Co n st r u ct ed Re sp o n se 20. Solve th e eq u a tio n below. Show all your work.
3x - 16 = 20- Sasha is fram ing a 5 in. by 7 in.
picture with a fram e th at is 3 in.
wide, as show n at th e right. W hat
is th e fram e’s area in square
inches? - You are taking a plane trip th at
begins in Seattle a n d ends in
Boston, with a layover in Dallas.
The flight from Seattle to Dallas is 2 h 55 m in. The
layover in Dallas is 1 h 25 m in. The flight from Dallas
to Boston is 3 h 40 m in. In hours, how long is th e entire
trip? - The speed of so und at sea level is approxim ately
340.3 m /s. W hat is the speed of so u n d in m iles p er
hour? R ound to the n ea rest hu n d red th. - The sum of two consecutive integers is - 1 5. W hat is
the product of the two integers? - Max writes a n u m b e r p attern in w hich each n u m b e r in
the p attern is 1 less th a n twice th e previous num ber. If
the first n u m b e r is 2, w hat is th e fifth num ber? - The rectangles show n below are similar.
Rectangle A
Rectangle B20 ftThe area of rectangle A is 180 ft2. The area of rectangle
B is 45 ft2. W hat is rectangle B's p erim e te r in feet?- One lap of a sw im m ing pool is 50 m from one en d of
the pool to th e other. Tam ara swims 25 laps in a swim
m eet. How m any kilom eters does she swim? - An Internet com pany charges $8.95 p er m o n th for
the first 3 m onths th at it hosts your Web site. Then the
com pany charges $ 11.95 p e r m o n th for Web hosting.
How m uch m oney, in dollars, will the com pany charge
for 8 m onths of Web hosting?
21. W hat values of x m a k e b o t h i n e q u a l i t i e s t r u e?
3x < 4x + 6
2x + 1 < 15- Lindsey is using a m ap to find th e distance betw een
h e r h o u se an d Juanita’s house. On th e m ap, the
distance is 2.5 in. If th e m ap scale is | i n. : 1.5 mi, how
far from Juanita does Lindsey live?
o - Pedro ra n 2 m ore th a n ^ th e n u m b e r of m iles th at
Cierra ran. W rite an eq u a tio n th a t represents the
relationship b etw een th e n u m b e r of m iles p th a t Pedro
ra n a n d th e n u m b e r of m iles c th at Cierra ran. - The relationship betw een degrees F ahrenheit F a n d
degrees Celsius C can be given by C = | ( F - 32). Solve
the equation for F. - Draw a n u m b e r line th a t displays the
solution of th e c o m p o u n d inequality
—5 < —2 x + 7 < 15.
Ex t e n d e d Re sp o n se
- A particu lar w ashing m ach in e uses an average of
41 gallons of w a te r for every lo a d of lau n d ry.
a. Identify th e in d e p e n d e n t an d d e p e n d e n t variables
in this situation.
b. W rite a function rule to re p resen t th e situation.
c. Suppose you u sed 533 gallons of w ater for laundry
in o n e m onth. How m any loads of laundry did
you wash? - Look at th e sequence below.
-3.2, -2.4, -1.6, -0 .8 ,...
a. Tell w h e th e r th e sequence is a n arithm etic
sequence.
b. List th e next th ree term s in th e sequence.
c. Write a recursive form ula for th e sequence.
d. W rite an explicit form ula for th e sequence.
290 Ch ap t er 4 Co m m o n Co r e Cu m u l at i ve St an d ar d s Revi ew