7/27/2019 Algebra & Beyond: Quick Lessons from Math Starters!

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Vbfteoc 6

Gjkbmrg gcn Mbyocn

6-7 Velpje yeck Culbrefgj Bxprbsseocs weta Bxpocbcts

(0.BB.7)

G sylpaocy orfabstrg typefgjjy ags g sbt culmbr o` ecstrulbcts.

Tromjbl9 Velpje`y tab bxprbsseoc mbjow to `ecn tab culmbr o` ecstrulbcts ec g typefgj syl-paocy orfabstrg. Aow nobs taes culmbr folpgrb to tab culmbr o` ecstrulbcts ec tab mgcn gtyour sfaooj?

(>> =) ; >

6-= Velpje yeck Culbrefgj Bxprbsseocs weta Bxpocbcts

(0.BB.7)

O` ^aolgs Bnesocs lgcy ecvbcteocs, tab paocokrgpa es ocb o` aes mbst hcowc. ^ab `erstworns ab rbfornbn wbrb Lgry agn g jettjb jglm. Gjtaouka Bnesoc agn, wetaout qubsteoc, gcecvbctevb lecn, ab wgs cot vbry orekecgj weta aes `erst rbforneck.

Tromjbl9 ^o `ecn tab ybgr taes lbssgkb wgs rbfornbn, selpje`y taes bxprbsseoc.

5(6=

+ ==

)=

+ 15 ==

7/27/2019 Algebra & Beyond: Quick Lessons from Math Starters!

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74= Lgta Vtgrtbrs

6-6 Velpje`yeck Culbrefgj Bxprbsseocs weta Bxpocbcts

(0.BB.7)

Elgkecb e` you agn g pbccy. ^ab cbxt ngy you noumjb et to two pbccebs. ^ab taern ngy you

noumjb tab two pbccebs to `our pbccebs gcn tabc foctecub noumjeck `or g totgj o` 72 ngys.

Tromjbl9 Velpje`y tab bxprbsseoc to `ecn out aow lufa locby ec nojjgrs you woujn agvb gttab bcn o` 72 ngys.

7 74= + 0 747 + 6 744 + 17

74+ >

7

74=

6-> [orns gcn Targsbs gs Lgtablgtefgj Bxprbsseocs

K (0.BB.=)

Bxprbsseck worns gs lgtablgtefgj sylmojs fgc mb ne``efujt mut es cbfbssgry to sojvb bqugteocs.

Tromjbl9 Folpejb g jest o` worns or pargsbs tagt lgy mb bxprbssbn gs lgtablgtefgj sylmojs.Ecfjunb tab sylmoj `or bgfa pargsb. (Ocb bxglpjb es gnneteoc, +. Gcotabr es pe, .)

6-2 [reteck Targsbs gs Gjkbmrgef Bxprbsseocs (0.BB.=)

Gc gjkbmrgef bxprbsseoc fgc mb folpgrbn to g pargsb. ^rgcsjgteck g pargsb ecto gc gjkbmrgefbxprbsseoc es bgsebr e` you taech gmout tab lbgcecks o` tab worns.

Tromjbl9 Lgtfa bgfa nbsfrepteoc weta ets gjkbmrgef bxprbsseoc. (Volb bxprbsseocs grb cotusbn.)

(7) 2 telbs g culmbr (G) c 2

(=) 2 lorb tagc g culmbr (M) 2c

(6) G culmbr nevenbn my 2 (F) 2 c

(>) 2 jbss tagc g culmbr (N) 2+ c

(B)c

2

(@)2

c

7/27/2019 Algebra & Beyond: Quick Lessons from Math Starters!

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Vbfteoc 69 Gjkbmrg gcn Mbyocn 746

6-0 Bvgjugteck Bxprbsseocs wetaout Bxpocbcts (0.BB.=)

Ec 715; Vbgrs, ]obmufh gcn Folpgcy pumjesabn ets `erst fgtgjokub, o``breck g vgrebty o` koons,ecfjuneck fjotaeck, ibwbjry, toys, gcn `grl bqueplbct.

Tromjbl9 E`g < 6, m < 74, gcn f < =4, `ecn tab fost ec fbcts o` bgfa etbl ec 715; my bvgjugtecktab bxprbsseoc. Uou lgy mb surpresbn gt tab prefbs o` tabsb etbls mgfh tabc. [ay wbrb taby soecbxpbcsevb folpgrbn to prefbs tongy?

(7) Ocb pger o` stbbj mjgnb efb shgtbs9 gf+ =

(=) G mgsbmgjj9gmf+ >gm

m

(6) G fgtfabrs lett9 =(g+ m) =g

(>) G nbfh o` pjgyeck fgrns9 g+ m

6-; Bvgjugteck Bxprbsseocs weta Bxpocbcts (0.BB.=)

^ab toy folpgcy Lgttbj pronufbn tab Mgrmeb nojj gcn sooc g`tbrwgrn ectronufbn Hbc,Mgrmebs moy`rebcn8 Lenkb, abr `rebcn8 gcn Vheppbr, Mgrmebs youckbr sestbr. My 7514, Mgrmebwgs so popujgr tagt top `gsaeoc nbsekcbrs frbgtbn fjotabs `or abr.

Tromjbl9 Bvgjugtb tab bxprbsseoc g=m+ fn, e`g < 7=, m < 76, f < >6, gcn n < =, to `ecn tab ybgrtab Mgrmeb nojj wgs `erst pronufbn.