Exponential Word Problems
A population of rabbits doubles every year. There are 4 rabbits in the population. How many rabbits will there be after 8 years?
1024 rabbits
What property of equality would you use to solve the equation?
x-5=20
addition property of equality
Lucia's parents tell her that they will give her $20 for each A or B she earns on her report card. She needs to earn a grade of at least 80% to get a B. Write an inequality to show what grade percentage she needs in order to get an A or B.
x>=80
A soccer field is 360 ft long and 225 ft wide. What are the dimensions of the field in yards? (1 yard = 3 feet)
120 yards long and 75 yards wide
There are 64 teams in a basketball tournament. Half of the teams are eliminated each round. How many teams are left in the tournament after 2 rounds.
16 teams
What property would you use to solve the equation?
4x=28
division property of equality
A Florida teen under the age of 18 cannot miss more than 15 days of school with unexcused absences within a 90 day period or their learners permit or drivers license or driving privilege will be suspended indefinitely. Write an inequality to show how many absences you can have in 90 days without getting your permit or drivers license suspended.
x<=15
A recipe for fruit punch calls for 8 cups of orange juice and 6 cups of pineapple juice. How many quarts of each juice would you need to make the punch? (4 cups = 1 quart)
2 quarts of orange juice
1.5 quarts pineapple juice
The area of an American football field is about 3/4 the size of an international soccer field. The area of a football field is 57600 square yards. What is the approximate area of an international soccer field?
76800 square feet.
Emma's grandfather started a money market account for her on her 16th birthday. The starting balance of the account was $2500 and has an interest rate of 0.15% per year. How much will the account be worth on her 30th birthday?
$2553.01
What property was used on the equation?
3x+4-2x=8
3x-2x+4=8
Commutative Property
Benjamin earns $25 per hour working as a mechanic. He earns more than $4000 before taxes each month. Write an inequality to show how many hours he works each month.
x>160
The school day lasts from 7:20am to 2:20pm. How many minutes are in a school day?
420 minutes
Nina paid twice as much for her dinner as Dean. Write this situation as an equation.
n=2d
A new Honda CRV costs $28075.00 and depreciates at a rate of 7.5% each year. How much will it be worth in 15 years?
$8718.58
What property was used on the equation?
2x+3=y
y=2x+3
A roller coaster is unable to operate safely in winds of 25mph or higher. Write an inequality to show the wind speed for which the coaster can operate.
x<25
about 66 miles per hour
At fill capacity, Kanika's car has 12 gallons of gas. Her car can go x miles per gallon. Write an equation to represent how many miles m she can go.
12x=m
A 4 bedroom 3 bathroom house in St. Cloud, Florida has a value of $250000 and increases in value by 3.5% each year. How much will the house be worth in 10 years?
$352649.69
What property was used on the equation?
3(2x-1)=9
6x-3=9
Distributive Property
November is the driest month in Orlando, Florida, with an average rainfall of 2.42 inches. June is the wettest month with an average rainfall of 8.74 inches. Write an inequality that shows the average rainfall per month in Orlando, Florida.
2.42<=x<=8.74
Ethan is traveling in Japan and spends 8200 yen on an adult ticket to Universal Studios Japan. How much did he spend in dollars? (1 dollar = 109.7 yen)
$74.75
Brody is buying polo shirts for school on line. Each shirt costs $12 and the shipping cost for the whole order is $6. Brody has $60. How many shirts can he afford.
4 shirts