Integrated II: Unit 2 Study Guide 2. Find the value of s. (s - 2) 2 = 200. ~ :-!:[Uost. ~-~::~~n. '!JJori. s: ~ &:Ll()J~

Size: px
Start display at page:

Download "Integrated II: Unit 2 Study Guide 2. Find the value of s. (s - 2) 2 = 200. ~ :-!:[Uost. ~-~::~~n. '!JJori. s: ~ &:Ll()J~"

Transcription

1 Name: 1. Find the value of r., (r + 4) 2 = 48 4_ {1 1:. r l f 11i),_ == :r (t~ : t %J3 (t:; KL\J5 ~ ~ v~~f3] ntegrated : Unit 2 Study Guide 2. Find the value of s. (s 2) 2 = 200 ~ :!:[Uost ~~::~~n '!JJori s: ~ &:Ll()J~ 4. Determine the roots of the equation x 2 + Sx 36 = 0. X O 5.!:) (5)14( )(J& ) 2(1') f., :,J...j 2<;;tl4' 2..,c, _,,.!:~ 5:!. t3 ~ 5. Determine the roots of the equation x 2 x 42 = 0.!< :... ( 1)1)<.:1; 't( )('{t) L(1) /( ;_ l±j 1 r1. ~ z Determine the roots of the equation x 2 Sx 14 = 0. ;(, : ('5).! J{() 'l.._, y(,)(1'4) 2( t) 7. Calculate the roots of the Verify your solution. 3x x + 8 = 0 '. :. (0 ::t [(lo)z.1f(,3){ ~) 2.,(,?,) X:. OiJ 100 _ "i,._ 10:!.Fi (., «> " l o + "'.,. o + 2. 'ir j, " ~ :.,,. T.::: r 3 (p f=t y 0 0 ')) ~ :;, 12 _ 1 b J (p ~") 8. Calculate the roots of the Verift; your solution. 4x Ox + 6 = 0 X:; 10.:1' J(!o)1. Lf(l/)() x :: 2( (..l) l oj. J 1.:> u4 v_ lo:!. fl E, ~ 9. Calculate the roots of the Verify your solution. 5x 2 + 7x 6 = O, i,~ Y1' l((5~(.) )(7~ 2.c.. 5) Y: :. 1.:t J 4,H1½! ;1~ lo { o x: '1:t\ "3 f t 13_ Co 3, ~" lo. (() () 5 ~J 'v + (3 2 () 0~ ',;,' 1

2 ll ti"' 1111 q l1,11li lo 1 11d l h, 1 1,fll'lli, /() ~'. i 11 :l ' tj<1\' 1111~ ) :, 'l J Name: _ 11, lse Lhe quadralic formula to tlnd Lhc zeros. f (x) = x 2 Bx + 1 /.,(~) 1 fcky.l/(i){1) 0 Per: 12. Use the quadratic formula to find the zeros. f (x) = x 2 10x + 9 x '/ L 10)2Jc10)', yl1)l;) u,),\ \ 1\ ( ). ~ J / t,) ' \J 1 '/ l ( 1 '> > l :'> y v: ( )/ ) ('y' J ~' ( 1'/ l{iv 1'1 1. 'Jt' ' ' r ~ ~ 1..y.:1 1 ' 1 >' tv1', 15. Graph. f(x) = x 2 8x 7 vuf4e: K :_ j.f):. J_ :: 4 Lo.. ::,,') ~ ;nt' z..c,)..,z. :1 ~ (,LJ).,_ (4) =t v0' c~1, 1) i T t ' "' '10 ~ ; + ~ 1 ; i ~ : '.. 1!_, l ' ', 1 ' '. i ' ~ l : : ( J. 2

3 , 19. Solve the system of equations algebraically over the set of real numbers. f Y = 2x 5 ly= 4x x Solve the system of equations algebraically over the set of real numbers. { y = 3x + 7 y = 2x 2 + 9x + 7 ::. z.~ z.... l 'Z,>... t0 c A x: _ti'.:t~~ 4N(") Name: Per: 21. Solve the system of equations a lgebraically over the set of real nu mbers. { y = Sx + 1 y = 3x 2 + Sx 11 ~ r e i ;::.. 3t 2. t~, ( ::;~A' o:::?,y2..+ o x ~ x.~ () rjco)...~l~i1 z) Z.L'7) X., ;.. Q j:: ~ "' 1( ::.. O.:!:~'l Q;J:l"Z,.:::'.:5' 1"2 = 0 b & / 22. Simpli fy each expression by using i. ~ i '\1 fj] C ' a i 4 ' <' ',.. "i). _,,,,.. ~~ 1. b. v 64 : f 'l :: [f.l C. s +../147 =5 + ~~ :;5' r i fi ffl {St+ ~ aj d. (2 + 3i)(4 9i) 25. List all words from the box that describe the number, 5 + 3i. 1 m r ~\, 17 " 23. Simplify each expression by using i. \ j6, ~~ ~; f0 1 C. 2 + V128 : 2+;) 2. + : _JT. Jz: {i+ ~ ~ ~ d. (5 i)(2 + 4i) = '5 ~.1 l ~ ( ~ r4d~ lo 'L ru,; _4; z. :: l D +f :" L/(1\ : 10 ~k'~ t '{ ::l 1~ +~ ~ List all words from t he box that describe the numbe r, C. 7 V243 : ""1,~ ~; =J d s",fi' d. (11 2i)(S + 3i) 1l 7, J;Cj10 ; '1")); t., '2. fi l5s w: \}; 3'?'i' lo~,._ L i;c; t 2 3> :' l,c1 27. List all words from the box that d escribe the number,../7. Natural Whole Nu mber ~ rrational r maginary nteger Natural Rational Numbe r maginary Whole nteger 3

4 Name: r er: 28. A ball on an unknown planet is 84 feet with an initial vertical velocity of 7 feet per second. ts h(t) = 7x 2 + 7x + 84, where h(t) ls t he height, in feet, of the ball, and t is the time the ball has been in the air, in seconds. L~~ co., ( c;~tj 29. A ball on an unknown planet is 60 feet with an initial vertical velocity of 48 feet per second. ts h(t) = 12x x + 60, where h(t) is the height, in feet, of the ball, and tis the time t he ball has been in the air, in seconds. ~ ~ \ '\> L '\,,~1K ~ 77\ y;: b. How long will it take for Ll&' the ball to reach the \..;;iu ground after it has been ~ tossed? Round to the 1,.3 o Ll nearest hundredttj.\ l 3 X:= 4 '.:tj ~'l. Lf(11,)(1.6) ' ~ ~ (_l'z) ~ u} $ 30. A ball on an unknown planet is 88 feet with an initial vertical velocity of 2 2 feet per second. ts h(t) = 1lx x + 88, where h(t ) is the height, in feet, of the ball, and t is t he time the ball has been in the air, in seconds. a, b, and c. 4l~c:cri' b. How long will it take for the ball to reach the ground after it has been tossed? Round to the, nearest hundredth. if y~ U~ J(ii,)t Lf(ll)M') ~ ~(,1\) ~ ~ y~~~j.j. )<J :;. 2,~ f4"y4,._..~;_ )';: ± {q3 S b '"V) x :.:e.,u ~ 0 :: 1.! _ ~ ""271 i + 3:0'2... o.r J_.. >= '{ (Dr; ( 6/21 J c. ~ e maximum height t he ball will reach. ve,,,\~: /\ ~ l<? '2._ 2(11) 2).. 0 :.. ll ( l) " L) ta f" ::. u( 1) t 7.:2_ + r "' = l ( 1vi... +.vr ::.. tf t Y t"' {f1 ~ 4

5 F 1 z. i Vt(_ t J 1t "T ++_+fl/. "/ ~~.J 1 ~~1. 'V i> V U f. MJ) :f (.(' /ft t t)~ L 'i~..b± LJ l_ y t...c_ z... _ ~ ;:; :(,,_') '.![(1)~~( 1~\1) _ 2tl)...

UNITS ALGEBRA II WORK PACKET ON QUADRATICS

UNITS ALGEBRA II WORK PACKET ON QUADRATICS UNITS ALGEBRA II WORK PACKET ON QUADRATICS Factoring Practice #1 Algebra II For #1-20, factor each expression completely. Name Date Per 10*3 + i6x2-15* - 24 5* * 3) x2-36 4) x2 + loj: + 24 5) x3-6x2 +

More information

Total Possible Points = 150 Points. 1) David has 980 yards of fencing and wishes to enclose a rectangular area. (2.5 points) + '3 b. 7 + Ib+3, tf-.

Total Possible Points = 150 Points. 1) David has 980 yards of fencing and wishes to enclose a rectangular area. (2.5 points) + '3 b. 7 + Ib+3, tf-. MA180 Professor Fred Katiraie Test IT Form A (Fall 2007) Name: Total Possible Points = 150 Points 1) David has 980 yards of fencing and wishes to enclose a rectangular area. (2.5 points) a) Express the

More information

Ladies and Gentlemen: Please Welcome the Quadratic Formula!

Ladies and Gentlemen: Please Welcome the Quadratic Formula! Lesson.1 Skills Practice Name Date Ladies and Gentlemen: Please Welcome the Quadratic Formula! The Quadratic Formula Vocabulary Complete the Quadratic Formula. Then, identify the discriminant and explain

More information

z E z *" I»! HI UJ LU Q t i G < Q UJ > UJ >- C/J o> o C/) X X UJ 5 UJ 0) te : < C/) < 2 H CD O O) </> UJ Ü QC < 4* P? K ll I I <% "fei 'Q f

z E z * I»! HI UJ LU Q t i G < Q UJ > UJ >- C/J o> o C/) X X UJ 5 UJ 0) te : < C/) < 2 H CD O O) </> UJ Ü QC < 4* P? K ll I I <% fei 'Q f I % 4*? ll I - ü z /) I J (5 /) 2 - / J z Q. J X X J 5 G Q J s J J /J z *" J - LL L Q t-i ' '," ; i-'i S": t : i ) Q "fi 'Q f I»! t i TIS NT IS BST QALITY AVAILABL. T Y FRNIS T TI NTAIN A SIGNIFIANT NBR

More information

~,. :'lr. H ~ j. l' ", ...,~l. 0 '" ~ bl '!; 1'1. :<! f'~.., I,," r: t,... r':l G. t r,. 1'1 [<, ."" f'" 1n. t.1 ~- n I'>' 1:1 , I. <1 ~'..

~,. :'lr. H ~ j. l' , ...,~l. 0 ' ~ bl '!; 1'1. :<! f'~.., I,, r: t,... r':l G. t r,. 1'1 [<, . f' 1n. t.1 ~- n I'>' 1:1 , I. <1 ~'.. ,, 'l t (.) :;,/.I I n ri' ' r l ' rt ( n :' (I : d! n t, :?rj I),.. fl.),. f!..,,., til, ID f-i... j I. 't' r' t II!:t () (l r El,, (fl lj J4 ([) f., () :. -,,.,.I :i l:'!, :I J.A.. t,.. p, - ' I I I

More information

. ~ ~~::::~m Review Sheet #1

. ~ ~~::::~m Review Sheet #1 . ~ ~~::::~m Review Sheet #1 Math lla 1. 2. Which ofthe following represents a function(s)? (1) Y... v \ J 1\ -.. - -\ V i e5 3. The solution set for 2-7 + 12 = 0 is :---:---:- --:...:-._",,, :- --;- --:---;-..!,..;-,...

More information

direct or inverse variation. Write the equation that models the relationship.

direct or inverse variation. Write the equation that models the relationship. Name. Block Date Version A Algebra 2: Chapter 8 Test Review Directions #1&2: Determine if a variation relationship exists. Describe the data in the table as a direct or inverse variation. Write the equation

More information

2 If ax + bx + c = 0, then x = b) What are the x-intercepts of the graph or the real roots of f(x)? Round to 4 decimal places.

2 If ax + bx + c = 0, then x = b) What are the x-intercepts of the graph or the real roots of f(x)? Round to 4 decimal places. Quadratic Formula - Key Background: So far in this course we have solved quadratic equations by the square root method and the factoring method. Each of these methods has its strengths and limitations.

More information

APPH 4200 Physics of Fluids

APPH 4200 Physics of Fluids APPH 42 Physics of Fluids Problem Solving and Vorticity (Ch. 5) 1.!! Quick Review 2.! Vorticity 3.! Kelvin s Theorem 4.! Examples 1 How to solve fluid problems? (Like those in textbook) Ç"Tt=l I $T1P#(

More information

AP Calculus BC. Sample Student Responses and Scoring Commentary. Inside: Free Response Question 3. Scoring Guideline.

AP Calculus BC. Sample Student Responses and Scoring Commentary. Inside: Free Response Question 3. Scoring Guideline. 208 AP Calculus BC Sample Student Responses and Scoring Commentary nside: Free Response Question RR Scoring Guideline RR Student Samples RR Scoring Commentary 208 The College Board. College Board, Advanced

More information

Name: Class: Date: ID: A

Name: Class: Date: ID: A Name: Class: Date: ID: A Algebra Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine which binomial is not a factor of 4x 4 1x 3 46x + 19x

More information

Exhibit 2-9/30/15 Invoice Filing Page 1841 of Page 3660 Docket No

Exhibit 2-9/30/15 Invoice Filing Page 1841 of Page 3660 Docket No xhibit 2-9/3/15 Invie Filing Pge 1841 f Pge 366 Dket. 44498 F u v 7? u ' 1 L ffi s xs L. s 91 S'.e q ; t w W yn S. s t = p '1 F? 5! 4 ` p V -', {} f6 3 j v > ; gl. li -. " F LL tfi = g us J 3 y 4 @" V)

More information

r(j) -::::.- --X U.;,..;...-h_D_Vl_5_ :;;2.. Name: ~s'~o--=-i Class; Date: ID: A

r(j) -::::.- --X U.;,..;...-h_D_Vl_5_ :;;2.. Name: ~s'~o--=-i Class; Date: ID: A Name: ~s'~o--=-i Class; Date: U.;,..;...-h_D_Vl_5 _ MAC 2233 Chapter 4 Review for the test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the derivative

More information

9-8 Completing the Square

9-8 Completing the Square In the previous lesson, you solved quadratic equations by isolating x 2 and then using square roots. This method works if the quadratic equation, when written in standard form, is a perfect square. When

More information

5-6. Quadratic Equations. Zero-Product Property VOCABULARY TEKS FOCUS ESSENTIAL UNDERSTANDING. Problem 1. Solving a Quadratic Equation by Factoring

5-6. Quadratic Equations. Zero-Product Property VOCABULARY TEKS FOCUS ESSENTIAL UNDERSTANDING. Problem 1. Solving a Quadratic Equation by Factoring 5-6 Quadratic Equations TEKS FOCUS TEKS (4)(F) Solve quadratic and square root equations. TEKS (1)(C) Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate,

More information

Systems and inequalites review

Systems and inequalites review Name: Class: Date: Systems and inequalites review Multiple Choice Identify the choice that best completes the statement or answers the question, 1. The approximate solutions to the system of equations

More information

SOLUTION SET. Chapter 9 REQUIREMENTS FOR OBTAINING POPULATION INVERSIONS "LASER FUNDAMENTALS" Second Edition. By William T.

SOLUTION SET. Chapter 9 REQUIREMENTS FOR OBTAINING POPULATION INVERSIONS LASER FUNDAMENTALS Second Edition. By William T. SOLUTION SET Chapter 9 REQUIREMENTS FOR OBTAINING POPULATION INVERSIONS "LASER FUNDAMENTALS" Second Edition By William T. Silfvast C.11 q 1. Using the equations (9.8), (9.9), and (9.10) that were developed

More information

I-1. rei. o & A ;l{ o v(l) o t. e 6rf, \o. afl. 6rt {'il l'i. S o S S. l"l. \o a S lrh S \ S s l'l {a ra \o r' tn $ ra S \ S SG{ $ao. \ S l"l. \ (?

I-1. rei. o & A ;l{ o v(l) o t. e 6rf, \o. afl. 6rt {'il l'i. S o S S. ll. \o a S lrh S \ S s l'l {a ra \o r' tn $ ra S \ S SG{ $ao. \ S ll. \ (? >. 1! = * l >'r : ^, : - fr). ;1,!/!i ;(?= f: r*. fl J :!= J; J- >. Vf i - ) CJ ) ṯ,- ( r k : ( l i ( l 9 ) ( ;l fr i) rf,? l i =r, [l CB i.l.!.) -i l.l l.!. * (.1 (..i -.1.! r ).!,l l.r l ( i b i i '9,

More information

fur \ \,,^N/ D7,,)d.s) 7. The champion and Runner up of the previous year shall be allowed to play directly in final Zone.

fur \ \,,^N/ D7,,)d.s) 7. The champion and Runner up of the previous year shall be allowed to play directly in final Zone. OUL O GR SODRY DUTO, ODS,RT,SMTUR,USWR.l ntuctin f cnuct f Kbi ( y/gil)tunent f 2L-Lg t. 2.. 4.. 6. Mtche hll be lye e K ule f ene f tie t tie Dutin f ech tch hll be - +0 (Rece)+ = M The ticint f ech Te

More information

MPM 2D Final Exam Prep 2, June b) Y = 2(x + 1)2-18. ~..: 2. (xl- 1:'}")( t J') -' ( B. vi::: 2 ~ 1-'+ 4 1<. -t-:2 -( 6! '.

MPM 2D Final Exam Prep 2, June b) Y = 2(x + 1)2-18. ~..: 2. (xl- 1:'})( t J') -' ( B. vi::: 2 ~ 1-'+ 4 1<. -t-:2 -( 6! '. MPM 2D Final Exam Prep 2 June 2017 1. Express each equation in standard form and factored form: ~ ~ +et's 'leu t W (.. ".>tak( a) y = (x + 5)2 + 1 on ::t~'t.{1'" ~heeh v 1' K 1 C'. T.) '. (J. lr lov J

More information

Intermediate Algebra Final Exam Review

Intermediate Algebra Final Exam Review Intermediate Algebra Final Exam Review Note to students: The final exam for MAT10, MAT 11 and MAT1 will consist of 30 multiple-choice questions and a few open-ended questions. The exam itself will cover

More information

Warm-Up Exercises. Daily Ho ework Quiz for use after Lesson 5.2, pages x = 0. Solve the equation.

Warm-Up Exercises. Daily Ho ework Quiz for use after Lesson 5.2, pages x = 0. Solve the equation. ! Date Warm-Up Exercises For use before Lesson 5.3, pages 264-271 Availa le as a tran parency Solve the equation. 1. 5x - 3 = 17 2. 0 = -12 + 3? Find the value of y when = 0,1, and 2. 3. y = -16*2 + 24

More information

MAT 107 College Algebra Fall 2013 Name. Final Exam, Version X

MAT 107 College Algebra Fall 2013 Name. Final Exam, Version X MAT 107 College Algebra Fall 013 Name Final Exam, Version X EKU ID Instructor Part 1: No calculators are allowed on this section. Show all work on your paper. Circle your answer. Each question is worth

More information

< < or a. * or c w u. "* \, w * r? ««m * * Z * < -4 * if # * « * W * <r? # *» */>* - 2r 2 * j j. # w O <» x <» V X * M <2 * * * *

< < or a. * or c w u. * \, w * r? ««m * * Z * < -4 * if # * « * W * <r? # *» */>* - 2r 2 * j j. # w O <» x <» V X * M <2 * * * * - W # a a 2T. mj 5 a a s " V l UJ a > M tf U > n &. at M- ~ a f ^ 3 T N - H f Ml fn -> M - M. a w ma a Z a ~ - «2-5 - J «a -J -J Uk. D tm -5. U U # f # -J «vfl \ \ Q f\ \ y; - z «w W ^ z ~ ~ / 5 - - ^

More information

i;\-'i frz q > R>? >tr E*+ [S I z> N g> F 'x sa :r> >,9 T F >= = = I Y E H H>tr iir- g-i I * s I!,i --' - = a trx - H tnz rqx o >.F g< s Ire tr () -s

i;\-'i frz q > R>? >tr E*+ [S I z> N g> F 'x sa :r> >,9 T F >= = = I Y E H H>tr iir- g-i I * s I!,i --' - = a trx - H tnz rqx o >.F g< s Ire tr () -s 5 C /? >9 T > ; '. ; J ' ' J. \ ;\' \.> ). L; c\ u ( (J ) \ 1 ) : C ) (... >\ > 9 e!) T C). '1!\ /_ \ '\ ' > 9 C > 9.' \( T Z > 9 > 5 P + 9 9 ) :> : + (. \ z : ) z cf C : u 9 ( :!z! Z c (! $ f 1 :.1 f.

More information

MSLC Math 1075 Final Exam Review. 1. Factor completely Solve the absolute value equation algebraically. g. 8x b. 4x 2 5x. f.

MSLC Math 1075 Final Exam Review. 1. Factor completely Solve the absolute value equation algebraically. g. 8x b. 4x 2 5x. f. MSLC Math 07 Final Exam Review Disclaimer: This should NOT be used as your only guide for what to study.. Factor completely. a. x y xy xy mn n 7x x x x 0xy x y e. xy y x y f. z z 7 g. mn m n h. c d i.

More information

/4 Directions: Convert the following equations into vertex form, then identify the vertex by completing the square.

/4 Directions: Convert the following equations into vertex form, then identify the vertex by completing the square. Standard: A-SSE.3b Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines. (Using Vertex Form) Directions: Convert the following equations into

More information

MAC 1147 Final Exam Review

MAC 1147 Final Exam Review MAC 1147 Final Exam Review nstructions: The final exam will consist of 15 questions plu::; a bonus problem. Some questions will have multiple parts and others will not. Some questions will be multiple

More information

1. The graph of a quadratic function is shown. Each square is one unit.

1. The graph of a quadratic function is shown. Each square is one unit. 1. The graph of a quadratic function is shown. Each square is one unit. a. What is the vertex of the function? b. If the lead coefficient (the value of a) is 1, write the formula for the function in vertex

More information

9.4 Start Thinking. 9.4 Warm Up. 9.4 Cumulative Review Warm Up. Use a graphing calculator to graph ( )

9.4 Start Thinking. 9.4 Warm Up. 9.4 Cumulative Review Warm Up. Use a graphing calculator to graph ( ) 9.4 Start Thinking Use a graphing calculator to graph ( ) f x = x + 4x 1. Find the minimum of the function using the CALC feature on the graphing calculator. Explain the relationship between the minimum

More information

Algebra II Unit #2 4.6 NOTES: Solving Quadratic Equations (More Methods) Block:

Algebra II Unit #2 4.6 NOTES: Solving Quadratic Equations (More Methods) Block: Algebra II Unit # Name: 4.6 NOTES: Solving Quadratic Equations (More Methods) Block: (A) Background Skills - Simplifying Radicals To simplify a radical that is not a perfect square: 50 8 300 7 7 98 (B)

More information

Properties of Graphs of Polynomial Functions Terminology Associated with Graphs of Polynomial Functions

Properties of Graphs of Polynomial Functions Terminology Associated with Graphs of Polynomial Functions Properties of Graphs of Polynomial Functions Terminology Associated with Graphs of Polynomial Functions Detennine what types of polynomial functions/, g, and hare graphed below Give a reason for your conclusions

More information

171S3.2 Quadratic Equations, Functions, Zeros, and Models September 30, Quadratic Equations, Functions, Zeros, and Models

171S3.2 Quadratic Equations, Functions, Zeros, and Models September 30, Quadratic Equations, Functions, Zeros, and Models MAT 171 Precalculus Algebra Dr. Claude Moore Cape Fear Community College CHAPTER 3: Quadratic Functions and Equations; Inequalities 3.1 The Complex Numbers 3.2 Quadratic Equations, Functions, Zeros, and

More information

CHAPTER 3: Quadratic Functions and Equations; Inequalities

CHAPTER 3: Quadratic Functions and Equations; Inequalities MAT 171 Precalculus Algebra Dr. Claude Moore Cape Fear Community College CHAPTER 3: Quadratic Functions and Equations; Inequalities 3.1 The Complex Numbers 3.2 Quadratic Equations, Functions, Zeros, and

More information

ECE430 Name 5 () ( '-'1-+/~ Or"- f w.s. Section: (Circle One) 10 MWF 12:30 TuTh (Sauer) (Liu) TOTAL: USEFUL INFORMATION

ECE430 Name 5 () ( '-'1-+/~ Or- f w.s. Section: (Circle One) 10 MWF 12:30 TuTh (Sauer) (Liu) TOTAL: USEFUL INFORMATION " ~~~~~,",,_~"",,"cr,~ - r " ECE430 Name 5 () ( '-'1-+/~ Or"- f ws Exam #2 (print Name) Spring 2005 Section: (Circle One) 10 MWF 12:30 TuTh (Sauer) (Liu) Problem 1 Problem 2 Problem 3 Problem 4 TOTAL:

More information

r- - - ~~~.- J2 - Jff% ... ~ '"z.j 0..." :: [faop)''» ==H [to RO ::: 2. a.s' \ITO -FY =- ~fi ::- \~.Ji' N ~o~ m \r:-;; nnr;;- VVI.

r- - - ~~~.- J2 - Jff% ... ~ 'z.j 0... :: [faop)''» ==H [to RO ::: 2. a.s' \ITO -FY =- ~fi ::- \~.Ji' N ~o~ m \r:-;; nnr;;- VVI. MA 103 Sections 7.3, 7.4, 7.5 Simplifying Radical Expressions 1. Radical expressions can be written in simplified form by making use ofthe properties If ~ and ~ are defined, then ~~ = ~ and ~ = nr; n~

More information

c. What is the average rate of change of f on the interval [, ]? Answer: d. What is a local minimum value of f? Answer: 5 e. On what interval(s) is f

c. What is the average rate of change of f on the interval [, ]? Answer: d. What is a local minimum value of f? Answer: 5 e. On what interval(s) is f Essential Skills Chapter f ( x + h) f ( x ). Simplifying the difference quotient Section. h f ( x + h) f ( x ) Example: For f ( x) = 4x 4 x, find and simplify completely. h Answer: 4 8x 4 h. Finding the

More information

,., [~== -I ] ~y_/5 =- 21 Y -/ Y. t. \,X ::: 3J ~ - 3. Test: Linear equations and Linear inequalities. At!$fJJ' ~ dt~ - 5 = -7C +4 + re -t~ -+>< 1- )_

,., [~== -I ] ~y_/5 =- 21 Y -/ Y. t. \,X ::: 3J ~ - 3. Test: Linear equations and Linear inequalities. At!$fJJ' ~ dt~ - 5 = -7C +4 + re -t~ -+>< 1- )_ CST 11 Math - September 16 th, 2016 Test: Linear equations and Linear inequalities NAME: At!$fJJ' ~ Section: MCU504: -- - 86 1100 1. Solve the equations below: (4 marks) 2 5 a) 3("3 x -"3) = - x + 4 /{J1:x

More information

lsolve. 25(x + 3)2-2 = 0

lsolve. 25(x + 3)2-2 = 0 II nrm!: lsolve. 25(x + 3)2-2 = 0 ISolve. 4(x - 7) 2-5 = 0 Isolate the squared term. Move everything but the term being squared to the opposite side of the equal sign. Use opposite operations. Isolate

More information

BARUCH COLLEGE MATH 1030 Practice Final Part 1, NO CALCULATORS. (E) All real numbers. (C) y = 1 2 x 5 2

BARUCH COLLEGE MATH 1030 Practice Final Part 1, NO CALCULATORS. (E) All real numbers. (C) y = 1 2 x 5 2 BARUCH COLLEGE MATH 1030 Practice Final Part 1, NO CALCULATORS 1. Find the domain of f(x) = x + x x 4x. 1. (A) (, 0) (0, 4) (4, ) (B) (, 0) (4, ) (C) (, 4) (4, ) (D) (, ) (, 0) (0, ) (E) All real numbers.

More information

Mid-Chapter Quiz: Lessons 1-1 through 1-4

Mid-Chapter Quiz: Lessons 1-1 through 1-4 Determine whether each relation represents y as a function of x. 1. 3x + 7y = 21 This equation represents y as a function of x, because for every x-value there is exactly one corresponding y-value. function

More information

Using the Rational Root Theorem to Find Real and Imaginary Roots Real roots can be one of two types: ra...-\; 0 or - l (- - ONLl --

Using the Rational Root Theorem to Find Real and Imaginary Roots Real roots can be one of two types: ra...-\; 0 or - l (- - ONLl -- Using the Rational Root Theorem to Find Real and Imaginary Roots Real roots can be one of two types: ra...-\; 0 or - l (- - ONLl -- Consider the function h(x) =IJ\ 4-8x 3-12x 2 + 24x {?\whose graph is

More information

Quadratic Equations. Math 20-1 Chapter 4. General Outcome: Develop algebraic and graphical reasoning through the study of relations.

Quadratic Equations. Math 20-1 Chapter 4. General Outcome: Develop algebraic and graphical reasoning through the study of relations. Math 20-1 Chapter 4 Quadratic Equations General Outcome: Develop algebraic and graphical reasoning through the study of relations. Specific Outcomes: RF1. Factor polynomial expressions of the form: ax

More information

l(- oo)-~j [-I <. )( L6\ \ -J ~ ~ ~~~ ~~L{ ,~:::-=r\ or L":: -j) {fevylemr.eor k, ("p J~ -4" e S ' e,~ :; ij or J iv I 0"'& ~~ a. 11 qa.

l(- oo)-~j [-I <. )( L6\ \ -J ~ ~ ~~~ ~~L{ ,~:::-=r\ or L:: -j) {fevylemr.eor k, (p J~ -4 e S ' e,~ :; ij or J iv I 0'& ~~ a. 11 qa. Algebra II Midterm Exam Review Solve: R view of Algebra 1 4. 215x + 31 = 16 /5xt3 1:: & 3 :: 2.1 3" ::. -J5 /,:::-=r\ or L":: -j) 2. II-2xl = 15 / j - ;).'1 -:.115 00( 1-).)(":.-15 - X-: 1"1 by:-t3-8 5

More information

Keep this exam closed until you are told to begin.

Keep this exam closed until you are told to begin. Name: (please print) Signature: ECE 2300 -- Exam #1 October 11, 2014 Keep this exam closed until you are told to begin. 1. This exam is closed book, closed notes. You may use one 8.5 x 11 crib sheet, or

More information

Future Self-Guides. E,.?, :0-..-.,0 Q., 5...q ',D5', 4,] 1-}., d-'.4.., _. ZoltAn Dbrnyei Introduction. u u rt 5,4) ,-,4, a. a aci,, u 4.

Future Self-Guides. E,.?, :0-..-.,0 Q., 5...q ',D5', 4,] 1-}., d-'.4.., _. ZoltAn Dbrnyei Introduction. u u rt 5,4) ,-,4, a. a aci,, u 4. te SelfGi ZltAn Dbnyei Intdtin ; ) Q) 4 t? ) t _ 4 73 y S _ E _ p p 4 t t 4) 1_ ::_ J 1 `i () L VI O I4 " " 1 D 4 L e Q) 1 k) QJ 7 j ZS _Le t 1 ej!2 i1 L 77 7 G (4) 4 6 t (1 ;7 bb F) t f; n (i M Q) 7S

More information

::::l<r/ L- 1-1>(=-ft\ii--r(~1J~:::: Fo. l. AG -=(0,.2,L}> M - &-c ==- < ) I) ~..-.::.1 ( \ I 0. /:rf!:,-t- f1c =- <I _,, -2...

::::l<r/ L- 1-1>(=-ft\ii--r(~1J~:::: Fo. l. AG -=(0,.2,L}> M - &-c ==- < ) I) ~..-.::.1 ( \ I 0. /:rf!:,-t- f1c =- <I _,, -2... Math 3298 Exam 1 NAME: SCORE: l. Given three points A(I, l, 1), B(l,;2, 3), C(2, - l, 2). (a) Find vectors AD, AC, nc. (b) Find AB+ DC, AB - AC, and 2AD. -->,,. /:rf!:,-t- f1c =-

More information

S U E K E AY S S H A R O N T IM B E R W IN D M A R T Z -PA U L L IN. Carlisle Franklin Springboro. Clearcreek TWP. Middletown. Turtlecreek TWP.

S U E K E AY S S H A R O N T IM B E R W IN D M A R T Z -PA U L L IN. Carlisle Franklin Springboro. Clearcreek TWP. Middletown. Turtlecreek TWP. F R A N K L IN M A D IS O N S U E R O B E R T LE IC H T Y A LY C E C H A M B E R L A IN T W IN C R E E K M A R T Z -PA U L L IN C O R A O W E N M E A D O W L A R K W R E N N LA N T IS R E D R O B IN F

More information

Ed H. H w H Ed. en 2: Ed. o o o z. o o. Q Ed. Ed Q to. PQ in o c3 o o. Ed P5 H Z. < u z. Ed H H Z O H U Z. > to. <! Ed Q. < Ed > Es.

Ed H. H w H Ed. en 2: Ed. o o o z. o o. Q Ed. Ed Q to. PQ in o c3 o o. Ed P5 H Z. < u z. Ed H H Z O H U Z. > to. <! Ed Q. < Ed > Es. d n 2: d t d t d! d d 52 d t d d P in t d. d P5 d - d d , d P il 0) m d p P p x d d n N r -^ T) n «n - P & J (N 0 ' 4 «"«5 -» % «D *5JD V 9 * * /J -2.2 " ^ 0 n 0) - P - i- 0) G V V - 1(2). i 1 1 & i '

More information

Study Guide and Intervention. The Quadratic Formula and the Discriminant. Quadratic Formula. Replace a with 1, b with -5, and c with -14.

Study Guide and Intervention. The Quadratic Formula and the Discriminant. Quadratic Formula. Replace a with 1, b with -5, and c with -14. 4-6 Study Guide and Intervention Quadratic Formula The Quadratic Formula can be used to solve any quadratic equation once it is written in the form ax 2 + bx + c = 0. Quadratic Formula The solutions of

More information

Score: Fall 2009 Name Row 80. C(t) = 30te- O. 04t

Score: Fall 2009 Name Row 80. C(t) = 30te- O. 04t Math 1410 - Test #3A Score: Fall 2009 Name Row 80 Q1: This is a calculator problem. If t, in minutes, is the time since a drug was administered, the concentration, C(t) in ng/ml, of a drug in a patient's

More information

T h e C S E T I P r o j e c t

T h e C S E T I P r o j e c t T h e P r o j e c t T H E P R O J E C T T A B L E O F C O N T E N T S A r t i c l e P a g e C o m p r e h e n s i v e A s s es s m e n t o f t h e U F O / E T I P h e n o m e n o n M a y 1 9 9 1 1 E T

More information

PAP Geometry Summer Work- Show your work

PAP Geometry Summer Work- Show your work PRE- PAP Geometry Summer Work- Show your work Solve the equation. Check your solution. 1. 2. Solve the equation. 3. 4. 5. Describe the values of c for which the equation has no solution. Write the sentence

More information

EXAM 1 Review. 1. Find the distance between the points (2, 6) and ( 5, 2). Give the exact solution and an approximation to the nearest hundredth.

EXAM 1 Review. 1. Find the distance between the points (2, 6) and ( 5, 2). Give the exact solution and an approximation to the nearest hundredth. EXAM 1 Review 1. Find the distance between the points (2, 6) and ( 5, 2). Give the exact solution and an approximation to the nearest hundredth. 2. Find the midpoint of the line segment with end points

More information

Physics 2210 Fall 2012 Da\ id Ailion

Physics 2210 Fall 2012 Da\ id Ailion Physics 2210 Fall 2012 Da\ id Ailion j0qt\ Name: Vnid: ~----------- Exam IY F Discussion TA: -----~-------- 1 Place a circle or box around each answer. SpecifY units for each answer. Report all numbers

More information

Beechwood Music Department Staff

Beechwood Music Department Staff Beechwood Music Department Staff MRS SARAH KERSHAW - HEAD OF MUSIC S a ra h K e rs h a w t r a i n e d a t t h e R oy a l We ls h C o l le g e of M u s i c a n d D ra m a w h e re s h e ob t a i n e d

More information

STEEL PIPE NIPPLE BLACK AND GALVANIZED

STEEL PIPE NIPPLE BLACK AND GALVANIZED Price Sheet Effective August 09, 2018 Supersedes CWN-218 A Member of The Phoenix Forge Group CapProducts LTD. Phone: 519-482-5000 Fax: 519-482-7728 Toll Free: 800-265-5586 www.capproducts.com www.capitolcamco.com

More information

NO) Tails 4,4 r ----p h

NO) Tails 4,4 r ----p h Algebra 1 10.3 and 10.4 Part 3 Worksheet Name: Hour: Solving Q adratics by Factoring and Taking Square Roots Worksheet 1. Match each grop.1 A.) its function. A. = x2 I B. f(x) = x + 4 D. f(x) = 3x2 5 E.

More information

Algebra 1: Final Exam Review 2013 Mrs. Brennan!Mr. Carell

Algebra 1: Final Exam Review 2013 Mrs. Brennan!Mr. Carell Algebra 1: Final Exam Review 2013 Mrs. Brennan!Mr. Carell Monday June 24, 2013 8:00am to 10:00am Format: 80 multiple choice 4 free response Total 1 point each 5 points each 1 O0 points Content: Chapter

More information

p r * < & *'& ' 6 y S & S f \ ) <» d «~ * c t U * p c ^ 6 *

p r * < & *'& ' 6 y S & S f \ ) <» d «~ * c t U * p c ^ 6 * B. - - F -.. * i r > --------------------------------------------------------------------------- ^ l y ^ & * s ^ C i$ j4 A m A ^ v < ^ 4 ^ - 'C < ^y^-~ r% ^, n y ^, / f/rf O iy r0 ^ C ) - j V L^-**s *-y

More information

Unit 7 Review - Radicals and Rational Expressions

Unit 7 Review - Radicals and Rational Expressions Name: Class: Date: D: A Unit 7 Review - Radicals and Rational Epressions. Simplify 8 4. b. 8 6 True or False:.. For any integer a:;:. 0, a n = an'. For any integer n > 0 and any positive real number a,

More information

11.2 The Quadratic Formula

11.2 The Quadratic Formula 11.2 The Quadratic Formula Solving Quadratic Equations Using the Quadratic Formula. By solving the general quadratic equation ax 2 + bx + c = 0 using the method of completing the square, one can derive

More information

SOLUTION SET. Chapter 8 LASER OSCILLATION ABOVE THRESHOLD "LASER FUNDAMENTALS" Second Edition

SOLUTION SET. Chapter 8 LASER OSCILLATION ABOVE THRESHOLD LASER FUNDAMENTALS Second Edition SOLUTION SET Chapter 8 LASER OSCILLATION ABOVE THRESHOLD "LASER FUNDAMENTALS" Second Edition By William T. Silfvast - 1. An argon ion laser (as shown in Figure 10-S(b)) operating at 488.0 nm with a gainregion

More information

(308 ) EXAMPLES. 1. FIND the quotient and remainder when. II. 1. Find a root of the equation x* = +J Find a root of the equation x 6 = ^ - 1.

(308 ) EXAMPLES. 1. FIND the quotient and remainder when. II. 1. Find a root of the equation x* = +J Find a root of the equation x 6 = ^ - 1. (308 ) EXAMPLES. N 1. FIND the quotient and remainder when is divided by x 4. I. x 5 + 7x* + 3a; 3 + 17a 2 + 10* - 14 2. Expand (a + bx) n in powers of x, and then obtain the first derived function of

More information

S~ONOH II V~8391V M3I"3~ WVX3 lvnld

S~ONOH II V~8391V M3I3~ WVX3 lvnld (0/0 g +noqo) 6 Ja+d04J (%gi moqo) L Ja+d04J +OWJOd wox3 "do::> D aq +OUUD::>+! PUD 6U!-JJM PUD4 Jno" U! aq +smu H sap!s 4+oq uo 6U!+!JM 4+JM p.rooarou "gx D pamolid aq II!M noa SONOH II V8391V M3I"3 WVX3

More information

Name I.D. Number. Select the response that best completes the statement or answers the question.

Name I.D. Number. Select the response that best completes the statement or answers the question. Name I.D. Number Unit 4 Evaluation Evaluation 04 Second Year Algebra 1 (MTHH 039 059) This evaluation will cover the lessons in this unit. It is open book, meaning you can use your textbook, syllabus,

More information

THE WORLD BANK GROUP ARCHIVES PUBLIC DISCLOSURE AUTHORIZED

THE WORLD BANK GROUP ARCHIVES PUBLIC DISCLOSURE AUTHORIZED THE WORLD BANK GROUP ARCHIVES PUBLIC DISCLOSURE AUTHORIZED Folder Title: Finland-LN-61 - Photographs - Volume 1 Folder ID: 1721443 Fonds: Records of Office of External Affairs (WB IBRD/IDA EXT) Digitized:

More information

Solving Equations with the Quadratic Formula

Solving Equations with the Quadratic Formula 0 Solving Equations with the Quadratic Formula In this chapter, you will have the opportunity to practice solving equations using the quadratic formula. In Chapter 17, you practiced using factoring to

More information

'NOTAS"CRITICAS PARA UNA TEDRIA DE M BUROCRACIA ESTATAL * Oscar Oszlak

'NOTASCRITICAS PARA UNA TEDRIA DE M BUROCRACIA ESTATAL * Oscar Oszlak OVí "^Ox^ OqAÍ"^ Dcument SD-11 \ 'NOTAS"CRTCAS PARA UNA TEDRA DE M BUROCRACA ESTATAL * Oscr Oszlk * El presente dcument que se reprduce pr us exclusv de ls prtcpntes de curss de Prrms de Cpctcón, se h

More information

4.1 Solving Systems of Equations Graphically. Draw pictures to represent the possible number of solutions that a linear-quadratic system can have:

4.1 Solving Systems of Equations Graphically. Draw pictures to represent the possible number of solutions that a linear-quadratic system can have: 4.1 Solving Systems of Equations Graphically Linear- Quadratic A Linear-Quadratic System of Equations is a linear equation and a quadratic equation involving the same two variables. The solution(s) to

More information

Music by: Theresa Lee-Whiting. Lyrics by: Rev. Dr. Brolin Parker. Piano. Pno.

Music by: Theresa Lee-Whiting. Lyrics by: Rev. Dr. Brolin Parker. Piano. Pno. A Chistmas Geeting Dab is the life, and sighfully long, which neve has head an angel's song. Dak is the night whose sky.full of space is staless offancy and its pomise of gace. So let the mey bells be

More information

wo(..lr.i L"'J b]. tr+ +&..) i'> 't\uow).,...,. (o.. J \,} --ti \(' m'\...\,,.q.)).

wo(..lr.i L'J b]. tr+ +&..) i'> 't\uow).,...,. (o.. J \,} --ti \(' m'\...\,,.q.)). Applying Theorems in Calculus 11ter111ediate Value Theorem, Ettreme Value Theorem, Rolle 's Theorem, and l\ea11 Value Theorem Before we begin. let's remember what each of these theorems says about a function.

More information

Unit 2 Day 7. Quadratic Formula & the Discriminant

Unit 2 Day 7. Quadratic Formula & the Discriminant Unit Day 7 Quadratic Formula & the Discriminant 1 Warm Up Day 7 1. Solve each of the quadratic functions by graphing and algebraic reasoning: a. x 3 = 0 b. x + 5x 8 = 0 c. Explain why having alternative

More information

( 'l--7,1:\. (-!-)'1..- l L.._ 1 - ~ + 1 _L I. . \~ -true. ~t" ~~ i ~ i 5. ~so\ unci\ ln+ej5c:g-hoy\ 'X"2:. L9. '>G +I = D )( 2 - l.t '>< t-t = 2.

( 'l--7,1:\. (-!-)'1..- l L.._ 1 - ~ + 1 _L I. . \~ -true. ~t ~~ i ~ i 5. ~so\ unci\ ln+ej5c:g-hoy\ 'X2:. L9. '>G +I = D )( 2 - l.t '>< t-t = 2. . Midterm Review Integrated Math 3 1. Which of the following ordered pairs is in the solution set of the system of inequalities? ( 'l--7,1:\. (-!-)'1..- l L.._ 1 - ~ + 1 _L I (show work and plug in each

More information

Name Date Class California Standards 17.0, Quadratic Equations and Functions. Step 2: Graph the points. Plot the ordered pairs from your table.

Name Date Class California Standards 17.0, Quadratic Equations and Functions. Step 2: Graph the points. Plot the ordered pairs from your table. California Standards 17.0, 1.0 9-1 There are three steps to graphing a quadratic function. Graph y x 3. Quadratic Equations and Functions 6 y 6 y x y x 3 5 1 1 0 3 1 1 5 0 x 0 x Step 1: Make a table of

More information

TABLES OF DISTRIBUTIONS OF QUADRATIC FORMS IN CENTRAL NORMAL VARIABLES II. Institute of Statistics Mimeo Series No. 557.

TABLES OF DISTRIBUTIONS OF QUADRATIC FORMS IN CENTRAL NORMAL VARIABLES II. Institute of Statistics Mimeo Series No. 557. TABLES OF DISTRIBUTIONS OF QUADRATIC FORMS IN CENTRAL NORMAL VARIABLES II N. L. Johnson* and Samuel Kotz** University of North Carolina Chapel Hill, N. C. Temple University Philadelphia, Pa. Institute

More information

Unit 3: HW3.5 Sum and Product

Unit 3: HW3.5 Sum and Product Unit 3: HW3.5 Sum and Product Without solving, find the sum and product of the roots of each equation. 1. x 2 8x + 7 = 0 2. 2x + 5 = x 2 3. -7x + 4 = -3x 2 4. -10x 2 = 5x - 2 5. 5x 2 2x 3 4 6. 1 3 x2 3x

More information

Mathematics Extension 1

Mathematics Extension 1 BAULKHAM HILLS HIGH SCHOOL TRIAL 04 YEAR TASK 4 Mathematics Etension General Instructions Reading time 5 minutes Working time 0 minutes Write using black or blue pen Board-approved calculators may be used

More information

Unit 1 Study Guide Answers. 1a. Domain: 2, -3 Range: -3, 4, -4, 0 Inverse: {(-3,2), (4, -3), (-4, 2), (0, -3)}

Unit 1 Study Guide Answers. 1a. Domain: 2, -3 Range: -3, 4, -4, 0 Inverse: {(-3,2), (4, -3), (-4, 2), (0, -3)} Unit 1 Study Guide Answers 1a. Domain: 2, -3 Range: -3, 4, -4, 0 Inverse: {(-3,2), (4, -3), (-4, 2), (0, -3)} 1b. x 2-3 2-3 y -3 4-4 0 1c. no 2a. y = x 2b. y = mx+ b 2c. 2e. 2d. all real numbers 2f. yes

More information

o V fc rt* rh '.L i.p -Z :. -* & , -. \, _ * / r s* / / ' J / X - -

o V fc rt* rh '.L i.p -Z :. -* & , -. \, _ * / r s* / / ' J / X - - -. ' ' " / ' * * ' w, ~ n I: ».r< A < ' : l? S p f - f ( r ^ < - i r r. : '. M.s H m **.' * U -i\ i 3 -. y$. S 3. -r^ o V fc rt* rh '.L i.p -Z :. -* & --------- c it a- ; '.(Jy 1/ } / ^ I f! _ * ----*>C\

More information

Practice Test - Chapter 2

Practice Test - Chapter 2 Graph and analyze each function. Describe the domain, range, intercepts, end behavior, continuity, and where the function is increasing or decreasing. 1. f (x) = 0.25x 3 Evaluate the function for several

More information

l [ L&U DOK. SENTER Denne rapport tilhører Returneres etter bruk Dokument: Arkiv: Arkivstykke/Ref: ARKAS OO.S Merknad: CP0205V Plassering:

l [ L&U DOK. SENTER Denne rapport tilhører Returneres etter bruk Dokument: Arkiv: Arkivstykke/Ref: ARKAS OO.S Merknad: CP0205V Plassering: I Denne rapport thører L&U DOK. SENTER Returneres etter bruk UTLÅN FRA FJERNARKIVET. UTLÅN ID: 02-0752 MASKINVN 4, FORUS - ADRESSE ST-MA LANETAKER ER ANSVARLIG FOR RETUR AV DETTE DOKUMENTET. VENNLIGST

More information

Pg #11-13, 15, 17, 18, AND Pg # 3-5, 12-15, 19, 20, 25, 27

Pg #11-13, 15, 17, 18, AND Pg # 3-5, 12-15, 19, 20, 25, 27 Pg 506-507 #11-13, 15, 17, 18, 21-24 AND Pg 512-513 # 3-5, 12-15, 19, 20, 25, 27 Pg 518-519 #6-12, 27 AND Pg 520-521 #1-17 Name ~~y~~-0 Date m:t.]iifu;fj - Area of Polygons, Find the area of each polygon.

More information

The Quadratic Formula. ax 2 bx c 0 where a 0. Deriving the Quadratic Formula. Isolate the constant on the right side of the equation.

The Quadratic Formula. ax 2 bx c 0 where a 0. Deriving the Quadratic Formula. Isolate the constant on the right side of the equation. SECTION 11.2 11.2 The Quadratic Formula 11.2 OBJECTIVES 1. Solve quadratic equations by using the quadratic formula 2. Determine the nature of the solutions of a quadratic equation by using the discriminant

More information

Nrer/ \f l xeaoe Rx RxyrZH IABXAP.qAATTAJI xvbbqaat KOMnAHT1. rvfiqgrrox 3Axl4 Pn br H esep fiyraap: qa/oq YnaaH6aarap xor

Nrer/ \f l xeaoe Rx RxyrZH IABXAP.qAATTAJI xvbbqaat KOMnAHT1. rvfiqgrrox 3Axl4 Pn br H esep fiyraap: qa/oq YnaaH6aarap xor 4 e/ f l ee R RyZH BXP.J vbb KOMnH1 vfig 3l4 Pn b H vlun @*,/capn/t eep fiyaap: a/ YnaaH6aaap eneaneee 6ana tyail CaHafiu cafigun 2015 Hu 35 nyaap l'p 6ana4caH "Xe4ee a aylzh abap gaan" XKailH gypeu"uzn

More information

r r 30 y 20y 8 7y x 6x x 5x x 8x m m t 9t 12 n 4n r 17r x 9x m 7m x 7x t t 18 x 2x U3L1 - Review of Distributive Law and Factoring

r r 30 y 20y 8 7y x 6x x 5x x 8x m m t 9t 12 n 4n r 17r x 9x m 7m x 7x t t 18 x 2x U3L1 - Review of Distributive Law and Factoring UL - Review of Distributive Law and Factoring. Expand and simplify. a) (6mn )(-5m 4 n 6 ) b) -6x 4 y 5 z 7 (-x 7 y 4 z) c) (x 4) - (x 5) d) (y 9y + 5) 5(y 4) e) 5(x 4y) (x 5y) + 7 f) 4(a b c) 6(4a + b

More information

TRAN S F O R M E R S TRA N SMI S S I O N. SECTION AB Issue 2, March, March,1958, by American Telephone and Telegraph Company

TRAN S F O R M E R S TRA N SMI S S I O N. SECTION AB Issue 2, March, March,1958, by American Telephone and Telegraph Company B B, ch, 9 B h f h c h l f f Bll lh, c chcl l l k l, h, h ch f h f ll ll l f h lh h c ll k f Bll lh, c ck ll ch,9, c lh lh B B c x l l f f f 9 B l f c l f f l 9 f B c, h f c x ch 9 B B h f f fc Bll c f

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA II

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA II ALGEBRA The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA II Wednesday, January 24, 2018 - Student Name: jv1 (,

More information

Algebra II Honors Test Review 6-1 to 6-4

Algebra II Honors Test Review 6-1 to 6-4 Name: Class: Date: Algebra II Honors Test Review 6-1 to 6-4 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Use a graphing calculator to determine which

More information

UNIT #9 ROOTS AND IRRATIONAL NUMBERS REVIEW QUESTIONS

UNIT #9 ROOTS AND IRRATIONAL NUMBERS REVIEW QUESTIONS Answer Key Name: Date: UNIT #9 ROOTS AND IRRATIONAL NUMBERS REVIEW QUESTIONS Part I Questions. Which of the following is the value of 6? () 6 () 4 () (4). The epression is equivalent to 6 6 6 6 () () 6

More information

Math 137 Exam #3 Review Guide

Math 137 Exam #3 Review Guide Math 7 Exam # Review Guide The third exam will cover Sections.-.6, 4.-4.7. The problems on this review guide are representative of the type of problems worked on homework and during class time. Do not

More information

{nuy,l^, W%- TEXAS DEPARTMENT OT STATE HEALTH SERVICES

{nuy,l^, W%- TEXAS DEPARTMENT OT STATE HEALTH SERVICES TXAS DARTMT T STAT AT SRVS J RSTDT, M.D. MMSSR.. Bx 149347 Astn, T exs 7 87 4 93 47 18889371 1 TTY: l800732989 www.shs.stte.tx.s R: l nmtn n mps Webstes De Spentenent n Shl Amnsttn, eby 8,201 k 2007, the

More information

WALL D*TA PRINT-OUT. 3 nmth ZONE

WALL D*TA PRINT-OUT. 3 nmth ZONE T A B L E A 4. 3 G L A S S D A T A P R I N T - O U T H T C L».>qth» H e ig h t n u «b»r C L A S S D A T A P R I N T O U T it************************************ 1*q o v»rh # n g recm oi*ion*l orient n

More information

Unit 9: Quadratics Intercept Form

Unit 9: Quadratics Intercept Form For Teacher Use Packet Score: Name: Period: Algebra 1 Unit 9: Quadratics Intercept Form Note & Homework Packet Date Topic/Assignment HW Page 9-A Graphing Parabolas in Intercept Form 9-B Solve Quadratic

More information

We enclose herewith a copy of your notice of October 20, 1990 for your reference purposes.

We enclose herewith a copy of your notice of October 20, 1990 for your reference purposes. W-E AND ISuC ATTORNEYS AT lhw 10 QUEEN STIlEET P. 0. BOX NO. 201 NEWTOWN. CONNEWICUT 06470 OEOROE N. WNCELEE HENRY J. ISAAC BUWrpOff 203 9992218 FAX NO. 903-4P6-3011 October 30, 1990.. The Master Collectors

More information

I J DIRECTIONS. 1 A savings account balance can be modeled by the graph of the linear function shown on the grid. Savings Account. 450,...

I J DIRECTIONS. 1 A savings account balance can be modeled by the graph of the linear function shown on the grid. Savings Account. 450,... DRETONS Read each question carefull. For a multiple-choice question, determine the best answer to the question from the four answer choices provided. For a griddable question, determine the best answer

More information

-r IdfJ (r-lc) / f\&() + Q sz r I~ (Y\(,J /I\q) +- fy\17. ~~/VL ~ V\ ("I) -:: f\(") e-rn~>,/'(-

-r IdfJ (r-lc) / f\&() + Q sz r I~ (Y\(,J /I\q) +- fy\17. ~~/VL ~ V\ (I) -:: f\() e-rn~>,/'(- 1. Consider a dilute gas of particles in the atmosphere. Near the earth's surface, the force on a particle of mass m may be taken as a constant, F = -mgj, where J is a unit vector in the vertical direction.

More information