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Algebra 1
Unit: Reasoning with equations and inequalities
Topic: writing and solving two variable equations
(System of Equations)
Do Now
 Solve for x:
 5x+2=7x
 12x-9-18x=-45
 5x+10y=10
 8x-10y=16
Step in solving
http://www.youtube.com/watch?v=xB-
oXaCoJoc
http://prezi.com/hvreigt1uuiw/untitled-
prezi/http:///
Examples
 12y-6x=144
8y +64=-6x
You try:
2x+2y-3=3
5x-2y+9=10
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?
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?
Group Work
 In groups of two using your analysis of
the previous word problems create your
own two variable word problem and solve.
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

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Algebra 1 final

  • 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
  • 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