Solving Equations
with Variables on
Both Sides
You will:
Solve equations with variables on both
sides.
Identify equations that are identities or
have no solution.
Problem 1
a)
Solve 5x + 2 = 2x + 14
b)
Solve 7x + 2 = 4x – 10
Problem 2
a) It takes a graphic designer 1.5 hours to make
one page of a Web site. Using new software, the
designer could complete each page in 1.25 hours,
but it takes 8 hours to learn the software. How
many Web pages would the designer have to
make in order to save time using the new
software?
Problem 2
b) A hairdresser is deciding where to open her
own studio. If the hairdresser chooses Location
A, she will pay $1800 per month in rent and will
charge $45 per haircut. If she chooses Location B,
she will pay $1200 per month in rent and will
charge $60 per haircut. How many haircuts would
she have to give in one month to make the same
profit at either location?
Problem 3
a)
Solve 2(5x – 1) = 3(x + 11)
Problem 3
b)
Solve 4(2y + 1) = 2(y – 13)
c)
Solve 7(4 – a) = 3(a – 4)
Problem 4
a)
Solve 10x + 12 = 2(5x + 6)
b)
Solve 9m – 4 = -3m + 5 + 12m
Problem 4
c)
Solve 3(4b – 2) = -6 + 12b
d)
Solve 2x + 7 = -(3 – 2x)
Homework Assignment
Complete 2 – 4 Practice Ditto