,*APT] #F3 ,SYMBOLS ,US$ 9 #F4A ! ,MIDDLE ,GRADES ,NEW ,SYMBOLS ,9TRODUC$ .=( . ,LEFT " P>5!SIS .=) . ,"R " P>5!SIS .=@( . ,LEFT " BRACKET .=@) . ,"R " BRACKET .=.( . ,LEFT " BRACE .=.) . ,"R " BRACE .=- . ,NEGATIVE SIGN OR M9US SIGN .=\ . ,V]TICAL B> US$ ) ABSOLUTE VALUE .="K: . ,LESS ?AN OR EQUAL TO SIGN .=.1: . ,GRT] ?AN OR EQUAL TO SIGN .=/.K . ,N EQUAL TO SIGN .=@:@: . ,APPROXIMATELY EQUAL TO .=^ . ,SUP]SCRIPT 9DICATOR " .=" . ,BASEL9E 9DICATOR " .=X1 . ,NUM]IC SUBSCRIPT )\T 9DICATORS S* Z 9 ! TRAPEZOID >EA =MULA OR 9 COORD9ATE OR ORD]$ PAIRS .=> . ,RADICAL SYMBOL .=] . ,T]M9A;N 9DICATOR " ------------------------------------#F4B ,NUMB] L9E SYMBOLS .=3 . ,L9E " .=R . ,COORD9ATE SCALE M>K .=[ . ,LEFT-PO9T+ >R[H1D .=O . ,"R-PO9T+ >R[H1D .== . #B ,*APT] #F A#F4B ,SOLID1 FILL$-91 OR CLOS$ CIRCLE " PLAC$ ABV ! NUMB] L9E .=X . ,OP5 CIRCLE " PLAC$ ABV ! NUMB] L9E .=7 . ,BOLD %AD$ L9E SEG;T .=[[ . ,BOLD LEFT-PO9T+ >R[H1D .=OO . ,BOLD "R-PO9T+ >R[H1D ,NEW ,,BANA ,T]MS _4 ^1,GR\P+ ^1SYMBOLS3 ,P>5!SES1 BRACKETS1 & BRACES >E "S"TS CALL$ GR\P+ SYMBOLS4 _4 ^1,SUP]SCRIPTS3 ,EXPON5TS & O!R RAIS$ SYMBOLS S* Z ! DEGREE SIGN >E CALL$ SUP]SCRIPTS 9 ,NEME? ,CODE4 _4 ^1,BASEL9E ^19DICATOR3 ,SYMBOLS T FOLL[ A BASEL9E 9DICATOR >E ON ! BASEL9E4 _4 ^1,SUBSCRIPTS3 ,SYMBOLS T >E WRITT5 2L BASEL9E >E CALL$ SUBSCRIPTS1 #C ,*APT] #F B#F4B S* Z ! 8#B0 9 _% ,H2,O _:4 ,KEY ,PO9TS _4 ^1,V>IABLES >E LRS T REPRES5T UN"KN NUMB]S4 _4 ,D N USE AN ,5GLI% LR 9DICATOR ) A V>IABLE T IS 9 A MA? EXPRES.N4 _4 ,D N ITALICIZE V>IABLES 9 BRL4 _4 ^1,P>5!SES >E ^1GR\P+ ^1SYMBOLS T USUALLY H A 2G9N+ & AN 5D+1 (T5 CALL$ AN OP5+ & A CLOS+ P>5!SIS4 _4 ^1,BRACKETS >E AL ^1GR\P+ ^1SYMBOLS T >E US$ Z A SECOND LEVEL ( P>5!SES4 ------------------------------------#F4C _4 ^1,BRACES >E AL A TYPE ( ^1GR\P+ ^1SYMBOL4 ,!Y >E US$ Z A ?IRD LEVEL ( P>5!SES4 ,!Y >E AL "S"TS CALL$ CURLY BRACKETS4 _4 ^1,ABSOLUTE ^1VALUE IS REPRES5T$ BY A V]TICAL B> ON EA* SIDE ( A NUMB] OR EXPRES.N4 _4 ,) A FEW EXCEP;NS S* Z NUMB]S 9 MATRICES & EQUA;NS 9 5L>G$ BRACES 9 ,ALGEBRA1 ! NUM]IC 9DICATOR IS N #D ,*APT] #F A#F4C US$ )9 GR\P+ SYMBOLS4 _4 ,D N USE ! ,5GLI% LR 9DICATOR :5 A S+LE LR IS 5CLOS$ 9 GR\P+ SYMBOLS4 _4 ,"S"TS A CLOS+ P>5!SIS FOLL[S A PROBLEM NUMB]4 ,:5 ? O3URS1 ! NUM]IC 9DICATOR IS US$4 _4 ^1,NEGATIVE ^1NUMB]S >E NUMB]S T >E LESS ?AN Z]O4 ,! NEGATIVE SIGN IS PLAC$ 2F ! NUM]IC 9DICATOR :5 WRIT+ A NEGATIVE NUMB]4 _4 ,9 A L9E> PROBLEM1 ^7SIGNS ( COMP>ISON^' " H A SPACE 2F & AF !M4 _4 ,:5 A ^1SUP]SCRIPT IS IMMLY FOLL[$ BY A MA!MATICAL SYMBOL1 ! ^1BASEL9E ^19DICATOR M/ 2 US$ TO 5D ! SUP]SCRIPT & RETURN TO BASEL9E4 _4 ,NO BASEL9E 9DICATOR IS NE$$ IF A SPACE FOLL[S A SUP]SCRIPT4 _4 ,D N USE A ^1SUBSCRIPT ^19DICATOR OR A ^1BASEL9E ^19DICATOR :5 A V>IABLE HAS A NUM]IC SUBSCRIPT4 #E ,*APT] #F B#F4C _4 ,! ^1RADICAL ^1SYMBOL " 2G9S A SQU>E ROOT & ! ^1T]M9A;N ^19DICATOR " 5DS OR T]M9ATES ! SQU>E ROOT4 _4 ,"! >E SPECIFIC =MATT+ RULES & SYMBOLS = TRANSCRIB+ ^7NUMB] L9E GRAPHS^'1 9CLUD+ 9EQUALITIES1 9 ,NEME? ,CODE4 ,9TRODUC;N ,/UD5TS >E USUALLY 9TRODUC$ TO A V>IETY ( NEW SYMBOLS DUR+ ! MIDDLE GRADES4 ,9 ADDI;N1 PREVI\SLY LE>N$ 3CEPTS >E EXP&$4 ,NEW SYMBOLS 9CLUDE V>IABLES1 GR\P+ SYMBOLS1 NEGATIVE NUMB]S1 ORD]$ PAIRS1 ABSOLUTE VALUE1 ADDI;NAL SIGNS ( COMP>ISON1 SUP]SCRIPTS 9CLUD+ EXPON5TS1 SUBSCRIPTS1 & SQU>E ROOTS4 ,V>IABLES ,/UD5TS >E 9TRODUC$ TO V>IABLES 9 SIX? GRADE "<,COMMON ,CORE ,/ATE ,/&>DS #F ,*APT] #F C#F4C ,9ITIATIVE1 #BJAJ2 ,M>YL& ,/ATE ,DE"P;T ( ,$UCA;N1 #BJAE">4 ------------------------------------#F4D ,A ^1V>IABLE IS A LR T REPRES5TS AN UN"KN NUMB] S* Z ;X 9 ! EQUA;N _% X+2 .K #25 _:4 ,! V>IABLE " IS WRITT5 9 ! EQUA;N OR EXPRES.N :]"E X O3URS4 ,AN ,5GLI% LR 9DICATOR IS N US$4 ,9 PR9T1 V>IABLES >E (T5 ITALICIZ$4 ,9 ,NEME? ,CODE1 V>IABLES >E N ITALICIZ$4 ,EXAMPLE #F4A 3TA9S DIREC;NS & ?REE PROBLEMS 3TA9+ V>IABLE4 ,NOTICE T3 _4 ,! DIREC;NS 2G9 9 CELL #E4 ,IF "! 0 A RUNOV]1 X WD 2G9 9 CELL #C4 _4 ,! OP5+ ,NEME? ,CODE 9DICATOR IS PLAC$ AT ! 5D ( ! DIREC;NS4 ,X WD AL 2 CORRECT TO PLACE ? 9DICATOR ON A L9E BY XF 2G9N+ 9 CELL #C4 ,H["E1 ? WD REQUIRE AN ADDI;NAL L9E & MAY 2 3FUS+ = "S /UD5TS4 _4 ,AF ! ID5TIFI] = PROBLEM 8#C401 ,NEME? ,CODE IS T]M9AT$4 ,X WD AL 2 CORRECT TO T]M9ATE ,NEME? ,CODE #G ,*APT] #F A#F4D AT ! 5D ( ! PREVI\S L9E2 H["E1 = 3SI/5CY1 ! DECI.N 0 MADE TO NUMB] ALL ( ! PROBLEMS 9 ,NEME? ,CODE4 _4 ,9 ! LA/ PROBLEM1 ! 5TIRE EQUA;N _% Z+24 .K #30 _: M/ 2 ON ! SAME L9E ) ! OP5+ ,NEME? ,CODE 9DICATOR & ,NEME? ,CODE T]M9ATOR4 ,EXAMPLE #F4A ,SOLVE = ! V>IABLES4 _% #1_4 X+7 .K #35 #2_4 #23-B .K #16 #3_4 _: ,F9D ! VALUE ( ;Z 9 _% #2Z+24 .K #30 _:4 ,GR\P+ ,SYMBOLS3 ,P>5!SES ,/UD5TS >E F/ 9TRODUC$ TO GR\P+ SYMBOLS 9 FIF? GRADE "<,COMMON ,CORE ,/ATE ,/&>DS ,9ITIATIVE1 #BJAJ2 ,M>YL& ,/ATE ,DE"P;T ( ------------------------------------#F4E ,$UCA;N1 #BJAE">4 ,"! >E S"EAL TYPES ( GR\P+ SYMBOLS 9CLUD+ P>5!SES1 BRACKETS1 BRACES1 & V]TICAL B>S4 #H ,*APT] #F A#F4E ,X TAKES "O CELL TO WRITE ! ^7OP5+ " P>5!SIS^' 9 ,NEME? ,CODE4 ,X IS WRITT5 ) DOTS #A-#B-#C-#E-#F4 .=( ^1,T1*+ ^1,TIP3 ,X MAY 2 HELP;L TO PO9T \ T ! OP5+ P>5?#C;ESIS 3TA9S ! SAME DOTS Z ! 8(0 GR\PSIGN4 ,X TAKES "O CELL TO WRITE ! ^7CLOS+ "<"R"> P>5!SIS^' 9 ,NEME? ,CODE4 ,X IS WRITT5 ) DOTS #B-#C-#D-#E-#F4 .=) ^1,T1*+ ^1,TIP3 ,X MAY 2 HELP;L TO PO9T \ T ! CLOS+ P>5!SIS 3TA9S ! SAME DOTS Z ! 8)0 GR\PSIGN4 ^1,T1*+ ^1,TIP3 ,REM9D /UD5TS TO 8CLOSE0 :AT !Y 8OP504 ,?US1 IF !Y 2G9 ) AN OP5+ P>5!SIS1 !Y W TYPICALLY NE$ A CLOS+ P>5!SIS AT ! 5D ( ! EXPRES.N4 ,:5 A S+LE NUMB] OR MA!MATICAL #I ,*APT] #F B#F4E EXPRES.N IS 5CLOS$ )9 GR\P+ SYMBOLS1 ! NUM]IC 9DICATOR IS N USUALLY US$4 ,Y W LE>N AB ^! EXCEP;NS 9 ,*APT] #H4 ,:5 A S+LE LR IS 5CLOS$ )9 GR\P+ SYMBOLS1 ! ,5GLI% LR 9DICATOR IS N US$4 ,EXAMPLE #F4B 3TA9S FIVE PROBLEMS T USE P>5!SES4 ,NOTICE T ! PROBLEM ID5TIFI]S >E CAPITAL LRS 9 P>5!SES4 ,EXAMPLE #F4B _% (,A) #8+(12./4) .K #11 (,B) #10.5-(1.25+3.75) .K = (,C) (@S2.50+@S4.75)@*3 "K @S25.00 (,D) #2(X+3) .K #2X+6 (,E) _: ,USE SUB/ITU;N TO EVALUATE _% #3Y-4Z ,':5 Y .K #5 ,'& Z .K #1 _:4 ------------------------------------#F4F ,"S"TS A CLOS+ "<"R"> P>5!SIS FOLL[S A PROBLEM NUMB]4 ,:5 ? O3URS1 ! NUM]IC 9DICATOR IS US$4 ,EXAMPLE #F4C 3TA9S A PROBLEM T IS NUMB]$4 ,NOTICE T ! NUM]IC #AJ ,*APT] #F A#F4F 9DICATOR IS US$ S9CE ! PROBLEM NUMB] IS N 5CLOS$ BY GR\P+ SYMBOLS4 ,9/1D1 X IS FOLL[$ BY A CLOS+ "<"R"> P>5!SIS4 ,EXAMPLE #F4C _% #3) #2_?1/4_#+3_?3/4_#-?1/2# .K = _: ,PRACTICE #F4A ,9T]L9E ! FOLL[+ PROBLEMS T 3TA9 V>IABLES & P>5!SES4 _% #1) X(8+4) .K #36 #2) #2(15./3) .K #10 #3) (3-2+14)@*8 .K = #4) (13+8)./3 .K ---- _: #E) ,USE SUB/ITU;N TO EVALUATE _% #5A+4B ,':5 A .K #6 ,'& B .K #3 _:4 #AA ,*APT] #F #F4G ,USE YR BRLWRIT] TO WRITE ! PROBLEMS T 3TA9 V>IABLES & P>5!SES4 @.<,! MA? 3T5T 2L HAS BE5 SPELL$ \ TO ALL[ = PRACTICE4@.> #A4 ,:AT IS ! VALUE ( ;D 9 F\R OP5-P>5!SIS ;D PLUS FIVE CLOSE-P>5!SIS EQUALS FIVE8 #B4 ,SOLVE = ;P3 TWO ;P EQUALS ?REE PLUS SEV5 #C4 F\R ;X M9US TWELVE EQUALS EI5!SIS ?REE PLUS ?REE CLOSE-P>5!SIS MULTIPLICA;N-DOT TWO EQUALS TWELVE #E4 SIXTE5 M9US ;T EQUALS ELEV5 ,GR\P+ ,SYMBOLS3 ,BRACKETS & ,BRACES ^1,BRACKETS >E AL ^1GR\P+ ^1SYMBOLS4 ,!Y >E US$ Z A SECOND LEVEL ( P>5!SES4 ,X TAKES TWO CELLS TO WRITE A BRACKET 9 ,NEME? ,CODE4 ,! OP5+ " BRACKET IS A DOT #D1 FOLL[$ BY ! DOTS #A-#B-#C-#E-#F4 .=@( #AB ,*APT] #F A#F4G ,! CLOS+ "<"R"> BRACKET IS A DOT #D1 FOLL[$ BY ! DOTS #B-#C-#D-#E-#F4 .=@) ^1,BRACES >E AL A TYPE ( ^1GR\P+ ^1SYMBOL4 ,!Y >E US$ Z A ?IRD LEVEL ( P>5!SES4 ,!Y >E AL "S"TS CALL$ ^1CURLY ^1BRACKETS4 ,X TAKES TWO CELLS TO WRITE A BRACE 9 ,NEME? ,CODE4 ,! OP5+ BRACE IS DOTS #D-#F1 FOLL[$ BY DOTS #A-#B-#C-#E-#F4 .=.( ,! CLOS+ BRACE IS DOTS #D-#F1 FOLL[$ BY DOTS #B-#C-#D-#E-#F4 .=.) ,! NUM]IC 9DICATOR IS N US$ 9SIDE BRACKETS OR BRACES4 ,EXAMPLE #F4D 3TA9S ?REE PROBLEMS 3TA9+ BRACKETS &_/OR BRACES4 ------------------------------------#F4H ,EXAMPLE #F4D _% #2@*@(5+(14-8+3)@) .K = #6+.(@(7(15./5)-8@)+1.) .K ---- #13-@(5+(21./3)@) .K ---- _: #AC ,*APT] #F A#F4H ,PRACTICE #F4B ,9T]L9E ! FOLL[+ PROBLEMS T 3TA9 GR\P+ SYMBOLS4 _% #21_4 ,'SOLVE (5+M)-6 .K #4 #22_4 #6@*@((X-4)+5@) .K #42 #23_4 #8+.(@(2(8-7)+3@).)+0 .K = #24_4 #2@*@(3+?1/5#(25./5)@) .K = _: ,USE YR BRLWRIT] TO WRITE ! PROBLEMS T USE GR\P+ SYMBOLS4 @.<,! MA? 3T5T 2L HAS BE5 SPELL$ \ TO ALL[ = PRACTICE4@.> " ,SOLVE ?REE OP5-P>5!SIS ;X PLUS SEV5 CLOSE-P>5!SIS EQUALS ?IRTY-?REE "<;B"> OP5-BRACKET OP5-P>5!SIS EI5!SIS "TS ?REE CLOSE-BRACKET PLUS TWO EQUALS F\RTE5 "<;C"> ,USE ! 4TRIBUTIVE PROP]TY TO SOLVE FIVE OP5-P>5!SIS ?REE ;X PLUS SEV5 CLOSE-P>5!SIS4 "<;D"> TW5TY M9US OP5-BRACE OP5-BRACKET "O-OV]-TWO OP5-P>5!SIS T5 DIVID$ BY FIVE CLOSE-P>5!SIS M9US "O #AD ,*APT] #F B#F4H CLOSE-BRACKET PLUS ?REE CLOSE-BRACE EQUALS L;G-DA% ,NEGATIVE ,NUMB]S ,/UD5TS >E 9TRODUC$ TO NEGATIVE NUMB]S 9 ! =M ( 9TEG]S 9 SIX? GRADE "<,COMMON ,CORE ,/ATE ,/&>DS ,9ITIATIVE1 #BJAJ2 ,M>YL& ,/ATE ,DE"P;T ( ,$UCA;N1 #BJAE">4 ,9 ! MIDDLE GRADES1 /UD5TS >E AL 9TRODUC$ TO O!R RA;NAL NUMB]S1 9CLUD+ NEGATIVE FRAC;NS1 MIX$ NUMB]S1 & DECIMAL NUMB]S4 ------------------------------------#F4I ,X TAKES "O CELL TO WRITE ! ^1NEGATIVE ^1SIGN 9 ,NEME? ,CODE4 ,X IS WRITT5 ) DOTS #C-#F4 .=- ,! NEGATIVE SIGN IS PLAC$ 2F ! NUM]IC 9DICATOR :5 WRIT+ A NEGATIVE 9TEG]4 ,REMEMB]1 IF AN 9TEG] IS )9 GR\P+ SYMBOLS S* Z P>5!SES1 NO NUM]IC 9DICATOR IS US$4 ,EXAMPLE #F4E 3TA9S F\R EXAMPLES ( PROBLEMS T 3TA9 NEGATIVE 9TEG]S4 #AE ,*APT] #F A#F4I ,EA* EXAMPLE 9CLUDES ! PROBLEM 9 PR9T1 ,SIM,BRL1 & H[ ! PROBLEM WD 2 R1D4 ,EXAMPLE #F4E ,EIE 9TRODUC$ TO ORD]$ PAIRS 9 FIF? GRADE "<,COMMON ,CORE ,/ATE ,/&>DS ,9ITIATIVE1 #BJAJ">4 ,AN ORD]$ PAIR IS A SET ( NUMB]S US$ = PLOTT+ PO9TS ON A COORD9ATE PLANE4 ,ORD]$ PAIRS >E GR\P$ 9 AN OP5+ P>5!SIS & A CLOS+ P>5!SIS ) A MA!MATICAL COMMA " 2T ! HORIZONTAL #AF ,*APT] #F B#F4I "<;X"> COORD9ATE & ! V]TICAL "<;Y"> COORD9ATE4 ,9 ,NEME? ,CODE1 "! IS A SPACE AF ! MA!MATICAL COMMA1 EV5 IF "! IS N "O 9 PR9T4 ,EXAMPLE #F4F 3TA9S A SET ( DIREC;NS T >E FOLL[$ BY ?REE ORD]$ PAIRS4 -----------------------------------#F4AJ ,NOTICE T3 _4 ,S9CE ! DIREC;NS >E N FOLL[$ BY NUMB]$ OR LR$ PROBLEMS1 !Y >E =MATT$ L A P>AGRAPH4 ,! DIREC;NS 2G9 9 CELL #C ) ! RUNOV] L9E 2G9N+ 9 CELL #A4 _4 ,A BLANK L9E IS NE$$ AF ! DIREC;NS4 _4 ,! UNNUMB]$ PROBLEMS 2G9 9 CELL #A ) RUNOV]S 9 CELL #C4 _4 ,! OP5+ ,NEME? ,CODE 9DICATOR IS AT ! 5D ( ! DIREC;NS4 ,X WD AL 2 CORRECT TO PLACE X ON A L9E BY XF 2G9N+ 9 CELL #A4 _4 ,A MA!MATICAL COMMA IS US$ 9 EA* ORD]$ PAIR4 ,9 ADDI;N1 "! IS A SPACE AF ! MA!MATICAL COMMA 9 EA* ORD]$ PAIR4 #AG ,*APT] #F A#F4AJ _4 ,! ,NEME? ,CODE T]M9ATOR HAS BE5 PLAC$ ON A L9E BY XF1 2G9N+ 9 CELL #A4 ,X WD AL 2 CORRECT TO PLACE X IMMLY FOLL[+ ! ?IRD ORD]$ PAIR4 ,EXAMPLE #F4F ,PLOT ! FOLL[+ PO9TS ON ! COORD9ATE GRID4 _% (-3, -5) (-1, 6) (4, 7) _: ,ABSOLUTE ,VALUE ,/UD5TS >E 9TRODUC$ TO ABSOLUTE VALUE 9 SEV5? GRADE "<,COMMON ,CORE ,/ATE ,/&>DS ,9ITIATIVE1 #BJAJ2 ,M>YL& ,/ATE ,DE"P;T ( ,$UCA;N1 #BJAE">4 ,ABSOLUTE VALUE IS REPRES5T$ BY A V]TICAL B> ON EA* SIDE ( A NUMB] OR EXPRES.N4 ,X TAKES "O CELL TO WRITE ! ^1V]TICAL ^1B> 9 ,NEME? ,CODE4 ,X IS WRITT5 ) DOTS #A-#B-#E-#F4 #AH ,*APT] #F #F4AA .=\ ^1,T1*+ ^1,TIP3 ,X MAY 2 HELP;L TO PO9T \ T ! V]TICAL B> 3TA9S ! SAME DOTS Z ! 8OU0 GR\PSIGN4 ,! V]TICAL B> IS 3SID]$ A GR\P+ SYMBOL 9 ,NEME? ,CODE4 ,A NUMB] 5CLOS$ )9 V]TICAL B>S DOES N NE$ A NUM]IC 9DICATOR4 ,EXAMPLE #F4G 3TA9S F\R EXAMPLES ( ABSOLUTE VALUE4 ,NOTICE T "! IS A V]TICAL B> 2F & AF ! NUMB] &_/OR EXPRES.N4 ,EXAMPLE #F4G _% \-18\ .K #18 ,',EVALUATE \A-22\ ,':5 A .K #8 -\-7\-\-4\ .K ---- (D) \32\-\-14\ .K = _: #AI ,*APT] #F A#F4AA ,PRACTICE #F4C ,9T]L9E ! FOLL[+ PROBLEMS T 3TA9 NEGATIVE NUMB]S1 ORD]$ PAIRS1 & ABSOLUTE VALUE4 _% #1_4 \25\+\-5\ .K ---- #2_4 -#4, ----, -#2, -#1 #3_4 ,',SIMPLIFY \-55\_4 #4_4 (-13, 27) _: -----------------------------------#F4AB ,USE YR BRLWRIT] TO WRITE ! PROBLEMS T 9CLUDE NEGATIVE NUMB]S1 ORD]$ PAIRS1 & ABSOLUTE VALUE4 @.<,! MA? 3T5T 2L HAS BE5 SPELL$ \ TO ALL[ = PRACTICE4 ,ABSOLUTE VALUE SYMBOLS >E DESCRIB$ Z 8V]TICAL-B>0@.> " V]TICAL-B> NEGATIVE F\RTE5 V]TICAL-B> PLUS V]TICAL-B> SEV5 V]TICAL-B> EQUALS L;G-DA% "<;B"> V]TICAL-B> FIFTE5 V]TICAL-B> PLUS V]TICAL-B> NEGATIVE SIX #BJ ,*APT] #F A#F4AB V]TICAL-B> EQUALS ;8 "<;C"> OP5-P>5!SIS NEGATIVE N9E1 NEGATIVE FIVE CLOSE-P>5!SIS "<;D"> ,IS NEGATIVE V]TICAL-B> NEGATIVE EI PLUS V]TICAL-B> NEGATIVE ?REE V]TICAL-B> POSITIVE OR NEGATIVE8 ,9TRODUC;N TO ,ADDI;NAL ,SIGNS ( ,COMP>ISON ,DUR+ ! MIDDLE GRADES1 /UD5TS >E 9TRODUC$ TO ADDI;NAL SIGNS ( COMP>ISON4 ,= EXAMPLE1 /UD5TS LE>N TO WRITE 9EQUALITIES T 9CLUDE A LESS ?AN OR EQUAL TO SIGN OR A GRT] ?AN OR EQUAL TO SIGN 9 SIX? GRADE "<,COMMON ,CORE ,/ATE ,/&>DS ,9ITIATIVE1 #BJAJ2 ,M>YL& ,DE"P;T ( ,$UCA;N1 #BJAE">4 ,LESS ,?AN OR ,EQUAL TO ,SIGN ,! ^7LESS ?AN OR EQUAL TO SIGN^' IS WRITT5 ) ! LESS ?AN SIGN FOLL[$ BY ! HORIZONTAL B>4 ,X TAKES ?REE CELLS #BA ,*APT] #F B#F4AB TO WRITE ! LESS ?AN OR EQUAL TO SIGN 9 ,NEME? ,CODE4 ,X IS WRITT5 ) DOT #E1 FOLL[$ BY DOTS #A-#C1 & !N DOTS #A-#E-#F4 .="K: ,! LESS ?AN OR EQUAL TO SIGN IS A ^7SIGN ( COMP>ISON^'1 S "! IS A SPACE 2F & AF ! SYMBOL 9 BRL "<,RULE ,,XX">4 ,EXAMPLE #F4H 3TA9S ?REE EXAMPLES ( 9EQUALITIES T 3TA9 A LESS ?AN OR EQUAL TO SIGN4 ,NOTICE T ! ?IRD EXAMPLE IS A MULTIPLE *OICE PROBLEM4 ,! PROBLEM 2G9S 9 CELL #A ) RUNOV] 9 CELL #E4 ,! ANSW] *OICES 2G9 9 CELL #C4 ,AL? ALL ( ! ANSW] *OICES FIT ON "O BRL L9E1 ANY RUNOV] WD 2G9 9 CELL #E4 ,EXAMPLE #F4H _% X "K: #3 Y "K: -#1 _: #BB ,*APT] #F #F4AC #C4 ,SELECT ALL ! GIV5 VALUES ( ;Z T MAKE ! 9EQUAL;Y _% #2Z "K: #10 ,'TRUE4 ;A_4 #3.5 ;B_4 #4 ;C_4 #6 _: ,GRT] ,?AN OR ,EQUAL TO ,SIGN ,! ^7GRT] ?AN OR EQUAL TO SIGN^' IS WRITT5 ) ! GRT] ?AN SIGN FOLL[$ BY ! HORIZONTAL B>4 ,X TAKES ?REE CELLS TO WRITE ! GRT] ?AN OR EQUAL TO SIGN 9 ,NEME? ,CODE4 ,X IS WRITT5 ) DOTS #D-#F1 FOLL[$ BY DOT #B1 & !N DOTS #A-#E-#F4 .=.1: ,EXAMPLE #F4I 3TA9S ?REE EXAMPLES ( 9EQUALITIES T 3TA9 A GRT] ?AN OR EQUAL TO SIGN4 ,NOTICE T "! IS A SPACE 2F & AF ! SYMBOL S9CE X IS A SIGN ( COMP>ISON "<,RULE ,,XX">4 ,EXAMPLE #F4I _% X .1: #0 #3T-1 .1: #15 _: #BC ,*APT] #F #F4AD #AG4 ,SUB/ITUTE _% Y .K #3, #4, #5 _: TO F9D :1 IF ANY1 IS A SOLU;N ( ! 9EQUAL;Y _% #2Y .1: #8 _:4 ,N ,EQUAL TO ,SIGN ,/UD5TS >E AL 9TRODUC$ TO ! ^7N EQUAL TO SIGN^' 9 SIX? GRADE "<,M>YL& ,DE"P;T ( ,$UCA;N1 #BJAE">4 ,X TAKES ?REE CELLS TO WRITE ! N EQUAL TO SIGN 9 ,NEME? ,CODE^24 ,X IS WRITT5 ) DOTS #C-#D1 FOLL[$ BY DOTS #D-#F1 & !N DOTS #A-#C4 .=/.K ,EXAMPLE #F4AJ 3TA9S TWO EXAMPLES ) A N EQUAL TO SIGN4 ,AL NOTICE ! NEGATIVE NUMB]S & ABSOLUTE VALUE 9 ,EXAMPLE #F4AJ4 ,EXAMPLE #F4AJ _% \-37\ /.K -#37 \5-9\ /.K -\9-5\ _: ,APPROXIMATELY ,EQUAL TO ,SIGN ,/UD5TS >E AL 9TRODUC$ TO ! #BD ,*APT] #F A#F4AD ^7APPROXIMATELY EQUAL TO SIGN^' 9 SIX? GRADE "<,M>YL& ,DE"P;T ( ,$UCA;N1 #BJAE">4 ,! APPROXIMATELY EQUAL TO SIGN IS REPRES5T$ 9 PR9T Z P>ALLEL WAVY L9ES4 ,EA* WAVY L9E IS CALL$ A TILDE4 ,X TAKES F\R CELLS TO WRITE ! APPROXIMATELY EQUAL TO SIGN 9 ,NEME? ,CODE4 ,X IS WRITT5 BY DOT #D1 FOLL[$ BY DOTS #A-#E-#F1 ANO!R DOT #D1 & !N DOTS #A-#E-#F4 ,! APPROXIMATELY EQUAL TO SYMBOL HAS A SPACE 2F & AF X S9CE X IS A SIGN ( COMP>ISON "<,RULE ,,XX">4 .=@:@: -----------------------------------#F4AE ,EXAMPLE #F4AA 3TA9S ?REE EXAMPLES ( PROBLEMS ) AN APPROXIMATELY EQUAL TO SIGN4 ,9 ! ?IRD PROBLEM1 ;,,CD /&S = ! 4T.E 2T PO9TS ;,C & ;,D4 ,EXAMPLE #F4AA _% ?1/3# @:@: #0.3 ?22/7# @:@: #3.14 ,C,D A:A: #5.8 FT _: #BE ,*APT] #F A#F4AE ,GRAPH+ ,9EQUALITIES ON A ,NUMB] ,L9E ,Z EXPLA9$ 9 ,*APT] #D1 /UD5TS >E F/ 9TRODUC$ TO CR1T+ NUMB] L9ES ON ! BRLWRIT] 9 F\R? GRADE4 ,9 ! MIDDLE GRADES1 /UD5TS LE>N TO 9T]PRET & GRAPH NUMB] L9ES REPRES5T+ 9EQUALITIES4 ,"! >E F\R NEW SYMBOLS US$ :5 GRAPH+ 9EQUALITIES4 ,! ^1OP5 ^1CIRCLE1 : REPRES5TS A PO9T T IS N 9CLUD$1 TAKES "O CELL TO WRITE 9 ,NEME? ,CODE4 ,X IS WRITT5 ) DOTS #A-#C-#D-#F4 ,! SYMBOL IS WRITT5 ABV ! NUMB] L9E4 .=X ,! ^7BOLD "<%AD$"> L9E SEG;T^'1 : IS US$ = %AD+ ! RE/ ( ! PO9TS 9CLUD$ 9 ! SOLU;N ON ! NUMB] L9E XF1 TAKES "O CELL TO WRITE 9 ,NEME? ,CODE1 B IS US$ MULTIPLE "TS4 ,X IS WRITT5 ) DOTS #B-#C-#E-#F4 .=7 ,! ^7BOLD LEFT PO9T+ >R[H1D1^' : #BF ,*APT] #F B#F4AE IS PLAC$ ON ! LEFT SIDE ( ! NUMB] L9E1 TAKES TWO CELLS TO WRITE 9 ,NEME? ,CODE4 ,X IS WRITT5 ) DOTS #B-#D-#F1 FOLL[$ BY DOTS #B-#D-#F4 .=[[ -----------------------------------#F4AF ,! ^7BOLD "R PO9T+ >R[H1D^'1 : IS PLAC$ ON ! "R SIDE ( ! NUMB] L9E1 TAKES TWO CELLS TO WRITE 9 ,NEME? ,CODE4 ,X IS WRITT5 ) DOTS #A-#C-#E1 FOLL[$ BY DOTS #A-#C-#E4 .=OO ,EXAMPLE #F4AB 9CLUDES F\R EXAMPLES ( GRAPH+ 9EQUALITIES ON A NUMB] L9E4 ,NOTE ! USE ( ! BOLD %AD$ L9E SEG;T 9 ADDI;N TO ! BOLD LEFT & "R PO9T+ >R[H1DS4 ,BO? SOLID " & OP5 CIRCLES C 2 US$ :5 GRAPH+ 9EQUALITIES4 #BG ,*APT] #F A#F4AF ,EXAMPLE #F4AB _% #14_4 X .1: #0 = [33R33R33R77R77R77R77R77OO -2 -1 0 1 2 3 4 #15_4 #13 "K X "K #15 X X [33R33R77R77R33R33R33R33O 12 13 14 15 16 17 18 -----------------------------------#F4AG #16_4 X "K: #1 ,'OR X .1 #4 = X [[777R777R333R333R333R777R777OO 0 1 2 3 4 5 #BH ,*APT] #F A#F4AG #17_4 X /.K -#2 X [[77R77R77R77R77R77R77R77R77OO -5 -4 -3 -2 -1 0 1 2 _: ^1,T1*+ ^1,TIP3 ,! OP5 & SOLID CIRCLE REPRES5T A 8B.D>Y0 PO9T :5 GRAPH+ 9EQUALITIES4 ,? 9=MA;N C 2 US$ AL;G ) ! SIGN ( COMP>ISON TO DET]M9E ": TO %ADE4 ,= EXAMPLE1 IF ;X IS LESS ?AN #A1 PLACE AN OP5 CIRCLE AT #A & %ADE TO ! LEFT4 ,PRACTICE #F4D ,9T]L9E ! FOLL[+ PROBLEMS T 3TA9 SIGNS ( COMP>ISON & "O NUMB] L9E GRAPH4 _% #1_4 Y "K: -#2 #2_4 ?1/11# @:@: #0.09 #3_4 #8+(9-2)@*3 /.K #215 #4_4 T .1: #0 #BI ,*APT] #F #F4AH #5_4 X "K #3 X [[77R77R77R77R77R77R33R33O -2 -1 0 1 2 3 4 _: ,USE YR BRLWRIT] TO WRITE ! FOLL[+ PROBLEMS & CR1TE "O NUMB] L9E GRAPH4 @.<,! MA? 3T5T 2L HAS BE5 SPELL$ \ TO ALL[ = PRACTICE4 ,ABSOLUTE VALUE SYMBOLS >E DESCRIB$ Z 8V]TICAL-B>0@.> #A4 ;,,AB IS APPROXIMATELY EQUAL TO TW5TY-F\R ;M @.<;M IS AN A2REVIA;N@.> #B4 NEGATIVE "O IS LESS ?AN OR EQUAL TO ;X IS LESS ?AN SIX #C4 V]TICAL-B> NEGATIVE T5 V]TICAL-B> IS N EQUAL TO NEGATIVE T5 #D4 ;Y IS GRT] ?AN OR EQUAL TO NEGATIVE "O #CJ ,*APT] #F A#F4AH #E4 NEGATIVE TWO IS LESS ?AN OR EQUAL TO ;X IS LESS ?AN TWO @.<,PROBLEM #E IS FOLL[$ BY A NUMB] L9E4 ,! NUMB] L9E />TS AT NEGATIVE ?REE & 5DS AT #C1 & EA* ( ! #G TICK M>KS IS NUMB]$4 ,A L9E PLOTT$ ON ! NUMB] L9E />TS ) A CLOS$ CIRCLE AT -#B & 5DS ) AN OP5 CIRCLE AT #B4@.> ,SUP]SCRIPT ,9DICATOR ,"S"TS /UD5TS >E 9TRODUC$ TO SUP]SCRIPTS :5 LE>N+ AB ! DEGREE SIGN 9 ! E>LY GRADES4 ,!Y >E !N RE9TRODUC$ TO SUP]SCRIPTS 9 ! MIDDLE GRADES4 ,= EXAMPLE1 /UD5TS LE>N TO WRITE EXPRES.NS 3TA9+ :OLE NUMB] EXPON5TS 9 EI FIF? OR SIX? GRADE "<,COMMON ,CORE ,/ATE ,/&>DS ,9ITIATIVE1 #BJAJ2 ,M>YL& ,DE"P;T ( ,$UCA;N1 #BJAE">4 ,! SUP]SCRIPT 9DICATOR " IS US$ TO REPRES5T EXPON5TS1 P[]S1 OR RAIS$ "*S S* Z ! DEGREE SIGN4 ,X IS US$ AF ! BASE & 2F ! ACTUAL RAIS$ "* #CA ,*APT] #F B#F4AH OR EXPON5T4 ,"! IS N A CORRESPOND+ SIGN 9 PR9T = ! SUP]SCRIPT 9DICATOR4 ,EXAMPLE #F4AC 3TA9S TWO EXAMPLES ( EXPRES.NS T 3TA9 AN EXPON5T FOLL[$ BY A SPACE4 ,EXAMPLE #F4AC _% #6^2 X^3 _: -----------------------------------#F4AI ,IF ANY?+ COMES AF ! EXPON5T O!R ?AN A SPACE1 A BASEL9E 9DICATOR " IS US$ AF ! EXPON5T4 ,IF A SPACE COMES AF ! EXPON5T1 NO BASEL9E 9DICATOR IS NE$$4 ,EXAMPLE #F4AD 9CLUDES ?REE EXAMPLES ( EXPRES.NS T 3TA9 AN EXPON5T FOLL[$ BY A SIGN ( OP]A;N &_/OR A P>5!SIS4 ,EXAMPLE #F4AD _% #5^2"+2^4 #3(5-X^3") -#7(5^2"-2^3") _: ,SUBSCRIPTS )\T ,9DICATORS ,/UD5TS >E (T5 9TRODUC$ TO #CB ,*APT] #F A#F4AI SUBSCRIPTS Z E>LY Z SIX? GRADE1 :5 !Y LE>N ! =MULA = ! >EA ( A TRAPEZOID OR ! COORD9ATES ( AN ORD]$ PAIR "<,COMMON ,CORE ,/ATE ,/&>DS ,9ITIATIVE1 #BJAJ">4 ,LUCKILY1 9 ,NEME? ,CODE1 ^! SUBSCRIPTS >E NUMB]S ASSOCIAT$ ) _! RESPECTIVE LR OR V>IABLE1 & NO SUBSCRIPT 9DICATOR OR CORRESPOND+ BASEL9E 9DICATOR IS NE$$4 ,! NUM]IC SUBSCRIPT SIMPLY FOLL[S ! V>IABLE ) NO SPACE OR ANY SPECIAL SYMBOL1 & ! BASEL9E IS MA9TA9$4 ^1,T1*+ ^1,TIP3 ,:5 ALL /UD5TS >E F/ LE>N+ TO WRITE COE6ICI5TS1 !Y >E TAUIABLE & N"E FOLL[ ! V>IABLE4 ,! /UD5T US+ ,NEME? ,CODE "U/&S ? F> BETT] ?AN _! SIIABLE IS A SUP]SCRIPT4 ,? %ORT-CUT ME?OD ONLY "WS = A LR "IABLE"> ) A NUM]IC SUBSCRIPT4 ,? K IS EXTREMELY VALUABLE TO ! /UD5T Z !Y #CC ,*APT] #F B#F4AI ADV.E 9TO HI<] MA!MATICS1 :5 X W 2 US$ OV] & OV] AG4 ,EXAMPLE #F4AE 9CLUDES TWO EXAMPLES US$ 9 ! MIDDLE GRADES T %[ ! USE ( SUBSCRIPTS )\T ! NE$ = EI A SUBSCRIPT 9DICATOR OR A BASEL9E 9DICATOR4 -----------------------------------#F4BJ ,EXAMPLE #F4AE _% ,A .K ?H/2#(B1+B2) (X1, Y1) _: ,SQU>E ,ROOTS ,/UD5TS >E 9TRODUC$ TO PR9CIPLE SQU>E ROOTS "E ROOTS"> 9 EIDS ,9ITIATIVE1 #BJAJ2 ,M>YL& ,DE"P;T ( ,$UCA;N1 #BJAE">4 ,9 ,NEME? ,CODE1 A SQU>E ROOT IS COMPOS$ ( AN OP5+ ^1RADICAL ^1SYMBOL1 A ^1RADIC&1 & A ^1T]M9A;N ^19DICATOR4 ,X TAKES "O CELL TO WRITE ! OP5+ RADICAL SYMBOL : IS WRITT5 ) DOTS #C-#D-#E4 ,! ^1RADIC& " #CD ,*APT] #F A#F4BJ COMES NEXT4 ,!N1 ! ^1T]M9A;N ^19DICATOR WRITT5 ) DOTS #A-#B-#D-#E-#F 5DS OR T]M9ATES ! SQU>E ROOT4 ,:5 WRIT+ A PR9CIPLE SQU>E ROOT1 FOLL[ ?REE SIMPLE /EPS4 ,BRL3 #A4 ,! RADICAL SYMBOL " .=> #B4 ,! RADIC&1 VALUE 9SIDE_/"U A RADICAL SYMBOL1 : Y WANT TO F9D ! ROOT ( #C4 ,! T]M9A;N 9DICATOR " .=] ^1,T1*+ ^1,TIP3 ,! RADICAL SYMBOL IS ! SAME 3FIGURA;N Z ! 8AR0 3TRAC;N : IS US$ 9 ! ^W 8SQU>E0 ROOT4 ,! T]M9A;N SYMBOL IS ! SAME 3FIGURA;N Z ! 8]0 3TRAC;N : IS US$ 9 ! ^W 8T]M9A;N40 ,EXAMPLE #F4AF 9CLUDES F\R EXAMPLES ( EXPRES.NS T 3TA9 SQU>E ROOTS4 ,NOTICE T ! SECOND PROBLEM IS ! SQU>E ROOT ( ;X TO ! F\R? P[] 5D ROOT1 ":AS ! #DTH #CE ,*APT] #F B#F4BJ PROBLEM IS ! SQU>E ROOT ( ;X 5D ROOT TO ! F\R? P[]4 ,EXAMPLE #F4AF _% >16] -----------------------------------#F4BA >X^4"] _: ,:AT IS ! VALUE ( _% >100]_8 >X]^4 _: ,PRACTICE #F4E ,9T]L9E ! FOLL[+ PROBLEMS T 3TA9 SUP]SCRIPTS1 SUBSCRIPTS1 & SQU>E ROOTS4 _% #1_4 #3^4 #2_4 -#2(Z^2"-Y^4") #3_4 (X2, Y2) #4_4 >36] #5_4 >X]^3 _: #CF ,*APT] #F A#F4BA ,USE YR BRLWRIT] TO WRITE ! FOLL[+ PROBLEMS T 3TA9 SUP]SCRIPTS1 SUBSCRIPTS1 & SQU>E ROOTS4 @.<,! MA? 3T5T 2L HAS BE5 SPELL$ \ TO ALL[ = PRACTICE4 ,SUP]SCRIPTS & SUBSCRIPTS >E 9DICAT$ ) 8SUP]0 & 8SUB01 & ^! PHRASES >E 3NECT$ TO ! A6ECT$ NUM]AL ) A HYPH5 = CL>;Y4@.> #A4 ;C SUP]-FIVE #B4 SIX OP5-P>5!SIS ;Z SUP]-F\R M9US ?REE SUP]-TWO CLOSE-P>5!SIS #C4 ,A M9US @.T@.> OP5-P>5!SIS ;B SUB-"O PLUS ;B SUB-TWO CLOSE-P>5!SIS OV] TWO @. ;H #D4 SQU>E ROOT ( ;Y-SUP]-#F ,*APT] ,SUMM>Y ,V>IABLES _4 ,V>IABLES REPRES5T AN UN"KN NUMB]4 _4 ,WRITE A V>IABLE 9 AN EQUA;N OR EXPRES.N :]"E X O3URS4 #CG ,*APT] #F B#F4BA ,GR\P+ ,SYMBOLS _4 ,P>5!SES1 BRACKETS1 & BRACES >E GR\P+ SYMBOLS "<,RULE ,,XVIII">4 -----------------------------------#F4BB _4 ,! V]TICAL B> US$ ) ABSOLUTE VALUE IS AL A GR\P+ SYMBOL "<,RULE ,,XVIII1 ^S#ABD;B">4 _4 ,:5 A S+LE NUMB] OR MA!MATICAL EXPRES.N IS 5CLOS$ )9 GR\P+ SYMBOLS1 ! NUM]IC 9DICATOR IS N USUALLY US$4 _4 ,:5 A S+LE LR IS 5CLOS$ )9 GR\P+ SYMBOLS ! ,5GLI% LR 9DICATOR IS N US$4 ,NEGATIVE ,NUMB]S _4 ,! NEGATIVE SIGN IS PLAC$ 2F ! NUM]IC 9DICATOR :5 WRIT+ A NEGATIVE NUMB]4 ,ORD]$ ,PAIRS _4 ,AN ORD]$ PAIR IS A SET ( NUMB]S US$ = PLOTT+ PO9TS ON A COORD9ATE PLANE4 _4 ,ORD]$ PAIRS >E GR\P$ 9 AN OP5+ P>5!SIS & A CLOS+ P>5!SIS ) A MA!MATICAL COMMA " 2T ! #CH ,*APT] #F A#F4BB HORIZONTAL "<;X"> COORD9ATE & ! V]TICAL "<;Y"> COORD9ATE4 _4 ,L1VE A SPACE AF ! MA!MATICAL COMMA1 EV5 IF "! IS N "O 9 PR9T4 ,ABSOLUTE ,VALUE _4 ,ABSOLUTE VALUE IS REPRES5T$ BY A V]TICAL B> ON EA* SIDE ( A NUMB] OR EXPRES.N4 _4 ,D N USE A NUM]IC 9DICATOR )9 ! V]TICAL B>S :5 WRIT+ AN ABSOLUTE VALUE4 ,LESS ,?AN OR ,EQUAL TO ,SIGN1 ,GRT] ,?AN OR ,EQUAL TO ,SIGN1 ,APPROXIMATELY ,EQUAL TO ,SIGN1 & ,N ,EQUAL TO ,SIGN _4 ,^! >E SIGNS ( COMP>ISON4 _4 ,L1VE A SPACE 2F & AF SIGNS ( COMP>ISON "<,RULE ,,XX1 ^S#AEA">4 #CI ,*APT] #F B#F4BB ,GRAPH+ ,9EQUALITIES ON A ,NUMB] ,L9E _4 ,/UD5TS LE>N TO 9T]PRET & GRAPH NUMB] L9ES REPRES5T+ 9EQUALITIES 9 ! MIDDLE GRADES4 _4 ,F\R ADDI;NAL ,NEME? SYMBOLS >E REQUIR$ TO CR1TE ^! NUMB] L9ES4 _4 ,! OP5 CIRCLE1 : REPRES5TS A PO9T T IS N 9CLUD$1 IS WRITT5 ABV ! NUMB] L9E4 _4 ,! BOLD "<%AD$"> L9E SEG;T IS US$ = %AD+ ! RE/ ( ! PO9TS 9CLUD$ 9 ! SOLU;N ON ! NUMB] L9E4 -----------------------------------#F4BC _4 ,! BOLD LEFT PO9T+ >R[H1D IS PLAC$ ON ! LEFT SIDE ( ! NUMB] L9E4 _4 ,! BOLD "R PO9T+ >R[H1D IS PLAC$ ON ! "R SIDE ( ! NUMB] L9E4 #DJ ,*APT] #F A#F4BC ,SUP]SCRIPT ,9DICATOR & ,BASEL9E ,9DICATOR _4 ,"! >E NO PR9T EQUIVAL5TS = ! SUP]SCRIPT & BASEL9E 9DICATORS4 _4 ,! SUP]SCRIPT 9DICATOR IS US$ = RAIS$ SYMBOLS1 9CLUD+ EXPON5TS & DEGREE SYMBOLS4 _4 ,NO BASEL9E 9DICATOR IS NE$$ IF A SPACE FOLL[S A SUP]SCRIPT4 _4 ,IF ANY?+ COMES AF ! EXPON5T O!R ?AN A SPACE1 A BASEL9E 9DICATOR " IS US$ AF ! EXPON5T4 ,SUBSCRIPTS )\T ,9DICATORS _4 ,D N USE A SUBSCRIPT 9DICATOR OR A BASEL9E 9DICATOR :5 A V>IABLE HAS A NUM]IC SUBSCRIPT4 ,SQU>E ,ROOTS _4 ,! RADICAL SYMBOL 2G9S A SQU>E ROOT1 & ! T]M9A;N 9DICATOR 5DS ! SQU>E ROOT4 _4 ,! NUM]IC 9DICATOR IS N US$ 2T ! RADICAL SYMBOL & ! T]M9A;N #DA ,*APT] #F B#F4BC 9DICATOR4 _4 ,"! IS NO PR9T EQUIVAL5T = ! T]M9A;N 9DICATOR4 -----------------------------------#F4BD ,*APT] #F3 ,ANSW] ,KEY ,ANSW] #F4A #A4 ;X OP5-P>5!SIS EI5!SIS EQUALS ?IRTY-SIX #B4 TWO OP5-P>5!SIS FIFTE5 DIVID$ BY ?REE CLOSE-P>5!SIS EQUALS T5 #C4 OP5-P>5!SIS ?REE M9US TWO PLUS F\RTE5 CLOSE-P>5!SIS "TS EI5!SIS ?IRTE5 PLUS EI5!SIS DIVID$ BY ?REE EQUALS L;G-DA% #E4 ,USE SUB/ITU;N TO EVALUATE FIVE A PLUS F\R ;B :5 A EQUALS SIX & ;B EQUALS ?REE4 #A4 ,:AT IS ! VALUE ( ;D 9 _% #4(D+5) .K #5 _:8 #B4 ,SOLVE = ;P3 _% #2P .K #3+7 #DB ,*APT] #F A#F4BD #3_4 #4X-12 .K #8 #4_4 (3+3)*2 .K #12 #5_4 #16-T .K #11 _: ,ANSW] #F4B #BA4 ,SOLVE OP5-P>5!SIS FIVE PLUS ;M CLOSE-P>5!SIS M9US SIX EQUALS F\R #BB4 SIX "TS OP5-BRACKET OP5-P>5!SIS ;X M9US F\R CLOSE-P>5!SIS PLUS FIVE CLOSE-BRACKET EQUALS =TY-TWO #BC4 EI5!SIS EI5!SIS PLUS ?REE CLOSE-BRACKET CLOSE BRACE PLUS Z]O EQUALS ;8 #BD4 TWO "TS OP5-BRACKET ?REE PLUS "O-OV]-FIVE OP5-P>5!SIS TW5TY-FIVE DIVID$ BY FIVE CLOSE-P>5!SIS CLOSE-BRACKET EQUALS ;8 _% (A) ,',SOLVE #3(X+7) .K #33 (B) @((8-4)@*3@)+2 .K #14 (C) _: ,USE ! 4TRIBUTIVE PROP]TY TO SOLVE _% #5(3X+7)_4 #DC ,*APT] #F B#F4BD (D) #20-.(@(?1/2#(10./5)-1@)+3.) .K ---- _: -----------------------------------#F4BE ,ANSW] #F4C #A4 V]TICAL-B> TW5TY-FIVE V]TICAL-B> PLUS V]TICAL-B> NEGATIVE FIVE V]TICAL-B> EQUALS L;G-DA% #B4 NEGATIVE F\R1 L;G-DA%1 NEGATIVE TWO1 NEGATIVE "O #C4 ,SIMPLIFY4 V]TICAL-B> FIFTY-FIVE V]TICAL-B> #D4 OP5-P>5!SIS NEGATIVE ?IRTE51 TW5TY-SEV5 CLOSE-P>5!SIS _% (A) \-14\+\7\ .K ---- (B) \15\+\-6\ .K = (C) (-9, -5) (D) ,',IS -\-8\+\-3\ _: POSITIVE OR NEGATIVE8 #DD ,*APT] #F A#F4BE ,ANSW] #F4D #A4 ;Y IS LESS ?AN OR EQUAL TO NEGATIVE TWO #B4 "O-OV]-ELEV5 IS APPROXIMATELY EQUAL TO Z]O PO9T Z]O N9E #C4 EI5!SIS N9E M9US TWO CLOSE-P>5!SIS "TS ?REE IS N EQUAL TO TWO HUNDR$ FIFTE5 #D4 ;T IS GRT] ?AN OR EQUAL TO Z]O #E4 ;X IS LESS ?AN ?REE @.<,NUMB] L9E />T+ AT NEGATIVE TWO & 5D+ AT #D4 ,AN OP5 CIRCLE IS F.D AT #C & AN >R[1 PO9T+ LEFT1 COV]S ! 5TIRE NUMB] L9E TO ! LEFT ( #C4@.> _% #1_4 ,A,B @:@: #24 ;M #2_4 -#1 "K: X "K #6 #3_4 \-10\ /.K -#10 #4_4 Y .1: -#1 #5_4 -#2 "K: X "K #2 _: #DE ,*APT] #F #F4BF ,ANSW] #F4D "<3T9U$"> _% = X [33R33R77R77R77R77R33R33O -3 -2 -1 0 1 2 3 _: ,ANSWER #F4E @.<,SUP]SCRIPTS & SUBSCRIPTS >E 9DICAT$ ) 8SUP]0 & 8SUB01 & ^! PHRASES >E 3NECT$ TO ! A6ECT$ NUM]AL ) A HYPH5 = CL>;Y4@.> #A4 ?REE SUP]-F\R #B4 NEGATIVE TWO OP5-P>5!SIS ;Z SUP]-TWO M9US ;Y SUP]-F\R CLOSE-P>5!SIS #C4 OP5-P>5!SIS ;X SUB-TWO1 ;Y SUB-TWO CLOSE-P>5!SIS #D4 SQU>E ROOT ( ?IRTY-SIX #E4 SQU>E ROOT ( ;X SUP]-?REE @.<,SUP]SCRIPT APPLIES TO 5TIRE SQU>E ROOT4@.> #DF ,*APT] #F A#F4BF _% #1_4 C^5 #2_4 #6(Z^4"-3^2") #3_4 ,A .K ?(B1+B2)/2#H #4_4 >Y^6"] _: #DG