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 ew
ASSESSMENTTIP S F OR S U C CES S
Some questions on tests ask
y o u t o w r it e a n e x te n d e d
response. In th is te xtb o o k, an
extended response question
is u s u a lly w o r th a m a x im u m
of 4 points. Sometimes these
questions have m ultiple parts.
T o g e t f u l l c r e d it, y o u n e e d to
answer each part and show
a ll y o u r w o r k o r j u s t i f y y o u r
reasoning.TIP l
A 1-point response
might show an incorrect
equation w ithout giving
th e number o f children
who m ust a tte n d to
cover costs.The Theatre C lub needs to raise $440 to cover
th e c o s t o f its c h i ld r e n ’s p la y. T h e t ic k e t p r ic e s
a re $ 1 4 f o r a n a d u lt a n d $ 2 f o r a c h ild. T h e c lu b
e x p e c ts t h a t t h r e e t im e s as m a n y c h ild r e n as
a d u lts w i l l a t t e n d t h e p la y. W r it e a n d s o lv e a n
e q u a t io n t o f i n d h o w m a n y a d u lt a n d c h ild
tic k e ts th e c lu b n e e d s to s e ll to c o v e r t h e c o s t.Solution
x = n u m b e r o f a d u lts
3x = num ber of children
14(x) + 2(3x) = 440
14x + 6x = 440
20x = 440
x= 22
3x = 66
So, 2 2 a d u lts a n d 66 c h ild r e n m u s t a tte n d.TIP Z
A 3-point response
might approach the
problem correctly, but
have an e rro r.Think I t Through
A 4 - p o i n t r e s p o n s e d e fin e s
v a r ia b le s , s h o w s t h e w o r k ,
a n d g iv e s a w r it t e n a n s w e r to
th e p r o b le m. So r e la te w h a t
is g iv e n t o w h a t h a s b e e n
asked. Id e n tify the variables
a n d m a k e a m o d e l t h a t y o u
c a n u s e t o w r it e a n e q u a tio n.
T h e n s h o w y o u r w o r k as y o u
use th is e q u a tio n to fin d the
solution.p V o c a b u l a r y Bu i l d er
As you solve test items, you must understand
the meanings of mathematical terms. Choose the
correct term to complete each sentence.A. T w o in e q u a lit ie s t h a t a re j o i n e d b y th e w o r d and
o r t h e w o r d or f o r m a [compound, connected)
in e q u a lity.
B. [Equivalent, Similar) in e q u a litie s are in e q u a litie s
w i t h t h e s a m e s o lu tio n s.
C. A n y n u m b e r t h a t m a k e s a n in e q u a l i t y t r u e is a
[union, solution) o f th e in e q u a lity.
D. A [proportion, conversion factor) is an e q u a tio n
th a t states th a t tw o ratios are equal.
E. A ( n ) [open, closed) d o t o n t h e g r a p h o f a n
in e q u a lit y s h o w s t h a t t h e p o i n t is a s o lu t io n o f
th e in e q u a lity.Se l e ct e d Re sp o n se
Read each question. Then write the letter of the correct
answer on your paper.- Y o u are m a k in g bracelets
to s e ll a t a f a ir. T h e ta b le
shows the to ta l cost c o f
making b b ra c e le ts. W h ic h
equation represents the
re la tio n sh ip betw een the
num ber of bracelets you
make and the total cost?
CA) c = 9b CC) 9 c = b
CD c = 0.9b C D ) 0.9c = b - W hat are the solutions o f 2u + 5.2 < 9.4 + ul
CD U > 4.2 CD u < 14.6
CD u< 48.9 CD U< 4.2
f
Bracelets, b Cost, c
10 $9.00
15 $13.50
20 $18.00
25 $22.50
V y228 C h a p te r 3 C o m m o n C ore C u m u la tiv e S tandard s R eview