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