Do Now 10/31/13Do Now 10/31/13

Take out HW from last night.Take out HW from last night.Punchline worksheet #43Punchline worksheet #43

Copy HW in your planner.Copy HW in your planner.Text p. 474, #1-3, 8-13 allText p. 474, #1-3, 8-13 all

In your notebook, simplify the expressions In your notebook, simplify the expressions below.below.

2n – 9 – 4n + 32n – 9 – 4n + 37a – 2 – 3a7a – 2 – 3a

In your notebook, simplify the expressions In your notebook, simplify the expressions below.below.

2n – 9 – 4n + 32n – 9 – 4n + 37a – 2 – 3a7a – 2 – 3a

Remember this…Remember this…

Write Write expression as a expression as a sumsum““Opp-Opp”Opp-Opp”

COLLECT LIKE COLLECT LIKE TERMSTERMS4a4a + (-2) + (-2)

7a 7a ++ (-2) (-2) ++ (-3a) (-3a)

7a7a + + (-3a)(-3a) + (-2) + (-2) Commutative Commutative PropertyProperty

Remember this…Remember this…

7a – 2 – 3a7a – 2 – 3a

Write Write expression as a expression as a sumsum““Opp-Opp”Opp-Opp”

COLLECT LIKE COLLECT LIKE TERMSTERMS

2n – 9 – 4n + 32n – 9 – 4n + 3

-2n-2n + + (-6)(-6)

2n + (-9) + (-4n) + 32n + (-9) + (-4n) + 3

2n2n + + (-4n)(-4n) + + (-9)(-9) + + 33Commutative Commutative PropertyProperty

-2n – 6 -2n – 6 oror

Remember this…Remember this…

Punchline worksheet #43Punchline worksheet #43

““Books Never Written”Books Never Written”JUSTIN HALEJUSTIN HALEBUCK L UPSONBUCK L UPSONOWEN E LEVINOWEN E LEVIN

Objective Objective

SWBAT solve multi-step equations having SWBAT solve multi-step equations having like terms like terms

Equation-Equation-mathematical sentence mathematical sentence

with an equal signwith an equal sign

Like a scale,Like a scale,both sides must be both sides must be

EQUALEQUAL in order in order to be balanced.to be balanced.

Section 11.2 “Solving Multi-Step Section 11.2 “Solving Multi-Step Equations”Equations”

How can you get the “unknown” by How can you get the “unknown” by itself?itself?

Solving Multi-Step EquationsSolving Multi-Step Equations

STEP 1- STEP 1- STEP 2- Combine like terms.STEP 2- Combine like terms.STEP 3- “Undo” addition and/or subtraction.STEP 3- “Undo” addition and/or subtraction.STEP 4- “Undo” multiplication and/or division.STEP 4- “Undo” multiplication and/or division.STEP 5- Solve for the variable.STEP 5- Solve for the variable.STEP 6- Check your work.STEP 6- Check your work.

8x - 3x - 10 = 208x - 3x - 10 = 20

Solving Multi-Step Equations…Solving Multi-Step Equations…

8x – 3x – 10 = 208x – 3x – 10 = 20

+ 10 + 10 +10+10

5x = 305x = 30

Isolate the variable! Get ‘x’ by itself.Isolate the variable! Get ‘x’ by itself.

““Undo” additionUndo” addition

““Undo” multiplicationUndo” multiplication

55 5 5 x = 6x = 6

5x – 10 = 205x – 10 = 20Combine like terms Combine like terms

Check Your Work!Check Your Work!

xx = 6 = 6

8(8(66) – 3() – 3(66) – 10 = 20) – 10 = 20

Are both sides equal?Are both sides equal?

88x – x – 33x – x – 10 10 == 20 20

12x + (-10x) + (-1) = 2312x + (-10x) + (-1) = 23

- (-1) - (-1) -(-1)-(-1)

2x = 242x = 24

““Undo” additionUndo” addition

““Undo” multiplicationUndo” multiplication

22 2 2 x = 12x = 12

2x + (-1) = 232x + (-1) = 23Combine like terms Combine like terms

12x – 1 – 10x = 2312x – 1 – 10x = 23““Opp-Opp” Opp-Opp”

12x + (-1) + (-10x) = 2312x + (-1) + (-10x) = 23

2x + (-4x) + (-1) + 7 = 182x + (-4x) + (-1) + 7 = 18

- 6 - 6 - 6- 6

-2x = 12-2x = 12

““Undo” additionUndo” addition

““Undo” multiplicationUndo” multiplication

-2-2 -2 -2 x = -6x = -6

-2x + 6 = 18-2x + 6 = 18Combine like terms Combine like terms

2x – 1 – 4x + 7 = 182x – 1 – 4x + 7 = 18““Opp-Opp” Opp-Opp”

2x + (-1) + (-4x) + 7 = 182x + (-1) + (-4x) + 7 = 18

1) 6x – 2x + 11 = -5 1) 6x – 2x + 11 = -5 2) p – 17p – 6 = -38 2) p – 17p – 6 = -38

4x + 11 = -5 4x + 11 = -5

4x = -16 4x = -16

x = -4 x = -4

-16p – 6 = -38 -16p – 6 = -38

-16p = -32 -16p = -32

p = 2 p = 2

Guided PracticeGuided Practice

– – 11 –11 11 –11

4 4 4 4

+6 +6 +6 +6

-16 -16 -16 -16

Geometry ConnectionGeometry Connection What is the value of ‘x’ ? What is the value of ‘x’ ?

What is the length of the base of the trapezoid?What is the length of the base of the trapezoid?

3x3x

5x5x

x + 2x + 2 x + 2x + 2

x + 2 + 3x + x + 2 + 5x = 34x + 2 + 3x + x + 2 + 5x = 34 (reorder terms)(reorder terms)

1x + 3x + 1x + 5x + 2 + 2 = 341x + 3x + 1x + 5x + 2 + 2 = 34(combine like terms)(combine like terms)

10x + 4 = 3410x + 4 = 34 10x = 3010x = 30 x = 3x = 3

Perimeter = 34 units

x = 3x = 3

15 units15 units

HomeworkHomeworkText p. 474, #1-3, 8-13 allText p. 474, #1-3, 8-13 all

242422

1818

55

1717