Algebra Demystified 2nd Ed

460 algebra De mystif ieD

DeMYSTiFieD / algebra DeMYSTiFieD / gibilisco / 000-0 / appendix

70. 
    

    At 1:50, a news van passed a certain mile marker, heading southward at
    60 mph. Ten minutes later, a second news van, going to the same story,
    passed the same mile marking at 72 mph. Assuming the vans maintain
    their direction and speed, when will the second news van catch up to the
    first?
    A. 2:40 B. 2:45 C. 2:50 D. 2:55

    
    


71. 
    

    Completely factor 81 x^4 − 16.
    A. ()94x^22 − B. () 32 xx−+^22 () 32 C. ()94x^22 −
    D. () 32 xxx−+() 32 () 942 +

    
    


72. 
    

    (^) ()65x+=^2
    A. 36 x^2 + 25 B. 36 xx^2 ++ 60 25 C. 62 x^2 + 5 D. 36 xx^2 ++ 30 25

    
    


73. 
    

    Peanuts and a nut mixture containing 60% peanuts will be mixed together
    to produce 12 pounds of a mixture containing 75% peanuts. How much
    of the pure peanuts should be used?
    A. 4.5 pounds B. 4.75 pounds C. 5 pounds D. 5.25 pounds

    
    


74. 
    

    Solve for P in the equation R kP
    s

    
    

= 2.

A. P=kRs

2

B. P=Rsk

2

C. P kR

s

= 2 D. P k

Rs

= 2

75. Completely factor xx^42 +− 34.
    A. ()xx−+^11 ()()x^2 +^4 B. ()xx−+^11 ()()xx−+^22 ()
    C. ()xx−+^1422 () D. ()xx−+^1422 ()


76. Simplify^42016
    51020

233

33 2

xyxy xy

xy xyxy

++

−+

.

A.^42016

51020

22

22

xxy

xy y

++

−+

B. 416

510

22

22

xx y

xy y

++

−+

C. 42016

51020

2

2

++

−+

xy

xy y

D. 42016

520

2

22

xxy

xy y

++

+

77. 160 is what percent of 25?
    A. 640% B. 156.25% C. 400% D. 135%