*1.**Ms. Enigma said, " Five less than one third of my age is 14." How old is Ms. Enigma*?

Ms. Enigma is_____.<----- your x

x-5, 1/3 x---> x/3 x/3 -5=14 let x= Ms. Enigma's age.

+5 +5 Substitute to check...

x/3=19 x/3 -5=14

x3 x3 57/3 -5=14

x=57 19-5=14

14=14

**Ms. Enigma is 57.**

*2.**Suppose you have $50 and earn $8 per hour. How many hours must you work until you have $170?*

I must work_____.<----- your x

8x+50=170 Let x = hours of work

-50 -50 Substitute to check...

8x=170 8x+50=170

/8 /8 8(15)+50=170

x=15 170=170

**I must work 15 hours.**

**3.**Valley Vudei charges a $12 annual fee plus $3 per movie for rentals. Last year., Jennifer spent $90 at the store. How many movis did she rent?Jennifer rented_____.<----- your x

3x+12=90 Let x = # of rented movies

-12 -12 Substitute to check...

3x=78 3x+12=90

/3 /3 3(26)+12=90

x=26 90=90

**Jennifer rented 90 movies.**

**4.**Kimo's car needed work. The mechanic charged him $130 for parts plus $40 per hour for labour. If the bill totaled $270, how many movies did she rent?Kimo will labor_____.<----- your x

40x+130=270 Let x = hours of labour required

-130 -130 Substitute to check...

40x=270 40x+130=270

/40 /40 40(3.5)+130=270

x=3.5 270=270

**Kimo will labor 3.5 hours.**

**5.**Suppose you are a salesperson for Quark Computer company. Each month you earn $400 plus one sixth of your sales. What amount must you sell this month to earn $2000?I must sell_____.<----------- your x

1/6 x-->x/6 x/6+400=2000 let x = amount I must sell

-400 -400 Substitute to check...

x/6=1600 x/6 + 400=2000

x6 x6 9600/6 + 400 =2000

x=9600 2000=2000

**I must sell 9600.**

*-Marlon*
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