Sewanhaka High School
Mrs. Lidowsky, Principal
Math 8
Mr. Long, Teacher
Period:______________
Date:________________________
Name:___________________________________ (Use the back as more room to show your work.)
H.W. #45:
Using a System of Equations to solve word problems
Directions: Answer the following questions. Show your work.
1) A total of 75 cookies and cakes were donated for a 2) Two small pitchers and one large pitcher can hold
bake sale to raise money for the football team. There
eight cups of water. One large pitcher minus one small
were four times as a many cookies donated as cakes.
pitcher constitutes two cups of water. How many cups
Write a system of equations to represent this situation of water can each pitcher hold?
and solve algebraically.
3) A test has 20 questions worth 100 points. The test
consists of True\False questions worth three points
each and multiple choice questions worth 11 points
each. How many multiple choice questions are on the
test? Write a system of equations to represent this
situation and solve algebraically.
Directions: Solve for x. Show work.
1
5) x + 3y = 4 for x when y = 6
2
4) Seven people went to the movies. The number of
adults was one more than the number of children.
Write a system of equations that represents the number
of adults and children. Solve a system algebraically.
Interpret the solution.
6)
3
x + 3y = 12 for x when y = 5
4