K~~
Name
ALGEBRA 1 2013 - 2014 REVIEW FOR THE FINALPART
2
1. Find the solution to this system of equations by graphing:
y = 3x - 2
y=x-4
-1'1
2. Cameron is out for a walk. He walks at a rate of615miles per hour. Define a
function flo determine the distance covered in terms of the time t in hours since
Cameron began walking.
3. If the function that defines how far Emilia s'
t = 12t what does
Z W\ i I" a. w'- II
Af-kr
I ;;(C3:.
4. Simplify the expression: -4(3x -5) + 2~
-8
.- !,l" t ~O f" -:l
L - (,: +- 1).\
~l(
5 - 7: Solve the equations and inequalities
5. 3w + 8 =-5
-lS
-s
~~ ~-':
-~;H5)-3
V - '--I:; {-5)(-'(;)
V-J...j-,'-/O
rl-J
-L:;Y ~
+'1
i-f$J
G' \
(w ~- ~J
3) represent?
hCLuf.
Go,
LAJ\
5wCuvl
/-k
,.
7.8+4x~24
-"
LJ'I(
-'l
=
ICo
~
'f
'i
G~ 4]
Graph
8.
7
the interval from the given inequality.
> x or X>
10
III~
J 3
9 -10
10.
f (x)
7x - 2
=
I-.j
..Jf- (
Solve for x
9, Given
-3x +30
4
= 18
solve for x when f(x)
~[x-;.-(~
=
.".../e1q<tl
.J
<0 .,
'0
3l< of ,0
-
)
"'""'t-
7,,+
~
t )..0
-~
ly~/O\(
If
6~)'1
-;,1(.:
-::;;-
.LX-=~
4;).
""::'"-;
.. - -
~.
~
3"
I t:(-;.
3
3
11. Write the function notation of a line that has a has a rate of change of -5 and
passes through the point (-2, 4)?
~: -5(x --,f)-J
'-i
~
~-_
-':)(l(-r~) fL.1
J--
-5y - ~ +
[lj-,
-5)(
i
-<.:,1
12. Find the equation of the line that contains the two points (9, 1) and (-2, 3)
remember
y = m(x -
'a
- '3•••-t_~-:' _7~
1){-;2:./oJc-:t.o
t- ;lob
-=Jt 15)
I'
~
-l\t't?o~
5(2x - 4)
10
I
Xl)
+ Yl
y -y
and m = -'-'
X2-Xl
3 -f
-.;l -
'j -, -.};.\ I
-,i
'I. + 1%
-1-J.!.
[I
"I
-~
- -II
/4
I
I
1'$
,<./
=)
13. Is (3, -4) a solution to eh following system of equations?
2x + y = -6
';U?").j- (-'-/):. - 0
y = -3x - 10
f.p - '-i -_ - ~
;). -j: - Go
NO
14. What is the apparent solution to the system graphed below?
-6
X
/
15-17 Using any method you prefer, find the solution
,4
/.j \( t ~ -:;.
equations below.
15. 4x+2y=14
~.J3x -
T,.,
y =8 )
'" •
_ 1<..
_
';;l -
IU'J( ~
~
16. Y = -4x
+5
3x-~(-<.\U5)
5x + <6)( - 10 =-
; l~
I~
1\)(-10::: I~
+LO
flO
-
llx=~~
-II
II
.
61
(&.)
-1-5"
j"/ ~g +5"
0---9
'-I ( ?).t -:2'1 -=-
of
/4
.1
I;;{ + ~y .<-/..,
-I~
~
)(--.)
J-;.-'1
3x - 2y = 12
30
to the systems
-/~
JJ~~
'j~1
-
17.
y=x-6
Y = -2x
+3
18. Is (-3, -6) a solution to 3x + 2y < 8?
(-3)
?
t
- "'l
J. (-G:» L ~
- l;;l <:. 8'
19. What is the apparent equation of the following line?
8
Ov-t{\
~f
-8
-6
-4
~
4
2
-2
-4
-6
2Q. Alize is stocking up on her school supplies and went to Staples. She bought 5
a."'t{. notebooks and 18 packs of pencils. Her total cost was $43.60. Michael was also
if
~
stocking up and purchased 10 notebooks and 15 packs of pencils. His total cost was
-S("IS
~5.
Write a set of equations to model this problem. Let x = costs of notebooks and
.
y = the cost of pencils
5X
-
5)(
lOx
+--l~(
V.j)')
~- >< t- g /r; , 10 -d-I,. ,I:)
5"
-I-
t-
I~ u J
l ')
-
j::.
:;l.\3,(PQ
L.(3. I..t0
~ -
-~"' .• o
;. 1]...;)-0
19 - 24 S~temsoT
equations
x;;-
3. S'd
LJ"
Joo
----0. -~
CoO
_
~
5v -rl8"",
') - \ ()! - '3 Co
~'>
4--10/)( tIS(lo-kl.?(j()t5 ::. ?,SO
'1
"3 '> , ;(.S
'1 -
.
. '6
and inequalities
Y = 4x
+ 13
~
-'i?1.;;LO
;. .•..5&:7S"
- 30 '-is'
:;
'j ;.
-0<.
!II
puYlLdS ;
_
~ -
(19 - 20) Use any method you prefer to solve the systems of equations below:
';lIt9'.y=-3x+6
LH .(00 ")
::c
)
1
y=--x+4
2
Y=-3X[C.;<,
3~
~
I,
'-t.)
.
.
.
J:2ls
the point (-6,0)
_( -1.0j+ '3(0)i.
a) -x + 3y < 6
a solution to:
f..o "2
Co t..
'\
"00 ~
~'i2.
- 7
do ( -(0") t :,(0) ~ IS 0
to
-I~
)1,)
IVO
b) 2x+3y>15
Solve the inequality for x: a) -4x < 36
b) 5x - 2 >-4
t.?~.;l
J:i -
[~ ~)
~--){->--=~
[_x_/_- )/.~~
Q-~
28. Are the following lines parallel, perpendicular, coinciding, or intersecting but not
po-vo...((e(
perpendicular?
a) y =
=
3
-4
-3
-x
4
X
+2
5'Q~e
\,(\ e
+2
b) y =
y=
-sxtJ
1/
Sx
9-ct
~.
Graph the inequalities
a) y ~ x
+2
b) Y
-2
> -x-1
3
cJ ' -PJ:.e
.
.;(~II'
.
'.
21 - 22 Multiply the polynomials
23 - 25 Factor Completely
g..C1
3D
z( x2 ~+~6U\.x...:r:+..Q8c--_-
[c \( +- '+)(Xf";)'} 1
24. x2
121
-
(X+IIJ (X-II)
-,\a5
3x2
-
24x + 45
3 (x ~- 8">< +15")
{~(
'It -
))Cx-3~
'??-~. Solve by factoring:
?( 9 J(
;J -
IJ x -
27x
2 -
36 x +12 = 0
'-j ')
'3 ("3x.-;;J.)(3~-~)
'"J "f"
.-La
3 x- t- ;L;;2.::: 0
,. :>
-bi:..Jb' -4ac
? x.. ",,;:J.
Solve the equations using the quadratic equation:
'")1 t'f.
2a
x=
2x2 + 3x - 8 = 0
--
_ - 3.::t
-
"
28 - 31 Using the graph below answer the questions.
6
-2
,~ 28:' The axis of symmetry is?
X
~I
~
-=
d-.
The graph has a x intercept(s) at:
X-=- I
?V
X'::
?
;30. Does the graph have a maximum or minimum? Where is the max/min located?
Y'/u'Y\
i ,n(.ctY\
(
;;2 J -I;
")"..31. The graph has a y-interceJ:)t at:
(()J~)
'7y
3L:' Describe how the graph y = y = 3x2 -4x -19 opens
U--p )
Sl.-VLce
--tile
'a ( 15 P()<:J+I'v-e.
~4
~
Is the following table a model of a linear function, quadratic function, exponential
function, or none of these?
((x)
x
-2
-1
-14
-9
-4
1
0
1
2
LL~(
5
5
5
6
11
3
!'J(x)
5
5.
1-\-D
~. Is the following table a model of a linear function, quadratic function, exponential
function, or none of these?
x
y
I1f(x)
Mf(x)
-3
-2
23
15
-8
2
-1
9
-4
0
5
1
2
3
3
3
5
-6
-2
0
2
2
2
2
2
Ltl
"3"5.II company's net profit in millions of dollars, p, can be modeled by the following
quadratic formula where t is the time in years.
2
p = 3t - t - 4
What can the company expect its net profit to be in 4 years?