Solving Equations
Show your work
2/3x+5=17
(3/1)(2/3x)+5=17(3/1)
2x+5=51
51-5=46
46÷2=23
Sherry wants to buy some CDs that each cost $14, and a DVD that cost $23. She has $65. How many CDs can she buy?
how many CDs
An online retailer charges $6.99 plus $0.55 per pound to ship electronics purchases. How many pounds is a DVD player for which the shipping charge is $11.94?
equation
$6.99+$0.55x=$11.94
below, lesser, lower than
Less than
If the area of a wall is 35m2 and you were to hang 4 pictures that have an area of 3.75 m2. How much area of the wall would not be covered by a picture.
20m2
35-(3.75•4)=20
Chris is saving money to buy a bike that cost $198. He has saved $99 so far. He plans on saving $10 each week. In how many weeks will he have enough money to buy the bike?
How many weeks
Tammy already has $55 dollars in her savings account. If she puts $5 per week in her account, how many weeks she must save to have at least $100 in her account.
Inequality
55+5x>=100
at least
greater than or equal to
There are 25 big dogs in a park, Which is 3 more than twice the number of small dogs. How many small dogs are there?
11 small dogs
25-3=22
22÷2=11
A repairman charges $50 for a home visit plus $75 per hour for the time he spends making repairs. How many hours did he work if he was paid $325 for a home visit?
how many hours
Caitlin has a $10 gift certificate to the music store. She has chosen a number of CDs from the $7 bargain bin. If the cost of the CDs is $32 after the gift certificate is credited, how many CDs did Caitlin buy?
Equation
7x-10=32
is, the same as
equal
Mary is making a bracelet. She has a rope that is 6 inches long. She puts 5 red beads that are .25 of a inch long, 5 blue beads that are .125 of an inch long and 32 white beads that are .0625 of an inch long on the rope. About how much of the rope doesn't have a bead on it?
1 inch
6-(5•.25)-(16•.125)-(32•.0625)
6-(1.25)-(2)-(2)=0.75
Alma subscribes to a website for processing her digital pictures. The subscription is $5.95 per month and 4-by-6-inch prints are $0.19 each. How many prints does Alma purchase if the charge for January is $15.83?
How many prints were purchased
Sylvia needs at least $310 for a new audio system. She has already saved $120. She earns $10 per hour at her part-time job.
Inequality
120+10x>=310
at most
less than or equal to
Micheal is selling hamburgers for $1.50 each and cheese burgers for $2.50 each. For every dollar that he earns, he spends $0.25 on burger materials. If he sells 8 hamburgers and 12 cheese burgers, how much money does he have left after buying material?
He makes $42 before materials
After materials he made $31.50
(1.50•8)+(2.50•12)
(12+30)=$42
42-(42•0.25)
42-10.5=31.5
Mrs. Jackson earned a $500 bonus for signing a one-year contract to work as a nurse. Her salary is $22 per hour. If her first week’s check including the bonus is $1,204, how many hours did Mrs. Jackson work?
How many hours did Mrs. Jackson work
You want to spend at most $12 on a carriage ride. The driver tells you there is an initial charge of $5 plus $0.50 per mile.
inequality
5+$0.50x<=12
exceeding, over, beyond, larger than
greater than