- You ship an 8 -lb care package to yo u r frie n d at college.
I t w i l l c o s t y o u $.8 5 p e r p o u n d , p lu s a f l a t fe e o f $ 1 2 , to
ship the package. W hich equation can you use to find
th e to ta l cost C?
CD C=(8 • 12 )+ 0.85 C D C = 8 • (0.85 + 12 )
CD C = (8 + 0 .8 5 ) • 12 CD C = (8 • 0.85) + 12 - The graph o f y = x - 3 is sh o w n b e lo w. W h ic h
o r d e r e d p a i r is N O T a s o lu t io n o f th e e q u a t io n
y = x - 3?
4 ]y
'X
-i 0 ' LCAD ( - 4 , - 7 )
CD (12,9)CD (0, -3)
CD (-8,11)
W h ic h p r o p e r t y d o e s t h e e q u a t io n
4 + x + 7 = 4 + 7 + x illu s tra te?
CD I d e n t i t y P r o p e r t y o f A d d it i o n
CD Distributive Property
CD Commutative Property of Addition
CD A s s o c ia tiv e P r o p e r t y o f A d d it i o n
B i l l h a s a $ 1 0 c o u p o n f o r a p a r t y s to re. H e n e e d s t o b u y
s o m e b a llo o n s f o r a b i r t h d a y p a r ty. I f e a c h b a llo o n
c o s ts $2 a n d B i l l u s e s h is c o u p o n , w h a t is a n e q u a t io n
t h a t g iv e s th e t o t a l p r ic e y o f h is p u rc h a s e?
CA) y = 2x
CD y = 2 x — io
CD y = 2x + 10
CD y = 10 - 2 x
Y o u o w n 1 0 0 s h a r e s o f S t o c k A a n d 3 0 s h a r e s o f
S to c k B. O n M o n d a y , S to c k A d e c re a s e d b y $ .4 0 p e r
s h a re a n d S to c k B in c r e a s e d b y $ .2 5 p e r s h a re. W h ic h
e q u a t io n c a n b e u s e d t o f i n d t h e t o t a l c h a n g e i n v a lu e
T h e t a b le s h o w s th e r e la t io n s h ip b e t w e e n t h e n u m b e r
of laps x y o u s w i m i n a p o o l a n d t h e d i s t a n c e y , i n
meters, that you swim. W hich equation describes the
pattern in the table?
c N
Laps, x 2 4 5 8
Distance (m), y 100 200 250 400
V
CA? y = 50x C D y = x + 50
CDy=ioox cD y = *+ioo- A s to re is h a v in g a s a le o n case s o f ju ic e. T h e f ir s t t w o
cases o f ju ic e cost $8 e a c h. A n y a d d it io n a l case s o f
ju ic e cost $6 each. W h ic h expression can be used to
fin d the cost o f b u ying 9 cases o f juice?
CD (2 • 8 ) + (9 • 6 ) C D ( 2 • 8 ) + (7 • 6)
CD (2 • 6 ) + (7 • 8 ) CD 9 • 14
1 1. T h e g r a p h b e lo w s h o w s th e d e p t h o f w a t e r i n a le a k in g
ta n k.
CL<U
a(^1) I H,y
1 nI u
0 >
aU
<> X
0 i (
Time (h)
I f th e t a n k c o n t in u e s t o le a k a t th e s a m e ra te , w h a t w i l l
be the depth o f w ater after 10 hours?
CD 5ft CD 7ft
CD 6 ft CD 10 ft
1 2. C h r is s p e n d s $ 3 p e r s q u a r e f o o t o n c a r p e t f o r a s q u a re
room. I f he spends ab o u t $430 on carpet, w h a t is the
approxim ate length, in feet, of a side of the room?
CD 12 ft CD 72 ft
CD 36 ft CD 215 ft
1 3. W h a t is a n a lg e b r a ic e x p r e s s io n f o r 4 more than the
of your shares? product of 3 and a number x?
CD 1"= (100 • -0.40) + (30 • 0.25) CA? (4 + 3)x CD 4 — 3x
CD V= (100 • - 0. 4 0 ) + (3 0 • - 0. 2 5 ) CD 4 + 3x CD 3x — 4
CD (100 • 0 .4 0 ) + (3 0 • 0 .2 5 )
CD V= (100 • 0 .4 0 ) + (3 0 • - 0. 2 5 )
c
PowerAlgebra.com [ Ch a p t e r 1 Co m m o n Co r e Cu m u l at i v e St an d ar d s Revi ew^75