Algebra 2 – CW 3.2 – Writing & Solving Systems of Equations
Name _____________________________________ Per _________ Date ______________
On a separate piece of paper, do p. 164 #5-10
For each problem below, define your variables, write a system of equations, and solve the system. Use the substitution
method on some problems, and the elimination method on others.
1) JoJo worked 25 hours last week at her two jobs and earned $201. She earns $7 per hour babysitting and $9 per
hour cashiering. How many hours did she work at each job last week?
Define the variables:
Write the system of equations and solve:
2) In one day, a movie theater collected $4600 from 800 people. The price of admission is $7 for an adult and $5 for
a child. How many adults & how many children were admitted to the movie theater that day?
Define the variables:
Write the system of equations and solve:
3)
A test has twenty questions worth 100 pts. The test consists of True/False questions worth 3 points each and
multiple choice questions worth 11 pts each. How many multiple choice questions are on the test?
Define the variables:
Write the system of equations and solve:
4) You and your sister decide to combine your weekly overtime earnings to buy a birthday gift for your mother.
Your overtime rate is $18 per hour and your sister’s overtime rate is $24 per hour. The total amount earned for
the gift was $288. If you worked two more hours of overtime than your sister, how many overtime hours did each
of you work?
Define the variables:
Write the system of equations and solve:
5) The perimeter of a rectangle is 72 cm. The length of the rectangle is twice the width. Find the area of the
rectangle.
Define the variables:
Write the system of equations and solve: