Standard Form
Karen's piggy bank has all dimes and quarters. The total value of the money in her piggy bank is $11.40. If Karen has 36 quarters, how many dimes does she have?
.10x+.25y = 11.40
x = 24 dimes
Alex bought a new truck for $42,935. According to the dealer, the truck will depreciate approximately $4,200 per year. How many years until the car is worth $5,135?
y = -4200x + 42935
x = 9 years
A company offers premium cable for $39.95 plus a one-time setup fee. The total cost for setup and 6 months of service is $264.70. Find the total cost for 2 years of service.
y - 264.70 = 39.95(x-6)
y = 39.95x + 25
y = $983.80
The value of a car decreases at a constant rate. After 3 years, the value of the car is $15,000. After 2 more years, the value of the car is $11,000. Find the value of the car after 8 years.
m = 11,000-15000/5-3
m = -2000
y - 11000 = -2000(x-5)
y = -2000x+21000
y = $5000
Kate bought $23.40 worth of two types of bird seed. Thistle bird seed sells for $1.60 per pound, and wild bird seed sells for $0.95 per pound. If she bought 12 pounds of wild bird seed, find the amount of thistle bird seed she purchased.
1.60x + .95y = 23.40
x = 7.5 pounds
The Oakville High School Marching Band sold gift wrap to earn money for a band trip. Solid color gift wrap sells for $3.50 per roll and printed gift wrap sells for $5 per roll. The band needs to earn $2,500 for an upcoming competition. If the band sells 325 rolls of printed paper, how many solid paper rolls must they sell?
3.50x+5y = 2500
x = 250 rolls
If you buy a car wash at the gas station for $6.00, the cost per gallon is $2.35 If you have $40, find the number of gallons of gas you can afford.
y = 2.35x+6.00
x = 14.47 gal
A home security company provides security systems for $5 per week, plus an installation fee. The total fee for 12 weeks of service is $210. Find the cost of the installation fee.
y - 210 = 5(x-12)
y = 5x + 150
y = $150
Customers of a satellite dish company must pay for installation of the dish, and a monthly fee for service. After 6 months, Ryan had paid $594. After 11 months, he had paid $989. Find the cost for installation.
m = 989-594/11-6
m = 79
y - 594 = 79(x-6)
y = 79x+120
y = $120
Jeff is keeping track of his weight over several weeks. After 2 weeks, he weighs 194 pounds. After 6 weeks, he weighs 186 pounds. Find Jeff's weight after 12 weeks.
m = 186-194/6-2
m = -2
y - 194 = -2(x-2)
y = -2x +198
y = 174 pounds
The admission fee at a small fair is $1.50 for children & $4.00 for adults. On a certain day, $5,050 is collected. If 1,000 adults attended the fair, how many children attended?
1.50x+4.00y = 5050
x = 700 children
A music app charges $2 to download the app plus $1.29 per song downloaded. Find the total cost to download 30 songs.
y = 1.29x+2
y = $40.70
ChitChat Wireless charges $0.30 per minute plus a monthly base fee. In September, Maggie used 120 minutes and her bill was $51. Find the cost if Maggie uses 165 minutes in October.
y - 51 = .3 (x-120)
y = .3x+15
y = $64.50
To serve 1 person at a local restaurant, it takes 10 minutes. To serve 5 people, it takes 18 minutes. Find the number of minutes it will take to serve a party of 8.
m = 18-10/5-1
m = 2
y = 10 = 2(x-1)
y = 2x+8
y = 24 min
A landscape supply business charges $35 to deliver mulch. The cost of the mulch is $29 per cubic yard. Find the cost of have 6 cubic yards delivered.
y = 29x + 35
y = $209
A landscaping company ordered 17 plants and 8 trees for a total of $964. If plants are $12 each, find the cost for each tree.
17x + 8y = 964
y = 95 trees
Carly has already written 35 pages of a novel. She plans to write 12 additional pages per month until she is finished. Find the total number of pages written at 5 months.
y = 12x + 35
y = 95 pages
There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven. If driven 48 miles, it costs $64 to rent a truck. Find the daily fee.
y - 64 = .5(x-48)
y = .5x+40
y = $40
The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. Find the cost of 4 lessons.
m = 122-82/11-7
m = 10
y - 82 = 10 (x-7)
y = 10x+12
y = $52
Hallie used a birthday check to start a savings account. She plans to save $25 per month as well. After 9 months, Hallie has $300. What was the amount of the birthday check?
y - 300 = 25(x-9)
y = 25x + 75
y = $75
A road side vegetable stand sells pumpkins for $5 each and tomatoes for $3 each. The total sales on a certain day was $98. If they sold 10 pumpkins, find the number of tomatoes sold.
5x+3y=98
y = 16 tomatoes
The late fee for library books is $2.00 plus $0.15 each day for a book that is late. If Maria's fee for a late book was $3.20, how many days late was the book?
y = .15x + 2
x = 8 days
To lease a new car, you must make a down payment when you sign the lease, then pay $199 per month. Six months after signing his lease, Mr. Scott had paid $2,694. Find the total amount he will have paid after 3 years.
y - 2694 = 199(x-6)
y = 199x + 1500
y = $8664
To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $174.45. The cost for 8 tickets is $271.95. Find the total cost to order 12 tickets.
m = 271.95-174.45/8-5
m = 32.5
y - 174.45 = 32.5(x-5)
y = 32.5x+11.95
y= $401.95A group of mountain climbers begin an expedition with 240 pounds of food. They plan to eat a total of 12 pounds of food per day. Find the number of days their food will last.
y = -12x + 240
x = 20 days