1. -# +r *-V
Advancetl Algebra
Calcrrlators Allorved
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75 ?#2,"rffi
SHOW ALL WORK!!!
-J-LJ4J-Ar-
l. Determine the value of a so that a line through the points with coordinates (0, 3) and (5, a) has a
slopeofm=-5.
j - -;zD+b A._<- ,-5 x f +1
)+ Y - z9+7
J
-7-L ,/
2. Write an equation of the line in slope-intercept form that passes through (1, 7) and is parallel to
)
the graph of y - |x -3
5
,l -€ +h
J> 9;d+< ,/
+=b
3. Graph the following equations on space provided and write downpoint of intersection.
2x+6y =r) 6g -- - L?< + la
x-y=2 g-- - $X I Z :trtbxnqt
-3= -XtL (47
J:q<*L
4. Solve by elimination. Give exact answers. 5. Solve by substitution. Give exact
answers.
7x+2Y = {
5x+3y =l!,
3x-4Y=J 2x+ y =3
tLl>{+ *J *{ -Zd+7-/'
J--
+ n<-+3 -5 - 54+)(-74 +7)=l+
'*4 =#
l'l = 17 t-K -dd 4q = l$
--4--q-'l-
Z --
+ tzJ--+';lt'
?
U --1otV
2y-- -'T J l'l
l7 -_ l7
g-- -ffi
d:'fr
i -,A'-(1( 9=- '/ 'd =-{
J:,1?

2. Advaneed Algebra Unit One Test (A)
Calculators Allorved
6 Let ,=l: f] *r=[; 1]
*u ,=l!ri i] Perform the following operations. If
not possible then indicate as'1l{ot Possible" and explain. Give exact answer'
-*(r-::t)+
a. Fnd 2A+ B b.
" Find l-t
({-'*') -'
6* ?)
, (Y- ;*)+ (;' Z)
(? ;') -/ =l?* il /'-
=
a- F4 -t-- rt r
(t -;) (? q'',
What is the name ofthis matrix?
=(;D/
c-o loamrts J;r'l n
^-!c.l ,u/-& O
)b ,ru,mbr.
7. Solve the following system of inequalities by graphing. Clearly indicate solution region by
shading and proper labeling of axes.
x-y<5'_JS_X+5
l,l.+ ',l d -S
9t,
JM
"w6

3. Advnnced Algebra Unit One Test (A) Page 3
Calculators Allorved SHOW ALL WORK!!:
8. Solve the following system of inequalities by graphing. Clearly indicate solution regionlc4,,
shading and proper labeling of axes. br+Xl gS4*+( ./
y < 4x+6
x+4y<7 429-"1+r)
<7 t!- txr 4
2x+ y
x-6y <10
JL-ad+rl
-63 9 -d+ /0 I
a= 6"<-z
^a) t
I 7
/
a/
4
7/
7
,l
,/-9sto
7,,
/+b{rl
uI I 7
I
l,''#'
I
I
I
t
I
I
I
9. Solve this system of equations by any methld. Give exact answers only.
_#t -ffiy-+ l+y'-r'
x*z=-2ffi=V- _o
x*y=u
9--Z
I +Z-- -L
)t* z =2
a*z *9Z=
/
I
4-t /,
J=5o^,/
z*- -/
10. The sum of three numbers is 100. The last number is the sum of the frst two numbers. Twice the
first number is l0 less than the last number. (*Hint: Write the three equations and use matrices to
solve.*)
4+?tZ=ld .{+y+ ?>t 00
z --d+y -<,-.y+&-a
, ;/-
?.x
ZX=/-tb -10
?t;),) (il=(',f)
v'
& .?A (ii=
A :?,-A
q :50 !!i!},,t:)
Y E0,/ G

4. Unit One Test (A) Ptge 4
Advanced Algebra
SHOW ALL WORK!!!
Calculntors Allorved
At a firrn, there are three workers that are supposed to work a combined 110 hours per week.
ll.
Worker 1 is supposed to work 5 hours more than worker 2, and worker 2 is supposed to work 15
and
hours more than worker 3. How lo;rg should each one work? (*Hint: Write the three equations
Xi t + t '- i (b'
use matrices to solve.) ,/ .. r ---'"
/*2+7 =ito
X;_*z+tg -,a 4-1 =5-'
J+, /
J i,=1_'lf -/-'
ui !) (g):WL (*)-(,*:,
'i:)
<=ry 1;
J= 4 ?o
*=q t{
12. The table below shows-":[*/ number of people in the U.S. that are age 100 and over.
Source: U.S. Census Bureau
Draw and clearly label a scatter plot of the data to show the relationship. Let x represent the
^. years since 1990.
,/
ttJ, * he r
ud,
,{ ,0l}/
?* ogb Q$,
*4,
qq
6A
50
qrll0tttLl
b. Find a pr"ai"kftu"?", ,f,J*f*tr?* ,rl? fl{*e number orpeopre aged r00 and over
are related. Estimate values to two decimal places. Draw this on thg4raph.
c.
3= t A E 1.1+* - tzo37 ?Lf. s? -/
Predict the number of p9gple aged 100 and..over in the year 20A7 (Round your'answer to a
whole number). -/
t 274_ql
d. Predict the ygar in which approximately 129,000 people will be aged 100 years and over
(Round your answer to tfu-nearest year).
L00{ a

5. Advancctl Algebra Unit One Test (A) Pnge 5
Calculators Allorved SHOW ALL WORK!!!
13. Given triangle A(2,3), B(4, -1) and C(-1, -2).
(a) Show how triangle ABC can be translated 3 units righlg and one unit down using matrices. Write
lated righ-t
!,
down the coordinates of A'. B' and C'.
:L)r(3 l, :,) -/
7
-a"
(""
(s 'l L 'l
- z -z -7/ -/
A'" (7- , j) B'r(,-z) i=(U 4)
(b) Show how triangle ABC and be reflected across the y-axis using matrices. Write down the
coordinates of A', B' and C'.
Gffi(3 !, 1' )= r; t L
ch -r)
( l, -=,
tJ :) A,; (?t)'rt B,= t ,r,' il c' -- (2, -l)
BOIYUS [2 pointsJ
to football, there are two ways to score: by the run or by the pass' Team
,i*it* A
a sport
pass 21 times, and
scored 244 points,while Team B scored 273 points. Team A scored by the
r* il
times. Team B scored]tr'the pass 27 times, and by the run 6 times. How many
-6 by the
[r/rl";-?7;']"7tb "4t a'-*{{b -*&r!
plittt is each score worth? , -/
zqZ =-zrt )4tb <lq ,+6{ h = vtoT
/a
U9
r^. 'n" l{.t{
tl b:Z*q,ql
b;; r:a'; fiy /f 7
r u, n z?- ?
{*7 P*'ls*1eil€{ {
Useful Eouations
Ax* BY=( *-lz- lt
xz- xt
! =mx+b
(y-v")=*(*-*.)
rcM=1,
fa
1],,0.,
M-'=hl:, :)