1.2 Writing Expressions, Equations and Inequalities

1.2WritingExpressions,Equationsand
NOTES
Inequalities
Write your questions here! Translating verbal phrases to mathematical operations Addition Subtraction Multiplication Translate the following phrases Rate: Useful Conversions Unit rate: EX: Write Equations and Inequalities Equation: Inequality: Division Symbol Meaning Other Words Solution of an Equation or Inequality: Ex: Use mental math to solve: You try! SUMMARY:
Now, summarize your notes here! 1.2WritingExpressions,EquationsandInequalities
Translatetheverbalphraseintoanexpression.
1)8morethananumberx
3)Thequotientoftwiceanumbertand12
PRACTICE
2)50dividedbyanumbery
4)5morethan3timesanumberw
Writeanexpressionforthesituation.
5)Numberoftokensneededforvvideo 6)Amountyouspendifyoubuya
gamesifeachgametakes4tokens.
shirtfor$20andjeansforjdollars
7)Numberofmonthsinyyears
Findtheunitrateinfeetpersecond.
8)
180 miles
2 hours
Describeandcorrecttheerrorintheunits.
9)9
∙
∙
$
$
Writeanequationoraninequality
10)Thesumof42andanumbernis
equalto51.
11)Thesumof12andthequantity 12)Thesumofanumberb and3is
8timesanumberkisequalto48
greaterthan8andlessthan12.
13)Writeaninequalityforthepricep(indollars)described.
Describeandcorrecttheerrorinwritingtheverbalsentenceasanequationoraninequality.
14)Thequotientofanumbertand4.2isatmost15.
t
 15 4.2
Checkwhetherthegivennumberisasolutionoftheequationorinequality.
15)9+4y=17;1
r
16)  4  4;12 3
18)4z– 5<3;2
17)y–3.5<6;9
Solvetheequationusingmentalmath.
19)y+16=25
20)8b=72
Skillz Review Simplify: Plot the points: 1) (‐3, 4) 2) (5,0) 3) 5)
Simplify: 4) 2
2 4 6) 5
2 4
8/2 1.2WritingExpressions,EquationsandInequalities
APPLICATION
1)Findtheunitrateinfeetpersecond:
2)Checktoseewhether5isasolution:
240 yards
1 hour
10+7g<44
3)ThefootballteamneedstobuyGatoradeforSaturday’sbiggame.Theyhavetwooptions.Thefirstoptionistheycan
buyitpre‐madein48ouncebottlesfor$3.84foreachbottle.Ortheycanbuypacketsandmixwithwater.Eachpacket
makes64ouncesandwillcost$4.80.
a)Findthecostperounceofeach.
b)Whichsizecostsless?
c)Theteamwillneedtobuy192ouncesofGatorade.Howmuchdoyousaveusingthechoicefromanswerb?
4)YourfamilytakesaroadtriptoBerlinfortheweekend.You’vedriven120milessofar,butneedtotravel400miles
total.Howmanymoremilesmustyoutravel?
5)Youandafriendarediscussinghowmanysectionsyou’vecompletedsofarinAlgebraI.Youtellyourfriend“I’ve
finished3timesasmanysectionsasyou.”Yourfriendreplies“You’veonlyfinished4moresectionsthanIhave”.How
manysectionshaveyouandyourfriendcompleted?