This document provides an overview of a unit on writing and solving two variable equations and systems of equations. It includes examples of solving systems of equations, word problems that can be modeled with systems, and an activity where students work in groups to create and solve their own word problem involving two variables. The homework asks students to explain on a WordPress site why they chose their word problem topic and whether solving systems could help problems in daily life.

1. Algebra 1
Unit: Reasoning with equations and inequalities
Topic: writing and solving two variable equations
(System of Equations)

2. Do Now
 Solve for x:
 5x+2=7x
 12x-9-18x=-45
 5x+10y=10
 8x-10y=16

3. Step in solving
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4. Examples
 12y-6x=144
8y +64=-6x
You try:
2x+2y-3=3
5x-2y+9=10

5. Word problems
 Tickets to a concert cost either $12 or $15. A
total of 300 tickets are sold, and the total
receipts were $4140. How many of each kind
of ticket were sold?
(Introduction of the table)
 Calvin mixes candy that sells for $2.00 per
pound with candy that costs $3.60 per pound
to make 50 pounds of candy selling for $2.16
per pound. How many pounds of each kind of
candy did he use in the mix?

6. Group work:
Compare and contrast
What makes two variable word problems

 I have $11.60, all dimes and
quarters, in my pocket. I have 32
more dimes than quarters. How
many dimes, and how many
quarters, do I have?
 Phoebe wants to mix raisins worth
$1.60 per pounds with nuts worth
$2.45 per pound to make 17
pounds of a mixture worth $2 per
pound. How many pounds of
raisins and how many pounds of
nuts should she use?
 Bonzo invests some money
at 2% interest. He also invests $1700
more than twice that amount
at 4% interest. At the end of one
interest period, the total interest
earned was $278. How much was
invested at each rate?
 An investor buys a total of 360
shares of two stocks. The price of
one stock is $35 per share, while
the price of the other stock is $45
per share. The investor spends a
total of $15000. How many shares
of each stock did the investor buy?

7. Group Work
 In groups of two using your analysis of
the previous word problems create your
own two variable word problem and solve.

8. Homework
 On your wordpress sites explain why you
choose the topic you choose for your word
problem. What were some your
difficulties/challenges? Do you think this
can help solve a problem in your daily
life? If yes explain an example (you may
refer to your own is applicable