Algebra 1
Name:________________________________ Block:_____
Literal Equations HW
Homework: Solve each literal equation for the variable specified. Show all steps of your work
maintaining the Properties of Equality. (Remember: Use inverse operations to “undo,” make
sure you do the same thing to both sides of the equation to keep equality!)
1. 3x – 4y = 7, for x.
6.
by  2
 c , for y.
3

2. 15y + 1 = x, for y.
E2
7. P 
, for R.
R

3. ex – 2y = 3z, for x.
4.
8. km + 5x = 6y, for m.
3
y + a = b, for y.
5
9. p(t + 1) = -2, for t. **2 possible methods!

10.
5. y = mx + b, for m.

3ax  n
 4 , for x.
5
Real-Life Applications Review:
Write an equation for each of the following situations and solve. Show all steps of your work!
11.
12. Every week, Jim, a salesman, gets paid $1300 plus an additional $175 for each computer he
sells. His buddy, Tony, works for a different store and gets paid $1400 plus an additional $150 for
each computer he sells. Write and solve an equation to find out how many computers they would
each need to sell to earn the same amount. Define your variable, be specific! Check your solution
back into the story…does it make sense?!
13. Susie and Allison have a holiday decoration business. You can call them and they will come
and decorate your house. Susie provides the decorations so she makes $12 an hour. Allison only
makes $7 an hour. Since Susie provides the decorations she adds an additional 2 hours onto her
work time to account for the packing and transportation of the decorations. They decorated Mrs.
Clowe’s house for Halloween and charged her a total of $119. How many hours did Susie and
Allison each charge Mrs. Clowe for? Define your variable, be specific!
14. Rachel, Melissa, and Jessie are sisters. Jessie is three times as old as Rachel. Melissa is one
year older than twice Rachel’s age. The sum of the sisters’ ages is 61 years. How old is each girl?
Write and solve an equation to represent this situation. Let x represent Rachel’s age.