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Academic Senate for California Community Colleges: Vocational Leadership Institute Keep America Working General Session – Friday, Jan 28, 2011 CTE Faculty Rock! Maureen White, EdD., CTE, Chancellor’s Office [email protected] 1

Accentuate the Negative 500 100 200 300 100 300 200 300 200 100 200 500 300 100 400 Miscellaneous Adding & Subtracting Distributive Property PEMDAS Multiplying

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Accentuate the Negative

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Miscellaneous

Adding & Adding & SubtractinSubtractin

gg

Distributive Property

PEMDASMultiplyinMultiplying & g &

DividingDividing

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Accentuate the Negative

500500

-25 + 40 =

Adding & Subtracting for $100

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15

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Adding & Subtracting for $100

-25 + 40 =

Adding & Subtracting for $200

-45 + -35 =

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-80

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Adding & Subtracting for $200

-45 + -35 =

-13 – (-43) =

Adding & Subtracting for $300

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Adding & Subtracting for $300

30

Adding & Subtracting for $400

-75 – (-42) + -13 + 1 =

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-45

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Adding & Subtracting for $400

-75 – (-42) + -13 + 1 =

-33 + -13 + 1

-46 + 1

True or False?

When a negative is subtracted from a

positive, the result will always be negative.

Adding & Subtracting for $500

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Pos – neg = POSITIVE

FALSE

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Adding & Subtracting for $500

-12 • 5 =

Multiplying and Dividing for $100

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-60

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Multiplying & Dividing for $100

-12 • 5 =

Multiplying & Dividing for $200

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-15 • -15 =

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Multiplying & Dividing for $200

225-15 • -15 =

Multiplying & Dividing for $300

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-108 ÷ 9 =

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Multiplying & Dividing for $300

-12-108 ÷ 9 =

Multiplying & Dividing for $400

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(-3)4 =

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Multiplying & Dividing for $400

81

Multiplying & Dividing for $500

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True or False:

The quotient of a negative and a negative will always

be positive.

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Multiplying & Dividing for $500

Neg neg = pos

TRUE

-3 + 4 • 5 =

PEMDAS for $100

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-3 + 4 • 5

-3 + 20

17

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PEMDAS for $100

-2 •(-8 + 5) – (-1)

PEMDAS for $200

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-2 • (-8 + 5) – (-1)

-2 • (-3) – (-1)

-6 – (-1)

7

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PEMDAS for $200

PEMDAS for $300

3 •-8 + [9 ÷ (-2 + 1)]

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3 •-8 + [9 ÷ (-2 + 1)]

3 •-8 + [9 ÷ (-1)]

3 •-8 + [-9]

-24 + -9

-33

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PEMDAS for $300

PEMDAS for $400

82 ÷ (2 - 4) • 3 – (-2)

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82 ÷ (2-4) • 3 – (-2)

82 ÷ (2-4) • 3 – (-2)

64 ÷ (-2) • 3 – (-2)

-32 • 3 – (-2)

-96 - -2

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PEMDAS for $400

-12 •2- ÷ 22 [ +18-( ÷ 3)2]

PEMDAS for $500

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-12 • 2 ÷ -22 + [18 ÷ (-3)2]

-12 • 2 ÷ -22 + [18 ÷ 9] -12 • 2 ÷ -22 + 2 - 12 • 2 ÷ -4 + 2

-24 ÷ -4 + 26 + 2 + 2

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PEMDAS for $500

Use the distributive property to expand

this expression:

2 •(x – 3)

Distributive Property for $100

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2x + 2•3 or 2x + 6

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Distributive Property for $100

Distributive Property for $200

Fill in the blanks:

-3 •( ___ – x) = -3 • 4 - ____ • x

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Distributive Property for $200

-3 •(4 – x) = -3 • 4 - -3• x

Kyra buys 2 popcorns for $5.50 each and 2 sodas for 2.75 each. Write an expression to find the total cost and solve.

Distributive Property for $300

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2 • (5.50 + 2.75) or

2 • 5.50 + 5.50 + 2 • 2.752.75

Total Cost = $16.50Total Cost = $16.50

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Distributive Property for $300

Factor this expression:

-2 •5 – -2 •-3

Distributive Property for $400

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Distributive Property for $400

-2 •(5 – -3)

Expand the expression. Then

Solve.

-5 •(-8 + 3)

Distributive Property for $500

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-5 •-8 + -5 • 3 = 25

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Distributive Property for $500

Miscellaneous for $100

Order from least to greatest:

1, 3, -0.5, -1, 0

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-1, -0.5, 0, 1, 3

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Miscellaneous for $100

Miscellaneous for $200

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What quadrant would the point (-5,2) be in?

Quadrant II

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Miscellaneous for $200

What quadrant would the point (-5,2) be in?

IIIIII

IIIIIIIVIV

Miscellaneous for $300

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Compare using < > or =

│-99 │ │-100│

< (less than)

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Miscellaneous for $300

│-99 │ │-100│

Miscellaneous for $400

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-3/4 +7/12

Answer must be in simplest form!

-1/6

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Miscellaneous for $400

-3/4 +7/12

-9/12 + 7/12

-2/12

Miscellaneous for $500

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The highest recorded temperature in NJ was

110°F. The lowest recorded temperature was -34°F. Write an

expression to find the difference in

temperatures and solve it.

110 – (-34) = 144

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Miscellaneous for $500