Answer Key to Study Guide (Test 3)

STUDY-GUIDE
Unit 3 Test
1.
'f..,'/
~'"
Which equation can be used to show the slope of a line with points {4, 6} and (2,5)?
a) 2-4
b)
5-6
2.
4-2
•
5-6
2-4
6-5
uY-2
5-fa
or--
2-l-f
y..,'{
"f.,"J
Which equation can be used to show the slope of a line with points (4, -9) and {7, 8)?
Kc c
a)
8-4
•
7- (-9)
c) 8-9
8+9
7-4
7-4
3. Which describes the equation: -4x + 9y
a) Proportional
11 ~on-proportional
•lmear
=8
- L1 - Jl or
Y-l
J' t ¥j
/-Y
Circle all that apply
_
on -eQOOttlon Is uneor 1f If {f1n
bf W( JttfYl 1n 9? mx + b form.
G x o.nd y 01re 1n rep oro. fe 1trrru .
4. Each of the tables below shows a relation. Whic relation is a [email protected]
a)
Input (x)
Output (y)
1
8
2
12
1
16
17
14
20
15
25
16
Xana (j
hOI Vf ex noflfnI!
Of o~P
b)
Input (x)
Output (y)
•
Input (x)
Output (y)
® e\Jery mput has Qn ~~ OQf outpu+ €J
5. What represents a non-linear function?
a)
(
noru st rongnt \In e but ~sief
thD Ve"tl LO I } i7 f JeJ {\
J
{
1
7'
f
)
y
y
1-::::-
\i f)eor
X
__
,_,
--4
-J
-~
-t
-I
-2
-2
-3
-3
..
...
•
c)
y
!./no-t
J
(J.J
{\J.V\L~to/\
X
-t
-z
,-3
..
..
-:lc
6. Which statement describes the graph shown.
a) The speed increases every 50 miles per hour.
b) The speed increases every 2.5 miles per hour.
fl The speed increases every .5 miles per hour.
100 y ',
90
10
-
w=
80
70
"'10
Distance
so
40
30
(miles)
20
10
X
0
10
20
lO
40
50
60
70
Time (Hours)
80
90 100
7. Mrs. Mazzo was grading math tests and gave all of the students who attended extra
help a 5 point bonus. Each correct answer was worth 3 points.
4=m~~b
Part A: Write an equation in sfope-intercept form.
IJ ~ 1.:»K + 5
;)
:4fbf .,Utf t.IJ((tli
values represent? )Oirrk ( totaI 5coreJ
Part B: What do the input (x) values represent?
Part C: What do the output (y)
Part D:
If Jessica attended extra help and got 25 questions correct. What
would
h~t:a~oti;) t
J
:
5 80
~5
l5
PartE: Answer Yes or No to each of the following questions:
Is the relationship linear?
~
ec;
Is the relationship between the stu~e~rades a function ofthe number of
questions they answer correctly?
Is the relationship proportional?
. ~\
{CYv-J..,
11- 8.
no
Look at the table below and write an equation. ( y
~ _ ~ =- L-t""41l
~f... -
'-\
y::4~rb
\); 4 ( Y) t- b
1-:l, ; 'b +- b
"'\4
X
I 4
~
•
8
12
=mx +b)
y
13
~
29 ..
45
tlto
t I~
j .'f)( •3
b ; -2>
9. Find the slope that passes through the points (7, 4} and (10, 12}.
'1-1.1
,,.q
rtt: tlf;
10.Find the slope that passes through the points (6, 9} and (3, 11}.
3·C:. •
11.Create a graph using the points below.
-4
-3
X
y
-1
2
-1.
1
i\
1
Is the table of values a function?Jl.CS__
( pC\Hes
5
3
y, ne i er-t
vert,-c~l
If so, is the function linear or non- linear? Explain.
llnlC\r/ H 15 ()!
Stra19h+
lint
2
12. Graph the equation y = - / 3 x + 6 on the grid below.
'
.
.
:
:
Sl~~<
"::! ~-11\-l
-2
3
'
;
"
'
~
'~·'
"'
y
~
~
.
•
l b~ll'l')
dOWrll
njht ~
8
5
13.
Is the function of Car A
linear?~or No
Is the function of Car B [email protected] or No
Is the function of Car A proportional? Yes
or~ ~- [email protected]
Is the function of car B proportional?eor No
Car A:
X
y
or 100
goer t h rOlXJ h oriJ In
Car 8:
...;...-
2
200
~
t
100
I ()CJ
4
6
300 400
-
1 tOU ~ 1oCJ
14. Determine if each equation is a linear function. Explain why or why not.
v=sx'
linear foncti(Hl i 1 o.nd \1 me in JfD(Jtraf<
terrnl <And nave e:~poncntr ar Onf'
non 11 nta~ runctJOfl J rx dOlf nut novr an
v='tx
nonl1neotr functrCflJ
v=sx
ex ponen1 of one
2x + y =10
l=x+4
Of nego.tJVf
Oflf
I)(
hCAf Oin LXpO!lfflff
{ {:
3·f
and
i, x-')
l1ncar functtu(}J xand \f are JfJ ffptllrolf
ttrmf and navr e'!fOfJffJ/J of OflP
nonlinear functton ~ hM em exjJV!lmJ
or
tvvo.
1s.
An elevator was on the tenth floor of an office building. It
came down and stopped at the fourth floor. It continued down,
s~ng at each of the remaining floors until it reached the first
floor. WhiCh graph biSf sfiows the SiOiY? Circle the letter of
your answer.
B
:E
a
j
I
nme
lime
16 .
Yolanda took 16 weeks to save money
for a~- For 1he first 8 weeks. she
saved $50 each week. For the next
4 weeks Yolanda did not save any
money. Then Yolanda saved $50 a
week for 4 weeks. When Yolanda took
the trip. She spent $500 of her savings.
Complete the graph so that it shows
Vofanda•s saYings compared to time.
1s.
The localiJn of a skier on a sld
--
800
slope--------.----The SKi CC WOJ C\{ttJf top Of tnP
Slope and s~Jcd dOV!n hill·' ihtn
wciUed Od fhe bottom aftnP
Slape for tne ChOlJ(Uft, 01nd
+hen ftXJK the Ch{AJ//Jf1 boer
up thf Slope e·e 0\+ the top
u
on
or +-he \lor +nf sKfer wen+
dow~
agwn.
e1e.