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Algebra 1 Semester 1- Instructional Materials ?rql-[^zsL!t
Multiple Choice: Identify the choice that best completes the statement or answers the question'
A1 In an algebraic expression, what separates the terms?
/ A) addition and subtraction signs
B. parentheses
C. multiplication and division signs
D. multiplication signs
(x-h)z -(x-h) Subs+t+u'€whenx=-Zandh-3.
c.0
(-r-ef-i.zi)
@'o
lto
A parking lot holds 42 cars. There are26 cars in the lot already. Which inequality can be
solved to show all the numbers of cars (c) that can still park inrt[e lot?
kru*{.}, X 26+42\+
(9 Z6+c142 D. 26*42'<c
Leroy works part time for a moving company. One day he had to move 34 boxes from a
truck to inside a house. After moving some boxes, he took a break and told his boss that he
has only 15 more boxes to move. Which equation can be solved to find how many boxes
Leroy moved before his break? .Ir.fr_a 1A " = ,(\{sn^!*A. L5*34-x lrZ-$il .,)34-
B. !5-x-34 D. 34*x-L5
Ayanna and Zoe are measuring the speed of a snail'
for msasuring this quantitY?
A. miles per hour C. meters per second
@ millimeters per minute
Which units would be most appropriate
D 2' Evaluate the exPression
A. -10
B. 20
3
b3
D5
Released 914/14
Algebra 1 Semester 1 Instructional Materials aCIr4'-2CI15
II.
6.
Iwhich of the following represents @
?c*\iNwi^n fq utJmt@
otv(E6{h
& Ia<,I. inout output
2 5
J 5
+ 5
5 5
A. All of the above
B. I and II
\9 I and III
D. II and III
Ve{-t c-al i,"e testC.
D.
k-
ainput output
I I
L 2aJ 2A.l I
/\"#tfl'John bought x pounds of beef for a barbeque. The price for the beef was $ 1 .49 for the first
pound und $ t ,Og for each additional pound. Write an equation that shows frow the. cost ll. . ^ "lgroundbeefdependsonthenumberofpoundsx. 2*4,'|qr-' /\'fr Powr^u\
A. cost = t.4ex+ 1.0e fc) ,rrr - ,.tnffi + r.+{s \
\-/B. cost : (L.09 + 1..49)x D. cost = L.09x + t'49
Released 9/4/14
DN
C-10
D"
F"
Algebra 1- Semester 1 lnstructional Materials 2,A14-2QLg
February, $100 by the end of March, and so on. Which equation describes the amount in
his savings atany given month (m)?
C. sautngs
@ savtngst\tit
Write an equationattending. What is
$949
$7033
^..tP*gt';nfiThe cost of food at a wedding it(tsgltus $17 per person attending.
that gives the total cost of food asf,lfunction of the number of people
the cost for 47 people? ,l {A. !=17x-150; $649 $l l-I7x*150;
A. sautngs - 40 * lZm
B. sautngs : 60 * m
A. x--0B. x--!
D' !:rSox-17;
=60+L5m
-- 40 * Zjm
B. !=\50x*77; $7067
What is the solution for x in 5x - Z *1tr-z
2x 7x-2?7'{€-
0=\-z-t-*
no solution
tnf tnttely many soluttons
b122
What is the solution for x in the equation, ; + 7 = -5?
D 14. Solve the equatio n34.Bx* #("DF;;A x = -'r,.6 ?\'gxto,Lx-0"8 # ffS *lx
_7 +-l=-91 7--T*77
-1-
L2 2 -- -\7= Cro5>-x a yWWlLr)-- -\z(x)
2 = -lLX-j1o {_n-
-3 '6-vx-zz \Y
x=-47
4
A.
@
C
D. x-
lue of x?
L-&c x-g x-_
Given the following e.q
-3x*25*x+zrtCD "-,, IB. x:3 I
\_--x-- .^B. x--2.6 (D.'j x--z
3gY.-o.? = -tYx+z;r+CI'-g +B-*
3T- 2- -tb +TJY-Zryy -L7K .
Rereaseds/4/1.4 3 2 *tb
Y4
Algebra 1 Semester 1 Instructional Materials z*a4-z,atg
Which of the following inequalities represents the solution to 9m
A. m>-B c. ms-;T
D17
b"@ -s-8 D. m > -648
C-tuWhich of the following inequalities represents the solution to{a+ 3 -&> 15?
< -72?
T^- ^\a t f , I
/VA a -V
I
\/
A. a1-6 @ a1-4 -3crt3>tyB. a)4 D' a)-4 j 2
{rr>2-\1what is the solution^to the compound inequality, 1,4 < 7x - 7 < 42? Y 6.4 -tU
^ 2 <. r ., .7) lltl, 1y1+q\ c. 1 < x 1s \-/A. z<x172 .i_'l'f '"JiT+T 1 L<x15B esx<t3 Al, U FI+e) 3<x17 3+K11z\ al1
b"1
Astudentsolvedtheinequalrty xy + 5 < w -Z forxasshownbelow. Isthestudent
correct? Explain.
xY*5<w-2xy+5 -5 < w-2-5
)cy w -7vv
w -7x< v-A. Yes, the solution is corect ify is a negative integer'
( g. ) y"s, the solution is correct if y is a positive integer'{7 ^ /rr:'=,C: No, the solution is incorrect because the inequality sign should be reversed for all
division steps.
D, No, the solution is incorrect because the inequality sign should be reversed when 5 is
subtracted.
Released 914/1'4
Algebra L semester l- Instructional Materials 2*N4,2.Q1-5.
Wb
20.
rtt ,,
c. /=8'5*o'5xD. ! = -9x - o.Sx
\ 22. A line graphed on the coordinate plane has a slope of 2 and,contains the point (3,4).
-P Which of the following points is on the same line?
A. (2,3)
B. (1,1)
c. (0, -3)" (
=r.K@,-t,-#
U''k& |por^s
l_rtg. Which number line represents the solution to the compound inequality,
/\ L{v > rbtl€rrrirrrrTF;!3
D.
-5'4 -3-? -l 0lt€b
<rrrrrrffir>"-5 -4 -3 -2 -l 0 I 2 3 4 5 -5-4-3-2-1012345
Sean is driving to visit his friend in another state. In the first hour, he travels I of the total
distance. In the second hour, he travels 34 miles. If he has 194 more miles to ggz how far
"::::,;:"'?"1 1Y* ty:f : z*4mres
,<-\- - lr+2L87'Y - ^;t^^ -5'A/ zBS miles )r _f ,, D. . 262 miles
--sx LzzZL" +ut =X Y q6 ?A movie theater charges S8.50 for an aOuft tfket to anTevening showing of a popular "1movie. To help the local animal shelter, the theater management has agreed to reduce the
@price of each adult ticket by $0.50 for every can of pet food a customer contributes to a K
Lollection barrel in the theater lobby. Which of the following shows an equation in which yrepresents the cost of an adult ticket in dollars for a customer who contributes r cans of pet
food?
fa.)v:8.5-0.5xB' T:9x-o'5
Released 9/4/L4
Algebra l- Semester l- Instructional Materials 2.*\4*2,ALS
Given the graph and the equation, which line has alarger slope?
Line B
12
1x+w? X+rz\
"1,**
,N,,
Line A has a larger value for sloPe
Line B has a larger value for sloPe
Line A and Line B have the same sloPe
Cannot be determined
V24 A student graphed the line 6x * y : 8. If she substitutes the number 3 in for the number -B in the equation, how will the graph of the line change? *, rr-r\
B.
C.
D.
A. The graph of the line will shift up five.
{-il) rn" graph of the line will shift down five'\-/C. The graph of the line will rise less steeply.
D. The graph of the line will rise more steeply.
bx+^n-- t" ' --'' r)-bY'.A-*'\f -bY)r
')-
D" A student graphed the line 4x - y - 2. If he substitutes the number 6 in for the number 4
in the equation, how will the graph of the line change, 4 y-q= L
A. The graph of the line will shift up six' JB. The graph of the line will shift down six' -q - -!Y+Z*\)\C. The graph of the line will rise less steeply. tra- )& -2-ln. lThe sraph of the line witl rise more steeply. J t
I I
-
\-/ t4 = bv-L*J \ St<afq-
Released 9/4/14
Algebra 1 Semester l- Instructional Materials 2;,&t$*zaL$.
B.
(_- 27 . Which is the graph of 5x : 4y * 20?
A. i 5l-^',is= 2',Xlnt5x=1nX='{
\Jr'tta'!-e
1=-5
D.B.
Released 9/4/I4
Algebra 1 Semester L lnstructional Materials 2AA4-ZA15l
D"K Y, Y-Yu(6,1) and (-4,6)?Which of the following properly describes the line through the points
4 The line slants upward at arate of ?and crosses the x-axis at 4.
B. The line slants upward at arate ot ] ana crosses the y-axis at 6.
b. The line slants downward at arate oi -Z and crosses the x-axis at 4.
@ The line slants downward at arate of -;and crosses the y-axis at 4.
b,n
30.
@to):{3::'r',
{rr'r =[3::Z',
\,/^,. (zx-3, x11./\tlx): t3"-5, x>_1.
xlIx )'J.
tVov*ttx)L
w-w'=uXr-A -14
*;€
Which equation of the line has a slope of 3 and passes through the point t|,\l'
A. y--3x+s X v-3x-'r'5 U:SX+[DB y--3x-'r,s I y-3x+e il$.+b-+*:)-i,?n
Which equation of the line that passes through the points (i,t) u"d (- 1,r), k W b
A ,=|f.i) ., c v--i(.-i) .u [fB ,=|('.1) .u D y--iQ-1) .'
Released 9/41L4
Algebra 1 Semester 1 lnstructional Materials 2,e',.4*z.a!.9
32. Which graph the oiecewise function?
/b Zl. Jim bought a cell phone pian that will cost him $25.00 per month plus $0.10 for every text.Y Which linear equation would be the best model for his cell phone plan cost?
C, y=L.00(x-0.10)+25
D. Y = 25.10x
*,0 The frrst five terms of a sequence are given below:
term ofthe sequence?
---- leYr h= \_*!,x*{ -+n/r ::-4n*ZB
B
A. y-0.10x-25
@) r:o.'loxf@fo'trt\
4f(n):F<tzB f (n) llfzz Rxt
Released 9/4/1.4
Algebra 1 Semester 1 Instructional Materials ket4"?at5
o*,' An exercise program begins the first week with 30 minutes of daily exercise. Each week,
the daily exercise is increased by 5 minutes. Which function represents the number ofminutes of daily exercise in the nth week?
A. f (7) = 30,f (n) = 30n,f orn> 2
B. f (1):30,f (n) :5n*30,f orn> 2
A\(c. )/(1) = 30, f (n) - f (n- 1-) + s, forn> 2
D' f (1) =30,f (n) - 5f (n-L),f orn2z
A
fl 36. The graph of a system of linear equations is shown below. What is the solution of the
' ,yst.Li /C,4) |
@ rr,n1
B. (6,0)
c. (0,3)
D. (0,6)
8. The equations of four lines are given below. Which two equations form a system with nq
Ltne'J- x-3Y =9 /
Ltne Z y -/z(x + 1") - 7
Ltne 3(,$"*,
Ltne 4 , =(-;)," - 4) - I
4,,
*
D PW <-! po'o{lo( [,*A. Ltne I and. Ltne 2 -\ Sd"rrrr!- SLry-B. Ltne 2 and Lrne 3
C. Ltne 2 and Ltne 4
0 tt"" ! and Ltne 3
4u= r#fl\=\\r +
WY-t
Released 914/14
Algebra 1 Semester 1 lnstructional Materials 70,,7.4"?"0.L5
,\p.39 The graph and a table of values are given to represent two linear equations in a system of{ \ equations. Which of the following is the solution to the system?
Line A Line B
1,0)
(2,0)
(0, -3)(-1, -5)(-2,-6)
Ou<,1ur b'Yt\ li,-r,19
'i -i Il>cr"a..-4(-A,t t
t--
ff +O The equation and a table of values are given to represent two linear equations in a system ofJ/ equations. Which of the following is the solution to the system?
Line A Line B
y--3x-4
x 1t,v
-1 +
1__Z
2 -5
A. (0,1)
B. (-2,2)
C. inf ini.te number of solutions
Released 9/4/1.4
Algebra l- Semester l- lnstructional Materials 7r**4-zqt5'
41. Which x-coordin@!g!4.,!he solution to the system of equations?
[{.ffi
C42{l'(.- Q sX-L= 3
+,L+7
_bo, house to watch a movie. You let each person decide if
". ll.' 'T*o difierent famflies bought general admission tickets for a Reno Aces baseball game.
6 One family paid $70 for 6 adults and} children. The other family paid $59 for 3 adults and*r 4 children. How much does an adult ticket cost?
t/IJ. \
A. !:5
0"iy-z=3 a,{x-
$8 LA-* y:# qd/^,ft1.. $11.67
$e ?="# c-[4rW*0. $1e,67
("Of Q1= 70 )" *'
--v -lLF -v3=-!:"' i+'il=sl ' -'e'--qY = -u/y=7
they wanted to snack on popcorn, which cost $2.50 per person, or candy, which cost $1'75
p"ip"rrorr. you spent SiZ.ZS to buy snacks for 8 people. Write a system of equations that
you-could use to determine how many people chose popcorn (p) and how many chose o ^ ( ^.unav C4.
"- ----- J r n4!/* €1nS
^ r,, (2.50p+'J..75c=8 (- r(*\-YL7.75-2'5p=g V S
A. rrx)-[ p+c=rr.7s c. f(x)-t]'it!-t.;;=; S i'ljf
B.f(x)_ti.,,?2l3:=iii:@f@)_|z.50eii,,':='J'7'75w
-(o.syt L)=?-X- ol,w->= 36 y -- 7+X #u=1
Released 9/4/14
Algebra l- Semester 1 Instructional \lg"t-.ttgl;" 2.AA4-ZAL$
D.
5"i'"iWhich is the graph of 2x * 5Y > 10?
OC t4=vnWblLsr'Ly ='O^
x{t):b
-'
-fr: rI o,o\ r,
*Lr/r-
}U)+r(o) al
0Zto
%,\-'
Released 9/4/1'4
Algebra 1 Semester l" Instructional Materials zaa+-zaL5
b47Sally wants to buy her friend a bouquet for his birthday. She wants to contain both
carnations and roses. She has $28.50 to spend. Carnations cost $1.50 each and roses cost
$2.50 each. Which graph below represents the possible combinations of numbers ofcarnations and roses Sally can afford to buy? l" p [,:t^tA. ./ro*,s C:ar-rr"ryi Yw) K" ,n,.",^ ,1 \.5f {- 2 9{ +Tg'T:t '.' i
,;K \ ' >F T -<- ,J 't\ ',1. r ' 'i;;+\ _<. ;+ \' _ j, :
''{ ;\ -l ,^-{&'1j40t> '*+ \i. 'j , ,, ;
('dritLtt iuil.\
O,$"'lx
t6
t4
JO
8
6
4
2
l0
l8
t6
14
l?
l0
8
6
4
1
l:snlali)n.tCurnatknts
t0 t2 t4 16 l8 30
48. Which system of inequalities models the graph below?
A.
B.
D.
? 4 6 I l0 l? 14 16 18 l0
2.4 6 I l01214161820
Released 9/4/14
Algebra 1 Semester l- Instructional Materials 2Or4*2e].'
h-'Jesse wants to plant p#.fr unA upkrees in his backyard. He can fit at most 9 trees. Each Wr"peach tree costs $60, and each apple tree costs $75. If he only has $600 to spend, make a tr. ,
pqrh showing the number ofleach kind of tree{h7t he can buy. Y+q 4\A/ upptc K q4tta .)-\-/,nl ,.,,,,,, | ,nWr^,-t^,Lroffi ' ,n hlvs-'lsta-Lbe'"Wfux*syLk
8
6
4
2
X,:r upple
il.
il.
IO
8
6
4
2
ltutchpeach
t0
D'o Which of the following points is a possible solution to the following system?
ksr 6"ii.f oi,t{g
nt F
/i\1E)
/t'\
3\2)
tbl,qi2),
(-(-(1,
(3,
%t)*6(z)> tz--1 -tz2tZan,
Released s/4/t4 V
T \L5 /\Lt !
7
tC}+(')tY*(. + YLS
_t{ zy2G)+t-z)xs
xx
x*y15v
:\
b+-zLf ,/\z; n
Algebra 1- Semester 1 Instructional Materials tuet4*2,Q!"8
Algebra 1 Instructional Material Answers 2014-2015
1.A2.D3.B4.C5.D6.C7. A
8.C9. D
10. c
11. Dt2. B
13. At4. D
15. B16. ct7. D
18. B19. C
20. B
2t. A
22. D
23. A24. B
25. D
26. D
27. C
28. D29. D30. A
31. B
32. C
33. B
34. C
35. C
36. A
37. A
38. D
39. A
40. D
4t. c42. C
43. D
44. B45. B
46. D47. B48. C
49. A
50. D
Released 914/1'4
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