Pre-algebra 7* In your group consider the following problems:

Transcription

1 Pre-lger * Group Activit # Group Memers: In our group consider the following prolems: 1) If ever person in the room, including the techer, were to shke hnds with ever other person ectl one time, how mn hndshkes would occur? ) If there re 0 people in the room, how mn hndshkes would occur? ) If there re n people in the room, how mn hndshkes would occur? ) Eplin in prgrph how our group solved these prolems.

2 Pre-lger * Group Activit # Group Memers: In our group consider the following prolems: 1) How mn digonls cn e drwn in four-sided polgon, such s rectngle? ) How mn digonls cn e drwn in five-sided polgon? ) Complete the tle: # of sides # of digonls 6 ) How mn digonls cn e drwn in n n-sided polgon? Plce n different points on circle. ) How mn segments must e drwn from one point in order to connect it with ever other point? 6) If ll points re connected, wht is the totl numer of segments drwn? ) How do these prolems relte to Group Activit #? ) Write similr tpe of prolem:

3 Pre-lger * Nme 16 to 1 Worksheet Write the complete nme of the propert illustrted in ech emple: 1) ; 0 ) ( ) ( ) ) ) If, then 0 ) (6 ) ( 6) 6) ( ) ( ) ) ( ) ( ) ) ( ) ( ) 9) (1) 10) ( 0) 0 11) 6 (1) 1(6) Simplif: 0 1) (0) 1) 1) 0 Fill in the lnk: 1) The dditive identit is the numer. 16) The multiplictive identit is the numer.

4 Pre-lger * Nme 19 & 110 Worksheet Prt I - Eponents 1) Simplif: for True or Flse: (circle the correct nswer) TRUE FALSE ) ( ) TRUE FALSE ) TRUE FALSE ) ( ) Prt II Adding Whole Numers ) Wht is the sum of the whole numers from 1 to? 6) Wht is the sum of the whole numers from 1 to 10? ) Wht is the sum of the whole numers from to 10? ) Wht is the sum of the whole numers from to 0? 9) Wht is the sum of the first 0 odd numers? 10) Wht is the sum of the odd numers from 1 to 0? 11) Wht is the sum of the odd numers from 1 to 119? 1) Wht is the sum of the odd numers from 0 to 119?

5 Pre-lger * Nme Worksheet (In Clss) Dte Red Pge 9 nd complete # s -10 (even): 9 ) ) m 6) z ) ) ( ) ) 10) ) ( ) ) ( ) k c) d) m n e) c d Simplif ech epression: 6 11) m n m n, for m > n. 1) z 1) ( z )( z ) 6 1) 1) ( ) 16)

6 Pre-lger * Nme More Distriutive Prctice Dte Show ll steps when using the Distriutive Propert to simplif ech of the following: 1) (9) ) () () ) ( 1 ) ) ( ) (6 ) ) [()] 6) 6

7 Pre-lger * Nme More Eponents Prctice Dte Simplif: 1) ) ) ) ) 6) ( ) ) ) 6 9) ( ) ( ) 10) 6

8 Pre-lger * Nme 10 Scientific Nottion Worksheet Dte Simplif where possile, writing our nswer in proper scientific nottion. Then check using our clcultor. 1) 10 ) ) 0 10 ) ( 10 )( 10 ) ) (. 10 )( 10 ) ) ) (. 10 )(. 10 ) ) ( )( 10 ) 9) (. 10 ) ) 10) (. 10 )( ) 10 1) ( 10 )( 10 )( 10 ) 6

9 ----- plese turn the pge over Pre-lger * Nme Some More Eponents Prctice Dte Simplif: 1) ) c ) ) 1 ) ( ) 9 6) ( ) ) ) ( ) ( )

10 Some More Eponents Prctice (continued) Pge Answers to the Previous Prolems: 1) ) 6 1 c c ) ) ) ( ) 9 9 6) ( ) 6 ) 9 ) ( ) ( ) 1 9

11 Pre-lger * Nme Worksheet Dte 1) ( )( 1 9) 1 ) 11 1 ) 6 ) [ 1 ( 1) ]( ) 11 ) ( 6 ) 6) ( )( )( )( ) ) ( 1) 1 ( ) ( ) ) 10

12 Pre-lger * Nme 6 Worksheet Dte 1) Evlute for ; Simplif: ) 6 ) ( ) 19 ( ) ) ) 6) 6 ) ( 1) 1( 9) ( )

13 Pre-lger * Nme More Sutrction Prctice Dte Simplif: 1) 6 ) ) ) ) ( ) ( ) 6) ( ) z z z z z z 1

14 Pre-lger * Nme -, -9 & Etension Worksheet Dte Fill in the lnks with the opertion(s) required to perform ech trnsformtion: 1) 1 0 ) ) 6 ) or {, }

15 Pre-lger * Nme Etension Worksheet Dte Solve, showing ll steps/work: 1) r ( 1 r ) 19 ( r 6) ) ( ) ( 1 6 ) 6 ) ( ) ( ) ) 6 ) ( c 11) ( 1 c ) 0 6) ( ) 10 6 ( ) ) p ( p 1) p 19 ) ( ) ( )

16 Pre-lger * Nme Worksheet Dte (Solving Word Prolems Using n Eqution) Solve, using vrile nd eqution: 1) Two oes contin the sme numer of nd ids. If nd ids re removed from the first o nd plced in the second o, then the second o will hve twice s mn nd ids s the first o. How mn nd ids were in the first o originll? ) In n election, 6 totl votes were cst for cndidtes. The winner hd more votes thn one cndidte nd more votes thn the other. How mn votes did the winner receive? ) A womn orn in Englnd spent one third of her life there. She then moved to Pris nd spent one hlf of her life there. The lst 1 ers of her life she lived in the United Sttes, where she died. How mn ers did she live in Pris?

17 Pre-lger * Nme Etension Enrichment Dte Fill in the oes with five numers for ech of the following puzzles. All of the numers re integers. (Rememer tht integers cn e negtive!) 1) The Rnge is 0. There is no Mode. The Medin is lso the Men. When put in order from lest to gretest, the numers increse 10 ever time. The smllest numer is one fifth of the lrgest numer. ) The Medin is the Mode. The sum of the numers is. The rnge is 0. ) The Medin is twice the mode. The Men is one more thn the Medin. The sum of ll the numers is 1. The Men is one of the five numers. ) The Medin nd the Men re oth 0. The Mode is greter thn the Men. The sum of the solute vlues of ll the numers is 0. The smllest numer is less thn the net smllest.

18 Pre-lger * Nme Mesure of Regulr Polgons Dte Interior Angles Worksheet Fill in the lnks in the Tle elow to show the mesure of ech ngle of the given regulr polgon. Use the digonls to help ou. Ect nswers re required!!! Regulr Polgon Numer of Sides Mesure of Ech Interior Angle Regulr Polgon Numer of Sides Mesure of Ech Interior Angle Equilterl Tringle Octgon 60 Squre 90 Pentgon Nongon Hegon Heptgon Decgon

19 Pre-lger * Nme Union & Intersection Worksheet Dte A B C D E 1) AB U CD ) ABU BC ) CA U CD ) ACI BD ) AC I CA 6) ACU EC ) AB I CD ) ABI CD 9) BA I CD 10) BAU DE

20 Pre-lger * Nme -1 to - Worksheet Dte Simplif: 1) List ll of the fctors of c. ) GCF ( z, z ) ) LCM ( z, z ) ) How mn fctors re there of the epression z? ) How mn fctors re there of 10,96? 6) Using its prime fctoriztion, list ll of the fctors of in order from lest to gretest.

21 Pre-lger * Nme Etension Worksheet Dte Write ech of the following s proper frction in lowest terms or s mied numer in simple form. 1) 0.0 ) 0... ) ).1 ) ) 1.01 ) 0. 1 ).1 9) ) 0. 11).016 1) ) 1.6 1).9 1) 0.