Algebra 1 Common Core Student Edition, Grade 8-9

(Marvins-Underground-K-12) #1

Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses C@1 practices


Pr act i ce Write a function rule that represents each sentence.


  1. y is 5 le s s t h a n th e p r o d u c t o f 4 a n d x.

  2. C is 8 m o r e t h a n h a l f o f n.
    10.7 less th a n th re e fifth s o f b is a.


1 1. 2 .5 m o r e t h a n t h e q u o t i e n t o f h and 3 is w.

Write a function rule that represents each situation.


  1. Wages A worker's earnings e a re a f u n c t i o n o f th e n u m b e r o f h o u r s n w o r k e d a t a
    rate o f $8.75 p e r hour.

  2. Pi zza Ih e price p o f a p iz z a is $ 6 .9 5 p lu s $ .9 5 f o r e a c h t o p p i n g t o n t h e p i z z a.

  3. Weight Loads Ih e load L, i n p o u n d s , o f a w h e e lb a r r o w is t h e s u m T h e w h e e lb a r r o w
    o f its o w n 4 2 - lb w e ig h t a n d th e w e ig h t o f t h e b r ic k s t h a t i t c a r r ie s , as h o ld s n 4-lb bricks
    s h o w n a t t h e r ig h t.

  4. Bak i n g Ih e alm ond extract a re m a in in g in a n 8 -o z b o ttle decreases
    b y | o z f o r e a c h b a t c h b o f w a ffle co o k ie s m a d e.

  5. Aviation A helicopter hovers 40 ft above the ground. Then the helicopter climbs
    a t a ra te o f 21 f t / s. W r it e a r u le t h a t r e p r e s e n ts th e h e lic o p t e r 's h e ig h t h above th e
    ground as a function of tim e t. W h a t is th e h e l i c o p t e r ’s h e ig h t a fte r 4 5 s?

  6. Diving A te a m o f d iv e r s a s s e m b le s a t a n e le v a tio n o f - 1 0 f t r e la tiv e t o th e s u rfa c e o f
    th e w a te r. T h e n th e t e a m d iv e s a t a r a te o f —5 0 f t / m i n. W r it e a r u le t h a t r e p re s e n ts
    th e te a m ’s d e p t h d as a f u n c t i o n o f t im e t. W h a t is th e te a m 's d e p t h a fte r 3 m in?

  7. Publishing A n e w b o o k is b e in g p la n n e d. I t w i l l h a v e 2 4 p a g e s o f in t r o d u c t i o n.
    T h e n i t w i l l h a v e c 1 2 -p a g e c h a p te r s a n d 4 8 m o r e p a g e s a t t h e e n d. W r it e a r u le t h a t
    r e p r e s e n ts th e t o t a l n u m b e r o f p a g e s p i n t h e b o o k as a f u n c t i o n o f t h e n u m b e r o f
    c h a p te r s. S u p p o s e th e b o o k h a s 2 5 c h a p te r s. H o w m a n y p a g e s w i l l i t h a v e?


See Problem 1.

See Problem 2.

1 9. W r it e a f u n c t i o n r u le f o r t h e a re a o f a t r ia n g le w i t h a b a s e 3 c m g r e a te r t h a n
5 t im e s it s h e ig h t. W h a t is th e a re a o f t h e t r ia n g le w h e n its h e ig h t is 6 c m?


  1. W r it e a f u n c t i o n r u le f o r t h e v o lu m e o f t h e c y lin d e r s h o w n a t t h e r i g h t w i t h a h e ig h t
    3 in. m o r e t h a n 4 t im e s t h e r a d iu s o f th e c y lin d e r 's b a s e. W h a t is th e v o lu m e o f th e
    cylinder when it has a radius of 2 in.?

  2. W r it e a f u n c t i o n r u le f o r t h e a re a o f a r e c ta n g le w i t h a le n g t h 2 f t le s s t h a n t h r e e
    tim e s its w id t h. W h a t is th e a re a o f t h e r e c ta n g le w h e n its w i d t h is 2 ft?


©Apply 0 22. Open-Ended W r it e a f u n c t i o n r u le t h a t m o d e ls a r e a l- w o r ld s it u a t io n. E v a lu a te
your function for an input value and explain w hat the output represents.


See Problem 3.

V = Trr^h

c


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