Linear
Exponential
Inequality
Systems
Misc.
100
A gardener has $200 saved up. He is paid $50 for every lawn he mows. Create an equation that represents how much money he will have after mowing x lawns.
y=50x+200
100
An outbreak of a new virus is being studied. Initially, 45 people are infected with the virus. The number of people infected with the virus every week triples. Create an equation that represents how many people have the virus after w weeks.
y=45(3)w
100
Johnny wants more than 50 apples by the time hes done picking them at the apple vineyard. He already has 10 apples and can pick 2 apples a minute. Create an inequality that represents how many x minutes its going to take Johnny to pick more than 50 apples.
2x+10>50
100
The difference of two numbers is 3. Their sum is 13.
x-y=3 and x+y=13
100
Create the data set represented by the dot plot below:
2, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 8, 8
200
Jules has $1500 to spend on her medical bills. She has opted to pay $100 a month towards her bills. Create an equation that represents how much money Jules has left after paying her bills for m number of months.
y=-100m+1500
200
The element Uranium decays to half of its amount every year. A scientist starts off with 67mg of uranium. Create an equation that represents how much uranium the scientist has after t years.
y=67(1/2)t
200
A taxi charges a flat rate of $1.75 plus an additional $0.65 per m mile. If Kendra has at most $10 to spend, create an inequality that show how many miles Kendra can drive in the taxi.
0.65m+1.75<=10
200
Two high schools are traveling to New York on buses and vans. High school A fit 372 students on 1 van and 6 buses. High school B fit 780 students on 4 vans and 12 buses. Create a system of equations that can help you find how many students fit on each van and each bus.
v+6b=372 and 4v+12b=780
200
If a scatterplot had a correlation coefficient of -0.75, determine the strength of the linear relationship and the sign of the slope of the line of best fit.
Strong relationship because closer to -1 than 0 and negative slope because of negative coefficient.
300
Will starts saving money everyday. However, he starts a day late. He already has $75 saved and saves $5 a day. Create an equation to represent how much money Will has saved in terms of the day he was supposed to start saving money on, represented by x.
y=5(x-1)+75
300
A bank account acquires interest. The money placed in the account appreciates in value by 7.5% each year. If Manny puts $700 into the bank account, create an equation for how much money will be in the account after x years.
y=700(1.075)x
300
Chris wants to order DVDs online. Each DVD cost $15.99 and the shipping cost is $9.99. If he does not want to spend more than $100, create an inequality that represents how many DVDs (d) he can buy.
15.99d+9.99<=100
300
The drama club sold tickets to their show. The student tickets were sold for $12 each and the adult tickets were sold for $15 each. There were a total of 650 tickets sold and $8,550 was made. Create a system of equations that could help you find how many of each ticket type was sold.
12s+15a=8550 and s+a=650
300
Completely factor the following quadratic:
f(x)=x2-15x+56
f(x)=(x-7)(x-8)
400
Bob is at a burger shop. He sees that there are burgers on sale for $5 each and fries on sale for $3 each. If he wants to spend exactly $40, create an equation that represents how many b burgers and f fries he can buy.
5b+3f=40
400
A stock is loosing value fast at 22.4% each month. If the stock was originally worth $10000, create an equation for how much the stock would be worth after k months.
y=10000(0.776)k
400
Keith has $500 in his savings account. He wants to have at least $200 in the account. If he withdraws $25 per week, create an inequality that represents how many w weeks he can withdraw money for.
500-25w>=200
400
Kelley is going to a fair. She has at most $50 to spend on tickets for rides. Unlimited tickets cost $5 each and one-time tickets cost $2 each. If she ends up with more than 15 tickets, create a system of inequalities that can help you find out how many of each ticket she bought.
u+o>15 and 5u+2o<=50
400
Complete the square for the following quadratic and find its vertex:
g(t)=t2-6t+10
g(t)=(t-3)2+1
vertex: (3, 1)
500
Jill has a small business. She currently has 50 units of product made. She can make 100 units of the product every 3 days. Create an equation that represents how many units of product she will have after d days.
y=(100/3)d+50
500
A vintage car is appreciating in value, but slowly. It gains 17% of its value every 10 years. If the car was bought for $5,750, create an equation that represents how much the car is worth after t years.
y=5750(1.17)(t/10)
500
Alexa wants to practice her violin for at least 12 hours a week. If she practices her violin for 3/4 of an hour every practice sessions and has already practiced for 3 hours, create an inequality that show how many more practice sessions (s) Alexa needs to have in order to reach her goal.
(3/4)s+3>=12
500
A concert promoter is selling tickets. Fewer than 400 tickets were sold and the promoter wanted to make at least $14,000. If lawn tickets were sold for $30 each and seat tickets were sold for $50 each, create a system of inequalities that would help you determine how many lawn tickets and how many seat tickets were sold.
s+l<400 and 30l+50s>=14000
500
Determine the percent decay from the following equation:
f(x)=15(0.63)x
37% decay