FIRST PERIODIC TEST IN MATH 8 Name:_____________________________________
Section:_________
Multiple Choice: Read Choice: Read each item carefully. Write the letter of the best answer in the blank provided for each item. ____1. Which statement is true? a. he s!uare of a binomial is also a binomial b. he product of a sum and difference of two terms is a binomial. c. he product of a binomial and a trinomial is the s!uare of a trinomial. d. he terms of the cube of a binomial are all positive. ____". Which of the followin# can can be factored? ' ' a. $.$%& ( ")y b. 1.**+&" , 1- ( $.$
d. $.$")+&" , 1-' ( %
c. "*&y+& ( y- , /+& , y-
____'. Which of the followin# values values of k will make &" ( /& , k? a. / b. 1" c. 01$
d. 01*
____*. What What should be multiplied multiplied to +"& ( /- to #et *&" ( "/? a. ""&& , / b. "& ( / c. *&" , 1$& , "/ ____/. What What should be multiplied multiplied to +'y , "- to #et ")y ")y ' , %? a. 'y , " b. 'y ( " ____. 2ind 2ind +"& ( )-". a. *&* ( *
b. *&* 0 1*&" , *
____). 3ultiply: 3ultiply: +%& 'y" ( 4/- +%&'y" , 4/a. *&y* ( 41$ b. *&y ( 41/ _____%. 3ultiply: 3ultiply: +m , '-+m" ( 'm , a. m" (
d. *&" ( 1$& , "/
c. y" , y , *
d. y" 0 y , *
c. *&* ( "%&" , *
d. *&* ( "%&" ( *
c. *&y* ( 1&'y"4/ , 41$
b. m' ,
d. *&y* ( %&'y"4/ , 41$
c. m' ( "
d. m' , ")
____. Which of the followin# followin# is a perfect s!uare trinomial? trinomial? " " " a. & , 1$&y , 1$$y b. & 0 1$&y , 1$$y" c. &" ( "$&y , 1$$ ____1$. Which Which of the followin# is a sum of two cubes? a. &' , b. &' ( 1
c. & , %
____11. ____11. Which of the followin# followin# are the factors of %1& %1& " ( *? a. +& ,"-+& ( "b. +'& , "-+'& ( "-
d. &" ( "$&y , 1$$y "
d. & , 1
c. +'& , "-+&" ( & , *-
____1". What What is the #reatest common common factor in the e&pression e&pression "%& %y*4 , 1&'y*4/? a. %&'y*4/ b. *&'y*4/ c. *&*y*4' d. %&*y*4' ____1'. 2actor 2actor 'm+m ( *- ( +m ( *-. *-. a. +m ( *-+m , 1b. +'m ( 1-+m ( *-
c. +m ( *-"+'m ( 1-
d. 'm+m ( *-"
____1*. 2actor 2actor )t+t ( /- , +/ ( t-. a. +0t ,/-+)t , 'b. +0t ,/-+)t ( '-
c. +t ( /-+)t , '-
d. +t ( /-+)t ( '-
____1/. 2actor ")&' ( *. a. +'& ( *-+&" ( 1"& , 1b. +'& ( *-+&" , 1"& , 1-
c. +'& ( *-+&" , "*& , 1d. +'& , *-+&" ( "*& , 1-
d. +'& 0 "-+&" , & , *-
_____1. 2actor & " ( 1& , 1/ a. +& , /-+& ( '-
b. +& ( /-+& ( '-
c. +& , 1/-+& , 1-
d. +& ( 1/-+& ( 1-
_____1). 2actor *m" , )mn ( "n ". a. +"m ( n-+"m , nb. +*m , n-+m ( "n-
c. +*m ( n-+m , "n-
d. +*m ( "n-+m , n-
_____1%. 2actor 0/&' , /&. a. /&+&" ( 1-
c. 0/&+& , 1-+& ( 1-
d. /&+0&" , 1-
b. 0/&+&" , 1-
_____1. 2ind the missin# term so that 1& * , _____, "/ forms a perfect s!uare trinomial. a. "$& b. "$&" c. *$& d. *$&" _____"$.What is the area of a s!uare whose side is *& ( 1? a. 1&" ( 1 b. 1&" ( %& , 1 c. 1&" , %& , 1
d. 1&" , *& , 1
_____"1. What is the area of a rectan#le whose len#th is +*& , '- and whose width is +& ( 5-? a. *&" ( & ( '6" b. *&" , "& ,'6" c. *&" , /& ( " d. *&" , & ( '6" _____"". he area of a rectan#ular #arden is +1"& " ( %& ( 1/-m"7 what are its dimensions? a. +'& ( /-m by +*& , '-m c. +& ( '-m by +"& ( /-m b. +& , /-m by +"& ( '-m d. +1"& ( 1/-m by +& , 1-m ____"'. 8i4a factored the e&pression 1/& "y' , 1$&*y , /&y as /&y+'&y" , "&'-. 9id 8i4a factor it correctly? a. No7 because /&y is not the common factor. b. es7 because the last term is cancelled out. c. es7 there e&ists a common factor on all terms. d. No7 because the last term when factored is 1 and should not be omitted. ____"*. ;nne s!uared the e&pression '& , *y as & " , 1y"7 which of the followin# statement is correct with the answer of your classmate? a. he answer is correct because to s!uare a binomial distribute the e&ponent. b. he answer is wron# because the product of s!uarin# a binomial is a trinomial. c. he answer is correct because the product of s!uarin# a binomial is another binomial. d. he answer is wron# because to s!uare a binomial is to multiply the e&pression by ". ____"/.
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1. 2ind special products and factors of certain polynomials: product of two binomials7 product of a sum and difference of two terms7 s!uare of a binomial7 cube of a binomial and s!uare of a trinomial. ". 2actor completely different types of polynomials+polynomials with common monomial factor7 difference of two s!uares7 sum and difference of two cubes7 perfect s!uare trinomials7 and #eneral trinomials-. '. Solve problem involvin# products and factors of polynomials.
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