2nd 6 Weeks Review
1
Which set of ordered pairs contains only points that are on the graph of the functionÿv = 4 - 2x?
#Plÿ@ In X wluÿ5
.ÿ"{(-3,-ÿ, (0, 0), (6, 22)}
Y
.
B. {(-10, 16), (-6, 8), (18, -2)}
-5
,i"
-I
$
D. {(-7, -9), (-4, 0), (2, 18)}
J
Planet pizza charges
for a pizza and $.65 for
kÿbU.
oppingl How much would a pizza be
with pepperoni, Italian sausage, bacon and jalapenos?
Write an equation to represent the relationship between the number of toppings, t, and the total
cost of the pizza, c' ÿ=. 65 X 4-
number of
Cost of
toppings (t) Pizza (c)
2
fl.5
4
I0.ÿ0
3. What is the slope of theÿaph of the function y = -4x + 2?
4. Sketch a graph that reprLÿ'ents the one solution. 5.Sketch a graph that represents no solution.
Solution Point (-'ÿ, ÿ )
7.
/'°
I
!1
'4
pÿrÿ.llÿl
1N/
-L
-
/
<ÿs o.I9
.....
j/
.......
"/i
.....
" 7 ......
OnLL
It-
°!
..................................... [ ...................................................
-4
/
li rÿ
6ÿ
,
Sketch a graph that has an
Solve the system of equations using the graphing method
infinite number of solutions.
Do the lines intersect? If so at point?
¢
f
• y---ÿ×- 5
:ÿ
_l
!
t
!
!
!
!ÿ ÿ
!
! !
!
iiii
7-
8. Graph the systems and find the solution.
_1'•
\
'\
-ÿx ÷b
/.
I
w
x ,/
i i
/
11111 i
Z0
1"
1
Ix
....
Determine the domain and range of the relation {(-5, -2), (-3, 0), (1, 7), (4, 6)}.
ÿ/
l.-llt2
10.
Determine whether the relation is a function. Explain.
y
-5
.
naÿ
" .
3
7
-5
h -ÿ 41ÿ 6
Write a proportion comparing the ÿ for each of the
similar slope triangles Shown in the graph. Then find the numeric value.
rÿrtion iÿ
13. Graph the linear equation: y = 5x + 2
X
0
I
14.Which of the following sets of ordered pairs lie on a function that is a direct proportion
(y is directly proportional to x)?
ÿ/
ÿ'
X.-vÿlt,u.s ./
(ÿ{ÿ4), (6,12), (1,3),06)}
No rÿpÿl'in9
X
_Y-
X {(5,10), 012), ÿ)3), (4,12)}
-ÿ--ÿ-ÿ)ÿ-{(2:!), (6;3); (4,3)_. (B,2)}
ÿ-ÿ" 4----'ÿ!" --ÿ
.......
-'ÿ'--ÿ'
........................
Classify each equation as proportional or non-proportional.
15. y=3x0
ÿ!ÿ
16. y= ÿx(ÿ
ÿiÿ
17.
?
y= -5x
&lin9 15,,,1=,-l'r=.t.-H
19.
I, 4,
Find the slope of each line containing the following points.
,----,,
".ÿ:ÿ... -_ÿ_
a. (4,5)(ÿ3)
b. (-:ÿ--ÿ6,4)
20.
m = Io°ÿl "
m =
=
='ÿ
" ÿ--
The table shows the power absorbed by a solar pÿel. Assuming that the power varie__ÿs Iÿ
to the square meters, find the constant of variation of power with respect to the
size of the solar panel. (Hint: k=z )
X
X
Size (Square Meters)
y
Power (watts)
8
8160
12
12,240
16
16,320
k-ÿ
"
21.
la-
Daniel and Matthew charge $112 to mow 5 lawns and $358.40 to mow 16 lawns. What do
i
Daniel and Matthew charge to mow one lawn?
r
22.
The following graph represents a function. Create 3 other
ÿ--t7',-T- .rÿ'
representations of the graph using a relation, table, and
mapping.
Relation CÿIÿ'ÿ)
23.
- ,4-
hÿ_ÿ L,
Table
Mapping
' !
ÿÿ, ÿi. Iÿÿ=ÿ
What is the domain and range of the function above?
DOMAIN {-]},'ÿ,-'1, O, I, ÿ,.ÿ }
24.
,ÿÿ
Lÿ'
RANGE { 0, I , ÿ , ÿ
}
Which table represents a linear relationshÿ? Why? (Explain in a complete sentence)
TABLE 2
,,/
25.
The number of kilograms that an object weighs varies directly as the number of poXunds. If
an object weighs 45 kilograms or about 100 pounds, about how many kilograms is an
)
object that weighÿ? (Direct Variation y = kx and to find k, use' k = -y
X
-}=N-.q5
IÿO "
F",=
26.
-.,450o)
What is the solution to the system of equations shown in
the graph?
.i.iI .ii:...ÿ'5ÿ11 ÿ41"ÿ'1
27.
Pq
----
Stacy's new cell phone contract came in the mail. It states that she will be charged $0.10
b
text message plus an activation fee of $50. Write an equation that will allow Stacy to
calculate the total cost, c, after t number of text messages.
.IOX +51)
28. Whichsituation best represents the following equ-ation?
y = 3x + 10
Dior receives
reads ten
booksÿmonth
three
magazines
for school.
\0 ÿ -ÿ but decides
"ÿ Peter
tt-ÿ'ÿeÿ
pieces ofplus
candy
fromÿ
house he visits
on Halloween
fÿ,ÿto give his sister ten pieces. ÿX-ID
CÿCarlos has eaten ten hot dogs so far in the hot dog eating contest, and he plans to eat
three more hot clogs every minute.
1ÿ Bailey earns ten dollars for washing her dad's car and three dollars for doing the dishes.
29.
Write an equation based on the points below. (find the slope and y-intercept first)
{(0, 2), (2, 3), (4, 4), (6, 5)}
3_
9-o
30.
Identify the Domain and range of the function below.
,/