NAME:________________________
ALGEBRA 1
SOLVING LITERAL EQUATIONS SHEET # 2
Solve for the indicated variable: (Show all work)
1) A  2B  3C
solve for C
3) Y  3(d  e) solve for e
2) A  3rg  2wp solve for r
4) H  3n  m  3d solve for m
5) 𝐵 = 2𝑠𝑡 2 − 8𝑘
7) V 
solve for 𝑡
2
rth solve for h
3
6) F 
5u  2d
3v
8) D 
2
x  3t  solve for t
5
solve for d
Solve:
9)
2
7
3
𝑥 + 5 = −4𝑥 − 6
10) −8𝑥 − (6 − 5𝑥) + 4 = −7𝑥 − 2(1 − 2𝑥)
11) List 3 rational numbers that are between 9 and 10. Explain the reason that each is
rational.
12) List the prime numbers between 50 and 60.
13) The perimeter of the figure is 82 inches.
9
7x  3
a) Write and solve an equation that represents the perimeter of this figure. Find the
length of each side. (Show all work)
14) Julie currently has 100 friends on Facebook and is adding, on average, 7 new friends
per week. Brittany currently has 254 friends. She decides to start dropping some of these
friends and is getting rid of, on average, 4 friends per week.
a) Write a separate equation to represent each person.
b) How long will it take for them to have the same number of friends on Facebook? (Use
your equations and show all work)