Inverse Operations
The inverse is addition.
What is the inverse of subtraction?
Solve for x:
-2(x - 6) = 18
x = -3
The context is:
Kayden took a taxi from his house to the airport. The taxi company charged a pick-up fee of $4.90 plus $2.75 per mile. The total fare was $73.65, not including the tip.
What is the equation?
2.75x + 4.9 = 73.65
The inverse is multiplication.
What is the inverse of division?
Solve for x:
4(−4x +1) −3x +2 = 25
x = -1
The equation is:
50m - 12 = 88
what could be the context?
Define each value
50:
m:
-12:
88:
-3x
Solve for x:
4(x−2) - 4 = 2(2x−6)
infinitely many solutions
Wyatt and some friends are going to the movies and have $50 to spend. At the theater, a bag of popcorn costs $8 and a drink costs $5.75.
Write an equation to represent this context.
50 = 8p + 5.75d
Divide both sides of the equation by 5
5x = -35
(any equation that has 5x)
Solve for x:
−2(−5x −4) +3 = 5x + 36
x = 5
Solve Wyatt's equation to show the amount of popcorn he can buy, based on knowing the number of drinks.
50 = 8p + 5.75d
p = (50 - 5.75d) / 8
Examples of this are: Jumbo Shrimp, Small Crowd, Bittersweet, Virtual Reality
What is an oxymoron?
*two opposite words that go together
Solve for x:
−1 +10(x −1) = −(−3x−7) −x
x = 2.25 or 18/8 or 9/4
Solve Wyatt's equation to show the amount of drinks he can buy, based on knowing the number of popcorn buckets.
50 = 8p + 5.75d
Use your new equation to determine how many drinks they can buy if they get 2 buckets of popcorn.
d = (50 - 8p)/5.75
d = 5.913 ... they can afford only 5 drinks