Co n st r u ct ed Re sp o n se
- W hat is th e area, in square units, of th e triangle below?
- Charles p u rc h ased 50 shares of a stock at $23 p er
share. He p aid a $15 com m ission to his broker for the
purchase. How m u ch m oney, in dollars, did h e spend
for the p urchase an d com m ission com bined? - W hat is the value of the expression ( f ^ ) 2?
- A designer tested 50 jackets in a clothing w arehouse
a n d found th a t 4% of th e jackets w ere labeled w ith the
w rong size. How m any jackets did th e designer find
th at were labeled th e w rong size? - If b = 2a - 16 and b = a + 2, w hat is a + bl
- Alejandro bought 6 notebooks a n d 2 b inders for
$23.52. Cassie bought 3 notebooks an d 4 b inders for
$25.53. W hat was th e cost, in dollars, of 1 notebook? - Ashley surveyed 200 students in h e r school to find
out w hether they liked m u stard or m ayo on a turkey
sandwich. H er results are show n in th e diagram below.
W hat fraction of th e students surveyed liked m ustard
but n o t mayo? Write your answ er in lowest term s.- A parallelogram h as vertices ( - 3 , 2), (0, 7), (7,7), an d
(x, 2). W hat is th e value of x? - The sum of six consecutive integers is 165. W hat are
the six integers? Show your work. - On April 1, 2000, th e day of th e 2000 national
census, th e p o p u latio n of th e U nited States was
281,421,906 people. This was a 13.2% increase from
th e 1990 census. W hat was th e 1990 population
of th e U nited States? - W hat is th e eq u a tio n of th e g raph in stan d ard form?
Ex t e n d e d R e sp o n se
- A triangle is enclosed by th e following lines:
x — y = —1
y = 2
—0. 4 x — y = -5.2
a. W hat are th e coordinates of th e vertices of
th e triangle? Use algebraic m eth o d s to justify
your answers.
b. Draw th e triangle using your answ ers in p a rt (a).
W hat is th e area, in sq u are units, of the triangle? - On Kids’ Night, th ere m u st be at least one child with
every adult. The re sta u ran t h as a m axim um seating
capacity of 75 people.
a. Write a system of inequalities to re p resen t the
constraints in this situation.
b. G raph th e solution. Is it possible for 50 children to
escort 10 adults to th e restaurant?
482 Ch ap t er 7 Co m m o n Co r e Cu m u l a t i v e St a n d a r d s Re v i e w