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Algebra Warm up:
7.6 Classic Puzzles in Two Variables pg. 353 to 359


What are they talking about?

      These types of problems involve 2 missing items that
        you can solve for by making a system of equations!
            (remember the video about the band aids and rubber bands?)

THESE are ALL word problems!

      Remember to read carefully.
      Write down important information
      YOU WILL have two variables--it helps to identify them first!
      Label your unknowns.
      Most of these will best be solved by elimination!
      Remember--two situations that are related!


          YOU must come up with 2 equations to proceed!!!!
pg. 354
AGE PUZZLES

They key is how to represent a person's age in the past or the future.
Try another....
WIND AND CURRENT PUZZLES                     Think d=rt!!!!!

The trick here is common sense!
When an object travels quot;withquot; something you are ADDING that on!
When an object travels quot;againstquot; something you are SUBTRACTING it!
NUMBER DIGIT PUZZLES                                 pg.355

The trick is to write the number in expanded form.
COIN PUZZLES                                      pg.356
One equation involves what you physically have!
One equation involves the monetary value!
Try another.....
pg. 356
CHEMICAL-SOLUTION PUZZLES
Involve mixing of chemicals in percent solutions
Trick here is to remember to change the % to decimals and
to keep track of the ounzes or grams.
Try another...
That was ALOT to deal with.....
      That is why we are doing this section separately!
      Quiz is Monday!!!!




Keep in mind the best ways to solve various puzzles!

      Remember you have 2 variables! Define them first!
      You need 2 equations! Try using a table.
         (like things together)
      Solve like a system of equations!
      The HARD part is coming up with the equation so we practice it!
Now you all try some pg. 358 # 5-9
     JUST come up witht he equations!!!
     DO NOT SOLVE.
7.6 Classic Puzzles
7.6 Classic Puzzles
7.6 Classic Puzzles
7.6 Classic Puzzles

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7.6 Classic Puzzles

  • 2. 7.6 Classic Puzzles in Two Variables pg. 353 to 359 What are they talking about? These types of problems involve 2 missing items that you can solve for by making a system of equations! (remember the video about the band aids and rubber bands?) THESE are ALL word problems! Remember to read carefully. Write down important information YOU WILL have two variables--it helps to identify them first! Label your unknowns. Most of these will best be solved by elimination! Remember--two situations that are related! YOU must come up with 2 equations to proceed!!!!
  • 3. pg. 354 AGE PUZZLES They key is how to represent a person's age in the past or the future.
  • 5. WIND AND CURRENT PUZZLES Think d=rt!!!!! The trick here is common sense! When an object travels quot;withquot; something you are ADDING that on! When an object travels quot;againstquot; something you are SUBTRACTING it!
  • 6.
  • 7.
  • 8. NUMBER DIGIT PUZZLES pg.355 The trick is to write the number in expanded form.
  • 9. COIN PUZZLES pg.356 One equation involves what you physically have! One equation involves the monetary value!
  • 11. pg. 356 CHEMICAL-SOLUTION PUZZLES Involve mixing of chemicals in percent solutions Trick here is to remember to change the % to decimals and to keep track of the ounzes or grams.
  • 13. That was ALOT to deal with..... That is why we are doing this section separately! Quiz is Monday!!!! Keep in mind the best ways to solve various puzzles! Remember you have 2 variables! Define them first! You need 2 equations! Try using a table. (like things together) Solve like a system of equations! The HARD part is coming up with the equation so we practice it!
  • 14. Now you all try some pg. 358 # 5-9 JUST come up witht he equations!!! DO NOT SOLVE.