” by itself?
8x - 3x - 10 = 20
Solving Multi-Step Equations
STEP 1STEP 2STEP 3STEP 4STEP 5STEP 6-
Combine like terms.
“Undo” addition and/or subtraction.
“Undo” multiplication and/or division.
Solve for the variable.
Check your work.
Solving Multi-Step Equations…
Isolate the variable! Get ‘x’ by itself.
8x – 3x – 10 = 20
5x – 10 = 20
Combine like terms.
5x – 10 + 10 = 20 + 10
Add 10 to each side.
5x = 30
Simplify.
5x = 30
5
5
Divide each side by 5.
x=6
Simplify.
Check Your Work!
8x – 3x – 10 = 20
x =6
8(6) – 3(6) – 10 = 20
Are both sides equal?
Solving a Multi-Step Equation
Solving Multi-Step Equations
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
Using the Distributive Property…
6x – 2(x – 5) = 46
Distributive property.
6x – 2x + 10 = 46
Combine like terms.
4x + 10 = 46
4x + 10 – 10 = 46 – 10
4x = 36
4x
36
=
4
4
x= 9
Subtract 10 from each side.
Simplify.
Divide each side by 4.
Simplify.
Check Your Work!
6x – 2(x – 5) = 46
x =9
6(9) – 2(9 – 5) = 46
Are both sides equal?
Guided Practice
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1) 6x – 2x + 11 = -5
4x + 11 = -5
4x = -16
x = -4
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2) p – 17p – 6 = -38
-16p – 6 = -38
-16p = -32
p=2
Guided Practice
6x – 2(x + 11) = -6
6x + (-2x) + (-22) = -6
4x + (-22) = -6
4x = 16
x=4
Guided Practice
27 = 3c – 3(6 – 2c)
27 = 3c + (-18) + 6c
27 = 9c + (-18)
45 = 9c
5=c
Homework
Text p. 127, #12-18 even, #22-30 evens,
#33