AlgI
Name __________________________________ Date ________________________ Pd. ________
6.1.3 HW
1.
Write expressions to represent the quantities described below (for 1a-1c, solving is optional):
a. Geraldine is 4 years younger than Tom. If Tom is t years old, how old is Geraldine? Also, if Steven is twice
as old as Geraldine, how old is he?
b. 150 People went to see the play “Ode to Algebra” performed in the school auditorium. If the number of
children that attended the performance was c, how many adults attended?
c. The cost of a new DVD is $14.95, and the cost of a video game is $39.99. How much would d DVD’s
and v video games cost?
2.
Nina has some nickels and 9 pennies in her pocket. Her friend, Maurice, has twice as many nickels as Nina.
Together, these coins are worth 84¢. How many nickels does Nina have? Solve using any method, but show all
of your work.
3.
To count the number of endangered falcons in the local county, Fernando first tagged each of the 8 falcons he
saw one day. Then, days later, he counted 11 falcons and noticed that only 3 were tagged. What is a good
estimate of how many total falcons exist in his county? Show how you know.
4.
The difference between two numbers is 34. The larger number is 4 more than 3 times the smaller number.
Find the two numbers.
5.
A grocer makes trail mix with cashews that cost $.85 per pound and peanuts that cost $.55 per pound. How
many pounds of each nut did he use to make 60 pounds of trail mix that sells for $.75 per pound?
6.
A boat travels 18 miles downstream in 2 hours. It requires 6 hours to travel back to its starting point
upstream. What is the rate of the boat in still water and what is the rate of the current? (r = rate in still water;
c = rate of the current; r + c = rate traveling with the current; r – c = rate traveling against the current)
7.
If 5 times the smaller of two numbers is subtracted from twice the larger, the result is 16. If the larger is
increased by 3 times the smaller, the result is 63. Find the numbers.