1. The sum of two numbers is 56. Their difference is 18. Find the two numbers.
By Graphing:
By Substitution:
By Elimination:
2. Admission prices at a football game were $1.50 for non-students and $0.50 for students. The total value
of the tickets sold was $206.50 and 193 tickets were sold. How many students and how many nonstudents attended the game?
By Graphing:
By Substitution:
By Elimination:
3. Two cars in cities 300 miles apart drive to a business meeting at a location between their cities. They
meet after 3 hours. Find the speed of each car if one car travels 30 miles per hour slower than the
other.
Hints: use the formula d =rt to write an equation for each of the drivers (they both travel the same amount of time, but
their rates are different). Then your THIRD equation is: D1 + D2 = 300.
By Substitution:
65 mph and 35 mph
Two angles are complementary. Their difference is 54 . Find the measures of the angles.
(Complementary means _sum of ninety degrees__.)
By Graphing:
By Substitution:
By Elimination:
4. The bank teller worker counts bills at the end of the day. She has a total of 86 bills (tens and twenties),
and the total value is $1220. How many of each type of bill does she have?
Hint: This is similar to the ‘Grandpa’s Coins’ problem we did in class.
By Graphing:
By Substitution:
By Elimination:
5. The perimeter of a triangle is 21 inches. If two sides are of equal length, and the third side is 3 inches
longer than one of the equal sides, find the lengths of the three sides. (since 2 sides are equal, we can
use the same variable_.)
By Graphing:
By Substitution:
By Elimination:
6. A stamp collector begins the year with 1,200 stamps and adds 75 stamps per month to his collection.
Another collector has 3,500 stamps at the beginning of the year and sells 300 per month. In about how
many months will they have the same number of stamps?
By Graphing:
By Substitution:
By Elimination:
7. Mrs. Doe has twice as much money invested at 14% interest as she has at 16%. If her yearly income
from both investments is $880, how much does she have invested at each rate? (this is not
compounding interest, only 1 year has passed)
By Graphing:
By Substitution:
By Elimination:
8. Two sisters have a combined age of 54 years. One sister is 4 years older than the other. How old is each
sister?
By Graphing:
By Substitution:
By Elimination: