Name ________________________
Algebra I
Date ____________
Day 4: Systems of Equations Word Problems
 Today we will use systems of equations to solve real world word problems.
 By the end of class you will be able to define variables, set up a system of
equations, choose a method and solve for each variable.
Solve using any method.
-3x + 6y = 24
-2x – y = 1
Steps in solving a word problem involving systems.
1) Define the _____________________.
2) Write ______ equations.
3) __________ for both variables using one of the 3 methods that we learned.
4) _______________ the question asked in the problem
5) Make sure that your answer is ____________________.
The sum of two numbers is 19 and their difference is 9. Find the numbers.
The sum of two numbers is 34 and their difference is 12. Find the numbers.
Two groups of people go to McDonald’s for lunch. One group gets 5 Big Macs
and 2 small sodas and pays $14.33. Another group gets 3 Big Macs and 4 small
sodas and pays $11.93. What is the price for a Big Mac? What is the price for a
small soda?
You have 7 bills in your pocket that total $100. All of the bills are tens and
twenties. How many tens do you have? How many twenties?
The cost of two bags of M&Ms and one pack of chewing gum is $4.55. The cost of
four bags of M&Ms and five packs of chewing gum is $12.85. Find the cost of
each item.
You buy 8 books for college and spend $238.60. English books cost $29.90 and
History books cost $29.60. How many English books do you buy? How many
History books?