Algebra
2x = 12
x = 6
3 + (-3)
3 - 3 = 0
Some letter that represents an unknown number.
What is a variable? (e.g., 'x', 'y')
2(1 + 3) =
2(1 + 3) = 8
2 + 6 = 8
Kevin aided and abetted Mr. Malanga in stealing this many apples from Publix.
What is 'all of the apples'?
3x + 4x = 49
x = 7
3 - (-5) + 8 =
3 - (-5) + 8 = 16
3 + 5 + 8
8 + 8
16
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?
3(x + 4 + 3) =
3(x + 4 + 3) = 3x + 21
3x + 12 + 9 =
3x + 21
Popular opinion states that Kevin is one of these seasonal vegetables.
What is a pumpkin?
5x + 3(2x + 4) = 48
x = 4
(-12) + (-3) + (-15) =
(-12) + (-3) + (-15) = -30
(-15) + (-15)
-30
A triangle with three equal sides/angles.
What is an equilateral triangle?
2x(3 + 4) =
2x(3 + 4) = 14x
6x + 8x =
14x
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.
15x + 20 - 3x = 2x + 160
15x + 20 - 3x = 2x + 160
x = 16
(-5) - (-3) + (-10) + 5 =
(-5) - (-3) + (-10) + 5 = -7
(-5) + 3 + (-10) + 5
(-2) + (-10) + 5
(-12) + 5
-7
Dividing by a fraction is equivalent to this.
5y + 3x(2 - 3x) + (-2x) =
5y + 3x(2 - 3x) + (-2x) = 5y - 5x
5y + 6x + (-9x) + (-2x)
5y + (-3x) + (-2x)
5y - 5x
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
5x + 10x - 3 = 5x - (-2x) + 3(4x + 5y)
5x + 10x - 3 = 5x - (-2x) + 3(4x + 5y)
Do problem together.
15 - 5 + 10 - [-(-12)] - 3 =
15 - (-5) + 10 - [-(-12)] - 3 = 18
15 + 5 + 10 + (-12) - 3
20 + 10 + (-12)
30 + (-12)
18
What is the difference between direct and inverse proportionality?
Refer to Mr. Malanga, answer may vary.
3x + 5y(2y + 3) - (-4x) =
3x + 5y(2y + 3) - (-4x) = 7x + 25y
3x + 10y + 15y + 4x =
3x + 4x + 10y + 15y =
7x + 25y
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