Name:___________________________________________________
Date:_____________________
Block:_______________
AlgebraIA/B
SummerPacket2018
Directions:Allworkmustbeshown.Donotuseacalculatortocompletethispacket.Youwillbe
assessedonthismaterialwithouttheuseofacalculator.Leaveallanswersassimplified
improperfractions.
For#1–3,writeanalgebraicexpressionforeachwordphrase.
1. anumberpminus19
2. 12morethan5timesc
3. 1lessthanthequotientofanumbernand6
For#4–9,simplifyeachexpression,leaveasasimplifiedfractionnodecimals!
−10 − ( −2 ) i ( −4 3 ) 4.
5.
6 ÷ 2 + 4 i ( −2 ) 6.
22 + ( 32 − 4 2 ) 7.
(3
5 2 ÷ 2 9.
16 + 3 − 7
22
8.
3
− 9 ) 2
For#10–13,evaluateeachexpressionfora=-1andb=5.
5a − 7 10.
11. −2b − a 5a + 2b 2 − b 3 12.
13.
( ab )2 For#14–15,orderthenumbersfromleasttogreatest,thengraphthenumbersonthenumber
line.
14.
−2,5,−18,0,−1, 4,9,−1.5 3 2 1 7
15.
, , , 4 3 2 8
For#16–27,evaluateeachexpression.
−3− 8 −11+ 4 16.
17.
19.
22.
25.
5− 7+ 3
(−4)(8) 6÷
1
8 20.
4 − (−4) −10 23.
(2)(−3)(−12) 26.
4
1
÷ (− )
5
8 18.
( −3) + ( −4 ) 21.
3 1 2
+ −
8 6 3
24.
2 12
•
3 5 27.
(−
2
17
)(− )
17
2 For#28–33,simplifytheexpressions.
28.
29.
−3( 2x − 6 ) 31.
5x 2 y 2 − 8x 2 y 2 32.
( 4 x − 1)( 4 ) 4 − 2(3x − 8) + 9x 30.
3x + 7y − 2x + 3y 33.
For#34–37,solvetheequationfortheunknownvariable.
−5x = 45 34.
g − (− 7) = − 12 35.
36.
x − 15 = −25
37.
w −1
= −3
4
15x + 11
5
For#38–46,solvetheequationfortheunknownvariable.
38.
40.
42.
44.
−8(b − 5) = − 8b + 40 2
10x − 16 = (15x + 24)
3
39.
41.
1
2
3
x= x2
5
10 43.
w + 2 2w − 11
=
5
7 45.
m
1
=
120 −24 -
1
x = - 11
5
x
− 25 = − 18
−6
8 x - (2 x - 4) = 12 1.34x − 8.2 = 2.62x − 4.36 46.
For#47–48,solvefory.
y - 2x = 3 47.
48.
−2x − 4 y = − 6 J = mL + Q 49. Solvefort: I = P rt 50. Solveform:
For#51-53,defineavariableandwriteanequationforeachsituation.Then,solve.
51.Youliketoshovelsnowinwintertoearnsomeextramoney.Youchargedyourclients$7per
drivewayandearned$42.Howmanydrivewaysdidyoushovel?
52.NoahandKatieareshoppingfornewguitarstringsinamusicstore.Noahbuys2packsofstrings.
Katiebuys2packsofstringsandamusicbook.Thebookcosts$16.Theirtotalcostis$72.How
muchisonepackofstrings?
53.Abakerysellspackagesof10bagelsfor$3.70.Ifthebakerystartssellingthebagelsinpackages
of12,howmuchwouldyouexpectapackageof12tocost?
For#54–55,convertthegivenamounttothegivenunit.Roundtothenearesttenth.
SHOWALLWORK!
54. 16in=__________cm 55. 25mi/hr=__________ft/min
giventhat2.54cm=1in
giventhat5280ft=1mi
56. Whichisthebetterbuy,7poundsofmeatfor$8.47or9poundsofmeatfor$11.07?Explain.
57.68%ofwhatnumberis64? 58.13iswhatpercentof39?
59.Whatis40%of720? 60.Whatpercentof18is3?