8.EE.8E Real World Problems

Al's Remtals charges $25 per hour to rent a Winsurfer and a wet suit. Wendy's charges $20 per hour plus $15 extra for a wet suit. Find the number of hours for which the total charges for both would be the same

3 hours

Taking a cab in New York City is expensive. There is a base charge of $2.50 as soon as you enter the cab plus and additional $2.50 for every mile. Suppose you only have a $20 bill in your pocket. How many miles can you travel?

7 miles

The school band is going to a competition. Five members play the flute. There are three times as many members who play the trumpet. There are eight fewer trombone players than trumpeters, and eleven more drummers than trombone players. There are twice as many members that play the clarinet as members that play the flute. There are four fewer tuba players than there are trombone players, but three more members play the French horn than play the trombone. The band director, his assistant, and six parent volunteers are also going. How many seats are needed on the bus?

76 seats

To solve an equation what do you have to do to the variable?

Isolate the variable

Nina has $5 bills and $10 bills in her wallet. She has a total of 7 bills with the value of $55. If f equals the number of $5 bills and t equals the number of $10 bills fill in this equation. ____+____=7

f+t=7

Lynn saves $45 a week. She now has $180. She plans to save for a trip to Puerto Rico. How many weeks will it take her to save $900?

w=16

Sara paid $15.95 to become a member at the gym. She then paid a monthly membership fee. Her total cost for 12 months was $735.95. How much was the monthly fee?

x=$60

Ernie has an income of $40 which he plans to spend on cookies and milk. The price of milk is $1 per gallon, and the price of cookies is $2 per dozen. If Ernie buys 12 gallons of milk, how many dozens of cookies will he buy if he spends all of his income?

14

A charter bus company charges $11.25 per ticket plus a handling charge of $.50 per ticket, and a $15 fee for booking the bus. If a group pays $297 to charter a bus, how many tickets did they buy?

24 tickets

Alessia is paid 1.4 times her normal hourly rate for each hour she works over 30 hours in a week. Last week she worked 35 hours and earned $436.60. What is her normal hourly rate?

$11.80 per hour

A moving company is hired to take 578 clay pots to a florist shop. The florist will pay the moving company a $200 fee, plus $1 for every pot that is delivered safely. The moving company must pay the florist $4 each for any pots that are lost or broken. If two pots are lost, four pots are broken, and the rest are delivered safely, how much should the moving company be paid?

$748

What is a variable?

A variable is an unknown number that has to be solved for

Shanice's car is traveling 10 miles per hour slower than twice the speed of Brandon's car. She covers 93 miles in 1 hour 30 minutes. How fast is Brandon driving?

Brandon is driving 36 miles per hour

What property would you most likely use in almost every multi step equation?

Distributive Property

What are equations with variables on both sides called?

Multi Step Equations

What is it called when there is a number in front of a variable?

Variable Term

What do you do with terms that are alike and on the same side?

You combine like terms

Solve the equation 2c+4-3c=-9+c+5

c=4

Claire is training for a marathon. She wants to run 40 miles by Friday. She has already ran 32 miles on Thursday. How many more miles does she have to run?

m=8

Elaine runs the same distance everyday. On Mondays, Fridays, and Saturdays she runs 3 laps on the track and then runs 5 more miles. On Tuesdays and Thursdays she runs 4 laps on the track and then 2.5 more miles. On Wednesdays, she just runs laps. How many laps does she run on Wednesday?

n=5 Elaine runs 5 laps on Wednesday