Algebra 1 Common Core Student Edition, Grade 8-9

Co n st r u ct ed Re sp o n se

16. You can m ow 400 ft2 o f grass if you w o rk fo r 5 m in,
    8 0 0 f t 2 i f y o u w o r k f o r 10 m in , 12 0 0 f t 2 o f g ra s s i f y o u
    w o r k f o r 15 m in , a n d so o n. H o w m a n y s q u a re fe e t c a n
    y o u m o w in 4 5 m in?

1 7. A n in s e c t flie s 20 f t i n 1 s. H o w fa s t d o e s th e in s e c t f l y

i n m ile s p e r h o u r? R o u n d t o th e n e a r e s t h u n d r e d t h

if necessary.

1 8. Is a b e lla is c o v e r in g a s q u a re ta b le t o p w i t h s q u a re

m o s a ic tile s. T h e ta b le t o p is 2 f t l o n g a n d 2 f t

wide. Each tile is \ in. lo n g a n d \ in. w id e. W h a t

is th e m i n i m u m n u m b e r o f t ile s n e e d e d to c o v e r

th e tabletop?

19. W hat is the so lu tio n o f \ = f? R o u n d y o u r answ er to
    th e n e a re s t t h o u s a n d t h i f n e c e s s a ry.


20. A h o c k e y p u c k tr a v e ls a t a c o n s t a n t s p e e d o f 2 0 m / s.
    W h a t is t h e s p e e d i n m i / h? R o u n d to th e n e a r e s t
    hundredth. (1 m = 3.28 ft)

21. T h e c o s t f o r a t a x i is $ 2 .5 0 p lu s $ 2 .0 0 p e r m ile. I f th e

t o t a l f o r a t a x i r id e w a s $ 3 2 .5 0 , h o w m a n y m ile s d i d t h e

customer travel?

22. W h a t is th e v a lu e o f d w h e n 11 (d + 1) = 4(d + 8)?


23. Y o u a re m a k in g a s c a le m o d e l o f a s p o r ts f ie ld. T h e
    a c tu a l f ie ld is a r e c ta n g le w i t h a le n g t h o f 3 1 5 f t a n d a
    w id t h o f 3 0 0 ft. Y o u r s c a le m o d e l is 15 in. w id e. W h a t is
    its le n g th in inches?


24. The tria n g le s b e lo w are sim ila r. W h a t is th e va lu e o f xl


25. Colton surveyed his classmates. The ratio of students
    w h o p r e f e r f o o t b a ll to s tu d e n ts w h o p r e f e r b a s e b a ll is
    3 : 7. T h e re a re 30 s tu d e n ts i n C o lt o n ’s cla ss. H o w m a n y
    s tu d e n ts p r e f e r f o o tb a ll?
    26. F o r s a fe ty , t h e w e ig h t o f e a c h r i d e r o f a c e r t a in r o lle r
    c o a s te r m u s t f a ll i n th e r a n g e g iv e n b y th e i n e q u a lit y
    10 < j - 30 £ 70 w h e re w is i n p o u n d s. S o lv e f o r
    w t o f i n d t h e s a fe w e ig h t ra n g e.
    27. Y o u c o u n t t h e n u m b e r o f f -Fruit TMeions^
    m e lo n s y o u u s e b a s e d o n t h e salad, f m
    num ber of bowls of fruit f 2 1
    salad m ade, as show n in the f 4 : r 2 s
    t a b le a t t h e r ig h t. W h a t is a n s----------------------------------<
    equation that describes the > ^_____^ J
    r e l a t i o n s h i p b e t w e e n t h e I 8 4
    num ber of bowls of fruit f 10 5
    salad/and the num ber of \ j
    melons used ml
    28. W h a t g ra p h represents th e so lu tio n s to th e in e q u a lity
    3 (f+ 2) > 2 /+ 4?
    29. Y o u h a v e a w ire le s s p h o n e p la n t h a t c o sts $25 p e r m o n th.
    Y o u m u s t a ls o p a y $.10 p e r m in u t e f o r e a c h m in u t e o v e r
    5 00 m in. Y o u r p h o n e b i l l w a s m o r e t h a n $ 30 la s t m o n th.
    W r it e a n in e q u a lit y to re p re s e n t th e n u m b e r o f m in u te s
    m y o u s p e n t o n th e p h o n e la s t m o n th. S u p p o s e y o u u se
    525 m i n n e x t m o n t h. H o w m u c h w i l l y o u r b i l l be?
    30. A n e le c t r ic c o m p a n y c h a rg e s a m o n t h l y fe e o f $ 3 0 .6 0
    p lu s $ .0 1 7 6 f o r e a c h k i lo w a t t - h o u r ( k W h ) o f e n e r g y
    u s e d. W r it e a n e q u a t io n t o r e p r e s e n t t h e c o s t o f th e
    f a m i l y ’s e le c t r ic b i l l e a c h m o n t h. S u p p o s e t h e f a m ily
    u s e d 13 2 7 k W h o f e n e rg y. H o w m u c h w a s t h e i r b ill?

3 1. The v o lu m e V o f a c o n e w i t h r a d iu s r a n d h e ig h t h is

r e p r e s e n te d b y th e f o r m u la V = ^vr2h. W h a t e q u a t io n

d o y o u g e t w h e n y o u s o lv e t h e f o r m u la f o r hi S h o w a ll

your work.

Ex t e n d e d Re sp o n se

32. A c o m p a n y h a s $ 1 5 0 0 i n its b u d g e t f o r p a p e r th is
    y e a r. T h e r e g u la r p r ic e o f p a p e r is $ 32 p e r b o x , w it h a
    10% d is c o u n t fo r b u lk orders. I f th e c o m p a n y spends
    a t le a s t $ 1 4 0 0 o n p a p e r, th e s h ip p in g is fre e. W r it e a
    com pound inequality to represent the num ber of boxes
    th e c o m p a n y c a n b u y w i t h t h e d is c o u n t a n d r e c e iv e fre e
    shipping. W hat are the possible num bers o f boxes the
    c o m p a n y c a n b u y w i t h th e d is c o u n t a n d fre e s h ip p in g?

r

Fruit

salad, f

Melons,

m

21

4 2

6 3

84

10 5

V J

230 Chapter 3 Common Core Cumulative Standards Review