Ms. Schworak

7th Grade Pre-Algebra

8th Grade Algebra 1

TEST SCHEDULE

7th Grade Pre-Algebra 

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8th Grade Algebra I

Week 1

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This is helpful information that can be used all year by my students!

           Order of Operations:

   G                              1) Parenthesis or other grouping symbols

   E                              2) Exponents

  MD-left to right          3) Multiplication or division in the order it appears from left to right

  AS-left to right           4) Addition or subtraction in the order it appears from left to right

        Adding and Subtracting Rational Numbers:                               

               ______________________________                   

               Same sign, add and keep                                      -2 - 6 = -8        4 + 5 = 9          

               Different signs, subtract.                                                             

               Take the sign of the dominant number,                   2 - 6 = -4       -4 + 5= 1            

               Then you'll be exact.

                ______________________________                     

                Add a line and                           ^-8 – ^- 10

                change the sign                         ^-8 + 10    

                OR subtracting is the                     2    

                  same as adding the opposite

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       Multiplying and Dividing Rational Numbers

               _______________________________

               pos x pos = pos                      6 x 8  =  48

               pos x neg = neg                       6 x -8 = -48   and   -6 x 8 = -48

               neg x neg = pos                      -6 x -8 =  48

               any number x zero = zero       -6 x 0  =  0

               pos / pos = pos                                                           10/2  =  5

               pos / neg = neg  (Also, neg / pos = neg)                     10/-2 = -5    and   -10/2 = -5

               neg / neg = pos                                                          -10/-2 = 5

               zero / any number = zero                                            0/7 = 0              0/-4 = 0

               any number / zero = there is no answer for this!        7/0 = undefined

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                    Multiplying Fractions

            Write problems side by side.

            Write fractions in improper form.

            You DO NOT get common deminators.

            Cancel any common factors in the numerators 

            and denominators.

            Before you leave your answer make sure it is

            in simpliest form.           

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                    Dividing Fractions  (KCF - Keep Change Flip)

            Dividing fractions, don't ask why

            Just flip the second number and multiply.

            And before you say goodbye,

            Don't forget to simplify.

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                     Adding and Subtracting Fractions

           Write the problem verically (up and down)

           Get common denominators.

           Put dominant number on top.

           You do not have to change to improper fractions.

           With subtraction you may have to borrow.

           Simplify your answer.