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SOWA.,llUN 1<CY
Math 95
Exam 2b
Student Name:
Fal l 2016
Score:
out of 55
1) So lve the fo ll owing inequality. Graph the solution on the number line and writ e th e solution in interva l notation:
3x- (Sx + 8) < 2x + 3(2x + 4)
< I • f• •••• ! m l ••l •m• f•••• !
- !0
- !>
3 x- '::> )( - e
(5 points)
l (b
t
;)
0
< 2 X +-(oX -+ \'2..
-\OX< :20
~ =i"o
x>-2(-=---2.-=- ,I_Q)
_ ))-=--------- - - - -
1) ANSWE R_ _
2) So lve the follow ing inequality. Graph the so lution on t he num ber line and write the solution in interval notati on:
2
- 6 :s; 2- -..., x < 4
(5 po ints)
.)
....
I
!
I
l
-l(j
-<.t, ' 2... 3:- 'X
_,_
-1
~
I
-5
<4
(
j
(}
Hi
-.3
\l.
-2-
. 1;}.~ "')-:;
2) ANSWE
R_~(.__--=3~)f--'-~..D~---------
3) Solve t he fo llowing ine qu alit y. Graph t he so lut ion on the nu mber line and w rit e t he answe r in interval notat io n:
4 x + 3 < - 5 o r 2x + 5 > 17
(5 points)
I
-S
.
4
e
4) Solve the f o llowmg: -;:;- j2x + 3j- 16 = - 4
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+u~
.,.._...
-
I
..
0
!
t . ! .9
s
i
I
10
!~
(5 points)
+14
~X+~=-'l
O}x=!o
or
x=?
4)
ANSWER_-'x-'---:.-~_O_f"'_ _)(_-:._-_~
-------
5) Solve the f o llowing inequa lity. Graph the solution o n the nu mbe r line and write the solution in interval notation:
j2x + lj ;::: 9
~ - ito
(5 points)
"f
I
•
-s
!.
!.
0
. •
I
x~-5
X~~
5 l ANswER. _
X
-~
+~
0
=-I_ x- 4.
2
_ _liLC-w=t!+.._ 1-9~Jr-u=--[__4~•~- CD
-=:.:. ~
.__:____ __
x - 2y = - 8. (3 points)
y
7) Sketch the line given by th e equation y
I ~
2)('~-10
2><=!.8
0
-2
I
~><+\ ~ -G
2)(~\ ~q
6) Complete t he t ab le of values fo r t he equat ion
I
(4 points)
8) Fin d th e x- and y-i nterce pts of -3x -
2y = 12 . Plot and la be l t he intercepts and sket ch t he line.
9) Find the slope-intercept eq uat ion ofthe line t hat passes thro ugh the point s ( 2,3) and ( 6, - 5).
-- -e-4
'1- 3
[ 11"' -:h< .. ":1 ]
(5 poi nts)
:-2-
~ - 2..(')( - 2..)
~ -3 ~ -2x .y'--\
(5 po ints)
'I -=. m "'" b
3 ":. -'2.('l)+ \:)
~'1~~
t;,~-:r
~
\1,_:.._-_
~:.x.t.:. ~'"1.
_______
9) ANSWER _ _ _
10) Find the slope-inte rcep t equatio n of the li ne t hat passes through the point ( -2,4) and is pa ralle l t o the line given
by t he equation 5x - 10y
s~-\O'f
=
25.
(5 poi nts)
= 2s
'/ ::. MX4 b
tf:
i (. 2.)~b
'/- 1-f :
m~..l..
ilx-\: z.)
'/ :. i. X 4--\ + ~
.l.
___,v~~=---~
,2_)(
.~. _+_5
_______
10) ANSWER._ _
11) Find the equation of the ho rizontal line that passes through th e point
(3, - 1). Sketch the line.
(4 points)
12) Write t he slope-intercept equation for the line given by the follow ing graph: (4 points)
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II
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:!
~~
- - -1
[ (;2 .j)
-"
l
-3
1\
\
....... .. t
i
.
···----· --·- -~··~-..---·······+-- -·-
-~-·· ·-· -----·-·-·-------·-------
i• _ ......- . · ···· ..... - ............... ..
····-.!.·
- ~-
i
--------\--
.;
!
- ---· ------- _,_- ---- •.. ----- --- --
-----·- - '1\ ---------------- --\
~\d~:--.-:i
=l---";----=
)( +"--.. ~
. ,~---
12) ANSWER_ _ _
-fo -t. .?>)
0-(-z.)
--
--- -3-
-b+3
~
-3