- Last year, C onner paid 15% of his earnings in federal
taxes. He p aid $3000. Jose also paid 15% of his earnings
in federal taxes, b u t he paid $3600. How m uch m ore
did Jose ea rn th a n Conner?
C D $4000 CCD $20,000
$6000 CD $24,000 - The table shows the price of a bus
ticket b ased on th e n u m b e r of
m iles traveled. W hich equ atio n
represents the relationship
betw een th e ticket price p a n d the
n u m b er of m iles traveled ml
CD p = 2 m
CD p = 0.5m
CD p = 2m + 10
CD P = 0.4m + 10 - D uring a trip, Josh recorded th e am o u n t of tim e it took
him to travel the distances show n in th e table below.
r
Miles Price
100 $50
150 $70
200 $90(^250) $110
V
N
Time (hours) (^2578)
Distance (miles) 60 150 210 240
V y
W hich equation represents th e relationship betw een
distance d an d tim e tl
CD d = 30f CCC d = 30 + t
CD £=30d CD t= d + 30
- A step p ed -o u t solution is show n below.
3(3jc - 1) - 3(5x - 3) = 4
9jc - 3 - 15x + 9 = 4
— 6 x +6 = 4
— 6 x + 6 — 6 = 4 — 6
— 6 jc = -2
St e p 1
St e p 2
St e p 3
St e p 4
St e p 5
St ep 6
Which property justifies Step 1?
C D Division Property of Equality
CD Subtraction Property of Equality
CD Com m utative Property
CD Distributive Property—6x _ ^2
-6 ~ -6
x=hCo n st r u ct ed Re sp o n se
- Som e tw o-lane rural roads in Texas have a speed limit
of 75 m i/h. Convert this sp ee d to k m /h. R ound to the
n ea rest w hole num ber. (1 mi == 1.6 km) - W hen Paige left m iddle school an d en tered high
school, h e r class size increased by 225%. There were
56 stu d en ts in h er m iddle school class. How m any
stu d en ts are in h er high school class? - The p erim e te r of a rectangle is given by th e equation
2 w + 33 = 54. W hat is w, th e w idth of th e rectangle? - Pablo can wash 6 cars in 40 m in. At this rate, how
m any cars can Pablo w ash in 4 h? - A s tu d en t perform s an experim ent to determ ine the
boiling p o in t of ethyl alcohol to be 75°C. The accepted
boiling p o in t of ethyl alcohol is 78°C. W hat is his
p ercen t error? R ound to the n ea rest tenth. - The cost for using a p h o n e card is 35 cents p e r call plus
25 cents p e r m inute. W rite an expression for the cost of
a call th a t is n m inutes long. A certain call costs $3.60.
How m an y m inutes long w as th e call? Show your work. - Travis sells black a n d w hite p h o to s of cities across the
country. Each p h o to ’s w idth is half its height. W rite an
eq u a tio n to rep resen t th e area A of a p h o to given its
height h. Use this equ atio n to find th e area of a photo
th a t is 4 in. tall. - Carroll h as a piece of fabric th at is 4 yd long to m ake
curtains. Each curtain requires a piece of fabric th at is
16 in. long. How m any curtains can Carroll make? - A rental car com pany charges $25.00 p er day plus $.30
for every m ile th e car is driven. Dale rents a car while
his own car is being repaired, an d h e only drives it to
an d from w ork each day. Dale drives 7 m i each way to
an d from work. Write an expression to rep resen t D ale’s
cost of renting a car for d days. Dale rents th e car for
4 days. How m u ch does Dale owe for th e rental?
160 Chapter 2 Co m m o n Co r e Cu m u l at i v e St an d ar d s Re v i e w