Show:
Algebra
Negatives pretending to be positives
Definitions
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Kevin
100

2x = 12

x = 6

100

3 + (-3)

3 - 3 = 0

100

Some letter that represents an unknown number. 

What is a variable? (e.g., 'x', 'y')

100

2(1 + 3) = 

2(1 + 3) = 8

2 + 6 = 8

100

Kevin aided and abetted Mr. Malanga in stealing this many apples from Publix. 

What is 'all of the apples'?

200

3x + 4x = 49

x = 7

200

3 - (-5) + 8 = 

3 - (-5) + 8 = 16

3 + 5 + 8

8 + 8

16

200

The property that says you can move around terms in a given problem. 

E.g., 2 + 4 + 3 = 4 + 2 + 3

What is the commutative property?

200

3(x + 4 + 3) = 

3(x + 4 + 3) = 3x + 21

3x + 12 + 9 =

3x + 21

200

Popular opinion states that Kevin is one of these seasonal vegetables. 

What is a pumpkin?

300

5x + 3(2x + 4) = 48

x = 4

300

(-12) + (-3) + (-15) =

(-12) + (-3) + (-15) = -30

(-15) + (-15)

-30

300

A triangle with three equal sides/angles.

What is an equilateral triangle?

300

2x(3 + 4) =

2x(3 + 4) = 14x

6x + 8x =

14x

300

If Kevin buys 30 hot dogs for a BBQ, but only 2 of his friends show up, how many hot dogs does each person (including Kevin) receive?

10 hot dogs each. 

400

15x + 20 - 3x = 2x + 160

15x + 20 - 3x = 2x + 160

x = 16

400

(-5) - (-3) + (-10) + 5 =

(-5) - (-3) + (-10) + 5 = -7

(-5) + 3 + (-10) + 5

(-2) + (-10) + 5

(-12) + 5

-7

400

Dividing by a fraction is equivalent to this. 

What is multiplying by the reciprocal?
400

5y + 3x(2 - 3x) + (-2x) =

5y + 3x(2 - 3x) + (-2x) = 5y - 5x

5y + 6x + (-9x) + (-2x)

5y + (-3x) + (-2x)

5y - 5x

400

If it takes 3 Kevins 120 minutes (2 hours) to clean the 7th grade room, (assuming proportionality), how many Kevins will it take to clean the room in 10 minutes? 

36 Kevins. 

xy = k

k = 360

500

5x + 10x - 3 = 5x - (-2x) + 3(4x + 5y)

5x + 10x - 3 = 5x - (-2x) + 3(4x + 5y)

Do problem together. 

500

15 - 5 + 10 - [-(-12)] - 3 =

15 - (-5) + 10 - [-(-12)] - 3 = 18

15 + 5 + 10 + (-12) - 3

20 + 10 + (-12)

30 + (-12)

18

500

What is the difference between direct and inverse proportionality? 

Refer to Mr. Malanga, answer may vary. 

500

3x + 5y(2y + 3) - (-4x) =

3x + 5y(2y + 3) - (-4x) = 7x + 25y

3x + 10y + 15y + 4x =

3x + 4x + 10y + 15y =

7x + 25y

500

If Kevin's house has the follow room dimensions, what is its total area?

Living room: 10ft x 12 ft

Kitchen: 10ft x 8ft

Bathroom: 4ft x 3ft

Bedroom: 4ft x 3ft

224 square feet