2.7--Solving Equations in One Variable
Solve each equation algebraically, checking for extraneous solutions:
12
x + 4 =
1)
x
2)
x
x-3
­
4
x-1
=
8
x - 4x + 3
2
1
2.7--Solving Equations in One Variable
3)
Marissa didn't read the Kool-Aid directions
properly and has made 4 gallons of badly
watered-down Kool-Aid. The current mixture
contains only 65% flavoring, while the optimal amount
of flavoring is 80%. How much pure liquid Kool-Aid syrup will
be needed to make this batch of drinks taste the way it should?
2
2.7--Solving Equations in One Variable
4)
Trey lives on a large parcel of land of the edge of a straight
river. One day, he decided to go out and buy some fencing to
section off part of his property. He came home with 920 feet
of fencing. What dimensions should he use to fence off the
largest possible area of land?
3
2.7--Solving Equations in One Variable
5)
Pineapple juice is typically sold in 1.4-liter cylindrical cans. The
steel used to make the circular bases costs 0.3 cents per square
cm, while the sides of the can are made with a slightly cheaper
grade of metal that only costs 0.2 cents/cm2. What dimensions
(radius and height) should be chosen in order to produce the least
expensive can possible? How much will it cost to make this can?
4