Name:
ANSWER "(.12'/
Class: _ _ _ _ _ _ Date: _ __ ID: A
Algebra 2 Honors: Unit 2 Inequalities Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
b.
1. The ordered pair (-2, 4) is a solution to which system of linear inequalities?
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47-2+}/
4 Z ~l(-l)
Lf "'2[-2)tl
'i"Z-yv
L.J '"7 -/.:2.) rG.
~')-'-I+'
v
L.f £-[-1) r3
~( 2+3 v
L(? -1(-2)tl
t
y£ ~~I
j,z Y
L-f "/' ~
¥:
@ y>2x+l
y>x+2
y ~-2x+ 1
y<-x+3
y::;2x+5
y::; -3x
~
X
y~-2x
y>-x+6
2. Which system of linear inequalities is shown in the graph?
v '-'i,.+2
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yl
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I
I
L/
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i
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I
.....
~
!
.... i
i
I
-,., .........
I
,,<
I
i
"l
/'
I//'
i
/1
i
....
'
,­
x
~
I
I
i
I
a. x~3
b.
y>x+2
1
4
y>--x
d.
x::; 3
y<x+2
1
4
y>--x
G
c.
x::; 3
y<x+2
1
y<~x
4
x::; 3
y<x+2
1
y>--x
4
3. The recommended daily dosage of a vitamin is between 25 mg and 35 mg, inclusive. Which of these is an
absolute value inequality for this dosage range?
rDd.
a. Id+51 :;;;25
b. Id-251::; 10
-> ~
t ;0
d-7J)~ s
t ~o
25~J:::3S-
T-'}c
1
Id - 301 ::; 5
Id - 51 ::; 30
Name: ~
ID:A
4. Which ordered pair is a solution of 5x - 2y > 6?
I'
(0,-2)
5(0)-2[-2» c.
Short Answer
Lt > C.
~
(2,-3)
+,
X
(-1, -l)
~l-f ).,v..L-!):>~
SL1.) -2(-3» "
ICl
>~ v
-St-2. ::>(,
<l(
(2,2)
5"LZ) .. 2.LZ) '7 (
/0 - 4 > b
1. Your furniture store sells two types of dining room tables. The first, type A, costs $2] 0 and you make a $21
profit on each one. The second, type B. costs $180 and you make a $20 profit on each one. You can order no
more than 130 tables this month, and you need to make at least $2640 profit on them. If you must order at
least one of each type oftable, how many of each type oftable should you order if you want to minimize your
cost?
F~ iY'-itxa.pt~
A+ B~130
3. What solution is graphed on the number line?
I(
I I • I I I I 0 I I I·
-5-4-3-2-1 0 1 2 3 4 5
1-
ck'5~
Ct~
1"­
~
Cl'~
2
I,
(.1,30,0)
(fJ,13o j
Name: _ _ _ _ _ _ __ In: A
4. What is the equation ofthe inequality shown in the graph?
I
i
i
.""
I'
I
1
I
I
i
y
I
I
,!....
1
L
I I 1, 1
I I r;", I....
I I I
x
i
~
I
,
i
I
T''i..
!
1
i
I~
1
1
5. What is tbe solution to tbe absolute value equation
~ Y, -1= - 5
:z x--ttl1::;.- '::>
i.
t '7
I
~.)(:':
12,
I~ x -71 = 5?
1-./ .. ..,
2.';. -L.
'
. Sf{rt-to
..
.l'f,:;"2'-1
X -.:
if 6. What is the solution ofthe absolute value inequality j2x + 5] > 257 s t' \' 1 t<l
96jo\'\dibt\ 2'Ft!j /_2:j
Ix
() ~
-t Wi! \h-~Vld'itt
S
2x,t-5.:::-2s
.2x<~~
> 20
7. What is the value of fix)
.
"tt.Jc:. ~ vtA.+iOv'-'
x.( -/5
=2Jx + 4]
I when x
= --6?
+l~)~ 2 I-~-l-Lf \ -I -: 2 \-21-1 '!.
7. _--==~_ __
2· 2 -1
= ~-l
-=- ~
7
Name: _ _ _ _ _ _ _ __
ID: A
8. What is the equation for this graph?
(0)0 )
"/:: 0.
Ix-h' +k
I
~ ~ - ~I X
8.
y-::-3 lxl
Given the system of constraints, name aD vertices. Then find the maximum value of the given
objective.
x~O
y~O
9.
1
Y S -x + 1 5
4~y+.f
-1
t\-x?'/
-jy.
y f. -x+&.t Objective function: C == 5x 4y *
f\~ r>~I\-\-ak ':A.tu·S{t1;~'-'"\
4)
'i -
'i
=\
(1)''1+ X .: 11
i ~i: .~ I
-
+
~
t
X~ ~
51 • ...:J!--J/;'" -3
_
<P'
What is the graph of the absolute
-
~
• ~.
valu~ eqlation?
10. Which of the following describes the translation of y
...,-..,~
I:.
15'_X.~ ---.
(..
X.. . -12
=1 xl
to y
S-
z
~f, 20
9.
~
~7
Ix + 71 - 2?
10.
1 it. l{.+-t dolN'l"\ L
I
f
4
ID: A
Name: ------------------What is the graph of the absolute value function?
11. Y
= -21xl
+3
j-;=, C\ lY\h l-t \<
y
I
I
j
!
CD) 3)
l\
f \
L:
I
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V
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,
!
\
(
x
~
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i
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I~
t
!
P
1
z -\
!I
i
12. An electronics store makes a profit of $33 for every portable DVD player sold and $88 for every DVD
recorder sold. The manager's target is to make at least $264 a day on sales of the portable DVD players and
DVD recorders. Write and graph an inequality that represents the number of both kinds ofDVD players that
can be sold to reach or beat the sales target. Let p represent the number of portable DVD players and r
represent the number of DVD recorders.
f:- 1)v' V p{~tr lX~.x is)
(-::: fAlP ft(,0vrkr {y-t1.)()'5
y
15 ;-"-,-,---,-,.......,-;;r..,....,---,-.,....,-,----,-, 14 +-it-+-+-+-+-i-+t--lt-+-+-t-rl--+-rl-l 33r rC6D (>. 2~ 1c-- fllr\d~ J" turCtr)t 5
11
10
9
8
7
6
p'?. ()
v>o
I
5
4
3
2+-+~
I
~ ~y
r ~ 8'
(~/())
8'Or:;4~
(? '3 (°/3)
+-+-J.--+---+'~
1 2 3 4 5 6 7 8 9 10 II 12.13 14 15
1-;p
x
2?> ptt'b f ~>?(
II
.I-to 1
12. Equation: 'J
5
Name: _ _ _ _ _ _ __
ID: A
What is the graph of each absolute value inequality?
13.
;5o[~h-,
1x+51~y-2
y
y
~
IXD \ 1- 2
'/~ IxtS)+Z
O-V\ttf' l: 5, l)
[
'I
X
I
x
-[
~
-10 J
-5 2
_l)
~
-3> 4t
Solve the system of inequalities by graphing.
y
14.
~ -13X
1
{ ys-x+l
2
6
\- ~ t5 )-t 2 - )~ 2.=3
1- 3-151-12:: 2of 2:;- ~
Name: _ _ _ _ _ _ _ __
ID: A
Solve the system of inequalities by graphing.
IS.
t ~ ~3x
+ 21 + S
ceNttv.-\'
3XtL~O
3'i~
-2
'K'-:~
3
lje w\. ~~;vJ
x
-\ V;
x
-2
~3
~
t>
o -,
16. An exam consists of two parts, Section X and Section Y. There can be a maximum of 80 questions. There
must be at least 10 more questions in Section Y than in Section X. Write a system of inequalities to model the
number of questions in each ofthe two sections. Then solve the system by graphing.
X-+ '/ -!:.. S'O
y
90
80
70
, {(+to
1-
(W\kX 0+
toa IS)
X 4 \'U~ Y
St01i'a'\
:;; 1J:.,X+l D
2.,(\
10
40
, ~ ?X+(O
30
20 X4 y4.t;O
I x>o
LBo
7
----1
y
SurtJ~Y\.X
lD . /
i!
j